dynamics_notebook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "from casadi import *\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "opti = casadi.Opti()\n",
    "dt=0.2\n",
    "N=20\n",
    "\n",
    "linear_states=opti.variable(6)\n",
    "angular_states=opti.variable(6)\n",
    "n_states=12\n",
    "states=vertcat(linear_states, angular_states)\n",
    "\n",
    "\n",
    "control_states=opti.variable(4)\n",
    "n_controls=4\n",
    "controls=vertcat(control_states)\n",
    "\n",
    "\n",
    "g=9.81\n",
    "m=1\n",
    "Ixx=0.0092\n",
    "Iyy=0.0093\n",
    "Izz=0.0151\n",
    "d1x=0.2\n",
    "d2x=d1x\n",
    "d3x=d1x\n",
    "d4x=d1x\n",
    "d1y=d1x\n",
    "d2y=d1x\n",
    "d3y=d1x\n",
    "d4y=d1x\n",
    "\n",
    "\n",
    "Fz=(control_states[0]+control_states[1]+control_states[2]+control_states[3])\n",
    "L=control_states[0]*d1y-control_states[1]*d2y-control_states[2]*d3y+control_states[3]*d4y\n",
    "M=control_states[0]*d1x-control_states[1]*d2x+control_states[2]*d3x-control_states[3]*d4x\n",
    "\n",
    "l=0.42\n",
    "\n",
    "Nz=-control_states[0]*l-control_states[1]*l+control_states[2]*l+control_states[3]*l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "\n",
    "dx=cos(angular_states[1])*cos(angular_states[2])*linear_states[3]+(-cos(angular_states[0])*sin(angular_states[2])+sin(angular_states[0])*sin(angular_states[1])*cos(angular_states[2]))*linear_states[4]+(sin(angular_states[0])*sin(angular_states[2])+cos(angular_states[0])*sin(angular_states[1])*cos(angular_states[2]))*linear_states[5]\n",
    "dy=cos(angular_states[1])*sin(angular_states[2])*linear_states[3]+(cos(angular_states[0])*cos(angular_states[2])+sin(angular_states[0])*sin(angular_states[1])*sin(angular_states[2]))*linear_states[4]+(-sin(angular_states[0])*cos(angular_states[2])+cos(angular_states[0])*sin(angular_states[1])*sin(angular_states[2]))*linear_states[5]\n",
    "dz=-1*(-sin(angular_states[1])*linear_states[3]+sin(angular_states[0])*cos(angular_states[1])*linear_states[4]+cos(angular_states[0])*cos(angular_states[1])*linear_states[5])\n",
    "du=-g*sin(angular_states[1])-angular_states[5]*linear_states[4]-angular_states[4]*linear_states[5]\n",
    "dv=g*sin(angular_states[0])*cos(angular_states[1])-angular_states[5]*linear_states[3]+angular_states[3]*linear_states[5]\n",
    "dw=(1/m)*(-Fz)+g*cos(angular_states[0])*cos(angular_states[1])+angular_states[4]*linear_states[3]-angular_states[3]*linear_states[4]\n",
    "dphi=angular_states[3]+(angular_states[4]*sin(angular_states[0])+angular_states[5]*cos(angular_states[0]))*tan(angular_states[1])\n",
    "dtheta=angular_states[4]*cos(0)-angular_states[5]*sin(angular_states[0])\n",
    "dpsi=(angular_states[4]*sin(angular_states[0])+angular_states[5]*cos(angular_states[0]))*1/(cos(angular_states[1]))\n",
    "dp=(1/Ixx)*(L+(Iyy-Izz)*angular_states[4]*angular_states[5])\n",
    "dq=(1/Iyy)*(M+(Izz-Ixx)*angular_states[3]*angular_states[5])\n",
    "dr=(1/Izz)*(Nz+(Ixx-Iyy)*angular_states[3]*angular_states[4])\n",
    "\n",
    "\n",
    "rhs=vertcat(dx,dy,dz,du,dv,dw,dphi,dtheta,dpsi,dp,dq,dr)\n",
    "\n",
    "f=Function('f', [states, controls],[rhs])  #Non-linear mapping function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# Define state, control and parameter matrices\n",
    "X=opti.variable(n_states,N+1)\n",
    "U=opti.variable(n_controls,N)\n",
    "P=opti.parameter(2*n_states)\n",
    "# States Integration\n",
    "X[:,0] = P[0:n_states] # Initial State\n",
    "for k in range(N):\n",
    "    st = X[:,k]\n",
    "    con = U[:,k]\n",
    "    f_value=f(st,con)\n",
    "    st_next=st+dt*f_value\n",
    "    X[:,k+1]=st_next\n",
    "    # opti.subject_to(X[:,k+1]==st_next)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "obj=0\n",
    "\n",
    "# Defining weighing matrices\n",
    "Q=np.eye(n_states, dtype=float)\n",
    "Q=Q*0.5\n",
    "\n",
    "R=np.eye(n_controls, dtype=float)\n",
    "R=R*0.5\n",
    "\n",
    "for k in range(N):\n",
    "    st=X[:,k]\n",
    "    con=U[:,k]\n",
    "    obj=obj+mtimes(mtimes((st-P[n_states:2*n_states]).T,Q),(st-P[n_states:2*n_states]))+mtimes(mtimes(con.T, R), con)\n",
    "\n",
    "opti.minimize(obj)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "max_vel = 1\n",
    "max_rot = 0.1\n",
    "opti.subject_to(X[3,:]<=max_vel)\n",
    "opti.subject_to(X[4,:]<=max_vel)\n",
    "opti.subject_to(X[5,:]<=max_vel)\n",
    "\n",
    "opti.subject_to(X[3,:]>=-max_vel)\n",
    "opti.subject_to(X[4,:]>=-max_vel)\n",
    "opti.subject_to(X[5,:]>=-max_vel)\n",
    "\n",
    "opti.subject_to(X[9,:]<=max_rot)\n",
    "opti.subject_to(X[10,:]<=max_rot)\n",
    "opti.subject_to(X[11,:]<=max_rot)\n",
    "\n",
    "opti.subject_to(X[9,:]>=-max_rot)\n",
    "opti.subject_to(X[10,:]>=-max_rot)\n",
    "opti.subject_to(X[11,:]>=-max_rot)\n",
    "\n",
    "\n",
    "opti.solver('ipopt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "x0=vertcat(0,0,0,0,0,0,0,0,0,0,0,0)\n",
    "xs=vertcat(10,10,10,0,0,0,0,0,0,0,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.1715071e+04 3.82e+01 8.51e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  6.4972166e+03 1.22e+01 6.45e+01  -1.0 3.83e+01  -4.0 6.78e-01 6.78e-01f  1\n",
      "   2  3.3914538e+03 0.00e+00 5.33e+01  -1.0 1.23e+01  -4.5 4.70e-01 1.00e+00f  1\n",
      "   3  3.1878288e+03 0.00e+00 2.21e+00  -1.0 1.94e+00  -5.0 5.97e-01 9.72e-01f  1\n",
      "   4  2.9501407e+03 0.00e+00 9.43e-01  -1.0 1.15e+00  -5.4 9.87e-01 1.00e+00f  1\n",
      "   5  2.7976763e+03 0.00e+00 1.16e+00  -1.7 9.06e-01  -5.9 8.88e-01 1.00e+00f  1\n",
      "   6  2.7366911e+03 0.00e+00 5.26e-01  -1.7 5.80e-01  -6.4 1.00e+00 1.00e+00f  1\n",
      "   7  2.7349155e+03 0.00e+00 8.39e-03  -1.7 3.33e-02  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.6903295e+03 1.04e-03 2.44e-01  -3.8 2.01e-01  -7.3 7.77e-01 8.01e-01f  1\n",
      "   9  2.6823263e+03 4.78e-04 1.38e-01  -3.8 1.59e-01  -7.8 6.03e-01 4.86e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.6740117e+03 0.00e+00 1.25e-01  -3.8 1.29e-01  -8.3 4.67e-01 7.24e-01h  1\n",
      "  11  2.6722903e+03 1.97e-04 1.10e-01  -3.8 6.51e-02  -8.8 7.58e-01 4.23e-01h  1\n",
      "  12  2.6704392e+03 0.00e+00 2.55e-02  -3.8 6.38e-02  -9.2 7.64e-01 7.72e-01h  1\n",
      "  13  2.6699683e+03 0.00e+00 3.53e-02  -3.8 3.40e-02  -9.7 8.08e-01 1.00e+00h  1\n",
      "  14  2.6699334e+03 0.00e+00 1.85e-03  -3.8 9.58e-03 -10.2 1.00e+00 1.00e+00h  1\n",
      "  15  2.6699335e+03 0.00e+00 3.63e-06  -3.8 6.51e-04 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  2.6693248e+03 2.93e-05 2.55e-03  -5.7 2.28e-02 -11.2 8.19e-01 8.87e-01f  1\n",
      "  17  2.6692340e+03 8.40e-05 4.38e-04  -5.7 2.22e-02 -11.6 9.46e-01 9.82e-01h  1\n",
      "  18  2.6692308e+03 0.00e+00 1.21e-04  -5.7 1.95e-02 -12.1 1.00e+00 1.00e+00f  1\n",
      "  19  2.6692307e+03 0.00e+00 1.83e-05  -5.7 8.20e-03 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.6692218e+03 3.31e-06 4.88e-05  -8.6 1.89e-02 -13.1 8.76e-01 9.97e-01h  1\n",
      "  21  2.6692217e+03 5.06e-07 2.54e-05  -8.6 2.94e-02 -13.5 9.19e-01 1.00e+00h  1\n",
      "  22  2.6692217e+03 5.57e-08 2.00e-06  -8.6 1.48e-02 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  2.6692217e+03 0.00e+00 3.95e-07  -8.6 7.67e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  2.6692217e+03 0.00e+00 2.35e-08  -8.6 3.29e-03 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  2.6692217e+03 0.00e+00 3.26e-09  -9.0 2.12e-03 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.8316581762574835e+01    2.6692216707235202e+03\n",
      "Dual infeasibility......:   3.2629259294481017e-09    2.2730296389213425e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4727092960871449e-09    1.0259233436191648e-07\n",
      "Overall NLP error.......:   3.2629259294481017e-09    2.2730296389213425e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.765\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (192.31us)   5.39ms (207.15us)        26\n",
      "       nlp_g  |   6.00ms (230.77us)   5.50ms (211.38us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 867.00us (867.00us)         1\n",
      "  nlp_grad_f  |  18.00ms (666.67us)  15.68ms (580.85us)        27\n",
      "  nlp_hess_l  | 486.00ms ( 19.44ms) 486.90ms ( 19.48ms)        25\n",
      "   nlp_jac_g  | 127.00ms (  4.70ms) 128.76ms (  4.77ms)        27\n",
      "       total  | 767.00ms (767.00ms) 766.19ms (766.19ms)         1\n",
      "[0, 0, 0, 0, 0, -1, 0, 0, 0, 0.1, -0.1, 0.0380187]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2772519e+03 5.65e+00 1.12e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.4024378e+03 2.76e+00 9.42e+01  -1.0 2.64e+00  -4.0 1.13e-01 5.15e-01f  1\n",
      "   2  2.6907576e+03 3.13e-01 3.97e+01  -1.0 1.29e+00  -4.5 3.09e-01 9.86e-01h  1\n",
      "   3  2.7258807e+03 0.00e+00 2.57e+02  -1.0 4.04e-01  -5.0 8.14e-01 9.90e-01f  1\n",
      "   4  2.8047430e+03 0.00e+00 1.38e+03  -1.0 2.62e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  2.8406211e+03 0.00e+00 2.49e-01  -1.0 1.92e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.7039676e+03 0.00e+00 3.45e+06  -5.7 2.67e-01  -6.4 7.66e-01 1.00e+00f  1\n",
      "   7  2.6083700e+03 4.90e-06 1.27e+06  -5.7 3.34e-01  -6.9 6.32e-01 8.91e-01f  1\n",
      "   8  2.6024885e+03 3.20e-03 4.39e+05  -5.7 1.56e-01  -7.3 6.54e-01 2.81e-01h  1\n",
      "   9  2.5932785e+03 1.37e-03 2.32e+05  -5.7 1.57e-01  -7.8 4.72e-01 4.72e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.5861748e+03 5.15e-04 1.22e+05  -5.7 1.21e-01  -8.3 4.75e-01 5.63e-01h  1\n",
      "  11  2.5833900e+03 3.02e-04 4.72e+04  -5.7 9.04e-02  -8.8 6.13e-01 4.29e-01h  1\n",
      "  12  2.5812453e+03 4.67e-05 1.88e+04  -5.7 7.38e-02  -9.2 6.02e-01 5.89e-01h  1\n",
      "  13  2.5804926e+03 1.79e-05 6.25e+03  -5.7 7.68e-02  -9.7 6.67e-01 4.99e-01h  1\n",
      "  14  2.5798743e+03 4.27e-06 2.60e+03  -5.7 6.00e-02 -10.2 5.85e-01 7.84e-01h  1\n",
      "  15  2.5797294e+03 9.15e-05 9.73e+01  -5.7 2.67e-02 -10.7 9.63e-01 8.76e-01h  1\n",
      "  16  2.5797064e+03 0.00e+00 2.48e-04  -5.7 1.86e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  2.5797062e+03 0.00e+00 2.16e-05  -5.7 4.08e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  2.5797062e+03 0.00e+00 7.14e-07  -5.7 7.20e-04 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.5796945e+03 3.43e-06 6.29e+02  -8.6 1.78e-02 -12.6 8.78e-01 9.96e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.5796944e+03 1.41e-07 9.24e+01  -8.6 3.19e-02 -13.1 8.59e-01 1.00e+00h  1\n",
      "  21  2.5796944e+03 0.00e+00 8.27e-08  -8.6 1.61e-02 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  2.5796944e+03 0.00e+00 2.26e-10  -8.6 8.73e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  2.5796944e+03 0.00e+00 7.96e-11  -9.0 4.56e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 23\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.8358086761702744e+01    2.5796943776807766e+03\n",
      "Dual infeasibility......:   7.9637629823992029e-11    7.2445206771220007e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.9798781528650857e-09    2.7107523091089761e-07\n",
      "Overall NLP error.......:   2.9798781528650857e-09    2.7107523091089761e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 24\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 24\n",
      "Number of Lagrangian Hessian evaluations             = 23\n",
      "Total seconds in IPOPT                               = 0.613\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 83.33us)   4.73ms (197.04us)        24\n",
      "       nlp_g  |   7.00ms (291.67us)   5.27ms (219.71us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.00ms (  1.00ms)         1\n",
      "  nlp_grad_f  |  14.00ms (560.00us)  14.46ms (578.60us)        25\n",
      "  nlp_hess_l  | 354.00ms ( 15.39ms) 357.68ms ( 15.55ms)        23\n",
      "   nlp_jac_g  | 107.00ms (  4.28ms) 106.27ms (  4.25ms)        25\n",
      "       total  | 614.00ms (614.00ms) 614.23ms (614.23ms)         1\n",
      "[0, 0, 0.2, -0.02, -0.02, -1, 0.02, -0.02, 0.00760374, 0.1, -0.1, 0.1]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.4455764e+03 6.79e-01 8.41e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.5112053e+03 1.35e-01 2.20e+01  -1.0 5.11e-01  -4.0 1.03e-01 5.50e-01f  1\n",
      "   2  2.6098033e+03 0.00e+00 1.41e+01  -1.0 2.92e-01  -4.5 5.97e-01 9.90e-01f  1\n",
      "   3  2.6911114e+03 0.00e+00 3.68e+02  -1.0 2.23e-01  -5.0 8.24e-01 9.90e-01f  1\n",
      "   4  2.7889920e+03 0.00e+00 1.92e+03  -1.0 3.34e-01  -5.4 1.00e+00 9.91e-01H  1\n",
      "   5  2.8135428e+03 0.00e+00 7.92e-02  -1.0 1.57e-01  -5.9 1.00e+00 1.00e+00H  1\n",
      "   6  2.6838975e+03 0.00e+00 7.19e+06  -5.7 2.83e-01  -6.4 6.79e-01 1.00e+00f  1\n",
      "   7  2.5699360e+03 0.00e+00 2.77e+06  -5.7 3.32e-01  -6.9 6.15e-01 8.50e-01f  1\n",
      "   8  2.5294885e+03 1.47e-03 8.77e+05  -5.7 2.54e-01  -7.3 6.83e-01 6.98e-01h  1\n",
      "   9  2.5209296e+03 8.76e-04 3.69e+05  -5.7 2.19e-01  -7.8 5.79e-01 4.05e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.5121508e+03 2.35e-04 1.53e+05  -5.7 1.88e-01  -8.3 5.87e-01 4.76e-01h  1\n",
      "  11  2.5054714e+03 4.00e-05 7.11e+04  -5.7 1.41e-01  -8.8 5.34e-01 5.97e-01h  1\n",
      "  12  2.5040002e+03 6.45e-05 2.80e+04  -5.7 8.91e-02  -9.2 6.06e-01 3.33e-01h  1\n",
      "  13  2.5020606e+03 4.97e-07 1.03e+04  -5.7 7.02e-02  -9.7 6.33e-01 6.15e-01h  1\n",
      "  14  2.5013083e+03 0.00e+00 4.03e+03  -5.7 5.31e-02 -10.2 6.08e-01 6.64e-01h  1\n",
      "  15  2.5009793e+03 1.19e-04 1.38e+03  -5.7 6.15e-02 -10.7 6.57e-01 8.22e-01h  1\n",
      "  16  2.5009087e+03 0.00e+00 2.58e+01  -5.7 1.47e-02 -11.2 9.81e-01 9.83e-01h  1\n",
      "  17  2.5009056e+03 0.00e+00 4.94e-05  -5.7 1.22e-02 -11.6 1.00e+00 1.00e+00f  1\n",
      "  18  2.5009055e+03 0.00e+00 2.04e-06  -5.7 1.50e-03 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.5008882e+03 4.00e-06 3.14e+02  -8.6 1.52e-02 -12.6 8.89e-01 9.92e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.5008880e+03 0.00e+00 6.27e+01  -8.6 3.49e-02 -13.1 8.15e-01 1.00e+00h  1\n",
      "  21  2.5008880e+03 0.00e+00 1.47e-09  -8.6 1.83e-02 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  2.5008880e+03 0.00e+00 2.93e-12  -8.6 1.01e-02 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.8247746020824394e+01    2.5008879784566016e+03\n",
      "Dual infeasibility......:   2.9274360713316128e-12    4.0121063007663990e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.4445105656382580e-09    1.2943879703858348e-06\n",
      "Overall NLP error.......:   9.4445105656382580e-09    1.2943879703858348e-06\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.604\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  10.00ms (400.00us)   5.42ms (216.92us)        25\n",
      "       nlp_g  |   1.00ms ( 40.00us)   4.86ms (194.36us)        25\n",
      "    nlp_grad  |        0 (       0) 750.00us (750.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (625.00us)  13.98ms (582.33us)        24\n",
      "  nlp_hess_l  | 359.00ms ( 16.32ms) 356.26ms ( 16.19ms)        22\n",
      "   nlp_jac_g  | 113.00ms (  4.71ms) 111.99ms (  4.67ms)        24\n",
      "       total  | 605.00ms (605.00ms) 604.98ms (604.98ms)         1\n",
      "[1.32909e-06, 5.43436e-07, 0.40008, -0.000362616, -0.000370464, -1, 0.039608, -0.0404, 0.0272037, 0.1, -0.1, 0.0999997]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.3370165e+03 7.64e-01 9.14e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3977180e+03 2.96e-01 7.10e+00  -1.0 6.15e-01  -4.0 1.16e-01 4.32e-01f  1\n",
      "   2  2.5202831e+03 0.00e+00 5.92e+00  -1.0 3.80e-01  -4.5 6.55e-01 9.90e-01f  1\n",
      "   3  2.6019983e+03 0.00e+00 2.01e+02  -1.0 2.11e-01  -5.0 8.76e-01 9.90e-01f  1\n",
      "   4  2.6915685e+03 0.00e+00 6.20e+02  -1.0 3.66e-01  -5.4 1.00e+00 9.96e-01H  1\n",
      "   5  2.7026370e+03 0.00e+00 6.41e-02  -1.0 1.03e-01  -5.9 1.00e+00 1.00e+00H  1\n",
      "   6  2.5866939e+03 0.00e+00 5.84e+06  -5.7 2.87e-01  -6.4 6.69e-01 1.00e+00f  1\n",
      "   7  2.4748091e+03 0.00e+00 3.53e+06  -5.7 3.04e-01  -6.9 3.97e-01 9.01e-01f  1\n",
      "   8  2.4521917e+03 0.00e+00 1.43e+06  -5.7 2.04e-01  -7.3 5.96e-01 6.17e-01h  1\n",
      "   9  2.4415093e+03 5.84e-04 5.69e+05  -5.7 2.03e-01  -7.8 6.00e-01 4.94e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.4323745e+03 1.50e-04 2.21e+05  -5.7 1.81e-01  -8.3 6.11e-01 4.83e-01h  1\n",
      "  11  2.4246610e+03 0.00e+00 1.02e+05  -5.7 1.41e-01  -8.8 5.39e-01 6.49e-01h  1\n",
      "  12  2.4224257e+03 0.00e+00 4.80e+04  -5.7 8.98e-02  -9.2 5.30e-01 5.54e-01h  1\n",
      "  13  2.4209943e+03 3.08e-07 1.76e+04  -5.7 8.88e-02  -9.7 6.33e-01 6.02e-01h  1\n",
      "  14  2.4204281e+03 0.00e+00 6.52e+03  -5.7 7.51e-02 -10.2 6.29e-01 6.23e-01h  1\n",
      "  15  2.4201142e+03 3.82e-04 2.31e+03  -5.7 5.53e-02 -10.7 6.46e-01 8.24e-01h  1\n",
      "  16  2.4200436e+03 7.78e-05 7.35e+01  -5.7 1.88e-02 -11.2 9.68e-01 9.38e-01h  1\n",
      "  17  2.4200364e+03 0.00e+00 6.53e-05  -5.7 1.49e-02 -11.6 1.00e+00 1.00e+00f  1\n",
      "  18  2.4200363e+03 0.00e+00 2.44e-06  -5.7 2.12e-03 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.4200207e+03 2.44e-06 5.25e+01  -8.6 1.58e-02 -12.6 8.86e-01 9.91e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.4200205e+03 0.00e+00 1.01e+01  -8.6 3.43e-02 -13.1 8.22e-01 1.00e+00h  1\n",
      "  21  2.4200205e+03 0.00e+00 2.09e-11  -8.6 1.78e-02 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  2.4200205e+03 0.00e+00 7.06e-12  -8.6 9.85e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.9314952738201828e+01    2.4200204753845742e+03\n",
      "Dual infeasibility......:   7.0627947934553958e-12    8.8491586002155834e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6346702981259966e-09    1.2071528059672166e-06\n",
      "Overall NLP error.......:   9.6346702981259966e-09    1.2071528059672166e-06\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.592\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (120.00us)   4.72ms (188.92us)        25\n",
      "       nlp_g  |   7.00ms (280.00us)   4.38ms (175.04us)        25\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 873.00us (873.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (625.00us)  13.06ms (544.29us)        24\n",
      "  nlp_hess_l  | 357.00ms ( 16.23ms) 359.43ms ( 16.34ms)        22\n",
      "   nlp_jac_g  | 101.00ms (  4.21ms) 102.81ms (  4.28ms)        24\n",
      "       total  | 593.00ms (593.00ms) 593.42ms (593.42ms)         1\n",
      "[0.00778409, 0.00806072, 0.599766, 0.058888, 0.057264, -1, 0.0588322, -0.0611919, 0.0464117, 0.1, -0.1, -0.0999997]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2150026e+03 2.37e+00 2.30e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.2555607e+03 1.42e+00 9.01e+00  -1.0 1.20e+00  -4.0 8.36e-02 3.43e-01f  1\n",
      "   2  2.4137032e+03 0.00e+00 3.48e+01  -1.0 8.03e-01  -4.5 4.84e-01 9.90e-01f  1\n",
      "   3  2.4682559e+03 0.00e+00 1.50e+01  -1.0 1.52e-01  -5.0 1.00e+00 9.90e-01h  1\n",
      "   4  2.5219216e+03 0.00e+00 1.72e+02  -1.0 4.62e-01  -5.4 1.00e+00 9.99e-01h  1\n",
      "   5  2.5224803e+03 0.00e+00 8.10e-03  -1.0 3.20e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.4296042e+03 0.00e+00 4.98e+06  -5.7 2.68e-01  -6.4 6.74e-01 1.00e+00f  1\n",
      "   7  2.3699725e+03 0.00e+00 3.41e+06  -5.7 2.64e-01  -6.9 3.15e-01 8.31e-01f  1\n",
      "   8  2.3599085e+03 1.06e-04 1.12e+06  -5.7 1.69e-01  -7.3 6.72e-01 4.94e-01h  1\n",
      "   9  2.3495713e+03 0.00e+00 3.82e+05  -5.7 1.79e-01  -7.8 6.58e-01 5.25e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3434054e+03 0.00e+00 1.57e+05  -5.7 1.43e-01  -8.3 5.88e-01 5.29e-01h  1\n",
      "  11  2.3408856e+03 0.00e+00 8.93e+04  -5.7 1.08e-01  -8.8 4.32e-01 4.25e-01h  1\n",
      "  12  2.3385454e+03 0.00e+00 3.33e+04  -5.7 8.56e-02  -9.2 6.27e-01 6.53e-01h  1\n",
      "  13  2.3379506e+03 2.06e-07 1.19e+04  -5.7 7.64e-02  -9.7 6.44e-01 4.63e-01h  1\n",
      "  14  2.3374052e+03 3.70e-04 4.67e+03  -5.7 6.04e-02 -10.2 6.06e-01 7.60e-01h  1\n",
      "  15  2.3372575e+03 3.04e-04 5.11e+02  -5.7 4.45e-02 -10.7 8.91e-01 8.22e-01h  1\n",
      "  16  2.3372243e+03 0.00e+00 7.05e-04  -5.7 1.46e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  2.3372238e+03 0.00e+00 1.33e-05  -5.7 1.48e-02 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  2.3372153e+03 7.06e-07 3.74e+01  -8.6 1.88e-02 -12.1 8.77e-01 9.95e-01h  1\n",
      "  19  2.3372152e+03 0.00e+00 2.78e+00  -8.6 2.94e-02 -12.6 9.29e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3372152e+03 0.00e+00 9.59e-12  -8.6 1.49e-02 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  2.3372152e+03 0.00e+00 1.92e-11  -8.6 7.61e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.3746685061606421e+01    2.3372151770505243e+03\n",
      "Dual infeasibility......:   1.9198864720237907e-11    1.3296677266037786e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.9383460799834242e-09    6.8830622179671152e-07\n",
      "Overall NLP error.......:   9.9383460799834242e-09    6.8830622179671152e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 22\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 22\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.570\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (272.73us)   4.32ms (196.41us)        22\n",
      "       nlp_g  |   4.00ms (181.82us)   3.91ms (177.73us)        22\n",
      "    nlp_grad  |        0 (       0) 793.00us (793.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (478.26us)  12.29ms (534.22us)        23\n",
      "  nlp_hess_l  | 337.00ms ( 16.05ms) 335.63ms ( 15.98ms)        21\n",
      "   nlp_jac_g  | 103.00ms (  4.48ms) 101.46ms (  4.41ms)        23\n",
      "       total  | 571.00ms (571.00ms) 571.29ms (571.29ms)         1\n",
      "[0.0306063, 0.0323384, 0.797654, 0.160017, 0.153588, -1, 0.0801275, -0.080016, 0.0252307, 0.0927652, -0.1, -0.1]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.1531861e+03 7.46e-01 8.86e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.1881099e+03 5.01e-01 2.13e+00  -1.0 6.18e-01  -4.0 1.02e-01 2.40e-01f  1\n",
      "   2  2.2570610e+03 1.25e-01 1.38e+00  -1.0 4.97e-01  -4.5 5.70e-01 4.93e-01f  1\n",
      "   3  2.3017836e+03 8.87e-03 1.38e+01  -1.0 3.46e-01  -5.0 9.65e-01 4.42e-01f  1\n",
      "   4  2.4783088e+03 0.00e+00 1.71e+01  -1.0 6.04e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  2.5003822e+03 0.00e+00 4.51e+01  -1.0 1.71e-01  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  2.5014295e+03 0.00e+00 1.72e-03  -1.0 1.01e-02  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.3607256e+03 0.00e+00 1.41e+05  -3.8 7.00e-01  -6.9 6.55e-01 9.70e-01f  1\n",
      "   8  2.3172469e+03 0.00e+00 3.58e+04  -3.8 3.94e-01  -7.3 7.36e-01 6.34e-01f  1\n",
      "   9  2.2794246e+03 0.00e+00 1.79e+04  -3.8 3.33e-01  -7.8 5.39e-01 8.15e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2632948e+03 0.00e+00 9.21e+03  -3.8 1.82e-01  -8.3 5.02e-01 8.32e-01h  1\n",
      "  11  2.2579128e+03 9.44e-05 4.92e+03  -3.8 9.75e-02  -8.8 4.71e-01 7.85e-01h  1\n",
      "  12  2.2552631e+03 0.00e+00 1.76e+03  -3.8 5.72e-02  -9.2 6.44e-01 8.65e-01h  1\n",
      "  13  2.2541298e+03 0.00e+00 5.51e+02  -3.8 3.56e-02  -9.7 6.87e-01 9.79e-01h  1\n",
      "  14  2.2539711e+03 0.00e+00 1.26e-02  -3.8 3.53e-02 -10.2 1.00e+00 1.00e+00f  1\n",
      "  15  2.2539458e+03 0.00e+00 3.25e-04  -3.8 4.93e-03 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  2.2530149e+03 1.28e-04 7.08e+02  -5.7 3.25e-02 -11.2 7.80e-01 8.11e-01h  1\n",
      "  17  2.2528090e+03 3.08e-04 4.54e+02  -5.7 4.09e-02 -11.6 9.17e-01 7.99e-01h  1\n",
      "  18  2.2527556e+03 4.62e-05 1.98e-03  -5.7 2.01e-02 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.2527556e+03 0.00e+00 8.31e-05  -5.7 1.05e-02 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2527556e+03 0.00e+00 6.05e-07  -5.7 1.54e-04 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  2.2527419e+03 0.00e+00 3.36e+00  -8.6 1.59e-02 -13.5 8.86e-01 8.97e-01h  1\n",
      "  22  2.2527403e+03 1.11e-06 5.64e+00  -8.6 3.50e-02 -14.0 8.18e-01 9.89e-01h  1\n",
      "  23  2.2527403e+03 0.00e+00 7.06e-08  -8.6 1.81e-02 -14.5 1.00e+00 1.00e+00f  1\n",
      "  24  2.2527403e+03 0.00e+00 1.39e-11  -8.6 9.95e-03 -15.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.8297042366622936e+01    2.2527402929012987e+03\n",
      "Dual infeasibility......:   1.3912426766182762e-11    1.7129043984392879e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.9594291881710703e-09    1.2262095139167144e-06\n",
      "Overall NLP error.......:   9.9594291881710703e-09    1.2262095139167144e-06\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.563\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 80.00us)   4.31ms (172.44us)        25\n",
      "       nlp_g  |   8.00ms (320.00us)   4.67ms (186.64us)        25\n",
      "    nlp_grad  |        0 (       0) 721.00us (721.00us)         1\n",
      "  nlp_grad_f  |  10.00ms (384.62us)  12.98ms (499.15us)        26\n",
      "  nlp_hess_l  | 334.00ms ( 13.92ms) 330.25ms ( 13.76ms)        24\n",
      "   nlp_jac_g  | 101.00ms (  3.88ms)  99.20ms (  3.82ms)        26\n",
      "       total  | 564.00ms (564.00ms) 564.07ms (564.07ms)         1\n",
      "[0.0770541, 0.0801528, 0.991365, 0.299913, 0.294775, -1, 0.100408, -0.0984151, 0.00362493, -0.1, 0.0511889, -0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.6314213e+03 7.89e+00 2.62e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.5819841e+03 7.56e+00 2.56e+00  -1.0 2.91e+00  -4.0 4.25e-02 4.15e-02f  1\n",
      "   2  3.4840609e+03 6.96e+00 5.02e+00  -1.0 2.81e+00  -4.5 6.18e-02 7.51e-02f  1\n",
      "   3  3.3718944e+03 6.27e+00 4.23e+00  -1.0 2.56e+00  -5.0 5.78e-02 8.98e-02f  1\n",
      "   4  3.2023358e+03 5.21e+00 1.04e+01  -1.0 2.31e+00  -5.4 8.53e-02 1.50e-01f  1\n",
      "   5  2.8603374e+03 2.91e+00 2.96e+01  -1.0 2.34e+00  -5.9 1.49e-01 3.82e-01f  1\n",
      "   6  2.4900194e+03 4.91e-01 2.39e+01  -1.0 1.70e+00  -6.4 3.28e-01 8.83e-01f  1\n",
      "   7  2.5014781e+03 0.00e+00 7.18e+00  -1.0 5.45e-01  -6.9 1.00e+00 9.90e-01f  1\n",
      "   8  2.5931375e+03 0.00e+00 1.63e+02  -1.0 6.74e-01  -7.3 1.00e+00 9.92e-01f  1\n",
      "   9  2.6004880e+03 0.00e+00 3.98e-01  -1.0 2.92e-01  -7.8 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.5520289e+03 0.00e+00 5.01e+05  -3.8 2.12e-01  -8.3 7.51e-01 1.00e+00h  1\n",
      "  11  2.3662336e+03 0.00e+00 2.95e+05  -3.8 1.85e+00  -8.8 4.12e-01 8.92e-01f  1\n",
      "  12  2.2962852e+03 1.00e-03 1.08e+05  -3.8 8.70e-01  -9.2 6.32e-01 6.06e-01h  1\n",
      "  13  2.2293146e+03 0.00e+00 5.32e+04  -3.8 3.41e-01  -9.7 5.09e-01 8.34e-01h  1\n",
      "  14  2.2063867e+03 0.00e+00 2.27e+04  -3.8 4.82e-01 -10.2 5.74e-01 3.98e-01h  1\n",
      "  15  2.1893114e+03 0.00e+00 3.82e+03  -3.8 1.83e-01 -10.7 8.32e-01 5.52e-01h  1\n",
      "  16  2.1738009e+03 0.00e+00 9.31e-02  -3.8 1.19e-01 -11.2 1.00e+00 9.27e-01h  1\n",
      "  17  2.1722444e+03 0.00e+00 2.33e-03  -3.8 5.05e-02 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  2.1721732e+03 0.00e+00 9.42e-05  -3.8 6.49e-03 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.1687541e+03 0.00e+00 2.77e+03  -5.7 5.31e-02 -12.6 5.65e-01 7.43e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.1678117e+03 0.00e+00 8.17e+02  -5.7 4.91e-02 -13.1 6.39e-01 5.93e-01h  1\n",
      "  21  2.1671424e+03 2.57e-04 5.19e+02  -5.7 4.98e-02 -13.5 7.34e-01 9.18e-01h  1\n",
      "  22  2.1670626e+03 1.40e-04 2.41e+00  -5.7 3.77e-02 -14.0 1.00e+00 9.82e-01h  1\n",
      "  23  2.1670597e+03 0.00e+00 2.86e-04  -5.7 1.10e-02 -14.5 1.00e+00 1.00e+00f  1\n",
      "  24  2.1670594e+03 0.00e+00 9.65e-08  -5.7 2.02e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  2.1670082e+03 0.00e+00 1.41e+01  -8.6 1.06e-02 -15.5 8.20e-01 7.48e-01h  1\n",
      "  26  2.1669905e+03 1.11e-04 4.66e+00  -8.6 2.22e-02 -15.9 8.39e-01 9.81e-01h  1\n",
      "  27  2.1669900e+03 1.66e-06 5.52e-01  -8.6 3.51e-02 -16.4 9.01e-01 1.00e+00h  1\n",
      "  28  2.1669899e+03 0.00e+00 5.71e-08  -8.6 1.92e-02 -16.9 1.00e+00 1.00e+00h  1\n",
      "  29  2.1669899e+03 0.00e+00 1.12e-09  -8.6 8.45e-03 -17.4 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 29\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.7891228294854287e+00    2.1669899257400612e+03\n",
      "Dual infeasibility......:   1.1168452829224407e-09    6.3872104062456716e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.7817711680925082e-09    2.1627855288670059e-06\n",
      "Overall NLP error.......:   3.7817711680925082e-09    2.1627855288670059e-06\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 30\n",
      "Number of objective gradient evaluations             = 30\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 30\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 30\n",
      "Number of Lagrangian Hessian evaluations             = 29\n",
      "Total seconds in IPOPT                               = 0.687\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (233.33us)   5.60ms (186.77us)        30\n",
      "       nlp_g  |   7.00ms (233.33us)   5.11ms (170.20us)        30\n",
      "    nlp_grad  |        0 (       0) 749.00us (749.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (354.84us)  14.75ms (475.84us)        31\n",
      "  nlp_hess_l  | 407.00ms ( 14.03ms) 405.12ms ( 13.97ms)        29\n",
      "   nlp_jac_g  | 120.00ms (  3.87ms) 117.60ms (  3.79ms)        31\n",
      "       total  | 688.00ms (688.00ms) 688.54ms (688.54ms)         1\n",
      "[0.155432, 0.159143, 1.17762, 0.508825, 0.51649, -1, 0.0822709, -0.0861726, -0.0153399, -0.0999999, 0.1, -0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2479349e+03 1.72e+00 7.23e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.2488797e+03 1.49e+00 4.94e-01  -1.0 6.81e-01  -4.0 1.28e-01 1.14e-01f  1\n",
      "   2  2.2444662e+03 8.38e-01 4.43e+00  -1.0 5.71e-01  -4.5 1.93e-01 4.11e-01f  1\n",
      "   3  2.2407987e+03 3.57e-01 3.18e+00  -1.0 4.07e-01  -5.0 4.43e-01 4.78e-01f  1\n",
      "   4  2.2868279e+03 0.00e+00 1.02e+01  -1.0 6.72e-01  -5.4 7.12e-01 9.90e-01f  1\n",
      "   5  2.3958144e+03 0.00e+00 3.23e+01  -1.0 7.12e-01  -5.9 1.00e+00 9.91e-01h  1\n",
      "   6  2.4420589e+03 0.00e+00 7.11e-01  -1.0 2.91e-01  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.3535801e+03 0.00e+00 1.35e+05  -3.8 4.65e-01  -6.9 6.32e-01 1.00e+00f  1\n",
      "   8  2.2032472e+03 9.90e-04 7.06e+04  -3.8 1.34e+00  -7.3 4.75e-01 9.27e-01f  1\n",
      "   9  2.1766629e+03 8.36e-04 2.96e+04  -3.8 4.26e-01  -7.8 5.82e-01 4.00e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.1371430e+03 0.00e+00 1.23e+04  -3.8 4.35e-01  -8.3 5.83e-01 4.80e-01f  1\n",
      "  11  2.1125625e+03 0.00e+00 2.33e+03  -3.8 2.72e-01  -8.8 8.11e-01 5.02e-01h  1\n",
      "  12  2.0897363e+03 5.01e-05 1.76e+03  -3.8 2.45e-01  -9.2 2.43e-01 7.90e-01h  1\n",
      "  13  2.0840461e+03 0.00e+00 4.87e+02  -3.8 9.77e-02  -9.7 7.24e-01 1.00e+00h  1\n",
      "  14  2.0828720e+03 0.00e+00 9.06e-03  -3.8 4.03e-02 -10.2 1.00e+00 1.00e+00h  1\n",
      "  15  2.0827422e+03 0.00e+00 1.21e-03  -3.8 1.39e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  2.0810605e+03 0.00e+00 8.00e+01  -5.7 3.75e-02 -11.2 7.23e-01 7.05e-01h  1\n",
      "  17  2.0803920e+03 6.92e-04 1.96e+02  -5.7 4.73e-02 -11.6 6.82e-01 8.46e-01h  1\n",
      "  18  2.0802842e+03 3.54e-04 4.35e+01  -5.7 4.38e-02 -12.1 8.03e-01 8.26e-01h  1\n",
      "  19  2.0802543e+03 0.00e+00 1.83e-03  -5.7 1.34e-02 -12.6 1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.0802537e+03 0.00e+00 4.93e-05  -5.7 5.38e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  2.0802537e+03 0.00e+00 5.15e-08  -5.7 4.03e-05 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  2.0802252e+03 3.05e-05 5.33e-01  -8.6 1.02e-02 -14.0 9.00e-01 8.90e-01h  1\n",
      "  23  2.0802213e+03 8.19e-06 1.23e+00  -8.6 3.73e-02 -14.5 7.85e-01 1.00e+00h  1\n",
      "  24  2.0802213e+03 0.00e+00 2.65e-06  -8.6 2.38e-02 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  2.0802213e+03 0.00e+00 8.75e-08  -8.6 1.27e-02 -15.5 1.00e+00 1.00e+00h  1\n",
      "  26  2.0802213e+03 0.00e+00 6.24e-09  -8.6 5.21e-03 -15.9 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   7.7799390418090777e+00    2.0802213026564755e+03\n",
      "Dual infeasibility......:   6.2401444012039065e-09    1.6685068154490893e-06\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.4968618599130504e-09    9.3500045364707419e-07\n",
      "Overall NLP error.......:   6.2401444012039065e-09    1.6685068154490893e-06\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.607\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (185.19us)   4.48ms (166.00us)        27\n",
      "       nlp_g  |   4.00ms (148.15us)   4.26ms (157.63us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 713.00us (713.00us)         1\n",
      "  nlp_grad_f  |   8.00ms (285.71us)  13.91ms (496.79us)        28\n",
      "  nlp_hess_l  | 362.00ms ( 13.92ms) 361.44ms ( 13.90ms)        26\n",
      "   nlp_jac_g  | 113.00ms (  4.04ms) 109.65ms (  3.92ms)        28\n",
      "       total  | 608.00ms (608.00ms) 607.84ms (607.84ms)         1\n",
      "[0.275061, 0.276706, 1.35899, 0.708016, 0.707302, -1, 0.0638509, -0.064529, -0.0336968, -0.0999998, 0.1, -0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.0378003e+03 7.88e-02 4.54e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.0443326e+03 4.98e-02 9.33e-01  -1.0 2.14e-01  -4.0 9.24e-02 1.54e-01f  1\n",
      "   2  2.0580393e+03 1.25e-02 1.78e+00  -1.0 5.92e-01  -4.5 2.14e-01 2.81e-01f  1\n",
      "   3  2.0859217e+03 6.45e-03 7.53e+00  -1.0 2.74e-01  -5.0 5.11e-01 6.27e-01f  1\n",
      "   4  2.2095478e+03 0.00e+00 5.15e+01  -1.0 1.63e+00  -5.4 6.12e-01 9.90e-01f  1\n",
      "   5  2.2770003e+03 0.00e+00 4.17e+01  -1.0 4.54e-01  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  2.3261509e+03 0.00e+00 7.18e-01  -1.0 2.74e-01  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.2332058e+03 0.00e+00 1.65e+05  -3.8 4.62e-01  -6.9 6.18e-01 1.00e+00f  1\n",
      "   8  2.1083599e+03 4.66e-04 8.19e+04  -3.8 1.20e+00  -7.3 5.04e-01 9.14e-01f  1\n",
      "   9  2.0507289e+03 1.64e-05 4.00e+04  -3.8 2.91e-01  -7.8 5.11e-01 8.70e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.0325930e+03 0.00e+00 1.75e+04  -3.8 2.97e-01  -8.3 5.62e-01 3.63e-01h  1\n",
      "  11  2.0156688e+03 0.00e+00 9.13e+03  -3.8 2.02e-01  -8.8 4.78e-01 5.37e-01h  1\n",
      "  12  2.0011427e+03 0.00e+00 4.89e+03  -3.8 1.86e-01  -9.2 4.64e-01 7.61e-01h  1\n",
      "  13  1.9968492e+03 0.00e+00 4.90e+02  -3.8 9.08e-02  -9.7 9.00e-01 7.00e-01h  1\n",
      "  14  1.9954234e+03 0.00e+00 4.17e-01  -3.8 7.54e-02 -10.2 1.00e+00 5.65e-01h  1\n",
      "  15  1.9944991e+03 0.00e+00 8.48e-03  -3.8 3.70e-02 -10.7 1.00e+00 1.00e+00f  1\n",
      "  16  1.9945142e+03 0.00e+00 3.59e-04  -3.8 1.02e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.9934508e+03 0.00e+00 1.73e+01  -5.7 3.97e-02 -11.6 6.83e-01 6.84e-01h  1\n",
      "  18  1.9929581e+03 4.01e-03 9.80e+02  -5.7 5.24e-02 -12.1 6.93e-01 9.29e-01h  1\n",
      "  19  1.9928804e+03 1.45e-03 8.38e+01  -5.7 3.58e-02 -12.6 9.31e-01 9.84e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.9928733e+03 2.53e-05 3.99e-03  -5.7 9.98e-03 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  1.9928730e+03 0.00e+00 8.65e-05  -5.7 3.78e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.9928730e+03 0.00e+00 4.97e-09  -5.7 1.11e-05 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.9928504e+03 5.22e-05 1.12e+01  -8.6 1.25e-02 -14.5 9.03e-01 9.73e-01f  1\n",
      "  24  1.9928496e+03 6.35e-06 2.75e+00  -8.6 3.66e-02 -15.0 7.94e-01 8.92e-01h  1\n",
      "In iteration 24, 1 Slack too small, adjusting variable bound\n",
      "  25  1.9928495e+03 1.78e-06 7.26e-02  -8.6 2.32e-02 -15.5 9.88e-01 7.66e-01f  1\n",
      "  26  1.9928495e+03 0.00e+00 3.60e-07  -8.6 1.60e-02 -15.9 1.00e+00 1.00e+00h  1\n",
      "  27  1.9928495e+03 0.00e+00 2.40e-08  -8.6 5.70e-03 -16.4 1.00e+00 1.00e+00h  1\n",
      "  28  1.9928495e+03 0.00e+00 1.81e-08  -9.0 3.59e-03 -16.9 1.00e+00 1.00e+00h  1\n",
      "  29  1.9928495e+03 0.00e+00 5.72e-11  -9.0 1.14e-03 -17.4 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 29\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.0165166031324407e+01    1.9928494986387450e+03\n",
      "Dual infeasibility......:   5.7150728594024258e-11    1.1204224355458095e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.7177313414440620e-10    1.9051313054824396e-07\n",
      "Overall NLP error.......:   9.7177313414440620e-10    1.9051313054824396e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 30\n",
      "Number of objective gradient evaluations             = 30\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 30\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 30\n",
      "Number of Lagrangian Hessian evaluations             = 29\n",
      "Total seconds in IPOPT                               = 0.659\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (166.67us)   5.33ms (177.53us)        30\n",
      "       nlp_g  |   5.00ms (166.67us)   5.10ms (169.83us)        30\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.04ms (  1.04ms)         1\n",
      "  nlp_grad_f  |  13.00ms (419.35us)  14.68ms (473.52us)        31\n",
      "  nlp_hess_l  | 400.00ms ( 13.79ms) 400.11ms ( 13.80ms)        29\n",
      "   nlp_jac_g  | 117.00ms (  3.77ms) 114.65ms (  3.70ms)        31\n",
      "       total  | 661.00ms (661.00ms) 660.73ms (660.73ms)         1\n",
      "[0.433757, 0.425378, 1.54003, 0.86868, 0.866392, -1, 0.0450582, -0.0432529, -0.0524188, -0.0999994, 0.1, 0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.0610716e+03 2.00e-01 7.34e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.0375673e+03 3.75e-02 1.46e+01  -1.0 3.00e-01  -4.0 8.09e-01 6.33e-01f  1\n",
      "   2  2.1411713e+03 0.00e+00 1.09e+01  -1.0 4.54e+00  -4.5 4.37e-01 5.25e-01f  1\n",
      "   3  2.1823340e+03 0.00e+00 4.04e+00  -1.0 1.11e+00  -5.0 1.00e+00 9.90e-01h  1\n",
      "   4  2.2236038e+03 0.00e+00 5.60e+01  -1.0 6.26e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  2.2229189e+03 0.00e+00 7.95e-03  -1.0 3.86e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.1307413e+03 0.00e+00 1.99e+05  -3.8 4.97e-01  -6.4 6.36e-01 1.00e+00f  1\n",
      "   7  2.0163453e+03 0.00e+00 1.10e+05  -3.8 1.10e+00  -6.9 4.50e-01 8.87e-01f  1\n",
      "   8  1.9645238e+03 0.00e+00 5.49e+04  -3.8 3.34e-01  -7.3 4.99e-01 7.51e-01h  1\n",
      "   9  1.9418216e+03 1.69e-05 1.60e+04  -3.8 3.84e-01  -7.8 7.09e-01 4.99e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.9198501e+03 0.00e+00 1.00e+04  -3.8 2.60e-01  -8.3 3.73e-01 6.93e-01h  1\n",
      "  11  1.9113770e+03 0.00e+00 1.30e+03  -3.8 1.45e-01  -8.8 8.70e-01 7.12e-01h  1\n",
      "  12  1.9077325e+03 0.00e+00 3.03e+02  -3.8 9.97e-02  -9.2 7.67e-01 9.49e-01h  1\n",
      "  13  1.9072548e+03 0.00e+00 2.51e-02  -3.8 3.12e-02  -9.7 1.00e+00 1.00e+00h  1\n",
      "  14  1.9072420e+03 0.00e+00 6.00e-03  -3.8 9.11e-03 -10.2 1.00e+00 1.00e+00h  1\n",
      "  15  1.9072420e+03 0.00e+00 1.11e-04  -3.8 1.21e-03 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  1.9061649e+03 9.80e-04 8.81e+02  -5.7 4.00e-02 -11.2 7.13e-01 7.37e-01h  1\n",
      "  17  1.9057466e+03 1.83e-03 4.01e+03  -5.7 5.20e-02 -11.6 5.48e-01 9.34e-01h  1\n",
      "  18  1.9056899e+03 6.04e-04 5.21e+02  -5.7 3.26e-02 -12.1 8.88e-01 1.00e+00h  1\n",
      "  19  1.9056845e+03 0.00e+00 1.53e-03  -5.7 6.98e-03 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.9056843e+03 0.00e+00 1.12e-05  -5.7 6.59e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  1.9056636e+03 1.49e-05 2.94e+01  -8.6 1.30e-02 -13.5 9.00e-01 9.67e-01h  1\n",
      "  22  1.9056629e+03 3.04e-06 6.00e+00  -8.6 3.64e-02 -14.0 7.97e-01 7.98e-01h  1\n",
      "In iteration 22, 1 Slack too small, adjusting variable bound\n",
      "  23  1.9056628e+03 7.42e-07 1.03e-01  -8.6 2.53e-02 -14.5 1.00e+00 9.65e-01f  1\n",
      "  24  1.9056627e+03 0.00e+00 9.96e-08  -8.6 1.27e-02 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  1.9056627e+03 0.00e+00 6.49e-10  -8.6 5.25e-03 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.0436677256698191e+01    1.9056627386636662e+03\n",
      "Dual infeasibility......:   6.4852656578295864e-10    1.1841631977772620e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.0234176954362227e-09    7.3464733992344550e-07\n",
      "Overall NLP error.......:   4.0234176954362227e-09    7.3464733992344550e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.570\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (115.38us)   4.47ms (171.81us)        26\n",
      "       nlp_g  |   8.00ms (307.69us)   4.31ms (165.88us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 972.00us (972.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (444.44us)  13.50ms (499.89us)        27\n",
      "  nlp_hess_l  | 341.00ms ( 13.64ms) 342.73ms ( 13.71ms)        25\n",
      "   nlp_jac_g  | 104.00ms (  3.85ms)  99.33ms (  3.68ms)        27\n",
      "       total  | 571.00ms (571.00ms) 571.39ms (571.39ms)         1\n",
      "[0.624924, 0.59771, 1.72433, 0.956188, 0.95731, -1, 0.0241546, -0.0241537, -0.0315187, -0.0722028, 0.0778662, 0.1]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.7989677e+03 1.25e+00 9.49e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.8222174e+03 7.06e-01 5.98e+00  -1.0 5.03e-01  -4.0 8.43e-01 3.40e-01f  1\n",
      "   2  1.9740308e+03 0.00e+00 8.38e+01  -1.0 3.78e+00  -4.5 3.17e-01 6.23e-01f  1\n",
      "   3  2.0109563e+03 8.98e-04 4.06e+01  -1.0 4.66e-01  -5.0 8.26e-01 5.35e-01f  1\n",
      "   4  2.0814946e+03 0.00e+00 2.76e+00  -1.0 5.08e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  2.0938648e+03 0.00e+00 8.33e+01  -1.0 4.52e-01  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  2.0949819e+03 0.00e+00 1.87e-03  -1.0 3.97e-02  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  1.9983053e+03 0.00e+00 3.45e+05  -5.7 5.86e-01  -6.9 6.05e-01 1.00e+00f  1\n",
      "   8  1.9207452e+03 0.00e+00 1.25e+05  -5.7 6.08e-01  -7.3 6.37e-01 8.12e-01f  1\n",
      "   9  1.8652185e+03 0.00e+00 5.63e+04  -5.7 2.58e-01  -7.8 5.50e-01 9.10e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.8619325e+03 0.00e+00 1.67e+04  -5.7 3.31e-02   0.0 7.04e-01 4.25e-01h  1\n",
      "  11  1.8530660e+03 0.00e+00 7.71e+03  -5.7 8.99e-02  -0.4 5.38e-01 6.32e-01h  1\n",
      "  12  1.8458291e+03 2.03e-04 2.15e+03  -5.7 2.17e-01  -0.9 7.21e-01 5.03e-01h  1\n",
      "  13  1.8413364e+03 4.74e-04 1.58e+03  -5.7 5.36e-01  -1.4 2.67e-01 2.32e-01h  1\n",
      "  14  1.8347395e+03 1.28e-03 9.57e+02  -5.7 1.06e+00  -1.9 3.92e-01 2.08e-01h  1\n",
      "  15  1.8283144e+03 1.89e-03 7.22e+02  -5.7 1.68e+00  -2.4 2.46e-01 1.56e-01h  1\n",
      "  16  1.8217102e+03 1.75e-03 4.04e+02  -5.7 1.89e+00  -2.8 4.40e-01 1.68e-01h  1\n",
      "  17  1.8211355e+03 1.70e-03 1.62e+02  -5.7 9.87e-01  -3.3 5.98e-01 2.97e-02h  1\n",
      "  18  1.8201580e+03 2.05e-02 1.54e+02  -5.7 2.29e-01  -3.8 4.86e-02 4.92e-01h  1\n",
      "  19  1.8199715e+03 1.99e-02 8.35e+01  -5.7 1.67e-01  -4.3 4.60e-01 1.59e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.8195648e+03 6.43e-03 6.07e+01  -5.7 9.01e-02  -4.7 2.73e-01 7.62e-01h  1\n",
      "  21  1.8194817e+03 1.09e-02 2.73e+01  -5.7 1.27e-01  -5.2 5.51e-01 3.89e-01h  1\n",
      "  22  1.8194393e+03 2.40e-03 1.45e+01  -5.7 3.46e-02  -5.7 4.69e-01 7.88e-01h  1\n",
      "  23  1.8194266e+03 6.08e-04 2.38e+00  -5.7 1.22e-02  -6.2 8.35e-01 8.61e-01h  1\n",
      "  24  1.8194256e+03 1.71e-06 3.91e-03  -5.7 6.59e-03  -6.7 1.00e+00 1.00e+00f  1\n",
      "  25  1.8194257e+03 0.00e+00 5.14e-06  -5.7 4.38e-04  -7.1 1.00e+00 1.00e+00h  1\n",
      "  26  1.8194118e+03 0.00e+00 3.10e+01  -8.6 1.58e-02  -7.6 8.86e-01 9.59e-01h  1\n",
      "In iteration 26, 1 Slack too small, adjusting variable bound\n",
      "  27  1.8194113e+03 1.60e-06 3.98e+00  -8.6 3.46e-02  -8.1 8.21e-01 7.31e-01h  1\n",
      "  28  1.8194111e+03 1.10e-06 4.11e-05  -8.6 2.48e-02  -8.6 1.00e+00 1.00e+00h  1\n",
      "  29  1.8194111e+03 0.00e+00 1.51e-07  -8.6 1.11e-02  -9.0 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  1.8194111e+03 0.00e+00 2.33e-10  -8.6 4.87e-03  -9.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 30\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.4554725379530810e+01    1.8194111412933235e+03\n",
      "Dual infeasibility......:   2.3311841346185247e-10    2.9140930359950943e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.3474572414950499e-09    5.4345320404303059e-07\n",
      "Overall NLP error.......:   4.3474572414950499e-09    5.4345320404303059e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 31\n",
      "Number of objective gradient evaluations             = 31\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 31\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 31\n",
      "Number of Lagrangian Hessian evaluations             = 30\n",
      "Total seconds in IPOPT                               = 0.728\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (193.55us)   5.73ms (184.84us)        31\n",
      "       nlp_g  |   6.00ms (193.55us)   5.33ms (171.81us)        31\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 813.00us (813.00us)         1\n",
      "  nlp_grad_f  |  20.00ms (625.00us)  17.29ms (540.19us)        32\n",
      "  nlp_hess_l  | 432.00ms ( 14.40ms) 430.00ms ( 14.33ms)        30\n",
      "   nlp_jac_g  | 120.00ms (  3.75ms) 125.56ms (  3.92ms)        32\n",
      "       total  | 729.00ms (729.00ms) 728.93ms (728.93ms)         1\n",
      "[0.82691, 0.787675, 1.91497, 1, 1, -1, 0.00922193, -0.00906355, -0.0111425, -0.0095365, 0.0110877, 0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.6588146e+03 3.64e+00 2.93e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.6887719e+03 1.98e+00 2.75e+01  -1.0 1.37e+00  -4.0 3.77e-01 4.04e-01f  1\n",
      "   2  1.7065644e+03 1.48e+00 2.23e+01  -1.0 8.44e-01  -4.5 5.71e-01 2.19e-01f  1\n",
      "   3  1.7715478e+03 5.48e-02 1.12e+01  -1.0 1.79e+00  -5.0 5.75e-01 7.35e-01h  1\n",
      "   4  1.8237966e+03 0.00e+00 5.17e+00  -1.0 1.10e+00  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  1.8501125e+03 0.00e+00 7.82e+01  -1.0 4.44e-01  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  1.8542681e+03 0.00e+00 2.52e+05  -1.0 1.24e+00  -1.0 4.06e-01 9.53e-02h  4\n",
      "   7  1.8567637e+03 0.00e+00 6.66e+05  -1.0 1.66e+00  -0.5 5.17e-01 3.53e-02h  4\n",
      "   8  1.8633233e+03 0.00e+00 7.79e+05  -1.0 3.05e-01  -1.0 1.00e+00 5.00e-01h  2\n",
      "   9  1.8657987e+03 0.00e+00 7.77e-01  -1.0 1.56e-01  -1.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.7970290e+03 0.00e+00 1.00e+06  -3.8 5.52e-01  -2.0 5.11e-01 8.15e-01f  1\n",
      "  11  1.7779613e+03 0.00e+00 3.86e+05  -3.8 7.10e-01  -0.6 5.31e-01 3.95e-01f  1\n",
      "  12  1.7523436e+03 0.00e+00 4.10e+05  -3.8 7.07e-01  -1.1 2.74e-01 6.23e-01f  1\n",
      "  13  1.7411565e+03 0.00e+00 2.28e+05  -3.8 1.79e-01  -1.6 5.35e-01 8.00e-01f  1\n",
      "  14  1.7395008e+03 0.00e+00 2.12e+05  -3.8 1.30e-01  -2.1 9.66e-02 3.36e-01h  1\n",
      "  15  1.7370224e+03 0.00e+00 4.11e+04  -3.8 1.10e-01  -2.6 8.04e-01 7.73e-01f  1\n",
      "  16  1.7357575e+03 5.69e-04 1.40e+04  -3.8 7.37e-02  -3.0 6.63e-01 6.91e-01h  1\n",
      "  17  1.7353938e+03 5.46e-04 2.87e+03  -3.8 7.69e-02  -3.5 7.89e-01 7.27e-01h  1\n",
      "  18  1.7352624e+03 0.00e+00 2.38e-01  -3.8 3.94e-02  -4.0 1.00e+00 1.00e+00f  1\n",
      "  19  1.7352557e+03 0.00e+00 1.21e-02  -3.8 1.23e-02  -4.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.7352557e+03 0.00e+00 2.29e-04  -3.8 6.76e-04  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  1.7349916e+03 2.33e-04 4.11e+03  -5.7 2.79e-02  -5.4 7.90e-01 9.09e-01f  1\n",
      "  22  1.7349606e+03 9.02e-05 4.89e+02  -5.7 3.03e-02  -5.9 9.32e-01 1.00e+00h  1\n",
      "  23  1.7349598e+03 0.00e+00 1.74e-04  -5.7 2.75e-02  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  1.7349598e+03 0.00e+00 4.66e-07  -5.7 1.13e-02  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  1.7349566e+03 2.72e-11 9.87e+00  -8.6 1.95e-02  -7.3 8.77e-01 8.54e-01h  1\n",
      "  26  1.7349561e+03 3.30e-06 4.43e+00  -8.6 2.35e-02  -7.8 9.88e-01 9.19e-01h  1\n",
      "  27  1.7349561e+03 9.41e-07 1.22e-04  -8.6 1.29e-02  -8.3 1.00e+00 1.00e+00f  1\n",
      "  28  1.7349561e+03 4.51e-08 1.18e-05  -8.6 5.83e-03  -8.8 1.00e+00 1.00e+00h  1\n",
      "  29  1.7349561e+03 0.00e+00 4.07e-07  -8.6 2.56e-03  -9.2 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  1.7349561e+03 0.00e+00 5.74e-10  -8.6 8.00e-04  -9.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 30\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   5.3038901603578196e+01    1.7349560945214873e+03\n",
      "Dual infeasibility......:   5.7372062656213529e-10    1.8766981734393817e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6735630612395843e-09    8.7454950742649056e-08\n",
      "Overall NLP error.......:   2.6735630612395843e-09    8.7454950742649056e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 44\n",
      "Number of objective gradient evaluations             = 31\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 44\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 31\n",
      "Number of Lagrangian Hessian evaluations             = 30\n",
      "Total seconds in IPOPT                               = 0.795\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (136.36us)   8.17ms (185.70us)        44\n",
      "       nlp_g  |   5.00ms (113.64us)   7.61ms (172.86us)        44\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 809.00us (809.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (437.50us)  16.50ms (515.75us)        32\n",
      "  nlp_hess_l  | 462.00ms ( 15.40ms) 460.00ms ( 15.33ms)        30\n",
      "   nlp_jac_g  | 128.00ms (  4.00ms) 127.98ms (  4.00ms)        32\n",
      "       total  | 797.00ms (797.00ms) 796.18ms (796.18ms)         1\n",
      "[1.03093, 0.98725, 2.1113, 1, 1, -1, 0.00713317, -0.00703043, 0.00887794, -0.0300259, 0.0310319, 0.0999999]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.7530021e+03 1.39e-01 4.91e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.7772401e+03 0.00e+00 5.99e+00  -1.0 2.47e-01  -4.0 8.71e-01 9.01e-01f  1\n",
      "   2  1.8350215e+03 0.00e+00 7.31e+00  -1.0 1.09e+01  -4.5 2.00e-01 1.36e-01f  1\n",
      "   3  1.8910820e+03 0.00e+00 2.10e+00  -1.0 5.00e-01  -5.0 1.00e+00 9.90e-01H  1\n",
      "   4  1.9501155e+03 0.00e+00 1.15e+02  -1.0 4.07e-01  -5.4 1.00e+00 9.90e-01H  1\n",
      "   5  1.9500573e+03 0.00e+00 5.18e-02  -1.0 6.45e-02  -5.9 1.00e+00 1.00e+00H  1\n",
      "   6  1.8644199e+03 0.00e+00 4.62e+05  -5.7 5.24e-01  -6.4 6.08e-01 1.00e+00f  1\n",
      "   7  1.7574447e+03 0.00e+00 1.39e+05  -5.7 1.10e+00  -6.9 6.99e-01 9.96e-01f  1\n",
      "   8  1.7336888e+03 0.00e+00 5.46e+04  -5.7 3.06e-01  -7.3 6.08e-01 2.93e-01h  1\n",
      "   9  1.6693812e+03 1.82e-03 3.25e+04  -5.7 3.29e-01  -7.8 4.05e-01 8.99e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.6603078e+03 5.86e-04 8.07e+03  -5.7 1.55e-01  -8.3 7.52e-01 7.07e-01h  1\n",
      "  11  1.6555723e+03 1.88e-04 2.31e+03  -5.7 1.33e-01  -8.8 7.14e-01 7.39e-01h  1\n",
      "  12  1.6536350e+03 0.00e+00 8.09e+02  -5.7 8.82e-02  -9.2 6.50e-01 7.41e-01h  1\n",
      "  13  1.6532815e+03 0.00e+00 3.18e+02  -5.7 8.90e-02  -9.7 6.07e-01 5.39e-01h  1\n",
      "  14  1.6530608e+03 1.84e-06 1.24e+02  -5.7 4.75e-02 -10.2 6.09e-01 7.52e-01h  1\n",
      "  15  1.6529847e+03 3.43e-04 3.04e+01  -5.7 5.91e-02 -10.7 7.56e-01 9.79e-01h  1\n",
      "  16  1.6529803e+03 0.00e+00 1.42e-04  -5.7 3.33e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.6529795e+03 0.00e+00 3.82e-05  -5.7 1.22e-02 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.6529794e+03 0.00e+00 1.13e-06  -5.7 2.52e-03 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  1.6529596e+03 1.65e-10 2.84e+01  -8.6 1.31e-02 -12.6 9.05e-01 8.81e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.6529570e+03 1.62e-05 1.49e+01  -8.6 3.76e-02 -13.1 7.88e-01 9.37e-01h  1\n",
      "  21  1.6529568e+03 3.19e-06 6.51e-05  -8.6 2.23e-02 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.6529568e+03 8.31e-08 7.42e-06  -8.6 1.17e-02 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.6529568e+03 0.00e+00 8.56e-08  -8.6 4.87e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  1.6529568e+03 0.00e+00 2.78e-10  -8.6 1.27e-03 -15.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   8.0460678392629461e+00    1.6529567891569302e+03\n",
      "Dual infeasibility......:   2.7758950693623774e-10    5.7027043427340896e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.5961986030827828e-09    5.3335420390372142e-07\n",
      "Overall NLP error.......:   2.5961986030827828e-09    5.3335420390372142e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 28\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 28\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.547\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   1.00ms ( 35.71us)   4.66ms (166.43us)        28\n",
      "       nlp_g  |   5.00ms (178.57us)   4.34ms (154.89us)        28\n",
      "    nlp_grad  |        0 (       0) 792.00us (792.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (500.00us)  12.35ms (475.15us)        26\n",
      "  nlp_hess_l  | 327.00ms ( 13.63ms) 324.65ms ( 13.53ms)        24\n",
      "   nlp_jac_g  |  97.00ms (  3.73ms)  96.12ms (  3.70ms)        26\n",
      "       total  | 548.00ms (548.00ms) 548.26ms (548.26ms)         1\n",
      "[1.23053, 1.19045, 2.30845, 1, 1, -1, 0.000987073, -0.000966712, 0.0289222, -0.0292281, 0.0294257, 0.0389092]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.5706980e+03 1.24e-01 5.38e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.5979349e+03 0.00e+00 2.84e+00  -1.0 2.33e-01  -4.0 3.65e-01 5.18e-01f  1\n",
      "   2  1.6453674e+03 0.00e+00 3.10e+00  -1.0 1.80e-01  -4.5 9.84e-01 8.21e-01f  1\n",
      "   3  1.8074225e+03 0.00e+00 5.15e+01  -1.0 6.85e-01  -5.0 5.45e-01 9.90e-01f  1\n",
      "   4  1.8114276e+03 0.00e+00 1.13e+02  -1.0 1.24e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  1.8135475e+03 0.00e+00 7.18e-03  -1.0 5.26e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.7174824e+03 0.00e+00 4.42e+05  -5.7 9.13e-01  -6.4 6.22e-01 1.00e+00f  1\n",
      "   7  1.6668209e+03 0.00e+00 1.42e+05  -5.7 2.68e-01  -6.9 6.78e-01 6.31e-01f  1\n",
      "   8  1.5915640e+03 1.01e-03 6.97e+04  -5.7 3.14e-01  -7.3 5.10e-01 9.98e-01f  1\n",
      "   9  1.5822495e+03 9.88e-04 1.43e+04  -5.7 1.65e-01  -7.8 7.95e-01 6.80e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.5761841e+03 5.10e-04 3.92e+03  -5.7 1.55e-01  -8.3 7.26e-01 7.65e-01h  1\n",
      "  11  1.5740237e+03 1.81e-04 1.56e+03  -5.7 1.00e-01  -8.8 6.02e-01 7.42e-01h  1\n",
      "  12  1.5736426e+03 5.46e-05 5.81e+02  -5.7 7.59e-02  -9.2 6.28e-01 4.85e-01h  1\n",
      "  13  1.5733698e+03 2.23e-06 1.87e+02  -5.7 5.43e-02  -9.7 6.79e-01 7.25e-01h  1\n",
      "  14  1.5732757e+03 4.21e-04 3.48e+01  -5.7 7.38e-02 -10.2 8.13e-01 9.47e-01h  1\n",
      "  15  1.5732670e+03 0.00e+00 1.14e-03  -5.7 1.97e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  1.5732668e+03 0.00e+00 1.48e-05  -5.7 9.54e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.5732530e+03 6.73e-07 8.60e+01  -8.6 1.54e-02 -11.6 8.88e-01 9.61e-01h  1\n",
      "  18  1.5732524e+03 3.46e-06 2.02e+01  -8.6 3.49e-02 -12.1 8.17e-01 9.12e-01h  1\n",
      "  19  1.5732523e+03 9.82e-07 3.23e-05  -8.6 2.03e-02 -12.6 1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.5732523e+03 1.93e-08 6.01e-06  -8.6 1.05e-02 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  1.5732523e+03 0.00e+00 6.29e-07  -8.6 4.48e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.5732523e+03 0.00e+00 1.25e-08  -8.6 1.29e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.5732523e+03 0.00e+00 5.79e-07  -9.0 2.06e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  1.5732523e+03 0.00e+00 2.58e-08  -9.0 5.13e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  1.5732523e+03 0.00e+00 5.45e-11  -9.0 3.38e-05 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1947205666018730e+01    1.5732523269802766e+03\n",
      "Dual infeasibility......:   5.4452442554975278e-11    7.1704994752904742e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.0916113808032297e-10    1.1972170866307260e-07\n",
      "Overall NLP error.......:   9.0916113808032297e-10    1.1972170866307260e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.588\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (192.31us)   4.70ms (180.58us)        26\n",
      "       nlp_g  |   4.00ms (153.85us)   4.28ms (164.62us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 899.00us (899.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (444.44us)  12.77ms (473.07us)        27\n",
      "  nlp_hess_l  | 354.00ms ( 14.16ms) 351.26ms ( 14.05ms)        25\n",
      "   nlp_jac_g  | 100.00ms (  3.70ms) 101.02ms (  3.74ms)        27\n",
      "       total  | 590.00ms (590.00ms) 589.39ms (589.39ms)         1\n",
      "[1.42485, 1.39635, 2.50806, 1, 1, -1, -0.00486607, 0.00491075, 0.0367098, 0.00373096, -0.00329219, -0.0514665]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.4302404e+03 2.50e+00 2.06e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.5463575e+03 1.53e-01 7.92e+01  -1.0 9.89e-01  -4.0 1.47e-01 9.90e-01f  1\n",
      "   2  1.5711836e+03 0.00e+00 9.89e+00  -1.0 2.89e-01  -4.5 1.00e+00 9.90e-01h  1\n",
      "   3  1.6121439e+03 0.00e+00 7.14e+02  -1.0 7.25e-01  -5.0 1.00e+00 9.93e-01h  1\n",
      "   4  1.6132377e+03 0.00e+00 4.37e-02  -1.0 1.33e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  1.5490158e+03 0.00e+00 1.74e+06  -5.7 2.76e-01  -5.9 7.02e-01 8.74e-01f  1\n",
      "   6  1.5099980e+03 1.51e-04 1.21e+06  -5.7 2.37e-01  -6.4 5.62e-01 9.18e-01f  1\n",
      "   7  1.5016648e+03 1.04e-04 2.56e+05  -5.7 1.42e-01  -6.9 7.86e-01 7.54e-01h  1\n",
      "   8  1.4978067e+03 5.95e-05 9.17e+04  -5.7 1.21e-01  -7.3 6.52e-01 7.61e-01h  1\n",
      "   9  1.4965590e+03 1.29e-05 3.05e+04  -5.7 7.26e-02  -7.8 6.66e-01 6.45e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.4962234e+03 0.00e+00 1.26e+04  -5.7 9.44e-02  -8.3 5.82e-01 5.46e-01h  1\n",
      "  11  1.4960366e+03 1.26e-06 4.54e+03  -5.7 3.43e-02  -8.8 6.46e-01 7.15e-01h  1\n",
      "  12  1.4959634e+03 2.96e-04 9.91e+02  -5.7 7.25e-02  -9.2 7.91e-01 9.42e-01h  1\n",
      "  13  1.4959554e+03 1.67e-05 4.93e+01  -5.7 1.19e-02  -9.7 9.50e-01 9.40e-01h  1\n",
      "  14  1.4959547e+03 0.00e+00 1.16e-04  -5.7 2.61e-02 -10.2 1.00e+00 1.00e+00f  1\n",
      "  15  1.4959546e+03 0.00e+00 4.25e-06  -5.7 2.53e-03 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  1.4959506e+03 0.00e+00 6.51e+01  -8.6 1.96e-02 -11.2 8.76e-01 9.78e-01h  1\n",
      "In iteration 16, 1 Slack too small, adjusting variable bound\n",
      "  17  1.4959506e+03 2.86e-07 2.52e+00  -8.6 2.30e-02 -11.6 1.00e+00 8.22e-01h  1\n",
      "  18  1.4959505e+03 1.35e-07 1.63e-05  -8.6 1.50e-02 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  1.4959505e+03 0.00e+00 5.06e-08  -8.6 6.18e-03 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.4959505e+03 0.00e+00 1.15e-11  -8.6 2.71e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 20\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.0350129660428571e+01    1.4959505323283577e+03\n",
      "Dual infeasibility......:   1.1453948900452815e-11    4.2464649058359940e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.1642251284772013e-09    1.5438549640621965e-07\n",
      "Overall NLP error.......:   4.1642251284772013e-09    1.5438549640621965e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 21\n",
      "Number of objective gradient evaluations             = 21\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 21\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 21\n",
      "Number of Lagrangian Hessian evaluations             = 20\n",
      "Total seconds in IPOPT                               = 0.720\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (333.33us)   5.40ms (257.19us)        21\n",
      "       nlp_g  |   4.00ms (190.48us)   4.86ms (231.43us)        21\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 990.00us (990.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (863.64us)  15.91ms (723.27us)        22\n",
      "  nlp_hess_l  | 443.00ms ( 22.15ms) 442.73ms ( 22.14ms)        20\n",
      "   nlp_jac_g  | 119.00ms (  5.41ms) 121.48ms (  5.52ms)        22\n",
      "       total  | 723.00ms (723.00ms) 722.40ms (722.40ms)         1\n",
      "[1.61642, 1.60255, 2.71001, 1, 1, -1, -0.00417041, 0.00420222, 0.0264197, 0.008007, -0.00769439, -0.0489181]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.4066972e+03 3.14e-01 7.17e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.4458427e+03 0.00e+00 5.06e+00  -1.0 2.36e-01  -4.0 2.80e-01 6.13e-01f  1\n",
      "   2  1.4933294e+03 0.00e+00 1.37e+00  -1.0 1.83e-01  -4.5 1.00e+00 9.90e-01f  1\n",
      "   3  1.6414631e+03 0.00e+00 2.57e+02  -1.0 9.07e-01  -5.0 8.91e-01 9.90e-01f  1\n",
      "   4  1.6355621e+03 0.00e+00 1.08e+03  -1.0 2.24e-01  -5.4 1.00e+00 9.96e-01h  1\n",
      "   5  1.6349226e+03 0.00e+00 2.88e-03  -1.0 4.34e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.5433953e+03 0.00e+00 1.01e+07  -5.7 9.35e-01  -6.4 6.13e-01 1.00e+00f  1\n",
      "   7  1.5057695e+03 0.00e+00 2.96e+06  -5.7 2.51e-01  -6.9 7.05e-01 5.32e-01h  1\n",
      "   8  1.4368434e+03 8.05e-04 1.82e+06  -5.7 3.22e-01  -7.3 3.86e-01 9.75e-01f  1\n",
      "   9  1.4292932e+03 7.67e-04 3.72e+05  -5.7 1.52e-01  -7.8 7.96e-01 6.60e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.4259668e+03 4.06e-04 1.03e+05  -5.7 1.47e-01  -8.3 7.23e-01 4.75e-01h  1\n",
      "  11  1.4222276e+03 1.61e-04 4.62e+04  -5.7 1.34e-01  -8.8 5.53e-01 7.94e-01h  1\n",
      "  12  1.4217022e+03 6.58e-05 1.70e+04  -5.7 7.31e-02  -9.2 6.32e-01 5.17e-01h  1\n",
      "  13  1.4213345e+03 3.17e-06 3.68e+03  -5.7 5.29e-02  -9.7 7.83e-01 7.50e-01h  1\n",
      "  14  1.4212309e+03 2.18e-04 7.51e+02  -5.7 6.95e-02 -10.2 7.96e-01 9.09e-01h  1\n",
      "  15  1.4212160e+03 0.00e+00 7.69e+00  -5.7 3.47e-02 -10.7 9.90e-01 1.00e+00h  1\n",
      "  16  1.4212148e+03 0.00e+00 2.26e-05  -5.7 1.02e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.4212148e+03 0.00e+00 3.24e-07  -5.7 5.23e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.4212035e+03 0.00e+00 3.14e+01  -8.6 1.67e-02 -12.1 8.82e-01 9.21e-01h  1\n",
      "  19  1.4212025e+03 9.99e-07 1.57e+01  -8.6 3.41e-02 -12.6 8.30e-01 9.91e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.4212024e+03 0.00e+00 2.64e-07  -8.6 1.74e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  1.4212024e+03 0.00e+00 1.81e-08  -8.6 9.54e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.4212024e+03 0.00e+00 6.63e-08  -9.0 4.99e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.4212024e+03 0.00e+00 4.14e-08  -9.0 2.07e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  1.4212024e+03 0.00e+00 7.37e-11  -9.0 5.24e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.2900838763511739e+01    1.4212024192808756e+03\n",
      "Dual infeasibility......:   7.3654859988891985e-11    8.1140821249604484e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.3322272443089731e-10    1.0280714440369064e-07\n",
      "Overall NLP error.......:   9.3322272443089731e-10    1.0280714440369064e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.591\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (160.00us)   4.98ms (199.04us)        25\n",
      "       nlp_g  |   5.00ms (200.00us)   4.33ms (173.28us)        25\n",
      "    nlp_grad  |        0 (       0) 753.00us (753.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (538.46us)  13.55ms (521.31us)        26\n",
      "  nlp_hess_l  | 354.00ms ( 14.75ms) 356.20ms ( 14.84ms)        24\n",
      "   nlp_jac_g  | 104.00ms (  4.00ms) 103.49ms (  3.98ms)        26\n",
      "       total  | 592.00ms (592.00ms) 592.61ms (592.61ms)         1\n",
      "[1.81024, 1.8069, 2.91168, 1, 1, -1, -0.0026101, 0.00262254, 0.0166425, 0.00590989, -0.0057882, -0.0315152]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.3557688e+03 2.88e-02 6.83e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.3772359e+03 0.00e+00 2.25e+00  -1.0 2.37e-01  -4.0 3.81e-01 4.77e-01f  1\n",
      "   2  1.4240833e+03 0.00e+00 3.15e+00  -1.0 1.75e-01  -4.5 1.00e+00 9.90e-01f  1\n",
      "   3  1.5789594e+03 0.00e+00 1.90e+01  -1.0 1.06e+00  -5.0 1.00e+00 9.90e-01f  1\n",
      "   4  1.5696968e+03 0.00e+00 1.09e+03  -1.0 2.63e-01  -5.4 1.00e+00 9.94e-01h  1\n",
      "   5  1.5700079e+03 0.00e+00 4.14e-03  -1.0 9.42e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.4827833e+03 0.00e+00 7.83e+06  -5.7 8.72e-01  -6.4 5.93e-01 1.00e+00f  1\n",
      "   7  1.4390640e+03 0.00e+00 3.26e+06  -5.7 6.53e-01  -6.9 5.83e-01 5.59e-01f  1\n",
      "   8  1.3755847e+03 0.00e+00 1.09e+06  -5.7 2.82e-01  -7.3 6.65e-01 1.00e+00f  1\n",
      "   9  1.3602740e+03 0.00e+00 1.50e+05  -5.7 1.94e-01  -7.8 8.63e-01 6.88e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.3516890e+03 1.48e-09 5.86e+04  -5.7 1.76e-01  -8.3 6.09e-01 8.20e-01h  1\n",
      "  11  1.3496579e+03 0.00e+00 2.11e+04  -5.7 8.65e-02  -8.8 6.39e-01 7.24e-01h  1\n",
      "  12  1.3492191e+03 0.00e+00 8.04e+03  -5.7 8.22e-02  -9.2 6.20e-01 5.58e-01h  1\n",
      "  13  1.3489687e+03 2.10e-06 1.53e+03  -5.7 4.23e-02  -9.7 8.10e-01 7.35e-01h  1\n",
      "  14  1.3488893e+03 1.94e-04 2.86e+02  -5.7 6.41e-02 -10.2 8.13e-01 9.50e-01h  1\n",
      "  15  1.3488814e+03 0.00e+00 6.44e-04  -5.7 3.20e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  1.3488805e+03 0.00e+00 7.12e-05  -5.7 9.91e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.3488804e+03 0.00e+00 1.95e-06  -5.7 1.83e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.3488668e+03 9.56e-06 8.09e+01  -8.6 1.59e-02 -12.1 8.86e-01 9.85e-01h  1\n",
      "  19  1.3488665e+03 2.04e-06 1.58e+01  -8.6 3.43e-02 -12.6 8.23e-01 9.46e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.3488665e+03 2.59e-07 1.57e-06  -8.6 1.91e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  1.3488665e+03 0.00e+00 5.01e-07  -8.6 1.01e-02 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.3488665e+03 0.00e+00 8.95e-08  -8.6 4.30e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.3488665e+03 0.00e+00 6.68e-09  -8.6 1.23e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 23\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.0910067713518542e+01    1.3488664565686836e+03\n",
      "Dual infeasibility......:   6.6764016537490534e-09    8.2543706215160137e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6334696727767092e-09    3.2558907967160653e-07\n",
      "Overall NLP error.......:   6.6764016537490534e-09    8.2543706215160137e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 24\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 24\n",
      "Number of Lagrangian Hessian evaluations             = 23\n",
      "Total seconds in IPOPT                               = 0.533\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (125.00us)   4.14ms (172.42us)        24\n",
      "       nlp_g  |   1.00ms ( 41.67us)   3.94ms (164.37us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 752.00us (752.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (520.00us)  12.97ms (518.64us)        25\n",
      "  nlp_hess_l  | 318.00ms ( 13.83ms) 317.58ms ( 13.81ms)        23\n",
      "   nlp_jac_g  |  97.00ms (  3.88ms)  96.41ms (  3.86ms)        25\n",
      "       total  | 534.00ms (534.00ms) 533.91ms (533.91ms)         1\n",
      "[2.00637, 2.00967, 3.11273, 1, 1, -1, -0.00144464, 0.00144845, 0.0103425, 0.00358969, -0.00355249, -0.0177616]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.2863956e+03 3.26e-02 6.82e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.3052387e+03 0.00e+00 1.89e+00  -1.0 2.34e-01  -4.0 4.13e-01 4.40e-01f  1\n",
      "   2  1.3521904e+03 0.00e+00 3.82e+00  -1.0 1.83e-01  -4.5 1.00e+00 9.90e-01f  1\n",
      "   3  1.4999918e+03 0.00e+00 1.21e+01  -1.0 1.11e+00  -5.0 9.97e-01 9.90e-01f  1\n",
      "   4  1.4908432e+03 0.00e+00 8.31e+02  -1.0 2.86e-01  -5.4 1.00e+00 9.95e-01h  1\n",
      "   5  1.4916067e+03 0.00e+00 9.59e-03  -1.0 9.93e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.4075161e+03 0.00e+00 7.34e+06  -5.7 8.53e-01  -6.4 5.91e-01 1.00e+00f  1\n",
      "   7  1.3636826e+03 0.00e+00 3.22e+06  -5.7 7.35e-01  -6.9 5.62e-01 5.75e-01f  1\n",
      "   8  1.3055993e+03 0.00e+00 1.05e+06  -5.7 2.70e-01  -7.3 6.73e-01 1.00e+00f  1\n",
      "   9  1.2880535e+03 0.00e+00 8.11e+05  -5.7 1.92e-01  -7.8 2.29e-01 8.01e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.2839763e+03 0.00e+00 1.38e+05  -5.7 1.09e-01  -8.3 8.30e-01 6.46e-01h  1\n",
      "  11  1.2805445e+03 0.00e+00 5.12e+04  -5.7 1.19e-01  -8.8 6.29e-01 7.71e-01h  1\n",
      "  12  1.2795053e+03 0.00e+00 1.71e+04  -5.7 6.63e-02  -9.2 6.65e-01 6.14e-01h  1\n",
      "  13  1.2791722e+03 0.00e+00 6.82e+03  -5.7 9.08e-02  -9.7 6.02e-01 5.69e-01h  1\n",
      "  14  1.2789907e+03 1.71e-06 1.12e+03  -5.7 3.88e-02 -10.2 8.36e-01 7.43e-01h  1\n",
      "  15  1.2789295e+03 7.91e-05 3.25e+02  -5.7 3.81e-02 -10.7 7.10e-01 1.00e+00h  1\n",
      "  16  1.2789267e+03 0.00e+00 3.91e-04  -5.7 2.34e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.2789263e+03 0.00e+00 2.81e-05  -5.7 6.14e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.2789263e+03 0.00e+00 3.11e-07  -5.7 6.04e-04 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  1.2789135e+03 9.06e-06 5.89e+01  -8.6 1.62e-02 -12.6 8.84e-01 9.81e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.2789131e+03 1.95e-06 1.21e+01  -8.6 3.41e-02 -13.1 8.27e-01 9.89e-01h  1\n",
      "  21  1.2789131e+03 1.64e-07 1.67e-06  -8.6 1.78e-02 -13.5 1.00e+00 1.00e+00f  1\n",
      "  22  1.2789131e+03 0.00e+00 2.26e-07  -8.6 9.73e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.2789131e+03 0.00e+00 1.36e-08  -8.6 4.14e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  1.2789131e+03 0.00e+00 3.08e-08  -9.0 2.70e-03 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  1.2789131e+03 0.00e+00 6.52e-10  -9.0 8.34e-04 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.0785525727399010e+01    1.2789130629471949e+03\n",
      "Dual infeasibility......:   6.5206506860704394e-10    7.7319785350344283e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6086261984329954e-10    1.1393600898781656e-07\n",
      "Overall NLP error.......:   9.6086261984329954e-10    1.1393600898781656e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.577\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (115.38us)   4.95ms (190.31us)        26\n",
      "       nlp_g  |   5.00ms (192.31us)   4.28ms (164.46us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 779.00us (779.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (555.56us)  13.61ms (504.00us)        27\n",
      "  nlp_hess_l  | 342.00ms ( 13.68ms) 341.22ms ( 13.65ms)        25\n",
      "   nlp_jac_g  | 101.00ms (  3.74ms) 101.70ms (  3.77ms)        27\n",
      "       total  | 578.00ms (578.00ms) 578.04ms (578.04ms)         1\n",
      "[2.204, 2.21144, 3.31331, 1, 1, -1, -0.000731847, 0.000732819, 0.00679123, 0.00186079, -0.00185125, -0.00904024]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.2166501e+03 2.51e-02 6.88e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.2342249e+03 0.00e+00 1.83e+00  -1.0 2.33e-01  -4.0 4.24e-01 4.26e-01f  1\n",
      "   2  1.2802346e+03 0.00e+00 4.08e+00  -1.0 1.85e-01  -4.5 1.00e+00 9.90e-01f  1\n",
      "   3  1.4221996e+03 0.00e+00 4.62e+01  -1.0 1.10e+00  -5.0 9.64e-01 9.90e-01f  1\n",
      "   4  1.4125488e+03 0.00e+00 8.22e+02  -1.0 2.77e-01  -5.4 1.00e+00 9.95e-01h  1\n",
      "   5  1.4132912e+03 0.00e+00 1.27e-02  -1.0 1.01e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.3320812e+03 0.00e+00 7.14e+06  -5.7 8.52e-01  -6.4 5.92e-01 1.00e+00f  1\n",
      "   7  1.2910105e+03 0.00e+00 3.21e+06  -5.7 7.42e-01  -6.9 5.50e-01 5.64e-01f  1\n",
      "   8  1.2367578e+03 0.00e+00 1.05e+06  -5.7 2.65e-01  -7.3 6.75e-01 1.00e+00f  1\n",
      "   9  1.2199999e+03 0.00e+00 8.10e+05  -5.7 1.87e-01  -7.8 2.26e-01 8.07e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.2161868e+03 0.00e+00 1.37e+05  -5.7 1.07e-01  -8.3 8.30e-01 6.46e-01h  1\n",
      "  11  1.2128995e+03 0.00e+00 5.19e+04  -5.7 1.16e-01  -8.8 6.22e-01 7.73e-01h  1\n",
      "  12  1.2119307e+03 0.00e+00 1.73e+04  -5.7 6.43e-02  -9.2 6.67e-01 5.98e-01h  1\n",
      "  13  1.2115961e+03 0.00e+00 6.86e+03  -5.7 9.04e-02  -9.7 6.03e-01 5.74e-01h  1\n",
      "  14  1.2114137e+03 3.73e-05 1.31e+03  -5.7 4.36e-02 -10.2 8.10e-01 7.47e-01h  1\n",
      "  15  1.2113541e+03 2.73e-05 1.13e+02  -5.7 2.72e-02 -10.7 9.14e-01 1.00e+00h  1\n",
      "  16  1.2113519e+03 0.00e+00 1.95e-04  -5.7 1.35e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.2113517e+03 0.00e+00 4.06e-06  -5.7 3.01e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.2113397e+03 8.47e-06 6.31e+01  -8.6 1.66e-02 -12.1 8.83e-01 9.87e-01h  1\n",
      "  19  1.2113394e+03 1.78e-06 1.18e+01  -8.6 3.36e-02 -12.6 8.33e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.2113394e+03 1.94e-07 9.28e-07  -8.6 1.71e-02 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  1.2113394e+03 0.00e+00 2.32e-07  -8.6 9.45e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.2113394e+03 0.00e+00 2.18e-08  -8.6 4.02e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  1.2113394e+03 0.00e+00 2.21e-08  -9.0 2.62e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  1.2113394e+03 0.00e+00 1.69e-09  -9.0 8.10e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.0897648726576612e+01    1.2113393921775532e+03\n",
      "Dual infeasibility......:   1.6913332956391969e-09    1.8800189818128283e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6068449456032280e-10    1.0678587656042671e-07\n",
      "Overall NLP error.......:   1.6913332956391969e-09    1.8800189818128283e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.548\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (200.00us)   4.55ms (182.20us)        25\n",
      "       nlp_g  |   4.00ms (160.00us)   4.10ms (164.08us)        25\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 768.00us (768.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (500.00us)  12.61ms (484.96us)        26\n",
      "  nlp_hess_l  | 325.00ms ( 13.54ms) 327.59ms ( 13.65ms)        24\n",
      "   nlp_jac_g  |  95.00ms (  3.65ms)  98.87ms (  3.80ms)        26\n",
      "       total  | 550.00ms (550.00ms) 549.74ms (549.74ms)         1\n",
      "[2.4025, 2.41265, 3.5136, 1, 1, -1, -0.000361013, 0.000361245, 0.00498345, 0.000892764, -0.000890418, -0.0044343]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.1489504e+03 1.46e-02 6.99e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.1658034e+03 0.00e+00 1.90e+00  -1.0 2.34e-01  -4.0 4.24e-01 4.23e-01f  1\n",
      "   2  1.2101052e+03 0.00e+00 4.06e+00  -1.0 1.84e-01  -4.5 9.95e-01 9.90e-01f  1\n",
      "   3  1.3440509e+03 0.00e+00 4.42e+02  -1.0 1.03e+00  -5.0 7.35e-01 9.90e-01f  1\n",
      "   4  1.3352667e+03 0.00e+00 8.22e+02  -1.0 2.13e-01  -5.4 1.00e+00 9.95e-01h  1\n",
      "   5  1.3365210e+03 0.00e+00 1.05e-02  -1.0 8.54e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.2581908e+03 0.00e+00 7.04e+06  -5.7 8.59e-01  -6.4 5.96e-01 1.00e+00f  1\n",
      "   7  1.2213601e+03 0.00e+00 3.21e+06  -5.7 7.15e-01  -6.9 5.45e-01 5.35e-01f  1\n",
      "   8  1.1698829e+03 0.00e+00 1.05e+06  -5.7 2.64e-01  -7.3 6.73e-01 1.00e+00f  1\n",
      "   9  1.1568172e+03 0.00e+00 1.56e+05  -5.7 1.81e-01  -7.8 8.51e-01 6.69e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.1486526e+03 0.00e+00 6.24e+04  -5.7 1.73e-01  -8.3 6.00e-01 8.46e-01h  1\n",
      "  11  1.1469530e+03 0.00e+00 2.32e+04  -5.7 8.31e-02  -8.8 6.29e-01 6.82e-01h  1\n",
      "  12  1.1465167e+03 0.00e+00 8.78e+03  -5.7 7.91e-02  -9.2 6.21e-01 5.52e-01h  1\n",
      "  13  1.1462468e+03 3.36e-06 2.46e+03  -5.7 5.45e-02  -9.7 7.19e-01 7.54e-01h  1\n",
      "  14  1.1461729e+03 6.08e-05 6.18e+01  -5.7 2.49e-02 -10.2 9.75e-01 8.73e-01h  1\n",
      "  15  1.1461604e+03 0.00e+00 1.30e-04  -5.7 1.84e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  1.1461601e+03 0.00e+00 1.71e-05  -5.7 4.23e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.1461489e+03 8.81e-06 6.18e+01  -8.6 1.71e-02 -11.6 8.81e-01 9.83e-01h  1\n",
      "  18  1.1461487e+03 1.86e-06 1.15e+01  -8.6 3.31e-02 -12.1 8.41e-01 1.00e+00h  1\n",
      "  19  1.1461486e+03 7.18e-08 1.85e-06  -8.6 1.67e-02 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.1461486e+03 0.00e+00 9.24e-08  -8.6 9.20e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  1.1461486e+03 0.00e+00 2.39e-10  -8.6 3.92e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1107040222306683e+01    1.1461486419381351e+03\n",
      "Dual infeasibility......:   2.3928237169457134e-10    2.4691831475200399e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.8957108608742655e-09    4.0200301999513144e-07\n",
      "Overall NLP error.......:   3.8957108608742655e-09    4.0200301999513144e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 22\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 22\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.492\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (318.18us)   4.16ms (188.91us)        22\n",
      "       nlp_g  |   3.00ms (136.36us)   3.82ms (173.77us)        22\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 811.00us (811.00us)         1\n",
      "  nlp_grad_f  |  10.00ms (434.78us)  11.76ms (511.43us)        23\n",
      "  nlp_hess_l  | 289.00ms ( 13.76ms) 291.44ms ( 13.88ms)        21\n",
      "   nlp_jac_g  |  87.00ms (  3.78ms)  86.55ms (  3.76ms)        23\n",
      "       total  | 493.00ms (493.00ms) 493.34ms (493.34ms)         1\n",
      "[2.60142, 2.61357, 3.71374, 1, 1, -1, -0.000182781, 0.000182842, 0.00409666, 0.000418573, -0.000417964, -0.00221162]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.0846353e+03 7.37e-03 7.14e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.1008586e+03 0.00e+00 2.00e+00  -1.0 2.34e-01  -4.0 4.23e-01 4.23e-01f  1\n",
      "   2  1.1432079e+03 0.00e+00 3.84e+00  -1.0 1.83e-01  -4.5 9.09e-01 9.90e-01f  1\n",
      "   3  1.2415287e+03 0.00e+00 5.85e+02  -1.0 7.15e-01  -5.0 6.52e-01 9.90e-01f  1\n",
      "   4  1.2624589e+03 0.00e+00 8.22e+02  -1.0 3.21e-01  -5.4 1.00e+00 9.95e-01h  1\n",
      "   5  1.2626153e+03 0.00e+00 5.34e-02  -1.0 7.42e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  1.1873152e+03 0.00e+00 6.98e+06  -5.7 8.65e-01  -6.4 5.99e-01 1.00e+00f  1\n",
      "   7  1.1540704e+03 0.00e+00 3.18e+06  -5.7 6.80e-01  -6.9 5.44e-01 5.13e-01f  1\n",
      "   8  1.1052821e+03 0.00e+00 1.06e+06  -5.7 2.63e-01  -7.3 6.67e-01 1.00e+00f  1\n",
      "   9  1.0936696e+03 0.00e+00 1.46e+05  -5.7 1.74e-01  -7.8 8.62e-01 6.49e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.0857149e+03 0.00e+00 6.34e+04  -5.7 1.74e-01  -8.3 5.67e-01 8.45e-01h  1\n",
      "  11  1.0841762e+03 0.00e+00 2.26e+04  -5.7 7.52e-02  -8.8 6.44e-01 6.49e-01h  1\n",
      "  12  1.0837153e+03 0.00e+00 8.54e+03  -5.7 7.98e-02  -9.2 6.22e-01 5.66e-01h  1\n",
      "  13  1.0834436e+03 3.67e-06 2.56e+03  -5.7 5.68e-02  -9.7 7.00e-01 7.61e-01h  1\n",
      "  14  1.0833714e+03 5.40e-05 1.98e+02  -5.7 2.92e-02 -10.2 9.23e-01 8.59e-01h  1\n",
      "  15  1.0833578e+03 0.00e+00 2.04e-04  -5.7 1.82e-02 -10.7 1.00e+00 1.00e+00f  1\n",
      "  16  1.0833571e+03 0.00e+00 2.44e-05  -5.7 5.95e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.0833570e+03 0.00e+00 2.40e-07  -5.7 7.67e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.0833465e+03 9.00e-06 6.05e+01  -8.6 1.75e-02 -12.1 8.79e-01 9.79e-01h  1\n",
      "  19  1.0833462e+03 1.87e-06 1.09e+01  -8.6 3.25e-02 -12.6 8.50e-01 9.90e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.0833461e+03 6.00e-08 1.24e-06  -8.6 1.66e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  1.0833461e+03 0.00e+00 9.47e-08  -8.6 8.99e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.0833461e+03 0.00e+00 4.38e-10  -8.6 3.85e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1294128907906700e+01    1.0833461294827769e+03\n",
      "Dual infeasibility......:   4.3840486796398181e-10    4.2052310605618510e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9354967737799335e-09    3.7749747964021265e-07\n",
      "Overall NLP error.......:   3.9354967737799335e-09    3.7749747964021265e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.540\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   1.00ms ( 43.48us)   4.24ms (184.17us)        23\n",
      "       nlp_g  |   9.00ms (391.30us)   4.12ms (179.00us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 850.00us (850.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (500.00us)  12.32ms (513.50us)        24\n",
      "  nlp_hess_l  | 311.00ms ( 14.14ms) 308.93ms ( 14.04ms)        22\n",
      "   nlp_jac_g  |  96.00ms (  4.00ms)  94.29ms (  3.93ms)        24\n",
      "       total  | 542.00ms (542.00ms) 541.69ms (541.69ms)         1\n",
      "[2.80057, 2.81435, 3.91382, 1, 1, -1, -9.91468e-05, 9.91679e-05, 0.00365435, 0.000205782, -0.000205618, -0.00117842]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.0234783e+03 3.33e-03 7.32e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.0391165e+03 0.00e+00 2.09e+00  -1.0 2.35e-01  -4.0 4.22e-01 4.23e-01f  1\n",
      "   2  1.0794711e+03 0.00e+00 3.61e+00  -1.0 1.82e-01  -4.5 8.90e-01 9.90e-01f  1\n",
      "   3  1.1673812e+03 0.00e+00 5.83e+02  -1.0 6.49e-01  -5.0 6.53e-01 9.90e-01f  1\n",
      "   4  1.1921696e+03 0.00e+00 3.55e+00  -1.0 4.01e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  1.1230004e+03 0.00e+00 6.29e+04  -2.5 8.28e-01  -5.9 6.06e-01 1.00e+00f  1\n",
      "   6  1.0839243e+03 0.00e+00 2.91e+04  -2.5 6.50e-01  -6.4 5.37e-01 6.82e-01f  1\n",
      "   7  1.0490236e+03 0.00e+00 7.52e+03  -2.5 2.08e-01  -6.9 7.41e-01 1.00e+00f  1\n",
      "   8  1.0364148e+03 0.00e+00 5.29e-01  -2.5 1.19e-01  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  1.0264097e+03 0.00e+00 4.04e+04  -3.8 1.42e-01  -7.8 8.20e-01 9.48e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.0241935e+03 0.00e+00 1.02e+04  -3.8 1.11e-01  -8.3 7.82e-01 8.65e-01h  1\n",
      "  11  1.0237478e+03 0.00e+00 2.88e-02  -3.8 4.65e-02  -8.8 1.00e+00 1.00e+00h  1\n",
      "  12  1.0237253e+03 0.00e+00 2.59e-04  -3.8 1.47e-02  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  1.0231171e+03 0.00e+00 6.69e+01  -5.7 3.34e-02  -9.7 8.04e-01 8.00e-01h  1\n",
      "  14  1.0229863e+03 5.09e-05 5.34e+02  -5.7 3.51e-02 -10.2 9.25e-01 7.74e-01h  1\n",
      "  15  1.0229462e+03 9.20e-06 3.17e-04  -5.7 2.28e-02 -10.7 1.00e+00 1.00e+00f  1\n",
      "  16  1.0229456e+03 0.00e+00 8.93e-05  -5.7 1.07e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  1.0229456e+03 0.00e+00 4.72e-06  -5.7 1.49e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  1.0229360e+03 9.95e-06 2.09e+01  -8.6 1.79e-02 -12.1 8.78e-01 9.74e-01h  1\n",
      "  19  1.0229357e+03 2.42e-06 3.62e+00  -8.6 3.20e-02 -12.6 8.61e-01 9.86e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  1.0229356e+03 9.90e-08 1.65e-06  -8.6 1.63e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  1.0229356e+03 0.00e+00 9.78e-08  -8.6 8.74e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  1.0229356e+03 0.00e+00 3.36e-10  -8.6 3.75e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1479540462187051e+01    1.0229356242246533e+03\n",
      "Dual infeasibility......:   3.3609026672820619e-10    2.9948821376944582e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9609876795339164e-09    3.5296146373251628e-07\n",
      "Overall NLP error.......:   3.9609876795339164e-09    3.5296146373251628e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.534\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (304.35us)   4.75ms (206.65us)        23\n",
      "       nlp_g  |   3.00ms (130.43us)   4.08ms (177.57us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 767.00us (767.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (541.67us)  13.16ms (548.50us)        24\n",
      "  nlp_hess_l  | 323.00ms ( 14.68ms) 324.75ms ( 14.76ms)        22\n",
      "   nlp_jac_g  |  91.00ms (  3.79ms)  90.06ms (  3.75ms)        24\n",
      "       total  | 535.00ms (535.00ms) 534.91ms (534.91ms)         1\n",
      "[2.99982, 3.01506, 4.11386, 1, 1, -1, -5.80137e-05, 5.80208e-05, 0.00341867, 0.000101181, -0.000101122, -0.000670297]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  9.6516620e+02 1.64e-03 7.52e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  9.8008634e+02 0.00e+00 2.11e+00  -1.0 2.35e-01  -4.0 4.22e-01 4.23e-01f  1\n",
      "   2  1.0183278e+03 0.00e+00 3.64e+00  -1.0 1.81e-01  -4.5 8.92e-01 9.90e-01f  1\n",
      "   3  1.1008957e+03 0.00e+00 5.72e+02  -1.0 6.26e-01  -5.0 6.60e-01 9.90e-01f  1\n",
      "   4  1.1237407e+03 0.00e+00 3.39e+00  -1.0 3.91e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  1.0574317e+03 0.00e+00 6.81e+04  -2.5 8.35e-01  -5.9 6.11e-01 1.00e+00f  1\n",
      "   6  1.0229978e+03 0.00e+00 3.23e+04  -2.5 6.35e-01  -6.4 5.26e-01 6.36e-01f  1\n",
      "   7  9.8946714e+02 0.00e+00 8.34e+03  -2.5 2.08e-01  -6.9 7.42e-01 1.00e+00f  1\n",
      "   8  9.7750299e+02 0.00e+00 5.43e-01  -2.5 1.18e-01  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  9.6816966e+02 0.00e+00 4.23e+04  -3.8 1.37e-01  -7.8 8.24e-01 9.51e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  9.6617307e+02 0.00e+00 1.10e+04  -3.8 1.17e-01  -8.3 7.59e-01 8.11e-01h  1\n",
      "  11  9.6566441e+02 0.00e+00 2.94e-02  -3.8 4.64e-02  -8.8 1.00e+00 1.00e+00h  1\n",
      "  12  9.6564577e+02 0.00e+00 5.43e-04  -3.8 1.55e-02  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  9.6507772e+02 0.00e+00 3.08e+01  -5.7 3.32e-02  -9.7 8.05e-01 8.06e-01h  1\n",
      "  14  9.6496110e+02 5.70e-05 4.29e+02  -5.7 4.16e-02 -10.2 8.79e-01 7.57e-01h  1\n",
      "  15  9.6492234e+02 5.84e-06 3.73e-04  -5.7 1.77e-02 -10.7 1.00e+00 1.00e+00f  1\n",
      "  16  9.6492202e+02 0.00e+00 9.35e-05  -5.7 1.43e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  9.6492198e+02 0.00e+00 3.56e-06  -5.7 1.45e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  9.6491314e+02 7.45e-06 2.13e+01  -8.6 1.82e-02 -12.1 8.77e-01 9.71e-01h  1\n",
      "  19  9.6491283e+02 1.84e-06 3.44e+00  -8.6 3.14e-02 -12.6 8.73e-01 9.84e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  9.6491281e+02 0.00e+00 1.64e-06  -8.6 1.60e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  9.6491281e+02 0.00e+00 7.99e-08  -8.6 8.47e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  9.6491281e+02 0.00e+00 2.27e-10  -8.6 3.64e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1665090743054837e+01    9.6491280643503569e+02\n",
      "Dual infeasibility......:   2.2696511337017000e-10    1.8774096946930819e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9736273565585025e-09    3.2869044989013099e-07\n",
      "Overall NLP error.......:   3.9736273565585025e-09    3.2869044989013099e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.504\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (173.91us)   4.19ms (182.09us)        23\n",
      "       nlp_g  |   5.00ms (217.39us)   3.91ms (169.83us)        23\n",
      "    nlp_grad  |        0 (       0) 709.00us (709.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (583.33us)  11.77ms (490.62us)        24\n",
      "  nlp_hess_l  | 302.00ms ( 13.73ms) 302.11ms ( 13.73ms)        22\n",
      "   nlp_jac_g  |  88.00ms (  3.67ms)  87.71ms (  3.65ms)        24\n",
      "       total  | 505.00ms (505.00ms) 505.36ms (505.36ms)         1\n",
      "[3.19912, 3.21573, 4.31388, 1, 1, -1, -3.77853e-05, 3.77886e-05, 0.00328461, 4.76863e-05, -4.76599e-05, -0.000418362]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  9.0940054e+02 8.38e-04 7.76e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  9.2354986e+02 0.00e+00 2.11e+00  -1.0 2.34e-01  -4.0 4.22e-01 4.23e-01f  1\n",
      "   2  9.5963107e+02 0.00e+00 3.68e+00  -1.0 1.80e-01  -4.5 8.93e-01 9.90e-01f  1\n",
      "   3  1.0366694e+03 0.00e+00 5.66e+02  -1.0 6.00e-01  -5.0 6.64e-01 9.90e-01f  1\n",
      "   4  1.0576175e+03 0.00e+00 3.19e+00  -1.0 3.79e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  9.9431406e+02 0.00e+00 7.24e+04  -2.5 8.40e-01  -5.9 6.17e-01 1.00e+00f  1\n",
      "   6  9.6450327e+02 0.00e+00 3.46e+04  -2.5 6.16e-01  -6.4 5.22e-01 5.85e-01f  1\n",
      "   7  9.3215231e+02 0.00e+00 8.99e+03  -2.5 2.11e-01  -6.9 7.40e-01 1.00e+00f  1\n",
      "   8  9.2098528e+02 0.00e+00 5.48e-01  -2.5 1.16e-01  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  9.1231224e+02 0.00e+00 4.41e+04  -3.8 1.34e-01  -7.8 8.28e-01 9.56e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  9.1052540e+02 0.00e+00 1.15e+04  -3.8 1.24e-01  -8.3 7.44e-01 7.57e-01h  1\n",
      "  11  9.0996911e+02 0.00e+00 3.04e-02  -3.8 4.67e-02  -8.8 1.00e+00 1.00e+00h  1\n",
      "  12  9.0995358e+02 0.00e+00 9.36e-04  -3.8 1.46e-02  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  9.0942521e+02 0.00e+00 3.48e+02  -5.7 3.56e-02  -9.7 7.95e-01 8.13e-01h  1\n",
      "  14  9.0931879e+02 6.68e-05 2.09e+02  -5.7 4.34e-02 -10.2 8.47e-01 7.73e-01h  1\n",
      "  15  9.0928599e+02 3.65e-06 2.13e-04  -5.7 2.39e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  9.0928550e+02 0.00e+00 6.30e-05  -5.7 1.69e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  9.0928549e+02 0.00e+00 1.78e-06  -5.7 1.09e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  9.0927741e+02 3.54e-06 1.99e+01  -8.6 1.86e-02 -12.1 8.76e-01 9.60e-01h  1\n",
      "  19  9.0927705e+02 6.19e-07 3.07e+00  -8.6 3.08e-02 -12.6 8.90e-01 9.85e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  9.0927703e+02 0.00e+00 1.64e-06  -8.6 1.56e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  9.0927703e+02 0.00e+00 7.41e-08  -8.6 8.17e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  9.0927703e+02 0.00e+00 1.85e-10  -8.6 3.52e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1887152362926619e+01    9.0927702846262594e+02\n",
      "Dual infeasibility......:   1.8493651054996008e-10    1.4146240885375014e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9762526328295873e-09    3.0415317882792237e-07\n",
      "Overall NLP error.......:   3.9762526328295873e-09    3.0415317882792237e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.517\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (260.87us)   4.55ms (197.83us)        23\n",
      "       nlp_g  |   3.00ms (130.43us)   3.69ms (160.65us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 773.00us (773.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (500.00us)  12.94ms (539.08us)        24\n",
      "  nlp_hess_l  | 302.00ms ( 13.73ms) 304.81ms ( 13.85ms)        22\n",
      "   nlp_jac_g  |  96.00ms (  4.00ms)  93.52ms (  3.90ms)        24\n",
      "       total  | 519.00ms (519.00ms) 518.16ms (518.16ms)         1\n",
      "[3.39845, 3.41638, 4.51389, 1, 1, -1, -2.82512e-05, 2.82534e-05, 0.00320094, 1.65585e-05, -1.65426e-05, -0.000293704]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  8.5609780e+02 4.88e-04 8.03e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  8.6945126e+02 0.00e+00 2.13e+00  -1.0 2.34e-01  -4.0 4.22e-01 4.23e-01f  1\n",
      "   2  9.0333913e+02 0.00e+00 3.69e+00  -1.0 1.79e-01  -4.5 8.94e-01 9.90e-01f  1\n",
      "   3  9.7484153e+02 0.00e+00 5.64e+02  -1.0 5.71e-01  -5.0 6.65e-01 9.90e-01f  1\n",
      "   4  9.9374689e+02 0.00e+00 2.93e+00  -1.0 3.62e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  9.3358876e+02 0.00e+00 7.66e+04  -2.5 8.43e-01  -5.9 6.25e-01 1.00e+00f  1\n",
      "   6  9.0822713e+02 0.00e+00 3.56e+04  -2.5 5.81e-01  -6.4 5.35e-01 5.34e-01f  1\n",
      "   7  8.7683025e+02 0.00e+00 9.41e+03  -2.5 2.16e-01  -6.9 7.36e-01 1.00e+00f  1\n",
      "   8  8.6682427e+02 0.00e+00 5.31e-01  -2.5 1.12e-01  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  8.5882779e+02 0.00e+00 4.98e+04  -3.8 1.31e-01  -7.8 8.22e-01 9.61e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  8.5722750e+02 0.00e+00 1.27e+04  -3.8 1.27e-01  -8.3 7.41e-01 7.24e-01h  1\n",
      "  11  8.5666079e+02 0.00e+00 3.24e-02  -3.8 4.74e-02  -8.8 1.00e+00 1.00e+00h  1\n",
      "  12  8.5664682e+02 0.00e+00 1.29e-03  -3.8 1.46e-02  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  8.5615786e+02 5.60e-05 7.73e+02  -5.7 3.67e-02  -9.7 7.82e-01 8.21e-01h  1\n",
      "  14  8.5605621e+02 7.76e-05 4.42e+00  -5.7 3.66e-02 -10.2 8.69e-01 8.42e-01h  1\n",
      "  15  8.5603610e+02 6.84e-06 2.63e-04  -5.7 2.01e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  8.5603575e+02 0.00e+00 3.07e-05  -5.7 1.66e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  8.5603573e+02 0.00e+00 2.71e-06  -5.7 1.20e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  8.5602854e+02 3.88e-07 1.66e+01  -8.6 1.89e-02 -12.1 8.76e-01 9.43e-01h  1\n",
      "  19  8.5602807e+02 1.06e-06 2.35e+00  -8.6 3.02e-02 -12.6 9.15e-01 9.82e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  8.5602805e+02 3.11e-07 7.71e-06  -8.6 1.54e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  8.5602805e+02 1.46e-08 8.34e-07  -8.6 7.86e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  8.5602805e+02 0.00e+00 1.12e-08  -8.6 3.38e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  8.5602804e+02 0.00e+00 2.47e-08  -9.0 2.16e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  8.5602804e+02 0.00e+00 2.07e-10  -9.0 6.76e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.2166223818444386e+01    8.5602804200127525e+02\n",
      "Dual infeasibility......:   2.0674661982411635e-10    1.4546905169549125e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6295808610495138e-10    6.7754723016686789e-08\n",
      "Overall NLP error.......:   9.6295808610495138e-10    6.7754723016686789e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.560\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (160.00us)   4.68ms (187.12us)        25\n",
      "       nlp_g  |   2.00ms ( 80.00us)   3.96ms (158.36us)        25\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 764.00us (764.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (461.54us)  13.12ms (504.50us)        26\n",
      "  nlp_hess_l  | 335.00ms ( 13.96ms) 334.75ms ( 13.95ms)        24\n",
      "   nlp_jac_g  | 103.00ms (  3.96ms) 100.04ms (  3.85ms)        26\n",
      "       total  | 561.00ms (561.00ms) 561.35ms (561.35ms)         1\n",
      "[3.59781, 3.61701, 4.71391, 1, 1, -1, -2.49412e-05, 2.49432e-05, 0.0031422, 3.7789e-05, -3.78192e-05, -0.000282487]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  8.0512890e+02 1.51e-03 8.34e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  8.1772372e+02 0.00e+00 2.10e+00  -1.0 2.34e-01  -4.0 4.22e-01 4.24e-01f  1\n",
      "   2  8.4944884e+02 0.00e+00 4.12e+00  -1.0 1.79e-01  -4.5 8.86e-01 9.90e-01f  1\n",
      "   3  9.1389657e+02 0.00e+00 3.71e+02  -1.0 5.28e-01  -5.0 7.77e-01 9.90e-01f  1\n",
      "   4  9.3314731e+02 0.00e+00 1.02e+03  -1.0 3.87e-01  -5.4 1.00e+00 9.94e-01h  1\n",
      "   5  9.3093428e+02 0.00e+00 1.59e-01  -1.0 1.34e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  8.7228565e+02 0.00e+00 6.46e+06  -5.7 8.77e-01  -6.4 6.30e-01 1.00e+00f  1\n",
      "   7  8.5256232e+02 0.00e+00 1.96e+06  -5.7 2.90e-01  -6.9 6.97e-01 4.67e-01h  1\n",
      "   8  8.1443900e+02 3.33e-03 1.26e+06  -5.7 2.87e-01  -7.3 3.54e-01 1.00e+00f  1\n",
      "   9  8.1219328e+02 1.89e-03 2.26e+05  -5.7 1.26e-01  -7.8 8.21e-01 3.38e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  8.1148810e+02 1.21e-03 9.39e+04  -5.7 1.55e-01  -8.3 5.84e-01 1.11e-01h  1\n",
      "  11  8.0723572e+02 7.21e-04 5.20e+04  -5.7 2.21e-01  -8.8 4.46e-01 7.02e-01f  1\n",
      "  12  8.0638145e+02 3.95e-04 1.56e+04  -5.7 6.92e-02  -9.2 7.00e-01 4.08e-01h  1\n",
      "  13  8.0554611e+02 5.68e-05 5.43e+03  -5.7 7.49e-02  -9.7 6.52e-01 6.80e-01h  1\n",
      "  14  8.0525751e+02 0.00e+00 1.12e+03  -5.7 6.42e-02 -10.2 7.94e-01 7.62e-01h  1\n",
      "  15  8.0517252e+02 2.17e-04 5.04e-03  -5.7 4.52e-02 -10.7 1.00e+00 9.21e-01h  1\n",
      "  16  8.0516409e+02 0.00e+00 2.98e-04  -5.7 2.13e-02 -11.2 1.00e+00 1.00e+00f  1\n",
      "  17  8.0516408e+02 0.00e+00 3.95e-05  -5.7 2.87e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  8.0516404e+02 0.00e+00 1.23e-05  -5.7 9.68e-04 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  8.0515865e+02 0.00e+00 9.21e+01  -8.6 1.92e-02 -12.6 8.75e-01 7.57e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  8.0515695e+02 5.60e-07 1.36e+01  -8.6 3.17e-02 -13.1 8.27e-01 9.83e-01h  1\n",
      "  21  8.0515689e+02 4.93e-08 5.87e-06  -8.6 1.47e-02 -13.5 1.00e+00 1.00e+00f  1\n",
      "  22  8.0515689e+02 0.00e+00 2.60e-07  -8.6 8.11e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  8.0515689e+02 0.00e+00 1.21e-08  -8.6 3.55e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  8.0515688e+02 0.00e+00 3.11e-08  -9.0 2.19e-03 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  8.0515688e+02 0.00e+00 3.60e-10  -9.0 7.07e-04 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.2518965165692322e+01    8.0515688118642629e+02\n",
      "Dual infeasibility......:   3.6048319884685043e-10    2.3184466468445941e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.7437881305421136e-10    6.2667145073845640e-08\n",
      "Overall NLP error.......:   9.7437881305421136e-10    6.2667145073845640e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.581\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (153.85us)   4.78ms (183.81us)        26\n",
      "       nlp_g  |   4.00ms (153.85us)   4.45ms (171.23us)        26\n",
      "    nlp_grad  |        0 (       0) 750.00us (750.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (592.59us)  13.41ms (496.59us)        27\n",
      "  nlp_hess_l  | 339.00ms ( 13.56ms) 344.59ms ( 13.78ms)        25\n",
      "   nlp_jac_g  | 105.00ms (  3.89ms) 103.93ms (  3.85ms)        27\n",
      "       total  | 582.00ms (582.00ms) 582.64ms (582.64ms)         1\n",
      "[3.79717, 3.81763, 4.91392, 1, 1, -1, -1.73848e-05, 1.7378e-05, 0.0030857, 5.27163e-05, -5.27386e-05, -0.000223261]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  7.5664935e+02 1.07e-03 8.68e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  7.6844277e+02 0.00e+00 2.19e+00  -1.0 2.34e-01  -4.0 4.23e-01 4.24e-01f  1\n",
      "   2  7.9806950e+02 0.00e+00 3.90e+00  -1.0 1.82e-01  -4.5 8.43e-01 9.90e-01f  1\n",
      "   3  8.5210650e+02 0.00e+00 5.88e+02  -1.0 4.53e-01  -5.0 6.52e-01 9.90e-01f  1\n",
      "   4  8.7273240e+02 0.00e+00 1.05e+03  -1.0 3.99e-01  -5.4 1.00e+00 9.94e-01h  1\n",
      "   5  8.7199353e+02 0.00e+00 8.39e-02  -1.0 1.38e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  8.1699326e+02 0.00e+00 6.38e+06  -5.7 8.74e-01  -6.4 6.35e-01 1.00e+00f  1\n",
      "   7  7.9887015e+02 0.00e+00 1.99e+06  -5.7 2.24e-01  -6.9 6.88e-01 4.86e-01h  1\n",
      "   8  7.6469943e+02 3.42e-03 1.58e+06  -5.7 2.77e-01  -7.3 2.04e-01 1.00e+00f  1\n",
      "   9  7.6374594e+02 2.72e-03 2.82e+05  -5.7 1.03e-01  -7.8 8.21e-01 1.87e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  7.5874164e+02 1.79e-04 1.09e+05  -5.7 1.57e-01  -8.3 6.14e-01 8.55e-01f  1\n",
      "  11  7.5742204e+02 0.00e+00 4.43e+04  -5.7 1.11e-01  -8.8 5.93e-01 6.37e-01h  1\n",
      "  12  7.5704248e+02 0.00e+00 1.55e+04  -5.7 6.39e-02  -9.2 6.49e-01 5.12e-01h  1\n",
      "  13  7.5678055e+02 1.27e-04 4.04e+03  -5.7 6.18e-02  -9.7 7.40e-01 7.17e-01h  1\n",
      "  14  7.5668646e+02 4.71e-04 1.09e+03  -5.7 5.82e-02 -10.2 7.31e-01 9.46e-01h  1\n",
      "  15  7.5667555e+02 0.00e+00 1.34e-03  -5.7 3.56e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  7.5667470e+02 0.00e+00 1.27e-05  -5.7 1.98e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  7.5667042e+02 0.00e+00 1.74e+02  -8.6 1.90e-02 -11.6 8.78e-01 6.61e-01h  1\n",
      "  18  7.5666827e+02 1.85e-07 1.07e+00  -8.6 3.21e-02 -12.1 9.83e-01 9.90e-01h  1\n",
      "  19  7.5666823e+02 0.00e+00 1.31e-08  -8.6 1.52e-02 -12.6 1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  7.5666823e+02 0.00e+00 6.70e-08  -8.6 7.32e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  7.5666823e+02 0.00e+00 5.69e-11  -8.6 3.16e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.2899092264936456e+01    7.5666823056944486e+02\n",
      "Dual infeasibility......:   5.6932236702778027e-11    3.3396780117119403e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.0865740239729923e-09    2.3972080145640642e-07\n",
      "Overall NLP error.......:   4.0865740239729923e-09    2.3972080145640642e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 22\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 22\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.488\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (227.27us)   4.05ms (183.95us)        22\n",
      "       nlp_g  |   2.00ms ( 90.91us)   3.60ms (163.45us)        22\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 823.00us (823.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (521.74us)  11.60ms (504.57us)        23\n",
      "  nlp_hess_l  | 291.00ms ( 13.86ms) 289.83ms ( 13.80ms)        21\n",
      "   nlp_jac_g  |  84.00ms (  3.65ms)  85.52ms (  3.72ms)        23\n",
      "       total  | 489.00ms (489.00ms) 489.11ms (489.11ms)         1\n",
      "[3.99655, 4.01825, 5.11392, 1, 1, -1, -6.84228e-06, 6.8295e-06, 0.00304105, -2.70763e-05, 2.71385e-05, -4.00117e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  7.1069320e+02 1.29e-03 9.10e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  7.2160940e+02 0.00e+00 2.21e+00  -1.0 2.33e-01  -4.0 4.25e-01 4.24e-01f  1\n",
      "   2  7.4901705e+02 0.00e+00 3.78e+00  -1.0 1.82e-01  -4.5 8.27e-01 9.90e-01f  1\n",
      "   3  7.9680228e+02 0.00e+00 5.68e+02  -1.0 4.12e-01  -5.0 6.63e-01 9.90e-01h  1\n",
      "   4  8.1576774e+02 0.00e+00 1.05e+03  -1.0 3.68e-01  -5.4 1.00e+00 9.94e-01h  1\n",
      "   5  8.1539444e+02 0.00e+00 4.80e-02  -1.0 1.22e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  7.6419637e+02 0.00e+00 6.59e+06  -5.7 8.63e-01  -6.4 6.23e-01 1.00e+00f  1\n",
      "   7  7.4743102e+02 0.00e+00 2.07e+06  -5.7 2.16e-01  -6.9 6.87e-01 5.25e-01h  1\n",
      "   8  7.3248553e+02 0.00e+00 7.18e+05  -5.7 2.63e-01  -7.3 6.53e-01 4.71e-01f  1\n",
      "   9  7.2322751e+02 0.00e+00 1.71e+05  -5.7 2.07e-01  -7.8 7.62e-01 4.70e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  7.1470484e+02 0.00e+00 8.84e+04  -5.7 2.11e-01  -8.3 4.82e-01 7.15e-01h  1\n",
      "  11  7.1224878e+02 0.00e+00 2.85e+04  -5.7 8.75e-02  -8.8 6.77e-01 5.95e-01h  1\n",
      "  12  7.1127473e+02 0.00e+00 1.01e+04  -5.7 7.10e-02  -9.2 6.45e-01 5.73e-01h  1\n",
      "  13  7.1069050e+02 2.83e-06 2.05e+03  -5.7 5.37e-02  -9.7 7.97e-01 8.09e-01h  1\n",
      "  14  7.1058584e+02 2.75e-06 4.87e+02  -5.7 2.30e-02 -10.2 7.63e-01 7.97e-01h  1\n",
      "  15  7.1055864e+02 1.49e-05 1.94e-03  -5.7 2.83e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  7.1055806e+02 0.00e+00 6.32e-05  -5.7 1.23e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  7.1055804e+02 0.00e+00 6.32e-07  -5.7 6.88e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  7.1055256e+02 1.11e-07 6.02e+01  -8.6 1.96e-02 -12.1 8.76e-01 9.51e-01h  1\n",
      "  19  7.1055224e+02 1.40e-07 1.05e-06  -8.6 2.73e-02 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  7.1055223e+02 0.00e+00 1.72e-07  -8.6 1.38e-02 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  7.1055222e+02 0.00e+00 5.15e-10  -8.6 6.63e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.3411838839522908e+01    7.1055222329408855e+02\n",
      "Dual infeasibility......:   5.1547743851187988e-10    2.7309725711376603e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.7353810662498546e-09    5.1577540887637750e-07\n",
      "Overall NLP error.......:   9.7353810662498546e-09    5.1577540887637750e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 22\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 22\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.521\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (181.82us)   3.98ms (180.95us)        22\n",
      "       nlp_g  |   4.00ms (181.82us)   3.83ms (174.27us)        22\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 950.00us (950.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (521.74us)  11.81ms (513.30us)        23\n",
      "  nlp_hess_l  | 318.00ms ( 15.14ms) 315.10ms ( 15.00ms)        21\n",
      "   nlp_jac_g  |  92.00ms (  4.00ms)  92.62ms (  4.03ms)        23\n",
      "       total  | 523.00ms (523.00ms) 522.55ms (522.55ms)         1\n",
      "[4.19594, 4.21885, 5.31393, 1, 1, -1, -1.22576e-05, 1.22571e-05, 0.00303305, -8.7026e-05, 8.70803e-05, -3.31947e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  6.6689702e+02 9.94e-04 9.58e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  6.7707226e+02 0.00e+00 2.33e+00  -1.0 2.33e-01  -4.0 4.25e-01 4.25e-01f  1\n",
      "   2  7.0234140e+02 0.00e+00 3.43e+00  -1.0 1.82e-01  -4.5 7.93e-01 9.90e-01f  1\n",
      "   3  7.4277522e+02 0.00e+00 5.29e+02  -1.0 3.59e-01  -5.0 6.86e-01 9.90e-01h  1\n",
      "   4  7.6115258e+02 0.00e+00 2.20e+00  -1.0 3.43e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  7.1537006e+02 0.00e+00 5.58e+04  -2.5 8.46e-01  -5.9 6.11e-01 1.00e+00f  1\n",
      "   6  7.0039267e+02 0.00e+00 1.56e+04  -2.5 1.93e-01  -6.4 7.21e-01 5.57e-01h  1\n",
      "   7  6.7679409e+02 0.00e+00 1.51e+00  -2.5 2.18e-01  -6.9 1.00e+00 1.00e+00f  1\n",
      "   8  6.7367110e+02 0.00e+00 2.22e-01  -2.5 9.24e-02  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  6.6848733e+02 0.00e+00 6.72e+04  -3.8 9.61e-02  -7.8 7.66e-01 9.89e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  6.6762126e+02 0.00e+00 1.33e+04  -3.8 8.80e-02  -8.3 7.97e-01 6.83e-01h  1\n",
      "  11  6.6722275e+02 0.00e+00 4.03e-02  -3.8 4.95e-02  -8.8 1.00e+00 1.00e+00h  1\n",
      "  12  6.6721031e+02 0.00e+00 3.58e-04  -3.8 1.49e-02  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  6.6688517e+02 5.61e-05 7.21e+02  -5.7 2.91e-02  -9.7 8.54e-01 8.11e-01h  1\n",
      "  14  6.6680645e+02 8.87e-06 5.34e+01  -5.7 2.26e-02 -10.2 8.96e-01 9.36e-01h  1\n",
      "  15  6.6679961e+02 0.00e+00 3.18e-04  -5.7 2.09e-02 -10.7 1.00e+00 1.00e+00f  1\n",
      "  16  6.6679933e+02 0.00e+00 3.69e-05  -5.7 1.16e-02 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  6.6679930e+02 0.00e+00 1.02e-06  -5.7 9.46e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  6.6679421e+02 0.00e+00 1.96e+01  -8.6 1.96e-02 -12.1 8.77e-01 9.71e-01h  1\n",
      "  19  6.6679400e+02 1.69e-08 4.58e-06  -8.6 2.58e-02 -12.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  6.6679399e+02 0.00e+00 2.41e-08  -8.6 1.31e-02 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  6.6679399e+02 0.00e+00 9.02e-11  -8.6 6.31e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.4070045956125062e+01    6.6679398738814461e+02\n",
      "Dual infeasibility......:   9.0171425881635514e-11    4.2733168604837397e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.7368611716255297e-09    4.6143989191781140e-07\n",
      "Overall NLP error.......:   9.7368611716255297e-09    4.6143989191781140e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 22\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 22\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.500\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (272.73us)   4.09ms (186.09us)        22\n",
      "       nlp_g  |   4.00ms (181.82us)   3.62ms (164.64us)        22\n",
      "    nlp_grad  |        0 (       0) 704.00us (704.00us)         1\n",
      "  nlp_grad_f  |   9.00ms (391.30us)  11.12ms (483.48us)        23\n",
      "  nlp_hess_l  | 285.00ms ( 13.57ms) 286.15ms ( 13.63ms)        21\n",
      "   nlp_jac_g  |  89.00ms (  3.87ms)  86.05ms (  3.74ms)        23\n",
      "       total  | 501.00ms (501.00ms) 501.03ms (501.03ms)         1\n",
      "[4.39533, 4.41945, 5.51393, 1, 1, -1, -2.96629e-05, 2.96731e-05, 0.00302641, -0.00010952, 0.000109594, -0.000181492]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  6.2544523e+02 3.86e-04 1.02e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  6.3489222e+02 0.00e+00 2.64e+00  -1.0 2.32e-01  -4.0 4.25e-01 4.27e-01f  1\n",
      "   2  6.5800275e+02 0.00e+00 3.20e+00  -1.0 1.81e-01  -4.5 8.07e-01 9.90e-01f  1\n",
      "   3  6.9496357e+02 0.00e+00 5.34e+02  -1.0 3.36e-01  -5.0 6.84e-01 9.90e-01h  1\n",
      "   4  7.0910964e+02 0.00e+00 1.63e+00  -1.0 2.69e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  6.6769968e+02 0.00e+00 5.54e+04  -2.5 8.29e-01  -5.9 5.98e-01 9.85e-01f  1\n",
      "   6  6.4614701e+02 0.00e+00 1.63e+04  -2.5 1.86e-01  -6.4 7.17e-01 1.00e+00f  1\n",
      "   7  6.3345752e+02 0.00e+00 1.33e+00  -2.5 1.42e-01  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  6.2832033e+02 0.00e+00 3.95e+04  -3.8 1.29e-01  -7.3 7.17e-01 8.48e-01h  1\n",
      "   9  6.2666099e+02 4.84e-04 1.57e+04  -3.8 1.64e-01  -7.8 6.36e-01 6.65e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  6.2588480e+02 0.00e+00 1.76e+03  -3.8 4.55e-02  -8.3 1.00e+00 8.86e-01h  1\n",
      "  11  6.2577370e+02 0.00e+00 8.22e-03  -3.8 2.98e-02  -8.8 1.00e+00 1.00e+00f  1\n",
      "  12  6.2577279e+02 0.00e+00 2.18e-04  -3.8 6.27e-03  -9.2 1.00e+00 1.00e+00h  1\n",
      "  13  6.2547608e+02 0.00e+00 3.14e+02  -5.7 2.83e-02  -9.7 8.26e-01 8.45e-01h  1\n",
      "  14  6.2542771e+02 4.90e-05 5.04e+02  -5.7 2.62e-02 -10.2 9.38e-01 7.36e-01h  1\n",
      "  15  6.2541022e+02 0.00e+00 1.99e+01  -5.7 2.68e-02 -10.7 1.00e+00 9.71e-01f  1\n",
      "  16  6.2540959e+02 0.00e+00 2.03e-04  -5.7 9.85e-03 -11.2 1.00e+00 1.00e+00f  1\n",
      "  17  6.2540957e+02 0.00e+00 5.25e-06  -5.7 6.39e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  6.2540523e+02 1.27e-07 1.40e+01  -8.6 1.96e-02 -12.1 8.76e-01 9.43e-01h  1\n",
      "  19  6.2540496e+02 9.53e-14 1.26e+00  -8.6 2.48e-02 -12.6 9.40e-01 9.75e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  6.2540494e+02 0.00e+00 2.32e-06  -8.6 1.26e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  6.2540494e+02 0.00e+00 5.32e-08  -8.6 6.31e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  6.2540494e+02 0.00e+00 1.35e-11  -8.6 2.74e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.4976709136720409e+01    6.2540494273508591e+02\n",
      "Dual infeasibility......:   1.3532286402551108e-11    5.6508801268711265e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.0440176312948403e-09    1.6887211950444935e-07\n",
      "Overall NLP error.......:   4.0440176312948403e-09    1.6887211950444935e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.519\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (217.39us)   4.39ms (190.78us)        23\n",
      "       nlp_g  |   2.00ms ( 86.96us)   4.06ms (176.43us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 753.00us (753.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (666.67us)  12.75ms (531.21us)        24\n",
      "  nlp_hess_l  | 308.00ms ( 14.00ms) 308.62ms ( 14.03ms)        22\n",
      "   nlp_jac_g  |  95.00ms (  3.96ms)  93.65ms (  3.90ms)        24\n",
      "       total  | 521.00ms (521.00ms) 520.45ms (520.45ms)         1\n",
      "[4.59472, 4.62005, 5.71394, 1, 1, -1, -5.1568e-05, 5.15909e-05, 0.00299011, -1.20654e-05, 1.20612e-05, -0.000493843]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  5.8629876e+02 6.88e-03 1.12e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  5.9503749e+02 0.00e+00 2.85e+00  -1.0 2.32e-01  -4.0 4.25e-01 4.30e-01f  1\n",
      "   2  6.1581792e+02 0.00e+00 3.01e+00  -1.0 1.82e-01  -4.5 8.19e-01 9.90e-01f  1\n",
      "   3  6.4816286e+02 0.00e+00 5.30e+02  -1.0 3.41e-01  -5.0 6.88e-01 9.90e-01h  1\n",
      "   4  6.5845583e+02 0.00e+00 8.98e+01  -1.0 1.92e-01  -5.4 1.00e+00 9.99e-01h  1\n",
      "   5  6.5878148e+02 0.00e+00 4.14e-03  -1.0 4.01e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  6.2491373e+02 0.00e+00 4.62e+06  -5.7 7.78e-01  -6.4 5.97e-01 8.60e-01f  1\n",
      "   7  6.0233866e+02 0.00e+00 2.10e+06  -5.7 2.06e-01  -6.9 7.03e-01 1.00e+00f  1\n",
      "   8  5.9433642e+02 0.00e+00 4.36e+05  -5.7 1.59e-01  -7.3 7.92e-01 6.44e-01h  1\n",
      "   9  5.8946565e+02 1.61e-09 1.70e+05  -5.7 1.35e-01  -7.8 6.10e-01 7.49e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  5.8767209e+02 4.87e-04 7.89e+04  -5.7 1.67e-01  -8.3 5.36e-01 6.00e-01h  1\n",
      "  11  5.8708926e+02 2.87e-04 2.12e+04  -5.7 5.60e-02  -8.8 7.31e-01 4.50e-01h  1\n",
      "  12  5.8659516e+02 1.25e-04 6.50e+03  -5.7 7.22e-02  -9.2 6.94e-01 6.94e-01h  1\n",
      "  13  5.8643189e+02 7.23e-05 1.21e+03  -5.7 4.55e-02  -9.7 8.14e-01 7.69e-01h  1\n",
      "  14  5.8639246e+02 8.06e-06 1.03e-02  -5.7 2.52e-02 -10.2 1.00e+00 7.66e-01h  1\n",
      "  15  5.8638066e+02 4.76e-06 1.68e-03  -5.7 2.84e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  5.8638054e+02 0.00e+00 1.79e-04  -5.7 5.14e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  5.8638052e+02 0.00e+00 2.14e-05  -5.7 1.77e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  5.8638052e+02 0.00e+00 2.86e-07  -5.7 1.98e-04 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  5.8637694e+02 0.00e+00 2.35e+01  -8.6 1.95e-02 -12.6 8.76e-01 9.45e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  5.8637673e+02 1.62e-13 1.33e+00  -8.6 2.30e-02 -13.1 9.97e-01 9.22e-01h  1\n",
      "  21  5.8637670e+02 5.07e-08 8.03e-06  -8.6 1.30e-02 -13.5 1.00e+00 1.00e+00f  1\n",
      "  22  5.8637670e+02 4.77e-09 1.63e-06  -8.6 5.84e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  5.8637670e+02 0.00e+00 3.04e-07  -8.6 2.54e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "  24  5.8637670e+02 0.00e+00 2.65e-08  -8.6 7.74e-04 -15.0 1.00e+00 1.00e+00h  1\n",
      "  25  5.8637670e+02 0.00e+00 2.81e-10  -8.6 8.81e-05 -15.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.6584246427205851e+01    5.8637669945271216e+02\n",
      "Dual infeasibility......:   2.8118130046550505e-10    9.9418543759882626e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.5076772236189402e-09    8.8665077435547870e-08\n",
      "Overall NLP error.......:   2.5076772236189402e-09    8.8665077435547870e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.626\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (192.31us)   4.78ms (183.69us)        26\n",
      "       nlp_g  |   2.00ms ( 76.92us)   4.48ms (172.27us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 870.00us (870.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (518.52us)  13.95ms (516.56us)        27\n",
      "  nlp_hess_l  | 393.00ms ( 15.72ms) 392.48ms ( 15.70ms)        25\n",
      "   nlp_jac_g  | 103.00ms (  3.81ms) 103.80ms (  3.84ms)        27\n",
      "       total  | 628.00ms (628.00ms) 627.82ms (627.82ms)         1\n",
      "[4.79411, 4.82064, 5.91396, 1, 1, -1, -5.39862e-05, 5.3998e-05, 0.00289134, 0.000123575, -0.0001237, -0.000653184]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  5.4959580e+02 9.63e-03 1.25e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  5.5758496e+02 0.00e+00 2.64e+00  -1.0 2.31e-01  -4.0 4.26e-01 4.32e-01f  1\n",
      "   2  5.7613153e+02 0.00e+00 3.76e+00  -1.0 1.86e-01  -4.5 8.21e-01 9.90e-01f  1\n",
      "   3  6.0330392e+02 0.00e+00 4.65e+02  -1.0 3.15e-01  -5.0 7.26e-01 9.90e-01h  1\n",
      "   4  6.1089462e+02 0.00e+00 3.29e+02  -1.0 1.35e-01  -5.4 1.00e+00 9.98e-01h  1\n",
      "   5  6.1118244e+02 0.00e+00 1.91e-03  -1.0 2.11e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  5.8290876e+02 0.00e+00 3.72e+06  -5.7 7.10e-01  -6.4 6.01e-01 8.12e-01f  1\n",
      "   7  5.6282448e+02 0.00e+00 2.04e+06  -5.7 2.05e-01  -6.9 7.10e-01 1.00e+00f  1\n",
      "   8  5.5622992e+02 0.00e+00 2.33e+05  -5.7 1.47e-01  -7.3 8.86e-01 6.54e-01h  1\n",
      "   9  5.5362966e+02 0.00e+00 1.57e+05  -5.7 3.68e-01  -7.8 3.26e-01 4.08e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  5.5106964e+02 2.59e-04 5.64e+04  -5.7 9.86e-02  -8.3 6.41e-01 6.70e-01h  1\n",
      "  11  5.5040252e+02 1.36e-04 1.65e+04  -5.7 6.26e-02  -8.8 7.07e-01 4.84e-01h  1\n",
      "  12  5.4988628e+02 7.23e-05 4.79e+03  -5.7 5.89e-02  -9.2 7.10e-01 7.15e-01h  1\n",
      "  13  5.4975248e+02 8.49e-05 7.24e+02  -5.7 3.35e-02  -9.7 8.49e-01 6.68e-01h  1\n",
      "  14  5.4969319e+02 4.45e-06 3.49e-03  -5.7 4.38e-02 -10.2 1.00e+00 9.06e-01h  1\n",
      "  15  5.4968602e+02 0.00e+00 5.57e-04  -5.7 2.02e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  5.4968574e+02 0.00e+00 5.16e-05  -5.7 2.64e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  5.4968571e+02 0.00e+00 6.07e-06  -5.7 8.41e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  5.4968258e+02 1.16e-06 4.41e+01  -8.6 1.96e-02 -12.1 8.77e-01 9.88e-01h  1\n",
      "  19  5.4968252e+02 6.34e-08 2.45e-01  -8.6 2.05e-02 -12.6 1.00e+00 9.49e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  5.4968251e+02 0.00e+00 8.13e-07  -8.6 1.14e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  5.4968251e+02 0.00e+00 3.39e-08  -8.6 5.25e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  5.4968251e+02 0.00e+00 2.91e-11  -8.6 2.27e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.8613104591134618e+01    5.4968250600928377e+02\n",
      "Dual infeasibility......:   2.9146463020879310e-11    8.6075381762238473e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9382055306719419e-09    1.1630314946548176e-07\n",
      "Overall NLP error.......:   3.9382055306719419e-09    1.1630314946548176e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.515\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (304.35us)   4.30ms (186.87us)        23\n",
      "       nlp_g  |   3.00ms (130.43us)   4.06ms (176.43us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 779.00us (779.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (500.00us)  11.72ms (488.50us)        24\n",
      "  nlp_hess_l  | 303.00ms ( 13.77ms) 302.50ms ( 13.75ms)        22\n",
      "   nlp_jac_g  |  89.00ms (  3.71ms)  92.27ms (  3.84ms)        24\n",
      "       total  | 516.00ms (516.00ms) 516.05ms (516.05ms)         1\n",
      "[4.99352, 5.02121, 6.11398, 1, 1, -1, -2.92782e-05, 2.92509e-05, 0.0027607, 0.000146565, -0.000146517, -0.000433785]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  5.1533874e+02 1.67e-03 1.39e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  5.2252085e+02 0.00e+00 3.07e+00  -1.0 2.30e-01  -4.0 4.30e-01 4.32e-01f  1\n",
      "   2  5.3897120e+02 0.00e+00 4.74e+00  -1.0 1.94e-01  -4.5 7.21e-01 9.90e-01f  1\n",
      "   3  5.5849545e+02 0.00e+00 4.09e+02  -1.0 2.59e-01  -5.0 7.58e-01 9.90e-01h  1\n",
      "   4  5.6642734e+02 0.00e+00 3.79e+02  -1.0 1.30e-01  -5.4 1.00e+00 9.98e-01h  1\n",
      "   5  5.6706995e+02 0.00e+00 1.11e-03  -1.0 2.07e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  5.4310766e+02 0.00e+00 3.18e+06  -5.7 6.24e-01  -6.4 6.17e-01 7.97e-01f  1\n",
      "   7  5.2582095e+02 1.71e-03 1.95e+06  -5.7 2.02e-01  -6.9 7.11e-01 1.00e+00f  1\n",
      "   8  5.2042043e+02 0.00e+00 2.70e+05  -5.7 1.32e-01  -7.3 8.61e-01 6.87e-01h  1\n",
      "   9  5.1851450e+02 0.00e+00 1.84e+05  -5.7 4.00e-01  -7.8 3.21e-01 3.82e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  5.1641182e+02 2.73e-04 5.90e+04  -5.7 8.70e-02  -8.3 6.79e-01 6.83e-01h  1\n",
      "  11  5.1572790e+02 1.85e-04 1.84e+04  -5.7 6.17e-02  -8.8 6.88e-01 6.26e-01h  1\n",
      "  12  5.1540799e+02 5.66e-04 7.35e+03  -5.7 6.36e-02  -9.2 6.00e-01 7.55e-01h  1\n",
      "  13  5.1532479e+02 1.42e-04 1.39e+03  -5.7 3.86e-02  -9.7 8.11e-01 7.70e-01h  1\n",
      "  14  5.1530227e+02 1.96e-05 1.32e+02  -5.7 2.43e-02 -10.2 9.05e-01 9.13e-01h  1\n",
      "  15  5.1529991e+02 0.00e+00 1.10e-03  -5.7 2.43e-02 -10.7 1.00e+00 9.05e-01f  1\n",
      "  16  5.1529962e+02 0.00e+00 2.06e-04  -5.7 5.78e-03 -11.2 1.00e+00 1.00e+00f  1\n",
      "  17  5.1529958e+02 0.00e+00 1.69e-05  -5.7 1.12e-03 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  5.1529705e+02 2.70e-06 3.39e+01  -8.6 1.96e-02 -12.1 8.80e-01 9.62e-01h  1\n",
      "  19  5.1529694e+02 8.88e-07 1.69e+00  -8.6 1.91e-02 -12.6 9.93e-01 8.72e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  5.1529692e+02 0.00e+00 3.62e-06  -8.6 1.17e-02 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  5.1529692e+02 0.00e+00 5.04e-08  -8.6 5.05e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  5.1529692e+02 0.00e+00 8.84e-11  -8.6 2.22e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.0927511119660196e+01    5.1529692147638036e+02\n",
      "Dual infeasibility......:   8.8391516328556463e-11    2.1764593022217889e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.1214910771667896e-09    1.0148324145250302e-07\n",
      "Overall NLP error.......:   4.1214910771667896e-09    1.0148324145250302e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.507\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (173.91us)   4.15ms (180.48us)        23\n",
      "       nlp_g  |   4.00ms (173.91us)   3.67ms (159.52us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 760.00us (760.00us)         1\n",
      "  nlp_grad_f  |   9.00ms (375.00us)  11.62ms (484.29us)        24\n",
      "  nlp_hess_l  | 301.00ms ( 13.68ms) 300.22ms ( 13.65ms)        22\n",
      "   nlp_jac_g  |  89.00ms (  3.71ms)  90.69ms (  3.78ms)        24\n",
      "       total  | 508.00ms (508.00ms) 507.93ms (507.93ms)         1\n",
      "[5.19296, 5.22175, 6.314, 1, 1, -1, 3.22544e-08, -5.50067e-08, 0.00267395, -0.000202261, 0.000202628, 0.000203012]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  4.8347558e+02 6.23e-03 1.52e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  4.8985180e+02 0.00e+00 3.80e+00  -1.0 2.27e-01  -4.0 4.37e-01 4.32e-01f  1\n",
      "   2  5.0449300e+02 0.00e+00 6.08e+00  -1.0 1.97e-01  -4.5 6.44e-01 9.90e-01f  1\n",
      "   3  5.1909670e+02 0.00e+00 1.90e+02  -1.0 2.12e-01  -5.0 8.62e-01 9.69e-01h  1\n",
      "   4  5.2655653e+02 0.00e+00 4.50e+02  -1.0 1.39e-01  -5.4 1.00e+00 9.92e-01h  1\n",
      "   5  5.2698938e+02 0.00e+00 1.63e-03  -1.0 1.45e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  5.0612836e+02 0.00e+00 1.00e+06  -5.7 5.41e-01  -6.4 6.39e-01 8.12e-01f  1\n",
      "   7  4.9163673e+02 2.84e-03 6.11e+05  -5.7 1.96e-01  -6.9 7.06e-01 1.00e+00f  1\n",
      "   8  4.8716856e+02 0.00e+00 9.85e+04  -5.7 1.18e-01  -7.3 8.39e-01 7.34e-01h  1\n",
      "   9  4.8584825e+02 4.96e-04 6.94e+04  -5.7 4.54e-01  -7.8 2.95e-01 3.37e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  4.8408201e+02 4.71e-04 2.04e+04  -5.7 7.99e-02  -8.3 7.06e-01 7.13e-01h  1\n",
      "  11  4.8351166e+02 3.00e-04 5.61e+03  -5.7 6.60e-02  -8.8 7.25e-01 6.79e-01h  1\n",
      "  12  4.8331450e+02 7.43e-04 2.34e+03  -5.7 6.45e-02  -9.2 5.83e-01 6.92e-01h  1\n",
      "  13  4.8324030e+02 4.64e-04 3.96e+02  -5.7 5.34e-02  -9.7 8.31e-01 8.29e-01h  1\n",
      "  14  4.8322328e+02 0.00e+00 1.14e-02  -5.7 2.34e-02 -10.2 1.00e+00 9.84e-01h  1\n",
      "  15  4.8322262e+02 9.66e-07 2.40e-03  -5.7 2.55e-02 -10.7 1.00e+00 8.28e-01f  1\n",
      "  16  4.8322254e+02 0.00e+00 1.14e-04  -5.7 5.20e-03 -11.2 1.00e+00 1.00e+00f  1\n",
      "  17  4.8322251e+02 0.00e+00 1.62e-06  -5.7 5.99e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  4.8322038e+02 1.80e-07 3.51e+01  -8.6 1.97e-02 -12.1 8.82e-01 9.52e-01h  1\n",
      "  19  4.8322027e+02 6.21e-13 1.46e-01  -8.6 1.79e-02 -12.6 9.87e-01 9.61e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  4.8322026e+02 0.00e+00 3.37e-06  -8.6 9.58e-03 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  4.8322026e+02 0.00e+00 3.89e-08  -8.6 4.52e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  4.8322026e+02 0.00e+00 1.85e-11  -8.6 1.97e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.3093243770695874e+01    4.8322026068638627e+02\n",
      "Dual infeasibility......:   1.8516743693908211e-11    3.8745815891778042e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9985683045010219e-09    8.3669026216453534e-08\n",
      "Overall NLP error.......:   3.9985683045010219e-09    8.3669026216453534e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.502\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (130.43us)   3.96ms (172.00us)        23\n",
      "       nlp_g  |   5.00ms (217.39us)   3.59ms (156.13us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 843.00us (843.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (458.33us)  11.79ms (491.08us)        24\n",
      "  nlp_hess_l  | 300.00ms ( 13.64ms) 301.73ms ( 13.71ms)        22\n",
      "   nlp_jac_g  |  91.00ms (  3.79ms)  90.00ms (  3.75ms)        24\n",
      "       total  | 504.00ms (504.00ms) 503.85ms (503.85ms)         1\n",
      "[5.39242, 5.42229, 6.514, 1, 1, -1, -4.042e-05, 4.04705e-05, 0.00271455, -7.08741e-05, 7.07513e-05, -0.000326085]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  4.5343752e+02 9.29e-03 2.10e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  4.5930556e+02 0.00e+00 5.33e+00  -1.0 2.25e-01  -4.0 4.36e-01 4.45e-01f  1\n",
      "   2  4.7087811e+02 0.00e+00 5.41e+00  -1.0 1.95e-01  -4.5 6.90e-01 9.90e-01f  1\n",
      "   3  4.8093490e+02 0.00e+00 2.53e+02  -1.0 2.14e-01  -5.0 8.50e-01 9.90e-01h  1\n",
      "   4  4.8394226e+02 0.00e+00 6.49e+02  -1.0 8.65e-02  -5.4 1.00e+00 9.96e-01h  1\n",
      "   5  4.8408574e+02 0.00e+00 8.58e-04  -1.0 6.75e-03  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  4.6762146e+02 0.00e+00 3.23e+06  -5.7 3.27e-01  -6.4 7.09e-01 8.88e-01f  1\n",
      "   7  4.5829359e+02 1.53e-03 1.82e+06  -5.7 1.72e-01  -6.9 6.46e-01 9.81e-01f  1\n",
      "   8  4.5551156e+02 0.00e+00 4.19e+05  -5.7 8.30e-02  -7.3 7.72e-01 8.74e-01h  1\n",
      "   9  4.5478142e+02 4.47e-04 2.81e+05  -5.7 4.05e-01  -7.8 3.29e-01 3.38e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  4.5386240e+02 4.68e-04 1.03e+05  -5.7 7.19e-02  -8.3 6.36e-01 7.23e-01h  1\n",
      "  11  4.5356866e+02 2.70e-04 3.20e+04  -5.7 4.69e-02  -8.8 6.88e-01 6.90e-01h  1\n",
      "  12  4.5346109e+02 1.60e-04 6.97e+03  -5.7 4.34e-02  -9.2 7.82e-01 7.26e-01h  1\n",
      "  13  4.5342442e+02 7.36e-05 1.37e+03  -5.7 2.56e-02  -9.7 8.04e-01 8.88e-01h  1\n",
      "  14  4.5341885e+02 2.62e-05 6.24e+01  -5.7 2.64e-02 -10.2 9.55e-01 1.00e+00h  1\n",
      "  15  4.5341856e+02 0.00e+00 1.01e-03  -5.7 2.47e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  4.5341850e+02 0.00e+00 6.25e-05  -5.7 2.84e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  4.5341850e+02 0.00e+00 8.37e-07  -5.7 2.42e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  4.5341708e+02 7.13e-08 5.25e+01  -8.6 1.86e-02 -12.1 8.91e-01 9.93e-01h  1\n",
      "In iteration 18, 1 Slack too small, adjusting variable bound\n",
      "  19  4.5341706e+02 3.74e-12 1.11e-01  -8.6 1.44e-02 -12.6 9.95e-01 9.03e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  4.5341706e+02 0.00e+00 1.90e-07  -8.6 8.53e-03 -13.1 1.00e+00 1.00e+00h  1\n",
      "  21  4.5341706e+02 0.00e+00 7.17e-09  -8.6 3.68e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  4.5341705e+02 0.00e+00 7.58e-09  -9.0 1.84e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.3234972429360127e+01    4.5341705424723500e+02\n",
      "Dual infeasibility......:   7.5802120136359008e-09    1.0341508208251173e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.0233796777612288e-09    4.1247270786071899e-08\n",
      "Overall NLP error.......:   7.5802120136359008e-09    1.0341508208251173e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.587\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (304.35us)   4.18ms (181.96us)        23\n",
      "       nlp_g  |   4.00ms (173.91us)   3.76ms (163.35us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.19ms (  1.19ms)         1\n",
      "  nlp_grad_f  |  20.00ms (833.33us)  19.84ms (826.75us)        24\n",
      "  nlp_hess_l  | 341.00ms ( 15.50ms) 344.03ms ( 15.64ms)        22\n",
      "   nlp_jac_g  | 106.00ms (  4.42ms) 104.98ms (  4.37ms)        24\n",
      "       total  | 589.00ms (589.00ms) 588.41ms (588.41ms)         1\n",
      "[5.59187, 5.62282, 6.71401, 1, 1, -1, -5.45974e-05, 5.46181e-05, 0.00264933, 9.31809e-05, -9.31425e-05, -0.000628795]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  4.2587950e+02 1.16e-02 2.89e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  4.3114589e+02 0.00e+00 5.82e+00  -1.0 2.19e-01  -4.0 4.06e-01 4.57e-01f  1\n",
      "   2  4.3975297e+02 0.00e+00 6.41e+00  -1.0 1.95e-01  -4.5 6.42e-01 9.90e-01f  1\n",
      "   3  4.4541115e+02 0.00e+00 6.74e+01  -1.0 1.69e-01  -5.0 9.53e-01 9.90e-01h  1\n",
      "   4  4.4713092e+02 0.00e+00 1.57e+03  -1.0 7.28e-02  -5.4 1.00e+00 9.91e-01h  1\n",
      "   5  4.4715195e+02 0.00e+00 4.65e-04  -1.0 1.46e-03  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  4.3416202e+02 0.00e+00 4.38e+06  -5.7 2.09e-01  -6.4 7.55e-01 9.91e-01f  1\n",
      "   7  4.2880976e+02 0.00e+00 2.25e+06  -5.7 1.33e-01  -6.9 5.05e-01 9.76e-01f  1\n",
      "   8  4.2730874e+02 0.00e+00 5.57e+05  -5.7 6.54e-02  -7.3 7.52e-01 8.78e-01h  1\n",
      "   9  4.2678079e+02 4.73e-04 3.67e+05  -5.7 3.79e-01  -7.8 3.41e-01 3.41e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  4.2611365e+02 5.51e-04 1.36e+05  -5.7 7.63e-02  -8.3 6.30e-01 7.71e-01h  1\n",
      "  11  4.2594624e+02 2.94e-04 5.38e+04  -5.7 7.06e-02  -8.8 6.04e-01 6.44e-01h  1\n",
      "  12  4.2585876e+02 8.50e-04 1.78e+04  -5.7 7.05e-02  -9.2 6.69e-01 7.95e-01h  1\n",
      "  13  4.2584175e+02 2.85e-04 2.41e+03  -5.7 1.74e-02  -9.7 8.65e-01 6.35e-01h  1\n",
      "  14  4.2583264e+02 3.63e-05 1.59e+02  -5.7 2.88e-02 -10.2 9.34e-01 9.21e-01h  1\n",
      "  15  4.2583156e+02 0.00e+00 4.52e-03  -5.7 2.86e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  4.2583152e+02 0.00e+00 5.40e-04  -5.7 5.42e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  4.2583152e+02 0.00e+00 3.24e-05  -5.7 6.92e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  4.2583152e+02 0.00e+00 2.82e-07  -5.7 6.59e-05 -12.1 1.00e+00 1.00e+00h  1\n",
      "  19  4.2583063e+02 0.00e+00 9.35e+01  -8.6 1.40e-02 -12.6 9.17e-01 9.59e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  4.2583060e+02 9.06e-08 1.76e+01  -8.6 9.06e-03 -13.1 9.83e-01 7.76e-01h  1\n",
      "  21  4.2583059e+02 4.75e-08 1.06e-05  -8.6 6.17e-03 -13.5 1.00e+00 1.00e+00f  1\n",
      "  22  4.2583058e+02 0.00e+00 1.59e-07  -8.6 2.49e-03 -14.0 1.00e+00 1.00e+00h  1\n",
      "  23  4.2583058e+02 0.00e+00 1.81e-10  -8.6 1.09e-03 -14.5 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 23\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.7236995472476721e+01    4.2583058471322408e+02\n",
      "Dual infeasibility......:   1.8118129219146795e-10    1.6333074282411604e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.2453413302980457e-09    3.8270769825768670e-08\n",
      "Overall NLP error.......:   4.2453413302980457e-09    3.8270769825768670e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 24\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 24\n",
      "Number of Lagrangian Hessian evaluations             = 23\n",
      "Total seconds in IPOPT                               = 0.519\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   1.00ms ( 41.67us)   4.23ms (176.37us)        24\n",
      "       nlp_g  |   3.00ms (125.00us)   3.93ms (163.58us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 793.00us (793.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (600.00us)  12.16ms (486.40us)        25\n",
      "  nlp_hess_l  | 310.00ms ( 13.48ms) 309.58ms ( 13.46ms)        23\n",
      "   nlp_jac_g  |  91.00ms (  3.64ms)  92.58ms (  3.70ms)        25\n",
      "       total  | 521.00ms (521.00ms) 520.74ms (520.74ms)         1\n",
      "[5.79133, 5.82334, 6.91403, 1, 1, -1, -3.59681e-05, 3.59828e-05, 0.00252357, 0.000466634, -0.000467516, -0.000819477]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  4.0048370e+02 2.67e-02 5.52e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  4.0529282e+02 0.00e+00 1.49e+01  -1.0 2.01e-01  -4.0 3.80e-01 4.98e-01f  1\n",
      "   2  4.0977761e+02 0.00e+00 6.05e+00  -1.0 1.82e-01  -4.5 6.87e-01 9.90e-01f  1\n",
      "   3  4.1156247e+02 0.00e+00 1.98e+01  -1.0 1.27e-01  -5.0 1.00e+00 9.90e-01h  1\n",
      "   4  4.1178000e+02 0.00e+00 1.67e+03  -1.0 2.67e-02  -5.4 1.00e+00 9.92e-01h  1\n",
      "   5  4.1177624e+02 0.00e+00 1.78e-04  -1.0 2.42e-04  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  4.0453854e+02 1.38e-03 4.98e+06  -5.7 1.43e-01  -6.4 7.49e-01 9.97e-01f  1\n",
      "   7  4.0196585e+02 0.00e+00 1.24e+06  -5.7 8.40e-02  -6.9 7.54e-01 9.63e-01f  1\n",
      "   8  4.0166239e+02 2.88e-04 1.03e+06  -5.7 1.08e+00  -7.3 1.73e-01 1.35e-01f  1\n",
      "   9  4.0088892e+02 7.64e-04 4.18e+05  -5.7 1.26e-01  -7.8 5.92e-01 7.21e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  4.0059875e+02 4.66e-04 1.55e+05  -5.7 7.59e-02  -8.3 6.31e-01 6.96e-01h  1\n",
      "  11  4.0051144e+02 3.30e-04 4.97e+04  -5.7 4.95e-02  -8.8 6.78e-01 5.66e-01h  1\n",
      "  12  4.0045995e+02 1.83e-04 8.93e+03  -5.7 4.33e-02  -9.2 8.20e-01 7.29e-01h  1\n",
      "  13  4.0044478e+02 3.89e-05 1.71e+03  -5.7 2.29e-02  -9.7 8.09e-01 7.31e-01h  1\n",
      "  14  4.0043902e+02 3.14e-05 3.87e+01  -5.7 3.53e-02 -10.2 9.77e-01 9.26e-01h  1\n",
      "  15  4.0043867e+02 5.27e-06 1.40e-03  -5.7 1.72e-02 -10.7 1.00e+00 1.00e+00h  1\n",
      "  16  4.0043868e+02 0.00e+00 1.12e-04  -5.7 4.34e-03 -11.2 1.00e+00 1.00e+00h  1\n",
      "  17  4.0043867e+02 0.00e+00 6.77e-06  -5.7 6.43e-04 -11.6 1.00e+00 1.00e+00h  1\n",
      "  18  4.0043830e+02 1.59e-07 1.73e+02  -8.6 1.05e-02 -12.1 9.46e-01 8.69e-01h  1\n",
      "  19  4.0043825e+02 8.29e-08 4.41e+01  -8.6 6.98e-03 -12.6 9.27e-01 8.20e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  4.0043824e+02 1.94e-08 5.60e-06  -8.6 4.09e-03 -13.1 1.00e+00 1.00e+00f  1\n",
      "  21  4.0043824e+02 0.00e+00 3.49e-07  -8.6 1.78e-03 -13.5 1.00e+00 1.00e+00h  1\n",
      "  22  4.0043824e+02 0.00e+00 4.17e-09  -8.6 7.92e-04 -14.0 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   9.4794403451250773e+01    4.0043824148249331e+02\n",
      "Dual infeasibility......:   4.1684131701913429e-09    1.7608550493197518e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.4684933554734384e-09    1.8876173657890978e-08\n",
      "Overall NLP error.......:   4.4684933554734384e-09    1.8876173657890978e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.520\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (173.91us)   4.04ms (175.48us)        23\n",
      "       nlp_g  |   4.00ms (173.91us)   3.82ms (165.91us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 870.00us (870.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (583.33us)  12.88ms (536.83us)        24\n",
      "  nlp_hess_l  | 308.00ms ( 14.00ms) 308.44ms ( 14.02ms)        22\n",
      "   nlp_jac_g  |  92.00ms (  3.83ms)  92.73ms (  3.86ms)        24\n",
      "       total  | 521.00ms (521.00ms) 521.41ms (521.41ms)         1\n",
      "[5.99082, 6.02384, 7.11405, 1, 1, -1, 5.73529e-05, -5.75263e-05, 0.00235968, -0.000116956, 0.000119586, 0.000682546]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.7739414e+02 1.10e-02 5.38e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.8141676e+02 0.00e+00 1.39e+01  -1.0 1.99e-01  -4.0 3.49e-01 4.88e-01f  1\n",
      "   2  3.8518983e+02 0.00e+00 6.80e+00  -1.0 1.69e-01  -4.5 9.89e-01 9.90e-01h  1\n",
      "   3  3.8728888e+02 0.00e+00 2.63e+01  -1.0 1.75e-01  -5.0 9.77e-01 9.90e-01h  1\n",
      "   4  3.8705683e+02 0.00e+00 1.62e+03  -1.0 2.68e-02  -5.4 1.00e+00 9.92e-01h  1\n",
      "   5  3.8704891e+02 0.00e+00 6.90e-05  -1.0 1.50e-03  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  3.8089533e+02 1.46e-03 4.74e+06  -5.7 1.36e-01  -6.4 7.54e-01 9.94e-01f  1\n",
      "   7  3.7858494e+02 0.00e+00 1.14e+06  -5.7 8.20e-02  -6.9 7.63e-01 9.70e-01f  1\n",
      "   8  3.7828207e+02 2.61e-04 8.40e+05  -5.7 6.68e-01  -1.0 2.65e-01 2.01e-01h  1\n",
      "   9  3.7764830e+02 7.45e-04 3.64e+05  -5.7 1.41e-01  -1.5 5.67e-01 6.49e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  3.7734040e+02 5.64e-04 1.52e+05  -5.7 9.03e-02  -2.0 5.82e-01 6.97e-01h  1\n",
      "  11  3.7724353e+02 2.80e-04 5.59e+04  -5.7 5.90e-02  -2.4 6.33e-01 6.13e-01h  1\n",
      "  12  3.7720052e+02 1.19e-04 1.75e+04  -5.7 4.40e-02  -2.9 6.86e-01 6.31e-01h  1\n",
      "  13  3.7718089e+02 7.31e-05 1.72e+03  -5.7 2.32e-02  -3.4 9.02e-01 7.91e-01h  1\n",
      "  14  3.7717513e+02 0.00e+00 4.27e+00  -5.7 4.04e-02  -3.9 9.98e-01 1.00e+00h  1\n",
      "  15  3.7717490e+02 9.71e-08 1.38e-03  -5.7 1.63e-02  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  3.7717489e+02 0.00e+00 1.01e-04  -5.7 4.59e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  3.7717489e+02 0.00e+00 1.04e-06  -5.7 4.13e-04  -5.3 1.00e+00 1.00e+00h  1\n",
      "  18  3.7717454e+02 0.00e+00 7.64e+01  -8.6 1.02e-02  -5.8 9.47e-01 9.11e-01h  1\n",
      "  19  3.7717451e+02 7.50e-13 3.52e+01  -8.6 6.44e-03  -6.3 9.66e-01 7.93e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  3.7717450e+02 0.00e+00 4.24e-07  -8.6 4.07e-03  -6.7 1.00e+00 1.00e+00f  1\n",
      "  21  3.7717450e+02 0.00e+00 1.01e-10  -8.6 1.68e-03  -7.2 1.00e+00 1.00e+00h  1\n",
      "  22  3.7717450e+02 0.00e+00 4.52e-10  -9.0 8.69e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   9.5039872143699014e+01    3.7717449944796414e+02\n",
      "Dual infeasibility......:   4.5166359541326528e-10    1.7924686415959204e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.4297318964294121e-09    1.3611207402726335e-08\n",
      "Overall NLP error.......:   3.4297318964294121e-09    1.3611207402726335e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.520\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (130.43us)   4.03ms (175.43us)        23\n",
      "       nlp_g  |   1.00ms ( 43.48us)   3.88ms (168.74us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 808.00us (808.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (666.67us)  12.05ms (501.92us)        24\n",
      "  nlp_hess_l  | 300.00ms ( 13.64ms) 297.81ms ( 13.54ms)        22\n",
      "   nlp_jac_g  |  88.00ms (  3.67ms)  91.52ms (  3.81ms)        24\n",
      "       total  | 521.00ms (521.00ms) 521.07ms (521.07ms)         1\n",
      "[6.19036, 6.22432, 7.31403, 1, 0.999999, -1, 3.39538e-05, -3.3617e-05, 0.00249619, 0.000712145, -0.000713622, -0.000382023]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.5616417e+02 5.96e-02 2.69e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.5959149e+02 0.00e+00 9.42e+00  -1.0 2.22e-01  -4.0 3.01e-01 4.53e-01f  1\n",
      "   2  3.6417079e+02 0.00e+00 5.74e+00  -1.0 1.96e-01  -4.5 6.53e-01 9.64e-01f  1\n",
      "   3  3.6750099e+02 0.00e+00 3.18e+01  -1.0 1.60e-01  -5.0 9.42e-01 8.77e-01h  1\n",
      "   4  3.6923626e+02 0.00e+00 4.13e+01  -1.0 8.19e-02  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  3.6925281e+02 0.00e+00 3.56e+03  -1.0 1.52e-03  -5.9 1.00e+00 9.91e-01h  1\n",
      "   6  3.6925284e+02 0.00e+00 1.00e-06  -1.0 2.66e-05  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  3.6138546e+02 1.32e-03 1.02e+07  -5.7 2.17e-01  -6.9 7.54e-01 1.00e+00f  1\n",
      "   8  3.5819463e+02 9.68e-04 4.67e+06  -5.7 1.17e-01  -7.3 5.42e-01 9.75e-01f  1\n",
      "   9  3.5709142e+02 0.00e+00 1.16e+06  -5.7 6.75e-02  -7.8 7.52e-01 9.37e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  3.5675144e+02 0.00e+00 1.53e+05  -5.7 2.43e-02   0.0 8.68e-01 8.67e-01h  1\n",
      "  11  3.5648079e+02 1.81e-04 5.03e+04  -5.7 1.35e-01  -0.4 6.72e-01 4.38e-01h  1\n",
      "  12  3.5630675e+02 3.19e-04 2.04e+04  -5.7 1.58e-01  -0.9 5.95e-01 2.63e-01h  1\n",
      "  13  3.5619529e+02 4.43e-04 9.25e+03  -5.7 1.83e-01  -1.4 5.46e-01 2.03e-01h  1\n",
      "  14  3.5612575e+02 4.99e-04 3.67e+03  -5.7 2.21e-01  -1.9 6.03e-01 1.70e-01h  1\n",
      "  15  3.5606536e+02 5.39e-04 1.36e+03  -5.7 1.89e-01  -2.4 6.31e-01 2.77e-01h  1\n",
      "  16  3.5601300e+02 4.49e-04 1.16e+02  -5.7 1.10e-01  -2.8 9.14e-01 4.53e-01h  1\n",
      "  17  3.5600380e+02 3.71e-04 2.09e+01  -5.7 4.16e-02  -3.3 8.20e-01 1.72e-01h  1\n",
      "  18  3.5596263e+02 2.23e-06 6.51e-02  -5.7 4.39e-02  -3.8 1.00e+00 1.00e+00h  1\n",
      "  19  3.5596212e+02 0.00e+00 1.49e-05  -5.7 1.36e-03  -4.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  3.5596144e+02 0.00e+00 1.14e+02  -8.6 1.26e-02  -4.7 9.33e-01 9.53e-01h  1\n",
      "  21  3.5596141e+02 0.00e+00 2.35e+01  -8.6 8.15e-03  -5.2 1.00e+00 9.11e-01h  1\n",
      "  22  3.5596140e+02 0.00e+00 8.66e-06  -8.6 4.63e-03  -5.7 1.00e+00 1.00e+00f  1\n",
      "  23  3.5596140e+02 0.00e+00 1.76e-09  -8.6 2.05e-03  -6.2 1.00e+00 1.00e+00h  1\n",
      "  24  3.5596140e+02 0.00e+00 5.52e-08  -9.0 1.07e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  25  3.5596140e+02 0.00e+00 7.48e-11  -9.0 4.48e-04  -7.1 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   5.0667900661333356e+01    3.5596140203435095e+02\n",
      "Dual infeasibility......:   7.4818373718699149e-11    5.2562772207300959e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.2872651844153438e-09    9.0435307927446094e-09\n",
      "Overall NLP error.......:   1.2872651844153438e-09    9.0435307927446094e-09\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.589\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 76.92us)   4.49ms (172.62us)        26\n",
      "       nlp_g  |   8.00ms (307.69us)   4.44ms (170.88us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 799.00us (799.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (555.56us)  13.29ms (492.30us)        27\n",
      "  nlp_hess_l  | 347.00ms ( 13.88ms) 344.55ms ( 13.78ms)        25\n",
      "   nlp_jac_g  | 101.00ms (  3.74ms) 102.86ms (  3.81ms)        27\n",
      "       total  | 591.00ms (591.00ms) 590.44ms (590.44ms)         1\n",
      "[6.38986, 6.42482, 7.51401, 1, 1, -1, 0.000176385, -0.000176339, 0.00241978, 0.00081306, -0.00081096, 0.000917283]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.3698247e+02 7.55e-03 2.63e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.3980153e+02 0.00e+00 7.64e+00  -1.0 2.22e-01  -4.0 3.13e-01 4.36e-01f  1\n",
      "   2  3.4381479e+02 0.00e+00 5.20e+00  -1.0 1.93e-01  -4.5 6.62e-01 9.52e-01f  1\n",
      "   3  3.4696399e+02 0.00e+00 2.28e+01  -1.0 1.67e-01  -5.0 9.26e-01 8.62e-01h  1\n",
      "   4  3.4876698e+02 0.00e+00 2.69e+01  -1.0 8.39e-02  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  3.4879058e+02 0.00e+00 2.44e+03  -1.0 2.67e-03  -5.9 1.00e+00 9.91e-01h  1\n",
      "   6  3.4879069e+02 0.00e+00 1.00e-06  -1.0 3.29e-05  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  3.4179020e+02 9.83e-04 7.01e+06  -5.7 2.58e-01  -6.9 7.40e-01 1.00e+00f  1\n",
      "   8  3.3898963e+02 1.37e-03 2.71e+06  -5.7 1.17e-01  -7.3 6.13e-01 9.74e-01f  1\n",
      "   9  3.3786883e+02 0.00e+00 6.11e+05  -5.7 7.28e-02  -7.8 7.75e-01 9.32e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  3.3757648e+02 0.00e+00 7.54e+04  -5.7 2.12e-02   0.0 8.77e-01 8.85e-01h  1\n",
      "  11  3.3732550e+02 0.00e+00 2.59e+04  -5.7 1.48e-01  -0.4 6.57e-01 4.51e-01h  1\n",
      "  12  3.3720959e+02 2.06e-04 1.19e+04  -5.7 2.76e-01  -0.9 5.38e-01 1.22e-01h  1\n",
      "  13  3.3704023e+02 4.99e-04 5.93e+03  -5.7 2.13e-01  -1.4 5.04e-01 2.36e-01h  1\n",
      "  14  3.3694972e+02 5.78e-04 2.99e+03  -5.7 2.19e-01  -1.9 4.96e-01 1.84e-01h  1\n",
      "  15  3.3688074e+02 6.11e-04 1.55e+03  -5.7 3.05e-01  -2.4 4.81e-01 2.20e-01h  1\n",
      "  16  3.3686505e+02 5.69e-04 3.94e-01  -5.7 1.40e-01  -2.8 1.00e+00 8.14e-02h  1\n",
      "  17  3.3681948e+02 4.01e-04 3.10e-01  -5.7 7.31e-02  -3.3 2.51e-01 3.38e-01h  1\n",
      "  18  3.3676004e+02 1.26e-04 1.78e-01  -5.7 5.02e-02  -3.8 7.05e-01 7.83e-01h  1\n",
      "  19  3.3674176e+02 0.00e+00 1.22e-02  -5.7 1.15e-02  -4.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  3.3674147e+02 0.00e+00 2.65e-04  -5.7 1.42e-03  -4.7 1.00e+00 1.00e+00h  1\n",
      "  21  3.3674147e+02 0.00e+00 1.32e-05  -5.7 3.08e-04  -5.2 1.00e+00 1.00e+00h  1\n",
      "  22  3.3674080e+02 6.58e-13 1.43e+02  -8.6 1.30e-02  -5.7 9.31e-01 9.56e-01h  1\n",
      "  23  3.3674078e+02 0.00e+00 5.15e+01  -8.6 8.26e-03  -6.2 1.00e+00 7.90e-01h  1\n",
      "  24  3.3674077e+02 0.00e+00 2.53e-06  -8.6 5.51e-03  -6.7 1.00e+00 1.00e+00f  1\n",
      "  25  3.3674077e+02 0.00e+00 1.86e-09  -8.6 2.21e-03  -7.1 1.00e+00 1.00e+00h  1\n",
      "  26  3.3674077e+02 0.00e+00 2.32e-09  -9.0 1.15e-03  -7.6 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.5832798625862118e+01    3.3674076806771507e+02\n",
      "Dual infeasibility......:   2.3192825437945430e-09    1.7040133017814987e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.2936936875637936e-09    2.4199284690945575e-08\n",
      "Overall NLP error.......:   3.2936936875637936e-09    2.4199284690945575e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.623\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (222.22us)   5.16ms (191.11us)        27\n",
      "       nlp_g  |   5.00ms (185.19us)   4.68ms (173.44us)        27\n",
      "    nlp_grad  |        0 (       0) 751.00us (751.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (571.43us)  14.52ms (518.61us)        28\n",
      "  nlp_hess_l  | 361.00ms ( 13.88ms) 363.28ms ( 13.97ms)        26\n",
      "   nlp_jac_g  | 110.00ms (  3.93ms) 110.86ms (  3.96ms)        28\n",
      "       total  | 624.00ms (624.00ms) 624.23ms (624.23ms)         1\n",
      "[6.58942, 6.62534, 7.71394, 1, 1, -1, 0.000338965, -0.000338563, 0.00260321, 0.00136151, -0.00135573, 0.00196539]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.1980515e+02 1.70e-02 1.98e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.2213283e+02 0.00e+00 4.72e+00  -1.0 2.29e-01  -4.0 2.95e-01 4.19e-01f  1\n",
      "   2  3.2538469e+02 0.00e+00 5.52e+00  -1.0 1.96e-01  -4.5 6.23e-01 8.90e-01f  1\n",
      "   3  3.2850096e+02 0.00e+00 7.83e+00  -1.0 1.82e-01  -5.0 8.32e-01 7.75e-01f  1\n",
      "   4  3.3202541e+02 0.00e+00 6.99e+00  -1.0 1.33e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  3.3221082e+02 0.00e+00 6.60e+02  -1.0 1.20e-02  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  3.3221350e+02 0.00e+00 1.00e-06  -1.0 1.74e-04  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  3.2481602e+02 0.00e+00 2.19e+06  -5.7 3.97e-01  -6.9 6.86e-01 1.00e+00f  1\n",
      "   8  3.2216196e+02 1.48e-03 6.49e+05  -5.7 1.13e-01  -7.3 7.03e-01 9.71e-01h  1\n",
      "   9  3.2077133e+02 9.43e-04 8.83e+04  -5.7 8.58e-02  -7.8 8.64e-01 8.74e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  3.2043766e+02 5.62e-05 1.39e+04  -5.7 1.77e-02   0.0 8.43e-01 9.23e-01h  1\n",
      "  11  3.2019748e+02 0.00e+00 3.51e+03  -5.7 6.48e-02  -0.4 7.47e-01 7.14e-01h  1\n",
      "  12  3.2009516e+02 1.01e-05 4.13e+02  -5.7 2.66e-02  -0.0 8.82e-01 6.11e-01h  1\n",
      "  13  3.1999195e+02 6.22e-06 9.15e-02  -5.7 1.54e-01  -0.5 1.00e+00 1.78e-01f  1\n",
      "  14  3.1991988e+02 0.00e+00 7.07e-02  -5.7 3.47e-02  -0.1 1.00e+00 3.96e-01h  1\n",
      "  15  3.1986157e+02 3.83e-05 6.97e-02  -5.7 1.78e-01  -0.6 1.00e+00 1.07e-01h  1\n",
      "  16  3.1979746e+02 4.90e-05 1.38e-01  -5.7 2.72e-01  -1.0 1.00e+00 7.77e-02h  1\n",
      "  17  3.1973280e+02 7.81e-05 2.17e-01  -5.7 3.16e-01  -1.5 1.00e+00 6.54e-02h  1\n",
      "  18  3.1966503e+02 1.44e-04 2.43e-01  -5.7 3.44e-01  -2.0 1.00e+00 7.61e-02h  1\n",
      "  19  3.1958907e+02 2.87e-04 2.07e-01  -5.7 3.90e-01  -2.5 8.30e-01 1.31e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  3.1954946e+02 3.08e-04 2.49e-01  -5.7 3.41e-01  -2.9 3.57e-01 1.09e-01h  1\n",
      "  21  3.1951134e+02 3.48e-04 2.64e-01  -5.7 3.38e-01  -3.4 9.11e-01 1.50e-01h  1\n",
      "  22  3.1948343e+02 3.19e-04 2.10e-01  -5.7 2.17e-01  -3.9 3.02e-01 1.96e-01h  1\n",
      "  23  3.1947418e+02 2.90e-04 1.90e-01  -5.7 1.14e-01  -4.4 9.96e-01 9.62e-02h  1\n",
      "  24  3.1944226e+02 1.99e-04 1.14e-01  -5.7 8.98e-02  -4.8 1.00e+00 5.16e-01h  1\n",
      "  25  3.1942450e+02 7.99e-05 5.53e-02  -5.7 3.68e-02  -5.3 1.00e+00 6.51e-01h  1\n",
      "  26  3.1942196e+02 5.58e-05 4.20e-02  -5.7 1.12e-02  -5.8 5.59e-01 2.54e-01f  1\n",
      "  27  3.1941500e+02 0.00e+00 6.77e-03  -5.7 6.76e-03  -6.3 9.26e-01 1.00e+00f  1\n",
      "  28  3.1941488e+02 0.00e+00 2.42e-04  -5.7 4.79e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  29  3.1941484e+02 0.00e+00 4.43e-05  -5.7 2.47e-03  -7.2 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  3.1941484e+02 0.00e+00 2.33e-06  -5.7 5.88e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  31  3.1941411e+02 1.09e-10 1.78e+02  -8.6 1.44e-02  -8.2 8.83e-01 8.18e-01h  1\n",
      "  32  3.1941396e+02 0.00e+00 1.84e+01  -8.6 1.08e-02  -8.7 9.03e-01 9.01e-01h  1\n",
      "  33  3.1941394e+02 0.00e+00 2.22e-06  -8.6 5.77e-03  -9.1 1.00e+00 1.00e+00f  1\n",
      "  34  3.1941394e+02 0.00e+00 8.90e-08  -8.6 2.78e-03  -9.6 1.00e+00 1.00e+00h  1\n",
      "  35  3.1941394e+02 0.00e+00 5.99e-10  -8.6 1.25e-03 -10.1 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 35\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.2496859630659728e+01    3.1941394093058602e+02\n",
      "Dual infeasibility......:   5.9932148133157170e-10    5.8907733981736640e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.6061179453386548e-09    4.5273860367837796e-08\n",
      "Overall NLP error.......:   4.6061179453386548e-09    4.5273860367837796e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 36\n",
      "Number of objective gradient evaluations             = 36\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 36\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 36\n",
      "Number of Lagrangian Hessian evaluations             = 35\n",
      "Total seconds in IPOPT                               = 0.823\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms ( 83.33us)   6.31ms (175.19us)        36\n",
      "       nlp_g  |   3.00ms ( 83.33us)   6.05ms (168.03us)        36\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 797.00us (797.00us)         1\n",
      "  nlp_grad_f  |  21.00ms (567.57us)  18.35ms (495.89us)        37\n",
      "  nlp_hess_l  | 490.00ms ( 14.00ms) 489.22ms ( 13.98ms)        35\n",
      "   nlp_jac_g  | 137.00ms (  3.70ms) 138.82ms (  3.75ms)        37\n",
      "       total  | 825.00ms (825.00ms) 824.68ms (824.68ms)         1\n",
      "[6.78896, 6.82593, 7.91381, 1, 1, -1, 0.000611134, -0.000609843, 0.0029962, 0.00216919, -0.00213204, 0.00385053]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.0440474e+02 2.55e-02 1.68e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.0632427e+02 0.00e+00 2.65e+00  -1.0 2.32e-01  -4.0 2.92e-01 4.02e-01f  1\n",
      "   2  3.0888726e+02 9.51e-06 6.60e+00  -1.0 2.01e-01  -4.5 5.63e-01 8.39e-01f  1\n",
      "   3  3.1121447e+02 0.00e+00 2.96e+01  -1.0 2.16e-01  -5.0 9.93e-01 6.95e-01f  1\n",
      "   4  3.1686932e+02 0.00e+00 3.71e+00  -1.0 2.94e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  3.1626044e+02 0.00e+00 3.32e+02  -1.0 5.53e-02  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  3.1625104e+02 0.00e+00 3.21e-05  -1.0 9.48e-04  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  3.0900683e+02 0.00e+00 1.19e+06  -5.7 4.91e-01  -6.9 6.55e-01 1.00e+00f  1\n",
      "   8  3.0673441e+02 1.25e-03 3.08e+05  -5.7 1.14e-01  -7.3 7.41e-01 9.72e-01h  1\n",
      "   9  3.0545261e+02 1.04e-03 7.68e+04  -5.7 9.96e-02  -7.8 7.51e-01 7.74e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  3.0507419e+02 8.57e-05 1.28e+04  -5.7 2.17e-02   0.0 8.34e-01 1.00e+00h  1\n",
      "  11  3.0480991e+02 0.00e+00 2.11e+03  -5.7 3.65e-02  -0.4 8.35e-01 6.75e-01h  1\n",
      "  12  3.0474260e+02 0.00e+00 1.13e+02  -5.7 1.32e-02  -0.0 9.46e-01 6.17e-01h  1\n",
      "  13  3.0463998e+02 0.00e+00 1.86e+01  -5.7 6.94e-02  -0.5 8.36e-01 5.17e-01h  1\n",
      "  14  3.0459129e+02 0.00e+00 4.01e-02  -5.7 2.39e-02  -0.1 1.00e+00 4.79e-01h  1\n",
      "  15  3.0450510e+02 0.00e+00 7.66e-02  -5.7 1.59e-01  -0.6 1.00e+00 2.05e-01h  1\n",
      "  16  3.0447549e+02 0.00e+00 6.62e-02  -5.7 3.35e-02  -0.1 1.00e+00 1.98e-01h  1\n",
      "  17  3.0443518e+02 0.00e+00 5.83e-02  -5.7 1.99e-01  -0.6 1.00e+00 7.93e-02h  1\n",
      "  18  3.0435848e+02 0.00e+00 3.26e-02  -5.7 3.71e-02  -0.2 1.00e+00 5.10e-01h  1\n",
      "  19  3.0433339e+02 2.05e-05 3.32e-02  -5.7 3.20e-01  -0.7 7.44e-01 3.18e-02h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  3.0429174e+02 2.37e-05 1.75e-01  -5.7 8.67e-01  -1.1 5.41e-01 2.27e-02h  1\n",
      "  21  3.0422064e+02 5.63e-05 4.17e-01  -5.7 4.44e-01  -1.6 7.79e-01 5.73e-02h  1\n",
      "  22  3.0415502e+02 1.15e-04 1.31e-01  -5.7 3.74e-01  -2.1 8.02e-01 7.34e-02h  1\n",
      "  23  3.0407358e+02 2.57e-04 1.66e-01  -5.7 3.41e-01  -2.6 4.03e-01 1.47e-01h  1\n",
      "  24  3.0405219e+02 2.54e-04 1.73e-01  -5.7 2.71e-01  -3.0 4.80e-01 5.83e-02h  1\n",
      "  25  3.0399602e+02 3.88e-04 2.41e-01  -5.7 2.66e-01  -3.5 1.00e+00 2.21e-01h  1\n",
      "  26  3.0398643e+02 3.68e-04 2.32e-01  -5.7 1.73e-01  -4.0 4.97e-01 5.74e-02h  1\n",
      "  27  3.0396363e+02 3.15e-04 2.51e-01  -5.7 2.27e-01  -4.5 1.00e+00 1.78e-01h  1\n",
      "  28  3.0393719e+02 2.87e-04 1.77e-01  -5.7 1.43e-01  -4.9 7.82e-01 3.92e-01h  1\n",
      "  29  3.0392038e+02 1.03e-04 1.01e-01  -5.7 6.53e-02  -5.4 5.88e-01 5.65e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  3.0391432e+02 4.47e-05 5.09e-02  -5.7 9.21e-03  -5.9 1.00e+00 4.98e-01f  1\n",
      "  31  3.0390881e+02 0.00e+00 2.47e-03  -5.7 8.73e-03  -6.4 1.00e+00 1.00e+00f  1\n",
      "  32  3.0390864e+02 0.00e+00 1.31e-06  -5.7 1.95e-04  -6.9 1.00e+00 1.00e+00h  1\n",
      "  33  3.0390768e+02 1.25e-10 1.20e+02  -8.6 1.52e-02  -7.3 9.16e-01 9.67e-01h  1\n",
      "  34  3.0390764e+02 1.16e-10 1.11e+01  -8.6 1.02e-02  -7.8 1.00e+00 8.57e-01h  1\n",
      "  35  3.0390763e+02 0.00e+00 3.05e-05  -8.6 6.37e-03  -8.3 1.00e+00 1.00e+00f  1\n",
      "  36  3.0390763e+02 0.00e+00 4.62e-07  -8.6 2.70e-03  -8.8 1.00e+00 1.00e+00h  1\n",
      "  37  3.0390763e+02 0.00e+00 2.41e-10  -8.6 1.18e-03  -9.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 37\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.6156079101971436e+01    3.0390763006788490e+02\n",
      "Dual infeasibility......:   2.4112356555860970e-10    2.8016160632008539e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.1025128019194443e-09    4.7667119299257806e-08\n",
      "Overall NLP error.......:   4.1025128019194443e-09    4.7667119299257806e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 38\n",
      "Number of objective gradient evaluations             = 38\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 38\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 38\n",
      "Number of Lagrangian Hessian evaluations             = 37\n",
      "Total seconds in IPOPT                               = 0.877\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  10.00ms (263.16us)   7.39ms (194.37us)        38\n",
      "       nlp_g  |   9.00ms (236.84us)   6.51ms (171.45us)        38\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 907.00us (907.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (384.62us)  20.13ms (516.08us)        39\n",
      "  nlp_hess_l  | 512.00ms ( 13.84ms) 511.53ms ( 13.83ms)        37\n",
      "   nlp_jac_g  | 154.00ms (  3.95ms) 150.10ms (  3.85ms)        39\n",
      "       total  | 878.00ms (878.00ms) 878.17ms (878.17ms)         1\n",
      "[6.98848, 7.02665, 8.11356, 1, 0.999995, -1, 0.0010445, -0.00103672, 0.00376604, 0.00527136, -0.00522282, 0.00494906]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.9167423e+02 1.71e-01 9.73e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.9319172e+02 0.00e+00 9.67e-01  -1.0 2.45e-01  -4.0 2.84e-01 3.80e-01f  1\n",
      "   2  2.9451406e+02 8.58e-04 5.92e+00  -1.0 2.12e-01  -4.5 6.83e-01 7.32e-01f  1\n",
      "   3  2.9739809e+02 0.00e+00 4.40e+00  -1.0 4.36e-01  -5.0 6.72e-01 7.12e-01f  1\n",
      "   4  3.0618542e+02 0.00e+00 1.26e+01  -1.0 7.49e-01  -5.4 1.00e+00 9.90e-01H  1\n",
      "   5  3.0598195e+02 0.00e+00 1.95e+02  -1.0 1.67e-01  -5.9 1.00e+00 9.91e-01H  1\n",
      "   6  3.0593848e+02 0.00e+00 8.41e-03  -1.0 2.81e-02  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.9678348e+02 0.00e+00 6.19e+05  -5.7 5.65e-01  -6.9 7.07e-01 1.00e+00f  1\n",
      "   8  2.9311981e+02 0.00e+00 2.87e+05  -5.7 4.47e-01  -7.3 5.37e-01 9.17e-01h  1\n",
      "   9  2.9202451e+02 7.57e-04 7.85e+04  -5.7 1.02e-01  -7.8 7.26e-01 9.65e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.9116105e+02 7.06e-04 1.32e+04  -5.7 8.29e-02  -8.3 8.32e-01 9.26e-01h  1\n",
      "  11  2.9096815e+02 7.95e-05 1.42e+03  -5.7 1.99e-02  -0.4 8.92e-01 1.00e+00h  1\n",
      "  12  2.9087327e+02 9.78e-06 3.92e+02  -5.7 6.38e-02  -0.9 7.24e-01 6.72e-01h  1\n",
      "  13  2.9082272e+02 0.00e+00 1.92e+01  -5.7 2.61e-02  -0.5 9.51e-01 6.13e-01h  1\n",
      "  14  2.9075137e+02 0.00e+00 1.55e+01  -5.7 1.03e+00  -1.0 1.89e-01 6.33e-02h  1\n",
      "  15  2.9072253e+02 0.00e+00 2.83e-02  -5.7 5.52e-02  -0.6 1.00e+00 1.17e-01h  1\n",
      "  16  2.9066598e+02 0.00e+00 2.28e-02  -5.7 1.64e-02  -0.1 1.00e+00 4.67e-01h  1\n",
      "  17  2.9059956e+02 0.00e+00 1.68e-02  -5.7 5.07e-02  -0.6 1.00e+00 3.44e-01h  1\n",
      "  18  2.9051541e+02 0.00e+00 1.09e-02  -5.7 1.63e-02  -0.2 1.00e+00 1.00e+00h  1\n",
      "  19  2.9049976e+02 0.00e+00 2.87e-02  -5.7 8.40e-02  -0.7 1.00e+00 6.73e-02h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.9048058e+02 0.00e+00 4.59e-02  -5.7 5.88e-01  -1.1 3.95e-01 1.76e-02h  1\n",
      "  21  2.9043375e+02 0.00e+00 2.50e-02  -5.7 6.42e-02  -0.7 1.00e+00 2.80e-01h  1\n",
      "  22  2.9038293e+02 0.00e+00 3.81e-02  -5.7 2.05e-01  -1.2 8.18e-01 1.27e-01h  1\n",
      "  23  2.9032568e+02 0.00e+00 6.90e-02  -5.7 4.02e-01  -1.7 1.00e+00 9.84e-02h  1\n",
      "  24  2.9025860e+02 0.00e+00 8.79e-02  -5.7 3.51e-01  -2.1 1.00e+00 1.60e-01h  1\n",
      "  25  2.9022760e+02 0.00e+00 8.79e-02  -5.7 2.24e-01  -2.6 7.42e-01 1.17e-01h  1\n",
      "  26  2.9018032e+02 0.00e+00 1.40e-01  -5.7 2.12e-01  -3.1 1.00e+00 2.48e-01h  1\n",
      "  27  2.9016206e+02 0.00e+00 1.28e-01  -5.7 9.39e-02  -3.6 9.94e-01 1.90e-01h  1\n",
      "  28  2.9014546e+02 0.00e+00 7.39e-02  -5.7 8.86e-02  -4.0 1.00e+00 4.43e-01h  1\n",
      "  29  2.9013493e+02 0.00e+00 2.64e-02  -5.7 4.81e-02  -4.5 1.00e+00 7.18e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.9013012e+02 0.00e+00 1.07e-03  -5.7 1.02e-02  -5.0 1.00e+00 1.00e+00f  1\n",
      "  31  2.9013005e+02 0.00e+00 9.61e-05  -5.7 4.15e-03  -5.5 1.00e+00 1.00e+00h  1\n",
      "  32  2.9013003e+02 0.00e+00 5.25e-06  -5.7 9.11e-04  -6.0 1.00e+00 1.00e+00h  1\n",
      "  33  2.9012885e+02 5.78e-07 4.64e+01  -8.6 1.77e-02  -6.4 8.99e-01 8.16e-01h  1\n",
      "  34  2.9012862e+02 1.27e-07 1.03e+01  -8.6 1.53e-02  -6.9 9.35e-01 8.64e-01h  1\n",
      "  35  2.9012858e+02 6.03e-10 1.84e-06  -8.6 8.58e-03  -7.4 1.00e+00 1.00e+00f  1\n",
      "  36  2.9012858e+02 0.00e+00 9.56e-11  -8.6 3.87e-03  -7.9 1.00e+00 1.00e+00h  1\n",
      "  37  2.9012857e+02 0.00e+00 9.86e-10  -9.0 2.00e-03  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 37\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.4654147108649020e+01    2.9012857439442922e+02\n",
      "Dual infeasibility......:   9.8579544527410690e-10    1.9517166373544443e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.5967582250838440e-09    7.1210035531110246e-08\n",
      "Overall NLP error.......:   3.5967582250838440e-09    7.1210035531110246e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 40\n",
      "Number of objective gradient evaluations             = 38\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 40\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 38\n",
      "Number of Lagrangian Hessian evaluations             = 37\n",
      "Total seconds in IPOPT                               = 0.875\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   8.00ms (200.00us)   7.13ms (178.22us)        40\n",
      "       nlp_g  |  10.00ms (250.00us)   6.75ms (168.87us)        40\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 770.00us (770.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (384.62us)  19.60ms (502.51us)        39\n",
      "  nlp_hess_l  | 521.00ms ( 14.08ms) 516.13ms ( 13.95ms)        37\n",
      "   nlp_jac_g  | 149.00ms (  3.82ms) 147.39ms (  3.78ms)        39\n",
      "       total  | 876.00ms (876.00ms) 875.96ms (875.96ms)         1\n",
      "[7.18793, 7.22761, 8.31315, 1, 1, -1, 0.00209775, -0.00208232, 0.00475476, 0.010715, -0.0105079, 0.00991807]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.8016747e+02 3.46e-01 9.42e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.8092291e+02 1.37e-01 2.66e+00  -1.0 2.54e-01  -4.0 2.71e-01 3.32e-01f  1\n",
      "   2  2.8106396e+02 2.50e-03 2.22e+00  -1.0 2.24e-01  -4.5 6.07e-01 5.86e-01f  1\n",
      "   3  2.8210377e+02 0.00e+00 4.35e+00  -1.0 4.42e-01  -5.0 6.10e-01 5.49e-01f  1\n",
      "   4  2.9004496e+02 0.00e+00 2.36e+01  -1.0 1.64e+00  -5.4 6.48e-01 6.80e-01F  1\n",
      "   5  2.9247355e+02 0.00e+00 2.49e+00  -1.0 2.90e-01  -5.9 1.00e+00 9.90e-01H  1\n",
      "   6  2.9289728e+02 0.00e+00 2.30e+02  -1.0 1.04e-01  -6.4 1.00e+00 9.91e-01H  1\n",
      "   7  2.9292039e+02 0.00e+00 8.86e-05  -1.0 1.21e-03  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.8423413e+02 0.00e+00 7.30e+05  -5.7 5.25e-01  -7.3 7.11e-01 1.00e+00f  1\n",
      "   9  2.8017069e+02 8.80e-04 4.39e+05  -5.7 5.82e-01  -7.8 3.98e-01 9.72e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.7957065e+02 2.62e-04 1.46e+05  -5.7 1.32e-01  -8.3 6.69e-01 1.00e+00h  1\n",
      "  11  2.7907921e+02 3.13e-04 4.63e+04  -5.7 8.75e-02  -8.8 6.82e-01 7.76e-01h  1\n",
      "  12  2.7880631e+02 2.09e-04 1.07e+04  -5.7 3.82e-02  -0.9 7.70e-01 1.00e+00h  1\n",
      "  13  2.7872011e+02 3.24e-05 6.37e+02  -5.7 1.76e-02  -0.5 9.40e-01 8.92e-01h  1\n",
      "  14  2.7866995e+02 0.00e+00 2.52e+02  -5.7 1.29e-01  -1.0 6.04e-01 5.52e-01h  1\n",
      "  15  2.7859703e+02 2.11e-05 2.03e+01  -5.7 4.21e-02  -0.6 9.20e-01 5.18e-01h  1\n",
      "  16  2.7856584e+02 1.97e-05 1.40e+01  -5.7 7.98e-01  -1.0 3.10e-01 2.27e-02h  1\n",
      "  17  2.7851760e+02 0.00e+00 3.15e-02  -5.7 4.78e-02  -0.6 1.00e+00 3.76e-01h  1\n",
      "  18  2.7848807e+02 0.00e+00 1.73e-02  -5.7 1.61e-02  -0.2 1.00e+00 5.01e-01h  1\n",
      "  19  2.7843621e+02 0.00e+00 1.97e-02  -5.7 4.60e-02  -0.7 1.00e+00 5.28e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.7843139e+02 0.00e+00 2.78e-02  -5.7 1.64e-02  -0.2 1.00e+00 1.19e-01h  1\n",
      "  21  2.7835872e+02 0.00e+00 3.88e-02  -5.7 4.03e-02  -0.7 1.00e+00 9.99e-01f  1\n",
      "  22  2.7832889e+02 0.00e+00 8.60e-03  -5.7 1.64e-02  -0.3 1.00e+00 1.00e+00f  1\n",
      "  23  2.7825413e+02 8.23e-07 6.10e-02  -5.7 6.00e-02  -0.8 1.00e+00 9.68e-01h  1\n",
      "  24  2.7825115e+02 3.12e-05 5.91e-02  -5.7 2.56e-02  -0.3 1.00e+00 3.19e-02h  1\n",
      "  25  2.7823308e+02 2.88e-05 5.48e-02  -5.7 1.02e-01  -0.8 9.36e-01 8.28e-02f  1\n",
      "  26  2.7820269e+02 2.82e-05 5.54e-02  -5.7 7.23e-01  -1.3 2.97e-01 2.91e-02h  1\n",
      "  27  2.7816749e+02 2.81e-05 8.20e-02  -5.7 4.95e+00  -1.8 4.45e-02 6.52e-03h  1\n",
      "  28  2.7812251e+02 2.79e-05 1.27e-01  -5.7 1.09e+00  -2.2 6.31e-01 4.26e-02h  1\n",
      "  29  2.7806065e+02 9.21e-05 6.67e-02  -5.7 4.64e-01  -2.7 1.00e+00 1.41e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.7801791e+02 1.89e-04 1.25e-01  -5.7 2.52e-01  -3.2 7.83e-01 1.80e-01h  1\n",
      "  31  2.7798776e+02 1.78e-04 1.24e-01  -5.7 1.78e-01  -3.7 1.00e+00 2.20e-01h  1\n",
      "  32  2.7797034e+02 3.12e-03 1.21e-01  -5.7 4.83e-02  -4.1 1.00e+00 3.04e-01h  1\n",
      "  33  2.7795104e+02 2.32e-03 8.45e-02  -5.7 2.91e-02  -4.6 1.00e+00 6.14e-01h  1\n",
      "  34  2.7793683e+02 0.00e+00 4.84e-03  -5.7 1.14e-02  -5.1 1.00e+00 1.00e+00f  1\n",
      "  35  2.7793671e+02 0.00e+00 6.40e-05  -5.7 5.50e-04  -5.6 1.00e+00 1.00e+00h  1\n",
      "  36  2.7793671e+02 0.00e+00 1.29e-09  -5.7 5.94e-06  -6.1 1.00e+00 1.00e+00h  1\n",
      "  37  2.7793562e+02 7.21e-05 4.26e+00  -8.6 1.79e-02  -6.5 8.97e-01 9.05e-01f  1\n",
      "  38  2.7793534e+02 7.81e-06 3.46e-01  -8.6 1.46e-02  -7.0 9.94e-01 1.00e+00h  1\n",
      "  39  2.7793532e+02 0.00e+00 3.50e-07  -8.6 7.22e-03  -7.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  40  2.7793532e+02 0.00e+00 3.85e-11  -8.6 3.50e-03  -8.0 1.00e+00 1.00e+00h  1\n",
      "  41  2.7793532e+02 0.00e+00 6.33e-09  -9.0 1.82e-03  -8.4 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 41\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.3250951337063826e+01    2.7793531978733927e+02\n",
      "Dual infeasibility......:   6.3317813214780472e-09    1.3280749597850750e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.0133971132566267e-09    6.3205234780132185e-08\n",
      "Overall NLP error.......:   6.3317813214780472e-09    1.3280749597850750e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 45\n",
      "Number of objective gradient evaluations             = 42\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 45\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 42\n",
      "Number of Lagrangian Hessian evaluations             = 41\n",
      "Total seconds in IPOPT                               = 0.946\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  10.00ms (222.22us)   7.99ms (177.49us)        45\n",
      "       nlp_g  |  10.00ms (222.22us)   7.31ms (162.47us)        45\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 794.00us (794.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (441.86us)  20.82ms (484.12us)        43\n",
      "  nlp_hess_l  | 558.00ms ( 13.61ms) 554.78ms ( 13.53ms)        41\n",
      "   nlp_jac_g  | 166.00ms (  3.86ms) 163.59ms (  3.80ms)        43\n",
      "       total  | 947.00ms (947.00ms) 947.31ms (947.31ms)         1\n",
      "[7.38739, 7.42898, 8.51231, 1, 0.999989, -1, 0.00423663, -0.00418805, 0.00673397, 0.00554808, -0.00543385, 0.0359585]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.6880124e+02 3.35e-01 1.25e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.6943513e+02 1.93e-01 9.98e-01  -1.0 1.89e-01  -4.0 2.25e-01 2.41e-01f  1\n",
      "   2  2.7018039e+02 2.74e-03 8.10e-01  -1.0 1.89e-01  -4.5 4.79e-01 4.65e-01f  1\n",
      "   3  2.6945308e+02 0.00e+00 1.42e+00  -1.7 7.65e-02  -5.0 8.36e-01 9.90e-01h  1\n",
      "   4  2.6970991e+02 0.00e+00 8.44e+01  -1.7 2.29e-01  -5.4 8.19e-01 9.90e-01H  1\n",
      "   5  2.6977156e+02 0.00e+00 8.51e+01  -1.7 1.17e-01  -5.9 1.00e+00 9.98e-01H  1\n",
      "   6  2.6978869e+02 0.00e+00 2.77e-03  -1.7 8.31e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.6844357e+02 2.62e-04 1.06e+06  -5.7 3.37e-01  -6.9 7.73e-01 9.87e-01f  1\n",
      "   8  2.6820698e+02 0.00e+00 2.93e+05  -5.7 6.61e-02  -7.3 7.39e-01 1.00e+00h  1\n",
      "   9  2.6815369e+02 0.00e+00 1.48e+05  -5.7 9.18e-03   0.5 4.96e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.6808380e+02 0.00e+00 2.53e+04  -5.7 1.45e-02   0.0 8.29e-01 8.37e-01h  1\n",
      "  11  2.6800226e+02 0.00e+00 4.30e+03  -5.7 2.34e-02  -0.4 8.30e-01 6.85e-01h  1\n",
      "  12  2.6797972e+02 3.54e-06 3.26e-02  -5.7 8.00e-03  -0.0 1.00e+00 5.99e-01h  1\n",
      "  13  2.6794850e+02 4.00e-06 4.64e-02  -5.7 3.71e-02  -0.5 9.86e-01 3.70e-01h  1\n",
      "  14  2.6791408e+02 5.83e-08 2.02e-02  -5.7 1.21e-02  -0.1 1.00e+00 9.99e-01h  1\n",
      "  15  2.6782553e+02 0.00e+00 9.44e-02  -5.7 6.52e-02  -0.6 1.00e+00 6.34e-01f  1\n",
      "  16  2.6781083e+02 0.00e+00 8.03e-02  -5.7 2.09e-02  -0.1 1.00e+00 1.61e-01f  1\n",
      "  17  2.6773977e+02 0.00e+00 8.15e-02  -5.7 8.48e-02  -0.6 1.00e+00 2.80e-01f  1\n",
      "  18  2.6770861e+02 1.39e-06 6.06e-02  -5.7 2.49e-02  -0.2 1.00e+00 3.00e-01h  1\n",
      "  19  2.6769796e+02 1.34e-05 5.87e-02  -5.7 1.09e-01  -0.7 9.22e-01 3.54e-02h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.6765801e+02 1.46e-05 6.84e-02  -5.7 6.98e-01  -1.1 3.22e-01 3.01e-02h  1\n",
      "  21  2.6761666e+02 1.38e-05 1.21e-01  -5.7 3.64e+00  -1.6 7.77e-02 8.25e-03h  1\n",
      "  22  2.6754952e+02 6.18e-05 1.24e-01  -5.7 1.66e+00  -2.1 1.03e-01 2.64e-02h  1\n",
      "  23  2.6751238e+02 7.51e-05 1.27e-01  -5.7 6.36e-01  -2.6 1.44e-01 2.99e-02h  1\n",
      "  24  2.6744859e+02 2.06e-04 2.14e-01  -5.7 5.52e-01  -3.0 5.07e-01 8.38e-02h  1\n",
      "  25  2.6742737e+02 2.14e-04 2.30e-01  -5.7 2.77e-01  -3.5 4.41e-01 4.57e-02h  1\n",
      "  26  2.6735793e+02 7.40e-04 9.24e-01  -5.7 2.79e-01  -4.0 1.00e+00 2.77e-01h  1\n",
      "  27  2.6734052e+02 6.74e-04 8.38e-01  -5.7 1.37e-01  -4.5 5.54e-01 1.02e-01h  1\n",
      "  28  2.6731302e+02 9.27e-03 6.70e-01  -5.7 1.08e-01  -4.9 1.00e+00 2.68e-01h  1\n",
      "  29  2.6729430e+02 7.64e-03 4.58e-01  -5.7 5.20e-02  -5.4 1.00e+00 4.81e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.6726863e+02 1.39e-03 1.13e-01  -5.7 2.26e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "  31  2.6726758e+02 0.00e+00 4.09e-03  -5.7 4.37e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  32  2.6726748e+02 0.00e+00 1.07e-05  -5.7 2.70e-04  -6.9 1.00e+00 1.00e+00h  1\n",
      "  33  2.6726684e+02 0.00e+00 9.17e+01  -8.6 1.66e-02  -7.3 9.07e-01 7.40e-01h  1\n",
      "  34  2.6726659e+02 0.00e+00 1.59e+01  -8.6 1.46e-02  -7.8 9.30e-01 8.63e-01h  1\n",
      "  35  2.6726655e+02 0.00e+00 1.44e-05  -8.6 7.84e-03  -8.3 1.00e+00 1.00e+00h  1\n",
      "  36  2.6726655e+02 0.00e+00 4.95e-10  -8.6 3.52e-03  -8.8 1.00e+00 1.00e+00h  1\n",
      "  37  2.6726654e+02 0.00e+00 2.47e-09  -9.0 1.81e-03  -9.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 37\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.7325212920933488e+01    2.6726654410896748e+02\n",
      "Dual infeasibility......:   2.4679067678334832e-09    3.8071042245317938e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.7291109255467962e-09    5.7526946088243785e-08\n",
      "Overall NLP error.......:   3.7291109255467962e-09    5.7526946088243785e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 40\n",
      "Number of objective gradient evaluations             = 38\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 40\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 38\n",
      "Number of Lagrangian Hessian evaluations             = 37\n",
      "Total seconds in IPOPT                               = 0.852\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  12.00ms (300.00us)   6.81ms (170.20us)        40\n",
      "       nlp_g  |   5.00ms (125.00us)   6.18ms (154.42us)        40\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 801.00us (801.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (487.18us)  18.44ms (472.82us)        39\n",
      "  nlp_hess_l  | 501.00ms ( 13.54ms) 503.56ms ( 13.61ms)        37\n",
      "   nlp_jac_g  | 149.00ms (  3.82ms) 146.35ms (  3.75ms)        39\n",
      "       total  | 854.00ms (854.00ms) 853.36ms (853.36ms)         1\n",
      "[7.58687, 7.63117, 8.71062, 0.999939, 1, -0.970755, 0.00531614, -0.00530529, 0.0139211, -0.00910798, 0.00961165, 0.0610679]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.6694749e+02 1.05e+00 3.81e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.6986560e+02 2.28e-01 4.12e+01  -1.0 3.89e-01  -4.0 1.63e-01 7.18e-01f  1\n",
      "   2  2.6928927e+02 1.48e-01 3.31e+01  -1.0 3.29e-01  -4.5 4.72e-01 1.65e-01f  1\n",
      "   3  2.7423251e+02 0.00e+00 1.88e+01  -1.0 2.62e+00  -5.0 4.37e-01 3.92e-01f  1\n",
      "   4  2.6856373e+02 0.00e+00 9.18e+00  -1.0 8.20e-01  -5.4 9.25e-01 9.90e-01h  1\n",
      "   5  2.7527115e+02 0.00e+00 6.79e+01  -1.0 7.16e-01  -5.9 1.00e+00 9.90e-01h  1\n",
      "   6  2.7425022e+02 0.00e+00 2.44e+04  -1.0 2.19e-01  -6.4 9.65e-01 1.00e+00h  1\n",
      "   7  2.7499632e+02 0.00e+00 4.88e-01  -1.0 8.06e-02  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.6615716e+02 0.00e+00 9.38e+06  -5.7 4.81e-01  -7.3 6.50e-01 1.00e+00f  1\n",
      "   9  2.6115720e+02 0.00e+00 2.08e+06  -5.7 4.87e-01  -7.8 7.78e-01 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.5953959e+02 4.10e-04 1.16e+06  -5.7 4.20e-01  -8.3 4.41e-01 9.50e-01h  1\n",
      "  11  2.5933095e+02 8.40e-05 2.43e+05  -5.7 9.05e-02  -8.8 7.91e-01 1.00e+00h  1\n",
      "  12  2.5920927e+02 3.09e-05 1.04e+05  -5.7 3.03e-02  -0.9 5.74e-01 1.00e+00h  1\n",
      "  13  2.5907527e+02 0.00e+00 5.03e+04  -5.7 7.36e-02  -1.4 5.15e-01 1.00e+00h  1\n",
      "  14  2.5888481e+02 5.32e-06 8.18e+03  -5.7 5.00e-02  -1.0 8.38e-01 8.76e-01h  1\n",
      "  15  2.5881929e+02 1.68e-05 7.31e+03  -5.7 2.29e+00  -1.5 1.06e-01 2.29e-02h  1\n",
      "  16  2.5871883e+02 2.01e-05 5.28e+03  -5.7 6.49e-01  -1.9 2.78e-01 7.07e-02h  1\n",
      "  17  2.5857554e+02 1.20e-04 2.93e+03  -5.7 3.11e-01  -2.4 4.44e-01 2.05e-01h  1\n",
      "  18  2.5847353e+02 2.20e-04 1.16e+03  -5.7 1.49e-01  -2.9 6.05e-01 2.74e-01h  1\n",
      "  19  2.5840561e+02 2.61e-04 2.20e+02  -5.7 8.99e-02  -3.4 8.10e-01 3.37e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.5837441e+02 4.20e-03 1.45e-01  -5.7 4.61e-02  -3.8 1.00e+00 3.40e-01h  1\n",
      "  21  2.5833193e+02 4.36e-03 1.22e-01  -5.7 2.51e-02  -4.3 1.00e+00 9.02e-01h  1\n",
      "  22  2.5832253e+02 0.00e+00 4.83e-03  -5.7 5.66e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.5832244e+02 0.00e+00 6.54e-05  -5.7 8.24e-04  -5.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.5832243e+02 0.00e+00 6.58e-07  -5.7 1.07e-04  -5.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.5832089e+02 4.76e-05 6.59e+01  -8.6 1.96e-02  -6.2 8.80e-01 7.46e-01h  1\n",
      "  26  2.5832021e+02 4.19e-06 1.71e+01  -8.6 2.27e-02  -6.7 8.96e-01 8.15e-01h  1\n",
      "  27  2.5832003e+02 0.00e+00 2.65e-05  -8.6 1.33e-02  -7.2 1.00e+00 1.00e+00h  1\n",
      "  28  2.5832002e+02 1.49e-07 1.74e-05  -8.6 5.91e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  29  2.5832002e+02 0.00e+00 1.37e-06  -8.6 2.66e-03  -8.1 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.5832002e+02 0.00e+00 2.61e-08  -8.6 9.09e-04  -8.6 1.00e+00 1.00e+00h  1\n",
      "  31  2.5832002e+02 0.00e+00 1.13e-11  -8.6 1.38e-04  -9.1 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 31\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   6.1107780551234505e+00    2.5832002126149291e+02\n",
      "Dual infeasibility......:   1.1307843550412144e-11    4.7801480597303239e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.5118844695403350e-09    1.0618452244948449e-07\n",
      "Overall NLP error.......:   2.5118844695403350e-09    1.0618452244948449e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 32\n",
      "Number of objective gradient evaluations             = 32\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 32\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 32\n",
      "Number of Lagrangian Hessian evaluations             = 31\n",
      "Total seconds in IPOPT                               = 0.725\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (125.00us)   5.57ms (174.06us)        32\n",
      "       nlp_g  |   8.00ms (250.00us)   5.34ms (166.84us)        32\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 882.00us (882.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (454.55us)  15.88ms (481.15us)        33\n",
      "  nlp_hess_l  | 432.00ms ( 13.94ms) 433.84ms ( 13.99ms)        31\n",
      "   nlp_jac_g  | 119.00ms (  3.61ms) 122.43ms (  3.71ms)        33\n",
      "       total  | 726.00ms (726.00ms) 725.99ms (725.99ms)         1\n",
      "[7.78506, 7.83498, 8.90264, 1, 0.999986, -0.889208, 0.0034297, -0.00344789, 0.0261449, -0.0182746, 0.0180287, 0.0498558]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.5439965e+02 7.36e-01 6.22e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.5563022e+02 3.88e-01 4.74e+00  -1.0 3.08e-01  -4.0 1.58e-01 3.74e-01f  1\n",
      "   2  2.5673817e+02 0.00e+00 4.75e+00  -1.0 2.27e-01  -4.5 8.56e-01 8.17e-01f  1\n",
      "   3  2.6028817e+02 0.00e+00 3.09e+01  -1.0 8.36e-01  -5.0 6.36e-01 9.90e-01h  1\n",
      "   4  2.6036692e+02 0.00e+00 8.43e+01  -1.0 1.62e-01  -5.4 1.00e+00 9.90e-01h  1\n",
      "   5  2.6048000e+02 0.00e+00 1.76e-03  -1.0 2.48e-02  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.5453496e+02 0.00e+00 2.39e+05  -3.8 4.91e-01  -6.4 7.16e-01 1.00e+00f  1\n",
      "   7  2.5254410e+02 1.57e-04 4.74e+04  -3.8 3.31e-01  -6.9 8.02e-01 9.92e-01h  1\n",
      "   8  2.5217921e+02 0.00e+00 6.50e+03  -3.8 1.46e-01  -7.3 8.63e-01 1.00e+00h  1\n",
      "   9  2.5207481e+02 0.00e+00 2.08e+03  -3.8 1.08e-01  -1.5 6.80e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.5174454e+02 4.61e-05 2.18e+02  -3.8 9.04e-02  -1.1 8.95e-01 7.42e-01h  1\n",
      "  11  2.5155617e+02 5.23e-05 6.66e-02  -3.8 1.20e-01  -1.5 1.00e+00 4.83e-01h  1\n",
      "  12  2.5138705e+02 6.30e-05 7.24e-02  -3.8 7.53e-02  -2.0 1.00e+00 7.97e-01f  1\n",
      "  13  2.5133836e+02 0.00e+00 1.68e-02  -3.8 1.57e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.5133892e+02 0.00e+00 1.21e-04  -3.8 1.72e-03  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.5126570e+02 1.31e-03 8.44e+02  -5.7 2.42e-02  -3.5 7.83e-01 7.62e-01h  1\n",
      "  16  2.5124220e+02 4.12e-03 6.65e+02  -5.7 2.95e-02  -3.9 8.04e-01 8.91e-01h  1\n",
      "  17  2.5123550e+02 2.30e-03 1.29e-01  -5.7 2.52e-02  -4.4 1.00e+00 1.00e+00h  1\n",
      "  18  2.5123100e+02 0.00e+00 7.95e-03  -5.7 2.27e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.5123067e+02 0.00e+00 1.28e-03  -5.7 2.59e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.5123063e+02 0.00e+00 8.11e-07  -5.7 6.81e-05  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.5122955e+02 0.00e+00 5.76e+01  -8.6 1.89e-02  -6.3 8.89e-01 7.72e-01h  1\n",
      "  22  2.5122919e+02 0.00e+00 5.79e+00  -8.6 1.87e-02  -6.8 9.32e-01 9.16e-01h  1\n",
      "  23  2.5122914e+02 1.18e-06 8.66e-05  -8.6 9.62e-03  -7.3 1.00e+00 1.00e+00f  1\n",
      "  24  2.5122914e+02 0.00e+00 2.30e-06  -8.6 4.55e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.5122914e+02 0.00e+00 1.32e-09  -8.6 2.02e-03  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   8.9070295982816479e+00    2.5122913538444246e+02\n",
      "Dual infeasibility......:   1.3153146349864642e-09    3.7099389292464312e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.4283663740418053e-09    1.2490523838954038e-07\n",
      "Overall NLP error.......:   4.4283663740418053e-09    1.2490523838954038e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.584\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (192.31us)   4.50ms (173.19us)        26\n",
      "       nlp_g  |   3.00ms (115.38us)   4.19ms (161.12us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 823.00us (823.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (481.48us)  12.91ms (478.04us)        27\n",
      "  nlp_hess_l  | 344.00ms ( 13.76ms) 346.24ms ( 13.85ms)        25\n",
      "   nlp_jac_g  |  99.00ms (  3.67ms)  98.95ms (  3.66ms)        27\n",
      "       total  | 585.00ms (585.00ms) 585.56ms (585.56ms)         1\n",
      "[7.98036, 8.04076, 9.07911, 1, 0.999993, -0.782892, -0.000259651, 0.000123646, 0.0361284, -0.0303752, 0.0286299, 0.0212013]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.5144724e+02 1.02e+00 4.38e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.5324127e+02 3.43e-01 1.42e+01  -1.0 4.00e-01  -4.0 1.29e-01 5.57e-01f  1\n",
      "   2  2.5265066e+02 0.00e+00 1.66e+01  -1.0 2.12e-01  -4.5 9.53e-01 9.90e-01h  1\n",
      "   3  2.5453277e+02 0.00e+00 3.77e+02  -1.0 7.26e-01  -5.0 8.24e-01 9.91e-01h  1\n",
      "   4  2.5410652e+02 0.00e+00 8.23e-02  -1.0 8.85e-02  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.4887296e+02 0.00e+00 5.83e+04  -3.8 4.30e-01  -5.9 7.39e-01 1.00e+00f  1\n",
      "   6  2.4678762e+02 8.79e-06 9.12e+03  -3.8 3.01e-01  -6.4 8.43e-01 1.00e+00h  1\n",
      "   7  2.4649752e+02 0.00e+00 1.41e+03  -3.8 1.08e-01  -6.9 8.45e-01 1.00e+00h  1\n",
      "   8  2.4641932e+02 0.00e+00 2.69e+02  -3.8 3.27e-02  -1.0 8.10e-01 1.00e+00h  1\n",
      "   9  2.4638053e+02 0.00e+00 1.94e-02  -3.8 1.85e-02  -0.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.4630440e+02 0.00e+00 3.83e-02  -3.8 4.58e-02  -1.1 1.00e+00 1.00e+00h  1\n",
      "  11  2.4622568e+02 0.00e+00 1.30e-02  -3.8 1.91e-02  -0.6 1.00e+00 1.00e+00h  1\n",
      "  12  2.4602514e+02 0.00e+00 3.83e-02  -3.8 8.11e-02  -1.1 1.00e+00 8.35e-01H  1\n",
      "  13  2.4592081e+02 1.03e-05 1.91e-02  -3.8 1.35e-01  -1.6 1.00e+00 4.29e-01f  1\n",
      "  14  2.4579750e+02 2.78e-05 3.10e-02  -3.8 9.51e-02  -2.1 1.00e+00 8.05e-01f  1\n",
      "  15  2.4574691e+02 0.00e+00 6.81e-03  -3.8 2.18e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.4574608e+02 0.00e+00 6.44e-05  -3.8 5.11e-03  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.4565533e+02 1.21e-03 8.95e+01  -5.7 3.02e-02  -3.5 8.19e-01 7.97e-01h  1\n",
      "  18  2.4562799e+02 2.93e-03 4.66e+01  -5.7 2.94e-02  -4.0 7.34e-01 8.17e-01h  1\n",
      "  19  2.4561942e+02 1.70e-03 2.25e+01  -5.7 2.34e-02  -4.5 1.00e+00 8.55e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.4561506e+02 0.00e+00 1.12e-02  -5.7 2.55e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.4561465e+02 0.00e+00 3.29e-04  -5.7 1.47e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.4561463e+02 0.00e+00 1.26e-06  -5.7 6.96e-05  -5.9 1.00e+00 1.00e+00h  1\n",
      "  23  2.4561323e+02 0.00e+00 3.39e+00  -8.6 1.95e-02  -6.4 8.82e-01 8.17e-01h  1\n",
      "  24  2.4561284e+02 0.00e+00 8.63e-02  -8.6 2.05e-02  -6.8 9.16e-01 9.37e-01h  1\n",
      "  25  2.4561279e+02 0.00e+00 1.92e-05  -8.6 1.04e-02  -7.3 1.00e+00 1.00e+00f  1\n",
      "  26  2.4561279e+02 0.00e+00 7.57e-08  -8.6 5.12e-03  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.4561279e+02 0.00e+00 3.77e-11  -8.6 2.27e-03  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   6.5866696799474020e+00    2.4561278735857476e+02\n",
      "Dual infeasibility......:   3.7687727938440219e-11    1.4053517722853006e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.3282496079020557e-09    1.6139771724349951e-07\n",
      "Overall NLP error.......:   4.3282496079020557e-09    1.6139771724349951e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.642\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (206.90us)   5.66ms (195.28us)        29\n",
      "       nlp_g  |   2.00ms ( 68.97us)   4.63ms (159.52us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.01ms (  1.01ms)         1\n",
      "  nlp_grad_f  |  18.00ms (620.69us)  16.03ms (552.72us)        29\n",
      "  nlp_hess_l  | 372.00ms ( 13.78ms) 370.12ms ( 13.71ms)        27\n",
      "   nlp_jac_g  | 113.00ms (  3.90ms) 110.43ms (  3.81ms)        29\n",
      "       total  | 644.00ms (644.00ms) 643.22ms (643.22ms)         1\n",
      "[8.17299, 8.24781, 9.23576, 1, 1, -0.66691, -0.00633417, 0.00585072, 0.0403672, -0.0568746, 0.0497649, -0.0242063]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.6786456e+02 2.19e+00 2.89e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.6645952e+02 2.25e-01 3.20e+01  -1.0 8.14e-01  -4.0 1.49e-01 8.07e-01f  1\n",
      "   2  2.5616143e+02 0.00e+00 3.77e+01  -1.0 2.29e-01  -4.5 7.90e-01 9.90e-01h  1\n",
      "   3  2.5093993e+02 0.00e+00 4.37e+02  -1.0 2.99e-01  -5.0 9.08e-01 9.92e-01h  1\n",
      "   4  2.5101884e+02 0.00e+00 2.03e-01  -1.0 2.32e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.4637148e+02 0.00e+00 1.04e+05  -3.8 2.89e-01  -5.9 7.99e-01 1.00e+00h  1\n",
      "   6  2.4251760e+02 0.00e+00 1.79e+04  -3.8 3.47e-01  -6.4 8.28e-01 1.00e+00h  1\n",
      "   7  2.4201512e+02 0.00e+00 8.09e+02  -3.8 1.45e-01  -6.9 9.55e-01 1.00e+00h  1\n",
      "   8  2.4164022e+02 0.00e+00 8.25e+01  -3.8 1.61e-01  -1.9 8.98e-01 9.49e-01H  1\n",
      "   9  2.4158522e+02 0.00e+00 3.44e+01  -3.8 7.53e-01  -2.4 5.83e-01 6.32e-02h  2\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.4146204e+02 0.00e+00 1.85e-02  -3.8 9.11e-02  -2.9 1.00e+00 1.00e+00h  1\n",
      "  11  2.4140514e+02 0.00e+00 9.73e-04  -3.8 1.70e-02  -3.4 1.00e+00 1.00e+00h  1\n",
      "  12  2.4124165e+02 0.00e+00 5.60e+02  -5.7 6.20e-02  -3.8 7.23e-01 8.66e-01h  1\n",
      "  13  2.4119282e+02 1.89e-03 2.74e+01  -5.7 3.62e-02  -4.3 8.74e-01 6.88e-01h  1\n",
      "  14  2.4116950e+02 1.57e-03 6.33e-02  -5.7 3.09e-02  -4.8 1.00e+00 1.00e+00h  1\n",
      "  15  2.4116542e+02 0.00e+00 1.13e-02  -5.7 1.78e-02  -5.3 1.00e+00 1.00e+00h  1\n",
      "  16  2.4116506e+02 0.00e+00 4.61e-04  -5.7 1.85e-03  -5.7 1.00e+00 1.00e+00h  1\n",
      "  17  2.4116503e+02 0.00e+00 1.56e-06  -5.7 1.32e-04  -6.2 1.00e+00 1.00e+00h  1\n",
      "  18  2.4116205e+02 1.36e-04 3.44e+00  -8.6 1.85e-02  -6.7 8.77e-01 9.47e-01h  1\n",
      "  19  2.4116156e+02 1.53e-05 5.66e-01  -8.6 2.60e-02  -7.2 8.93e-01 9.70e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.4116150e+02 9.06e-07 4.98e-05  -8.6 1.30e-02  -7.6 1.00e+00 1.00e+00f  1\n",
      "  21  2.4116150e+02 0.00e+00 3.30e-07  -8.6 6.78e-03  -8.1 1.00e+00 1.00e+00h  1\n",
      "  22  2.4116150e+02 0.00e+00 1.18e-09  -8.6 2.96e-03  -8.6 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.1512861119122535e+00    2.4116149871490975e+02\n",
      "Dual infeasibility......:   1.1840075586633247e-09    9.0609683537671584e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   4.0166473918183315e-09    3.0738583245697181e-07\n",
      "Overall NLP error.......:   4.0166473918183315e-09    3.0738583245697181e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.537\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 74.07us)   4.83ms (179.00us)        27\n",
      "       nlp_g  |   5.00ms (185.19us)   4.29ms (159.00us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 812.00us (812.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (541.67us)  11.75ms (489.62us)        24\n",
      "  nlp_hess_l  | 307.00ms ( 13.95ms) 309.52ms ( 14.07ms)        22\n",
      "   nlp_jac_g  |  92.00ms (  3.83ms)  92.93ms (  3.87ms)        24\n",
      "       total  | 539.00ms (539.00ms) 538.48ms (538.48ms)         1\n",
      "[8.36399, 8.45484, 9.37157, 1, 1, -0.547099, -0.0177378, 0.015773, 0.0354629, -0.0999968, 0.0999975, -0.0999984]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.4373750e+02 3.81e+00 2.51e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.1443521e+02 1.64e+00 1.21e+01  -1.0 1.46e+00  -4.0 1.79e-01 5.33e-01f  1\n",
      "   2  2.8474692e+02 2.56e-02 8.45e+00  -1.0 6.93e-01  -4.5 4.72e-01 8.40e-01f  1\n",
      "   3  2.6092398e+02 0.00e+00 3.68e+01  -1.0 3.38e-01  -5.0 7.17e-01 9.90e-01h  1\n",
      "   4  2.4992008e+02 0.00e+00 1.35e+00  -1.0 2.74e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.4683657e+02 0.00e+00 3.78e-01  -1.7 1.57e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.4070598e+02 0.00e+00 5.76e+04  -3.8 2.50e-01  -6.4 7.74e-01 1.00e+00h  1\n",
      "   7  2.3862442e+02 5.92e-04 7.58e+03  -3.8 1.80e-01  -6.9 8.68e-01 9.52e-01h  1\n",
      "   8  2.3835163e+02 0.00e+00 1.14e-02  -3.8 1.19e-01  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  2.3833575e+02 0.00e+00 3.07e-03  -3.8 1.05e-02  -1.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3829100e+02 0.00e+00 3.51e-03  -3.8 4.24e-02  -2.0 1.00e+00 1.00e+00h  1\n",
      "  11  2.3823732e+02 0.00e+00 3.93e-03  -3.8 2.04e-01  -2.4 1.00e+00 1.54e-01h  3\n",
      "  12  2.3811862e+02 0.00e+00 2.08e-03  -3.8 7.54e-02  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.3803020e+02 0.00e+00 8.99e-05  -3.8 1.70e-02  -3.4 1.00e+00 1.00e+00h  1\n",
      "  14  2.3782149e+02 6.83e-07 5.65e+01  -5.7 1.29e-01  -3.9 7.79e-01 7.49e-01h  1\n",
      "  15  2.3765036e+02 4.26e-03 4.30e+01  -5.7 4.79e-02  -4.4 8.07e-01 9.20e-01h  1\n",
      "  16  2.3762346e+02 0.00e+00 2.62e-02  -5.7 2.65e-02  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.3762114e+02 0.00e+00 1.98e-02  -5.7 1.48e-02  -5.3 1.00e+00 1.00e+00h  1\n",
      "  18  2.3762017e+02 0.00e+00 2.89e-04  -5.7 1.79e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  19  2.3762012e+02 0.00e+00 1.74e-06  -5.7 1.28e-04  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3761527e+02 4.50e-04 9.61e-01  -8.6 1.43e-02  -6.7 8.94e-01 9.34e-01h  1\n",
      "  21  2.3761437e+02 1.15e-04 2.36e-01  -8.6 3.40e-02  -7.2 8.90e-01 9.74e-01h  1\n",
      "  22  2.3761417e+02 3.38e-06 6.67e-05  -8.6 1.67e-02  -7.7 1.00e+00 1.00e+00h  1\n",
      "  23  2.3761415e+02 0.00e+00 1.71e-06  -8.6 8.64e-03  -8.2 1.00e+00 1.00e+00h  1\n",
      "  24  2.3761415e+02 0.00e+00 1.03e-10  -8.6 3.66e-03  -8.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.5463668958353205e+00    2.3761415286751370e+02\n",
      "Dual infeasibility......:   1.0254193327785543e-10    1.5756554718570174e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.6663203783425805e-09    5.6336540389412824e-07\n",
      "Overall NLP error.......:   3.6663203783425805e-09    5.6336540389412824e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 30\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 30\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.573\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (100.00us)   4.91ms (163.63us)        30\n",
      "       nlp_g  |   7.00ms (233.33us)   4.88ms (162.67us)        30\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 800.00us (800.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (615.38us)  12.45ms (479.04us)        26\n",
      "  nlp_hess_l  | 323.00ms ( 13.46ms) 325.83ms ( 13.58ms)        24\n",
      "   nlp_jac_g  |  96.00ms (  3.69ms)  98.06ms (  3.77ms)        26\n",
      "       total  | 574.00ms (574.00ms) 573.90ms (573.90ms)         1\n",
      "[8.55504, 8.65977, 9.48766, 0.999996, 0.996146, -0.41711, -0.0380582, 0.0354178, 0.0151091, -0.0999728, 0.0999832, -0.0999896]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.4448960e+02 7.95e-01 3.57e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.4651652e+02 0.00e+00 3.83e+01  -1.0 3.03e-01  -4.0 1.64e-01 9.90e-01f  1\n",
      "   2  2.4264216e+02 0.00e+00 8.86e+00  -1.0 9.46e-02  -4.5 1.00e+00 1.00e+00h  1\n",
      "   3  2.4026776e+02 0.00e+00 2.23e+03  -1.0 2.87e-01  -5.0 9.04e-01 1.00e+00f  1\n",
      "   4  2.4031456e+02 0.00e+00 3.21e-02  -1.0 2.66e-02  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.3742524e+02 0.00e+00 2.71e+03  -2.5 2.41e-01  -5.9 8.85e-01 1.00e+00f  1\n",
      "   6  2.3567828e+02 0.00e+00 4.92e-02  -2.5 2.14e-01  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.3565272e+02 0.00e+00 9.32e-03  -2.5 7.80e-02  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.3549828e+02 0.00e+00 4.09e-03  -3.8 4.53e-02  -7.3 1.00e+00 1.00e+00h  1\n",
      "   9  2.3550026e+02 0.00e+00 8.60e-04  -3.8 2.69e-04   0.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3549296e+02 0.00e+00 9.36e-04  -5.7 8.79e-04   0.0 1.00e+00 1.00e+00h  1\n",
      "  11  2.3549124e+02 0.00e+00 8.69e-04  -5.7 2.45e-03  -0.4 1.00e+00 1.00e+00h  1\n",
      "  12  2.3548606e+02 0.00e+00 3.41e-03  -5.7 8.44e-03  -0.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.3548147e+02 0.00e+00 1.12e-03  -5.7 3.55e-03  -0.5 1.00e+00 1.00e+00h  1\n",
      "  14  2.3546670e+02 0.00e+00 4.04e-03  -5.7 1.87e-02  -1.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.3544704e+02 0.00e+00 2.60e-03  -5.7 8.24e-03  -0.6 1.00e+00 1.00e+00h  1\n",
      "  16  2.3538397e+02 0.00e+00 1.73e-02  -5.7 4.47e-02  -1.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.3528081e+02 0.00e+00 2.62e-02  -5.7 1.94e-02  -0.6 1.00e+00 1.00e+00h  1\n",
      "  18  2.3524566e+02 0.00e+00 2.50e-02  -5.7 1.05e-01  -1.1 1.00e+00 9.18e-02h  1\n",
      "  19  2.3521617e+02 1.87e-06 2.51e-02  -5.7 9.15e-01  -1.6 2.77e-01 1.39e-02h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3517516e+02 2.56e-06 2.57e-02  -5.7 1.10e+02  -2.0 1.51e-03 3.03e-04f  1\n",
      "  21  2.3511016e+02 0.00e+00 2.51e-02  -5.7 2.51e-01  -1.6 1.00e+00 1.18e-01h  1\n",
      "  22  2.3503750e+02 0.00e+00 2.61e-02  -5.7 3.42e-01  -2.1 5.38e-01 1.03e-01h  1\n",
      "  23  2.3496607e+02 1.09e-05 2.28e-02  -5.7 3.15e-01  -2.6 1.00e+00 1.40e-01h  1\n",
      "  24  2.3490773e+02 3.81e-05 1.44e-02  -5.7 2.17e-01  -3.0 1.00e+00 2.11e-01h  1\n",
      "  25  2.3487564e+02 3.87e-05 1.17e-02  -5.7 1.35e-01  -3.5 1.00e+00 1.67e-01h  1\n",
      "  26  2.3482999e+02 1.11e-03 5.01e-02  -5.7 1.10e-01  -4.0 1.00e+00 5.36e-01h  1\n",
      "  27  2.3481857e+02 2.48e-05 3.63e-02  -5.7 3.54e-02  -4.5 1.00e+00 3.83e-01h  1\n",
      "  28  2.3480368e+02 0.00e+00 1.56e-02  -5.7 1.40e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  29  2.3480318e+02 0.00e+00 1.52e-04  -5.7 7.31e-04  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.3480318e+02 0.00e+00 5.90e-07  -5.7 5.02e-05  -5.9 1.00e+00 1.00e+00h  1\n",
      "  31  2.3480180e+02 1.42e-04 4.08e-02  -8.6 1.95e-02  -6.4 8.78e-01 9.69e-01h  1\n",
      "  32  2.3480157e+02 1.05e-05 4.22e-03  -8.6 2.05e-02  -6.9 9.23e-01 1.00e+00h  1\n",
      "  33  2.3480155e+02 0.00e+00 2.67e-06  -8.6 1.02e-02  -7.3 1.00e+00 1.00e+00h  1\n",
      "  34  2.3480154e+02 0.00e+00 2.00e-10  -8.6 5.29e-03  -7.8 1.00e+00 1.00e+00h  1\n",
      "  35  2.3480154e+02 0.00e+00 1.05e-08  -9.0 2.76e-03  -8.3 1.00e+00 1.00e+00h  1\n",
      "  36  2.3480154e+02 0.00e+00 5.94e-12  -9.0 1.16e-03  -8.8 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 36\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.9852793626142375e+00    2.3480154229041005e+02\n",
      "Dual infeasibility......:   5.9401372709544376e-12    2.7977436993730533e-10\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.2863550659852411e-09    6.0586003603222463e-08\n",
      "Overall NLP error.......:   1.2863550659852411e-09    6.0586003603222463e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 37\n",
      "Number of objective gradient evaluations             = 37\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 37\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 37\n",
      "Number of Lagrangian Hessian evaluations             = 36\n",
      "Total seconds in IPOPT                               = 0.831\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   9.00ms (243.24us)   6.77ms (183.08us)        37\n",
      "       nlp_g  |   7.00ms (189.19us)   6.25ms (169.00us)        37\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 848.00us (848.00us)         1\n",
      "  nlp_grad_f  |  17.00ms (447.37us)  20.11ms (529.29us)        38\n",
      "  nlp_hess_l  | 494.00ms ( 13.72ms) 492.31ms ( 13.68ms)        36\n",
      "   nlp_jac_g  | 141.00ms (  3.71ms) 141.78ms (  3.73ms)        38\n",
      "       total  | 833.00ms (833.00ms) 832.69ms (832.69ms)         1\n",
      "[8.74871, 8.85863, 9.58563, 0.958782, 0.949878, -0.301157, -0.0587877, 0.0546535, -0.00564823, -0.0260602, -0.0091256, -0.0572772]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  4.0564414e+02 4.90e+00 3.29e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.4320569e+02 3.04e+00 6.60e+00  -1.0 1.75e+00  -4.0 1.54e-01 3.48e-01f  1\n",
      "   2  2.6711348e+02 0.00e+00 1.22e+01  -1.0 1.15e+00  -4.5 5.31e-01 1.00e+00f  1\n",
      "   3  2.4938555e+02 0.00e+00 8.08e+00  -1.0 3.43e-01  -5.0 6.30e-01 1.00e+00f  1\n",
      "   4  2.4260859e+02 0.00e+00 8.57e-01  -1.0 3.18e-01  -5.4 1.00e+00 1.00e+00f  1\n",
      "   5  2.4045319e+02 0.00e+00 1.70e-01  -1.7 1.53e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.3565759e+02 0.00e+00 5.54e-02  -2.5 2.64e-01  -6.4 9.42e-01 1.00e+00h  1\n",
      "   7  2.3391491e+02 0.00e+00 1.39e-02  -2.5 1.74e-01  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.3331735e+02 0.00e+00 2.13e-03  -3.8 8.01e-02  -7.3 9.70e-01 1.00e+00h  1\n",
      "   9  2.3323956e+02 0.00e+00 1.61e-03  -3.8 7.01e-02  -7.8 1.00e+00 1.00e+00H  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3320312e+02 0.00e+00 6.19e-04  -3.8 1.88e-02  -2.0 1.00e+00 1.00e+00H  1\n",
      "  11  2.3307913e+02 1.06e-05 1.29e-02  -5.7 2.01e-01  -2.4 5.69e-01 5.38e-01h  1\n",
      "  12  2.3281885e+02 0.00e+00 5.18e-03  -5.7 1.28e-01  -2.9 7.31e-01 5.45e-01h  1\n",
      "  13  2.3262016e+02 0.00e+00 1.09e-02  -5.7 4.94e-02  -3.4 8.50e-01 8.90e-01h  1\n",
      "  14  2.3257968e+02 0.00e+00 2.03e-03  -5.7 2.50e-02  -3.9 1.00e+00 1.00e+00h  1\n",
      "  15  2.3257941e+02 0.00e+00 2.03e-04  -5.7 7.28e-03  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  2.3257923e+02 0.00e+00 9.27e-07  -5.7 1.32e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.3257340e+02 2.13e-05 1.76e-04  -8.6 1.23e-02  -5.3 9.05e-01 9.07e-01h  1\n",
      "  18  2.3257260e+02 9.95e-06 9.63e-05  -8.6 3.64e-02  -5.8 9.07e-01 1.00e+00h  1\n",
      "  19  2.3257254e+02 0.00e+00 9.64e-07  -8.6 1.78e-02  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3257253e+02 0.00e+00 6.94e-08  -8.6 9.04e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.3257253e+02 0.00e+00 1.96e-09  -8.6 3.71e-03  -7.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   1.1947964511626732e+00    2.3257252650620310e+02\n",
      "Dual infeasibility......:   1.9594054798816041e-09    3.8140712793606991e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.4364524106159735e-09    6.6892098530888047e-07\n",
      "Overall NLP error.......:   3.4364524106159735e-09    6.6892098530888047e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.528\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (166.67us)   4.21ms (175.46us)        24\n",
      "       nlp_g  |   5.00ms (208.33us)   4.21ms (175.50us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 835.00us (835.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (565.22us)  11.10ms (482.65us)        23\n",
      "  nlp_hess_l  | 297.00ms ( 14.14ms) 297.24ms ( 14.15ms)        21\n",
      "   nlp_jac_g  |  88.00ms (  3.83ms)  89.29ms (  3.88ms)        23\n",
      "       total  | 529.00ms (529.00ms) 529.30ms (529.30ms)         1\n",
      "[8.93734, 9.04368, 9.66729, 0.861937, 0.847328, -0.238387, -0.0646195, 0.0521554, -0.0169936, 0.056765, -0.0213636, 0.0250336]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  3.2788256e+02 3.97e+00 5.05e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  3.0362390e+02 3.04e+00 1.29e+00  -1.0 1.40e+00  -4.0 1.29e-01 2.16e-01f  1\n",
      "   2  2.4793281e+02 0.00e+00 1.28e+01  -1.0 1.11e+00  -4.5 3.91e-01 1.00e+00f  1\n",
      "   3  2.4066315e+02 0.00e+00 1.74e+00  -1.0 2.74e-01  -5.0 6.94e-01 1.00e+00f  1\n",
      "   4  2.3755902e+02 0.00e+00 2.73e-01  -1.0 3.74e-01  -5.4 1.00e+00 1.00e+00f  1\n",
      "   5  2.3580799e+02 0.00e+00 3.77e-02  -1.7 1.59e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.3255129e+02 0.00e+00 3.20e-02  -2.5 2.61e-01  -6.4 9.87e-01 1.00e+00h  1\n",
      "   7  2.3194375e+02 0.00e+00 1.12e-02  -2.5 1.35e-01  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.3159060e+02 0.00e+00 1.39e-03  -3.8 7.92e-02  -7.3 9.93e-01 1.00e+00h  1\n",
      "   9  2.3157406e+02 0.00e+00 7.75e-04  -5.7 6.40e-03  -1.5 9.54e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3157173e+02 0.00e+00 3.33e-04  -5.7 3.90e-03  -1.1 1.00e+00 1.00e+00h  1\n",
      "  11  2.3156274e+02 0.00e+00 1.56e-03  -5.7 3.77e-02  -1.5 1.00e+00 1.00e+00h  1\n",
      "  12  2.3151559e+02 0.00e+00 3.63e-03  -5.7 1.90e-02  -1.1 1.00e+00 1.00e+00h  1\n",
      "  13  2.3144405e+02 0.00e+00 9.75e-03  -5.7 2.29e-01  -1.6 8.69e-01 2.19e-01h  1\n",
      "  14  2.3138819e+02 4.60e-07 6.73e-03  -5.7 3.28e-02  -1.2 1.00e+00 4.56e-01f  1\n",
      "  15  2.3130405e+02 2.87e-07 1.11e-02  -5.7 3.16e-01  -1.6 6.26e-01 1.70e-01f  1\n",
      "  16  2.3129341e+02 2.54e-06 1.11e-02  -5.7 2.80e+01  -2.1 7.39e-03 2.22e-04h  1\n",
      "  17  2.3123797e+02 3.85e-06 1.70e-02  -5.7 1.22e+00  -2.6 2.33e-01 1.88e-02h  1\n",
      "  18  2.3116204e+02 9.95e-06 1.48e-02  -5.7 3.49e-01  -3.1 7.45e-01 8.36e-02h  1\n",
      "  19  2.3107885e+02 1.55e-05 8.61e-03  -5.7 1.81e-01  -3.6 1.00e+00 1.84e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3100728e+02 3.09e-06 6.45e-03  -5.7 1.54e-01  -4.0 1.00e+00 2.75e-01h  1\n",
      "  21  2.3093172e+02 0.00e+00 1.58e-02  -5.7 9.75e-02  -4.5 1.00e+00 6.32e-01h  1\n",
      "  22  2.3090516e+02 0.00e+00 6.68e-03  -5.7 1.88e-02  -5.0 1.00e+00 6.08e-01h  1\n",
      "  23  2.3088849e+02 0.00e+00 2.42e-04  -5.7 7.24e-03  -5.5 1.00e+00 1.00e+00f  1\n",
      "  24  2.3088814e+02 0.00e+00 7.59e-07  -5.7 8.43e-04  -5.9 1.00e+00 1.00e+00h  1\n",
      "  25  2.3088468e+02 4.10e-06 1.28e-04  -8.6 1.66e-02  -6.4 8.83e-01 9.33e-01h  1\n",
      "  26  2.3088430e+02 0.00e+00 1.48e-05  -8.6 3.03e-02  -6.9 9.10e-01 1.00e+00h  1\n",
      "  27  2.3088427e+02 0.00e+00 1.07e-06  -8.6 1.45e-02  -7.4 1.00e+00 1.00e+00h  1\n",
      "  28  2.3088427e+02 0.00e+00 2.00e-07  -8.6 7.61e-03  -7.9 1.00e+00 1.00e+00h  1\n",
      "  29  2.3088426e+02 0.00e+00 4.51e-08  -8.6 3.26e-03  -8.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.3088426e+02 0.00e+00 2.33e-09  -8.6 9.44e-04  -8.8 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 30\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.0933940827164044e+00    2.3088426370830555e+02\n",
      "Dual infeasibility......:   2.3287203207433826e-09    2.5683882508148059e-07\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6134891174452180e-09    2.8824649671695568e-07\n",
      "Overall NLP error.......:   2.6134891174452180e-09    2.8824649671695568e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 31\n",
      "Number of objective gradient evaluations             = 31\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 31\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 31\n",
      "Number of Lagrangian Hessian evaluations             = 30\n",
      "Total seconds in IPOPT                               = 0.721\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (161.29us)   5.47ms (176.45us)        31\n",
      "       nlp_g  |   6.00ms (193.55us)   5.06ms (163.19us)        31\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.07ms (  1.07ms)         1\n",
      "  nlp_grad_f  |  19.00ms (593.75us)  16.03ms (500.91us)        32\n",
      "  nlp_hess_l  | 414.00ms ( 13.80ms) 413.94ms ( 13.80ms)        30\n",
      "   nlp_jac_g  | 119.00ms (  3.72ms) 119.44ms (  3.73ms)        32\n",
      "       total  | 723.00ms (723.00ms) 722.79ms (722.79ms)         1\n",
      "[9.10924, 9.20681, 9.73472, 0.754394, 0.713783, -0.203167, -0.0529913, 0.048206, -0.0117142, 0.0230455, -0.00783599, 0.0236209]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.5008563e+02 2.12e+00 3.52e-02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.5273721e+02 0.00e+00 5.67e+01  -1.0 7.36e-01  -4.0 1.98e-01 1.00e+00f  1\n",
      "   2  2.4216332e+02 0.00e+00 1.45e+01  -1.0 2.52e-01  -4.5 8.09e-01 1.00e+00f  1\n",
      "   3  2.3681463e+02 0.00e+00 6.03e-01  -1.0 2.96e-01  -5.0 9.72e-01 1.00e+00f  1\n",
      "   4  2.3396286e+02 0.00e+00 7.50e-02  -1.7 1.54e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.3092095e+02 0.00e+00 3.57e-02  -2.5 2.09e-01  -5.9 1.00e+00 1.00e+00h  1\n",
      "   6  2.3060800e+02 0.00e+00 2.26e-02  -2.5 1.12e-01  -6.4 1.00e+00 1.00e+00h  1\n",
      "   7  2.3040386e+02 0.00e+00 1.30e-03  -3.8 5.56e-02  -6.9 1.00e+00 1.00e+00h  1\n",
      "   8  2.3039668e+02 0.00e+00 3.00e-04  -5.7 2.62e-03  -1.0 9.89e-01 1.00e+00h  1\n",
      "   9  2.3039627e+02 0.00e+00 3.04e-04  -5.7 1.19e-03  -0.6 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.3039498e+02 0.00e+00 4.54e-04  -5.7 5.33e-03  -1.1 1.00e+00 1.00e+00h  1\n",
      "  11  2.3039379e+02 0.00e+00 5.38e-04  -5.7 2.37e-03  -0.6 1.00e+00 1.00e+00h  1\n",
      "  12  2.3039003e+02 0.00e+00 9.50e-04  -5.7 1.25e-02  -1.1 1.00e+00 1.00e+00h  1\n",
      "  13  2.3038473e+02 0.00e+00 1.13e-03  -5.7 5.60e-03  -0.7 1.00e+00 1.00e+00h  1\n",
      "  14  2.3036737e+02 0.00e+00 2.14e-03  -5.7 3.18e-02  -1.2 1.00e+00 1.00e+00h  1\n",
      "  15  2.3033603e+02 0.00e+00 3.21e-03  -5.7 1.43e-02  -0.7 1.00e+00 1.00e+00h  1\n",
      "  16  2.3026947e+02 0.00e+00 1.04e-02  -5.7 8.84e-02  -1.2 1.00e+00 5.59e-01h  1\n",
      "  17  2.3026228e+02 0.00e+00 9.60e-03  -5.7 2.54e-02  -0.8 1.00e+00 8.15e-02f  1\n",
      "  18  2.3021257e+02 4.61e-07 1.01e-02  -5.7 9.48e-02  -1.3 1.00e+00 1.97e-01f  1\n",
      "  19  2.3011827e+02 0.00e+00 8.23e-03  -5.7 2.42e-02  -0.8 1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.3008438e+02 4.16e-07 8.38e-03  -5.7 1.88e-01  -1.3 1.00e+00 8.13e-02h  1\n",
      "  21  2.3005531e+02 0.00e+00 6.20e-03  -5.7 3.46e-02  -0.9 1.00e+00 2.87e-01f  1\n",
      "  22  2.3001700e+02 0.00e+00 8.86e-03  -5.7 1.10e-01  -1.4 1.00e+00 1.48e-01h  1\n",
      "  23  2.2997243e+02 0.00e+00 2.19e-02  -5.7 2.89e-01  -1.9 1.00e+00 7.27e-02h  1\n",
      "  24  2.2991578e+02 0.00e+00 2.40e-02  -5.7 3.25e-01  -2.3 1.00e+00 9.05e-02h  1\n",
      "  25  2.2985163e+02 0.00e+00 1.63e-02  -5.7 2.58e-01  -2.8 1.00e+00 1.54e-01h  1\n",
      "  26  2.2979164e+02 5.71e-07 1.82e-02  -5.7 2.08e-01  -3.3 1.00e+00 2.63e-01h  1\n",
      "  27  2.2976877e+02 0.00e+00 1.75e-02  -5.7 1.06e-01  -3.8 1.00e+00 1.87e-01h  1\n",
      "  28  2.2973195e+02 0.00e+00 2.39e-02  -5.7 9.47e-02  -4.2 1.00e+00 5.67e-01f  1\n",
      "  29  2.2972151e+02 0.00e+00 1.26e-02  -5.7 2.15e-02  -4.7 1.00e+00 4.97e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.2971238e+02 0.00e+00 6.47e-04  -5.7 9.43e-03  -5.2 1.00e+00 1.00e+00f  1\n",
      "  31  2.2971226e+02 0.00e+00 1.04e-06  -5.7 7.99e-04  -5.7 1.00e+00 1.00e+00h  1\n",
      "  32  2.2971024e+02 1.56e-06 1.12e-04  -8.6 1.91e-02  -6.1 8.76e-01 9.52e-01h  1\n",
      "  33  2.2971006e+02 0.00e+00 1.07e-05  -8.6 2.35e-02  -6.6 9.25e-01 1.00e+00h  1\n",
      "  34  2.2971005e+02 0.00e+00 8.34e-07  -8.6 1.15e-02  -7.1 1.00e+00 1.00e+00h  1\n",
      "  35  2.2971004e+02 0.00e+00 5.72e-08  -8.6 5.99e-03  -7.6 1.00e+00 1.00e+00h  1\n",
      "  36  2.2971004e+02 0.00e+00 6.04e-10  -8.6 2.60e-03  -8.1 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 36\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.7323593024362727e+00    2.2971004341185957e+02\n",
      "Dual infeasibility......:   6.0447646887951123e-10    3.7202826592049663e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.9573004950060610e-09    2.4355416905019064e-07\n",
      "Overall NLP error.......:   3.9573004950060610e-09    2.4355416905019064e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 37\n",
      "Number of objective gradient evaluations             = 37\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 37\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 37\n",
      "Number of Lagrangian Hessian evaluations             = 36\n",
      "Total seconds in IPOPT                               = 0.986\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   8.00ms (216.22us)   7.98ms (215.54us)        37\n",
      "       nlp_g  |   6.00ms (162.16us)   7.48ms (202.14us)        37\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.21ms (  1.21ms)         1\n",
      "  nlp_grad_f  |  25.00ms (657.89us)  21.88ms (575.71us)        38\n",
      "  nlp_hess_l  | 590.00ms ( 16.39ms) 592.48ms ( 16.46ms)        36\n",
      "   nlp_jac_g  | 168.00ms (  4.42ms) 166.25ms (  4.37ms)        38\n",
      "       total  | 987.00ms (987.00ms) 987.44ms (987.44ms)         1\n",
      "[9.25926, 9.34547, 9.79007, 0.65616, 0.605483, -0.16649, -0.0481506, 0.046889, -0.00690809, 0.0262012, -0.0161101, 0.0197249]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2861642e+02 1.57e-01 2.65e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3117793e+02 0.00e+00 1.59e+01  -1.0 2.68e-01  -4.0 6.69e-01 1.00e+00f  1\n",
      "   2  2.3045794e+02 0.00e+00 7.25e-01  -1.0 2.46e-01  -4.5 1.00e+00 1.00e+00h  1\n",
      "   3  2.2984739e+02 0.00e+00 4.10e-02  -1.7 5.78e-02  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2966534e+02 0.00e+00 5.41e-03  -2.5 4.90e-02  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2964429e+02 0.00e+00 3.25e-03  -3.8 8.40e-03  -0.5 9.79e-01 1.00e+00h  1\n",
      "   6  2.2964022e+02 0.00e+00 5.84e-03  -3.8 6.77e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2948751e+02 0.00e+00 5.04e-01  -3.8 1.40e-01  -0.5 1.00e+00 7.88e-01H  1\n",
      "   8  2.2942318e+02 0.00e+00 2.50e-01  -3.8 4.08e-02  -0.1 1.00e+00 5.48e-01f  1\n",
      "   9  2.2936736e+02 0.00e+00 2.44e-01  -3.8 3.26e-01  -0.6 8.56e-01 8.71e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2925155e+02 9.11e-07 1.89e-01  -3.8 2.56e-01  -1.1 1.00e+00 1.98e-01h  1\n",
      "  11  2.2913705e+02 0.00e+00 8.25e-02  -3.8 1.52e-01  -1.5 1.00e+00 3.32e-01h  1\n",
      "  12  2.2905176e+02 0.00e+00 1.51e-01  -3.8 8.35e-02  -2.0 1.00e+00 4.98e-01h  1\n",
      "  13  2.2899085e+02 0.00e+00 1.26e-01  -3.8 4.96e-02  -2.5 1.00e+00 9.07e-01f  1\n",
      "  14  2.2898422e+02 0.00e+00 5.47e-03  -3.8 1.36e-02  -3.0 1.00e+00 1.00e+00f  1\n",
      "  15  2.2898194e+02 0.00e+00 9.07e-04  -3.8 3.95e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2896393e+02 0.00e+00 1.65e-02  -5.7 1.59e-02  -3.9 9.25e-01 8.63e-01h  1\n",
      "  17  2.2896023e+02 0.00e+00 3.82e-03  -5.7 3.23e-02  -4.4 9.85e-01 1.00e+00h  1\n",
      "  18  2.2895997e+02 0.00e+00 3.04e-04  -5.7 2.37e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2895994e+02 0.00e+00 1.96e-05  -5.7 4.41e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2895993e+02 0.00e+00 2.58e-07  -5.7 3.74e-04  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.2895966e+02 2.83e-08 4.80e-05  -8.6 1.33e-02  -6.3 9.29e-01 9.90e-01h  1\n",
      "  22  2.2895965e+02 0.00e+00 1.92e-06  -8.6 8.13e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2895965e+02 0.00e+00 1.13e-07  -8.6 4.22e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2895965e+02 0.00e+00 8.95e-10  -8.6 2.02e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 24\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9612403122088285e+01    2.2895964725253131e+02\n",
      "Dual infeasibility......:   8.9505647338228300e-10    6.9204722619705534e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.5172718154557431e-09    7.3586435679980564e-08\n",
      "Overall NLP error.......:   9.5172718154557431e-09    7.3586435679980564e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 25\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 25\n",
      "Number of Lagrangian Hessian evaluations             = 24\n",
      "Total seconds in IPOPT                               = 0.592\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (230.77us)   4.95ms (190.54us)        26\n",
      "       nlp_g  |   4.00ms (153.85us)   4.65ms (179.00us)        26\n",
      "    nlp_grad  |        0 (       0) 749.00us (749.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (423.08us)  12.79ms (491.85us)        26\n",
      "  nlp_hess_l  | 342.00ms ( 14.25ms) 339.79ms ( 14.16ms)        24\n",
      "   nlp_jac_g  | 106.00ms (  4.08ms) 104.27ms (  4.01ms)        26\n",
      "       total  | 593.00ms (593.00ms) 593.65ms (593.65ms)         1\n",
      "[9.38933, 9.46393, 9.83527, 0.561272, 0.507691, -0.13763, -0.0427182, 0.0438569, -0.00280809, 0.0271888, -0.0219817, 0.0138584]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2810101e+02 1.22e-01 3.86e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3062257e+02 0.00e+00 2.55e+01  -1.0 2.27e-01  -4.0 5.20e-01 1.00e+00f  1\n",
      "   2  2.2970660e+02 0.00e+00 1.25e+00  -1.0 2.03e-01  -4.5 1.00e+00 1.00e+00h  1\n",
      "   3  2.2983651e+02 0.00e+00 5.31e-02  -1.0 1.07e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2921520e+02 0.00e+00 6.39e-02  -2.5 1.04e-01  -5.4 9.52e-01 1.00e+00f  1\n",
      "   5  2.2920947e+02 0.00e+00 3.05e-02  -2.5 3.93e-02  -1.4 1.00e+00 1.00e+00h  1\n",
      "   6  2.2917455e+02 0.00e+00 2.62e-02  -2.5 1.19e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2911260e+02 0.00e+00 4.92e-01  -3.8 1.73e-01  -0.5 5.53e-01 6.59e-01h  1\n",
      "   8  2.2894656e+02 0.00e+00 4.18e-01  -3.8 2.19e-01  -1.0 6.40e-01 2.07e-01h  1\n",
      "   9  2.2870075e+02 4.21e-05 1.58e-01  -3.8 1.25e-01  -1.5 9.98e-01 5.70e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2855483e+02 0.00e+00 3.30e-01  -3.8 4.91e-02  -2.0 1.00e+00 8.02e-01h  1\n",
      "  11  2.2851694e+02 0.00e+00 1.18e-02  -3.8 9.70e-03  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2851711e+02 0.00e+00 1.20e-05  -3.8 1.88e-03  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.2850492e+02 0.00e+00 1.40e-02  -5.7 1.33e-02  -3.4 9.39e-01 8.52e-01h  1\n",
      "  14  2.2850228e+02 0.00e+00 3.42e-03  -5.7 3.80e-02  -3.9 1.00e+00 1.00e+00h  1\n",
      "  15  2.2850210e+02 0.00e+00 2.56e-04  -5.7 1.88e-02  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  2.2850208e+02 0.00e+00 1.37e-05  -5.7 4.58e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.2850189e+02 0.00e+00 4.34e-05  -8.6 1.16e-02  -5.3 9.39e-01 9.91e-01h  1\n",
      "  18  2.2850188e+02 0.00e+00 2.07e-06  -8.6 6.82e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  19  2.2850188e+02 0.00e+00 1.90e-07  -8.6 3.52e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2850188e+02 0.00e+00 3.19e-09  -8.6 1.69e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 20\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.3208673999132891e+01    2.2850188165767068e+02\n",
      "Dual infeasibility......:   3.1893137020233553e-09    1.6866154747622040e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6307925237489497e-09    5.0930843505529109e-08\n",
      "Overall NLP error.......:   9.6307925237489497e-09    5.0930843505529109e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 21\n",
      "Number of objective gradient evaluations             = 21\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 21\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 21\n",
      "Number of Lagrangian Hessian evaluations             = 20\n",
      "Total seconds in IPOPT                               = 0.481\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 95.24us)   3.88ms (184.71us)        21\n",
      "       nlp_g  |   2.00ms ( 95.24us)   3.66ms (174.48us)        21\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 764.00us (764.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (590.91us)  11.18ms (508.23us)        22\n",
      "  nlp_hess_l  | 277.00ms ( 13.85ms) 275.08ms ( 13.75ms)        20\n",
      "   nlp_jac_g  |  84.00ms (  3.82ms)  84.18ms (  3.83ms)        22\n",
      "       total  | 482.00ms (482.00ms) 481.93ms (481.93ms)         1\n",
      "[9.50036, 9.56389, 9.87199, 0.47324, 0.42168, -0.114352, -0.0371507, 0.0395789, 0.000151663, 0.026419, -0.0245155, 0.00860865]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2779442e+02 7.80e-02 5.25e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3034122e+02 0.00e+00 3.42e+01  -1.0 1.83e-01  -4.0 3.46e-01 1.00e+00f  1\n",
      "   2  2.2919516e+02 0.00e+00 2.46e+00  -1.0 1.76e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.2940917e+02 0.00e+00 5.20e-02  -1.0 8.28e-02  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2894860e+02 0.00e+00 4.91e-02  -2.5 8.68e-02  -5.4 9.63e-01 1.00e+00h  1\n",
      "   5  2.2894787e+02 0.00e+00 2.40e-02  -2.5 1.42e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   6  2.2893042e+02 0.00e+00 1.41e-02  -3.8 1.59e-02  -0.1 9.48e-01 1.00e+00h  1\n",
      "   7  2.2892141e+02 0.00e+00 2.01e-02  -3.8 8.74e-03   0.4 1.00e+00 1.00e+00h  1\n",
      "   8  2.2888616e+02 0.00e+00 2.12e-01  -3.8 7.55e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2880985e+02 0.00e+00 2.25e-01  -3.8 3.43e-02   0.3 1.00e+00 5.12e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2875280e+02 0.00e+00 2.21e-01  -3.8 1.52e-01  -0.2 1.00e+00 1.82e-01f  1\n",
      "  11  2.2863816e+02 0.00e+00 1.31e-01  -3.8 3.19e-02   0.3 1.00e+00 9.40e-01f  1\n",
      "  12  2.2859812e+02 0.00e+00 1.28e-01  -3.8 2.11e-01  -0.2 1.00e+00 9.21e-02f  1\n",
      "  13  2.2852181e+02 0.00e+00 3.41e-01  -3.8 3.05e-01  -0.7 1.00e+00 1.32e-01f  1\n",
      "  14  2.2842556e+02 8.61e-06 2.36e-01  -3.8 2.06e-01  -1.2 1.00e+00 2.33e-01h  1\n",
      "  15  2.2834284e+02 2.74e-05 3.75e-01  -3.8 1.36e-01  -1.6 1.00e+00 3.86e-01h  1\n",
      "  16  2.2828491e+02 3.46e-05 5.03e-01  -3.8 8.03e-02  -2.1 1.00e+00 7.24e-01h  1\n",
      "  17  2.2826165e+02 0.00e+00 1.99e-02  -3.8 1.52e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  18  2.2826257e+02 0.00e+00 1.34e-03  -3.8 4.78e-03  -3.1 1.00e+00 1.00e+00h  1\n",
      "  19  2.2825316e+02 0.00e+00 1.39e-02  -5.7 1.15e-02  -3.6 9.37e-01 8.75e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2825137e+02 0.00e+00 2.71e-03  -5.7 3.95e-02  -4.0 1.00e+00 1.00e+00h  1\n",
      "  21  2.2825125e+02 0.00e+00 2.00e-04  -5.7 1.61e-02  -4.5 1.00e+00 1.00e+00h  1\n",
      "  22  2.2825124e+02 0.00e+00 1.08e-05  -5.7 4.65e-03  -5.0 1.00e+00 1.00e+00h  1\n",
      "  23  2.2825109e+02 0.00e+00 3.90e-05  -8.6 1.03e-02  -5.5 9.47e-01 9.91e-01h  1\n",
      "  24  2.2825109e+02 0.00e+00 2.24e-06  -8.6 5.86e-03  -5.9 1.00e+00 1.00e+00f  1\n",
      "  25  2.2825109e+02 0.00e+00 2.47e-07  -8.6 3.01e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  26  2.2825109e+02 0.00e+00 7.04e-09  -8.6 1.44e-03  -6.9 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   5.9098412656730972e+01    2.2825109015637165e+02\n",
      "Dual infeasibility......:   7.0394889917224646e-09    2.7188057415979141e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   9.6520943674091944e-09    3.7278514982286966e-08\n",
      "Overall NLP error.......:   9.6520943674091944e-09    3.7278514982286966e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.639\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (148.15us)   5.27ms (195.11us)        27\n",
      "       nlp_g  |   7.00ms (259.26us)   4.77ms (176.63us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 862.00us (862.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (500.00us)  14.49ms (517.54us)        28\n",
      "  nlp_hess_l  | 369.00ms ( 14.19ms) 368.75ms ( 14.18ms)        26\n",
      "   nlp_jac_g  | 108.00ms (  3.86ms) 103.88ms (  3.71ms)        28\n",
      "       total  | 641.00ms (641.00ms) 640.85ms (640.85ms)         1\n",
      "[9.5939, 9.64733, 9.90171, 0.39432, 0.347445, -0.0950268, -0.0317916, 0.0347397, 0.00205581, 0.024589, -0.0245917, 0.00457799]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2780348e+02 4.20e-02 4.28e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3042404e+02 0.00e+00 2.36e+01  -1.0 1.69e-01  -4.0 3.45e-01 1.00e+00f  1\n",
      "   2  2.2929212e+02 0.00e+00 3.62e+00  -1.0 1.63e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.2940670e+02 0.00e+00 1.32e-01  -1.0 8.88e-02  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2884362e+02 0.00e+00 5.60e-02  -2.5 9.70e-02  -5.4 9.57e-01 1.00e+00h  1\n",
      "   5  2.2884024e+02 0.00e+00 1.53e-02  -2.5 1.54e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   6  2.2882414e+02 0.00e+00 6.10e-03  -3.8 7.06e-03  -0.1 9.99e-01 1.00e+00h  1\n",
      "   7  2.2882158e+02 0.00e+00 8.69e-03  -3.8 3.78e-03   0.4 1.00e+00 1.00e+00h  1\n",
      "   8  2.2881240e+02 0.00e+00 1.94e-02  -3.8 2.53e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2879325e+02 0.00e+00 2.42e-02  -3.8 1.18e-02   0.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2873382e+02 0.00e+00 2.05e-01  -3.8 8.59e-02  -0.2 1.00e+00 8.57e-01h  1\n",
      "  11  2.2866136e+02 0.00e+00 9.01e-02  -3.8 2.56e-02   0.3 1.00e+00 6.96e-01f  1\n",
      "  12  2.2857137e+02 0.00e+00 1.36e-01  -3.8 1.33e-01  -0.2 1.00e+00 3.74e-01f  1\n",
      "  13  2.2851302e+02 0.00e+00 1.04e-01  -3.8 3.42e-02   0.2 1.00e+00 4.27e-01f  1\n",
      "  14  2.2845611e+02 0.00e+00 9.72e-02  -3.8 9.65e-02  -0.3 1.00e+00 2.25e-01f  1\n",
      "  15  2.2838895e+02 0.00e+00 1.81e-01  -3.8 1.95e-01  -0.7 1.00e+00 1.63e-01f  1\n",
      "  16  2.2829940e+02 8.15e-06 1.59e-01  -3.8 1.78e-01  -1.2 1.00e+00 2.60e-01h  1\n",
      "  17  2.2822323e+02 0.00e+00 3.06e-01  -3.8 1.27e-01  -1.7 1.00e+00 4.22e-01h  1\n",
      "  18  2.2816911e+02 0.00e+00 3.72e-01  -3.8 7.50e-02  -2.2 1.00e+00 8.29e-01f  1\n",
      "  19  2.2815678e+02 0.00e+00 1.06e-02  -3.8 2.10e-02  -2.7 1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2815372e+02 0.00e+00 2.90e-03  -3.8 6.52e-03  -3.1 1.00e+00 1.00e+00h  1\n",
      "  21  2.2815311e+02 0.00e+00 1.88e-04  -3.8 1.64e-03  -3.6 1.00e+00 1.00e+00h  1\n",
      "  22  2.2814200e+02 0.00e+00 1.42e-02  -5.7 1.27e-02  -4.1 9.41e-01 8.66e-01h  1\n",
      "  23  2.2813976e+02 0.00e+00 2.94e-03  -5.7 4.03e-02  -4.6 1.00e+00 1.00e+00h  1\n",
      "  24  2.2813961e+02 0.00e+00 2.15e-04  -5.7 1.62e-02  -5.0 1.00e+00 1.00e+00h  1\n",
      "  25  2.2813959e+02 0.00e+00 1.30e-05  -5.7 4.44e-03  -5.5 1.00e+00 1.00e+00h  1\n",
      "  26  2.2813941e+02 0.00e+00 4.49e-05  -8.6 1.11e-02  -6.0 9.42e-01 9.88e-01h  1\n",
      "  27  2.2813941e+02 0.00e+00 3.24e-06  -8.6 6.46e-03  -6.5 1.00e+00 1.00e+00h  1\n",
      "  28  2.2813941e+02 0.00e+00 4.66e-07  -8.6 3.32e-03  -6.9 1.00e+00 1.00e+00h  1\n",
      "  29  2.2813941e+02 0.00e+00 3.35e-08  -8.6 1.59e-03  -7.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  30  2.2813941e+02 0.00e+00 3.29e-10  -8.6 6.84e-04  -7.9 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 30\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   4.8548552006552285e+01    2.2813940747178887e+02\n",
      "Dual infeasibility......:   3.2889602152863517e-10    1.5455485358501457e-09\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.8230474154716399e-09    1.7965268500377522e-08\n",
      "Overall NLP error.......:   3.8230474154716399e-09    1.7965268500377522e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 31\n",
      "Number of objective gradient evaluations             = 31\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 31\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 31\n",
      "Number of Lagrangian Hessian evaluations             = 30\n",
      "Total seconds in IPOPT                               = 0.699\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 64.52us)   5.39ms (173.81us)        31\n",
      "       nlp_g  |   6.00ms (193.55us)   5.25ms (169.23us)        31\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 925.00us (925.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (500.00us)  15.44ms (482.56us)        32\n",
      "  nlp_hess_l  | 410.00ms ( 13.67ms) 410.91ms ( 13.70ms)        30\n",
      "   nlp_jac_g  | 119.00ms (  3.72ms) 118.54ms (  3.70ms)        32\n",
      "       total  | 700.00ms (700.00ms) 700.45ms (700.45ms)         1\n",
      "[9.67184, 9.71634, 9.92564, 0.325389, 0.28429, -0.0786982, -0.0268365, 0.0298505, 0.00312792, 0.0221232, -0.0231339, 0.00171952]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2796084e+02 6.17e-02 2.77e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3064325e+02 0.00e+00 7.30e+00  -1.0 1.63e-01  -4.0 3.05e-01 1.00e+00f  1\n",
      "   2  2.2973283e+02 0.00e+00 4.65e+00  -1.0 1.38e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.2970496e+02 0.00e+00 2.14e-01  -1.0 1.25e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2899154e+02 0.00e+00 1.81e-02  -1.7 1.01e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2881674e+02 0.00e+00 3.60e-03  -2.5 7.25e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2880029e+02 0.00e+00 2.63e-03  -3.8 3.05e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2873126e+02 6.39e-05 1.09e-01  -3.8 6.61e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2867429e+02 0.00e+00 1.02e-01  -3.8 3.60e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2858902e+02 0.00e+00 1.80e-01  -3.8 1.21e+00  -0.6 1.99e-01 3.65e-02h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2853162e+02 0.00e+00 1.85e-01  -3.8 3.77e+00  -1.1 6.71e-02 1.04e-02h  1\n",
      "  11  2.2845637e+02 0.00e+00 1.68e-01  -3.8 1.20e+00  -1.5 2.43e-01 3.95e-02h  1\n",
      "  12  2.2831440e+02 1.66e-06 1.35e-01  -3.8 2.39e-01  -2.0 1.00e+00 2.89e-01h  1\n",
      "  13  2.2821367e+02 1.67e-06 2.04e-01  -3.8 9.16e-02  -2.5 1.00e+00 4.98e-01h  1\n",
      "  14  2.2814353e+02 0.00e+00 1.39e-01  -3.8 4.73e-02  -3.0 1.00e+00 9.54e-01f  1\n",
      "  15  2.2813906e+02 0.00e+00 5.56e-03  -3.8 1.69e-02  -3.5 1.00e+00 1.00e+00f  1\n",
      "  16  2.2813693e+02 0.00e+00 9.35e-04  -3.8 4.15e-03  -3.9 1.00e+00 1.00e+00h  1\n",
      "  17  2.2811952e+02 0.00e+00 1.79e-02  -5.7 1.55e-02  -4.4 9.27e-01 8.90e-01h  1\n",
      "  18  2.2811636e+02 0.00e+00 3.09e-03  -5.7 3.39e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2811612e+02 0.00e+00 2.45e-04  -5.7 2.24e-02  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2811609e+02 0.00e+00 1.59e-05  -5.7 4.26e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.2811582e+02 0.00e+00 5.36e-05  -8.6 1.31e-02  -6.3 9.30e-01 9.82e-01h  1\n",
      "  22  2.2811581e+02 0.00e+00 4.34e-06  -8.6 8.01e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2811581e+02 0.00e+00 8.34e-07  -8.6 4.13e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2811581e+02 0.00e+00 1.30e-07  -8.6 1.98e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2811581e+02 0.00e+00 6.84e-09  -8.6 8.53e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.1684576147985549e+01    2.2811580966950245e+02\n",
      "Dual infeasibility......:   6.8419723220358719e-09    4.9259363568187396e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   3.8431929584768869e-09    2.7669395649934371e-08\n",
      "Overall NLP error.......:   6.8419723220358719e-09    4.9259363568187396e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.600\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (148.15us)   5.01ms (185.56us)        27\n",
      "       nlp_g  |        0 (       0)   4.30ms (159.30us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 944.00us (944.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (518.52us)  13.69ms (506.96us)        27\n",
      "  nlp_hess_l  | 350.00ms ( 14.00ms) 350.70ms ( 14.03ms)        25\n",
      "   nlp_jac_g  | 104.00ms (  3.85ms) 103.95ms (  3.85ms)        27\n",
      "       total  | 601.00ms (601.00ms) 601.22ms (601.22ms)         1\n",
      "[9.73619, 9.77295, 9.94483, 0.266369, 0.231206, -0.0648117, -0.0223979, 0.0252329, 0.00359607, 0.0193957, -0.0208678, -0.000170555]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2814221e+02 8.54e-02 2.27e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3082990e+02 0.00e+00 4.11e+00  -1.0 1.57e-01  -4.0 3.39e-01 1.00e+00f  1\n",
      "   2  2.2997654e+02 0.00e+00 4.42e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.2991342e+02 0.00e+00 2.26e-01  -1.0 1.36e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2907454e+02 0.00e+00 1.60e-02  -1.7 1.10e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2884868e+02 0.00e+00 3.55e-03  -2.5 8.40e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2883113e+02 0.00e+00 1.53e-02  -3.8 3.32e-02  -1.0 8.74e-01 1.00e+00h  1\n",
      "   7  2.2877873e+02 0.00e+00 1.67e-01  -3.8 7.45e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2858337e+02 0.00e+00 3.01e-01  -3.8 3.53e-02  -0.1 1.00e+00 9.86e-01h  1\n",
      "   9  2.2852017e+02 5.24e-06 2.59e-01  -3.8 1.63e-01  -0.6 1.00e+00 1.56e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2840736e+02 0.00e+00 1.74e-01  -3.8 1.95e-01  -1.1 1.00e+00 2.33e-01f  1\n",
      "  11  2.2829705e+02 7.79e-07 6.34e-02  -3.8 1.43e-01  -1.5 1.00e+00 3.53e-01h  1\n",
      "  12  2.2822128e+02 0.00e+00 1.47e-01  -3.8 7.85e-02  -2.0 1.00e+00 5.25e-01h  1\n",
      "  13  2.2817247e+02 0.00e+00 1.08e-01  -3.8 4.36e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2817136e+02 0.00e+00 4.75e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2816937e+02 0.00e+00 5.92e-04  -3.8 3.56e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2814849e+02 0.00e+00 1.88e-02  -5.7 1.68e-02  -3.9 9.19e-01 8.91e-01h  1\n",
      "  17  2.2814456e+02 0.00e+00 3.33e-03  -5.7 2.94e-02  -4.4 9.56e-01 1.00e+00h  1\n",
      "  18  2.2814426e+02 0.00e+00 2.51e-04  -5.7 2.55e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2814421e+02 0.00e+00 1.90e-05  -5.7 4.76e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2814420e+02 0.00e+00 4.34e-07  -5.7 4.26e-04  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.2814389e+02 0.00e+00 5.18e-05  -8.6 1.39e-02  -6.3 9.25e-01 9.81e-01h  1\n",
      "  22  2.2814387e+02 0.00e+00 3.99e-06  -8.6 8.74e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2814387e+02 0.00e+00 7.66e-07  -8.6 4.51e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2814387e+02 0.00e+00 1.42e-07  -8.6 2.17e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2814387e+02 0.00e+00 1.38e-08  -8.6 9.31e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "  26  2.2814387e+02 0.00e+00 3.80e-09  -9.0 6.01e-04  -8.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.6075859890193303e+01    2.2814386842702805e+02\n",
      "Dual infeasibility......:   3.8049989825594821e-09    3.3290836463210910e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4591256079381111e-09    1.2766235212098769e-08\n",
      "Overall NLP error.......:   3.8049989825594821e-09    3.3290836463210910e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.595\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (185.19us)   5.03ms (186.15us)        27\n",
      "       nlp_g  |   8.00ms (296.30us)   4.95ms (183.48us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.26ms (  1.26ms)         1\n",
      "  nlp_grad_f  |   8.00ms (285.71us)  13.07ms (466.61us)        28\n",
      "  nlp_hess_l  | 355.00ms ( 13.65ms) 353.84ms ( 13.61ms)        26\n",
      "   nlp_jac_g  | 111.00ms (  3.96ms) 103.10ms (  3.68ms)        28\n",
      "       total  | 596.00ms (596.00ms) 596.45ms (596.45ms)         1\n",
      "[9.78893, 9.81908, 9.96017, 0.216605, 0.187037, -0.0530259, -0.0185173, 0.0210586, 0.00365545, 0.0166692, -0.0182821, -0.00132293]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2829740e+02 9.45e-02 2.07e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3096087e+02 0.00e+00 3.22e+00  -1.0 1.53e-01  -4.0 3.61e-01 1.00e+00f  1\n",
      "   2  2.3012973e+02 0.00e+00 4.38e+00  -1.0 1.22e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3005890e+02 0.00e+00 2.30e-01  -1.0 1.40e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2915959e+02 0.00e+00 1.43e-02  -1.7 1.14e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2890559e+02 0.00e+00 2.86e-03  -2.5 8.95e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2888281e+02 0.00e+00 9.24e-03  -3.8 1.78e-02  -1.0 9.47e-01 1.00e+00h  1\n",
      "   7  2.2886473e+02 0.00e+00 2.65e-02  -3.8 3.91e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2880709e+02 0.00e+00 5.12e-02  -3.8 1.97e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2870164e+02 0.00e+00 1.83e-01  -3.8 1.88e-01  -0.6 1.00e+00 3.19e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2865369e+02 1.71e-05 1.87e-01  -3.8 2.66e+00  -1.1 1.16e-01 1.13e-02h  1\n",
      "  11  2.2856959e+02 0.00e+00 1.67e-01  -3.8 7.86e-01  -1.5 3.69e-01 6.29e-02h  1\n",
      "  12  2.2841402e+02 2.66e-06 8.42e-02  -3.8 2.05e-01  -2.0 1.00e+00 3.39e-01h  1\n",
      "  13  2.2829680e+02 4.27e-06 1.65e-01  -3.8 8.02e-02  -2.5 1.00e+00 5.98e-01h  1\n",
      "  14  2.2822821e+02 0.00e+00 5.43e-02  -3.8 2.87e-02  -3.0 1.00e+00 1.00e+00f  1\n",
      "  15  2.2822724e+02 0.00e+00 1.45e-03  -3.8 9.90e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2820316e+02 0.00e+00 2.17e-02  -5.7 1.75e-02  -3.9 9.14e-01 9.31e-01h  1\n",
      "  17  2.2819957e+02 0.00e+00 2.94e-03  -5.7 2.72e-02  -4.4 9.48e-01 1.00e+00h  1\n",
      "  18  2.2819925e+02 0.00e+00 2.40e-04  -5.7 2.69e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2819920e+02 0.00e+00 1.85e-05  -5.7 4.87e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2819919e+02 0.00e+00 4.13e-07  -5.7 4.44e-04  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.2819884e+02 0.00e+00 5.25e-05  -8.6 1.43e-02  -6.3 9.22e-01 9.80e-01h  1\n",
      "  22  2.2819883e+02 0.00e+00 3.92e-06  -8.6 9.16e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2819882e+02 0.00e+00 6.99e-07  -8.6 4.73e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2819882e+02 0.00e+00 1.27e-07  -8.6 2.27e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2819882e+02 0.00e+00 1.89e-08  -8.6 9.76e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "  26  2.2819882e+02 0.00e+00 7.44e-09  -9.0 6.29e-04  -8.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.3827356734801324e+01    2.2819882309836376e+02\n",
      "Dual infeasibility......:   7.4417982887098333e-09    7.1271422597146990e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4612072366563022e-09    1.3994240965082053e-08\n",
      "Overall NLP error.......:   7.4417982887098333e-09    7.1271422597146990e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.624\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (148.15us)   5.03ms (186.37us)        27\n",
      "       nlp_g  |   7.00ms (259.26us)   4.75ms (176.04us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 796.00us (796.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (428.57us)  13.45ms (480.21us)        28\n",
      "  nlp_hess_l  | 363.00ms ( 13.96ms) 361.92ms ( 13.92ms)        26\n",
      "   nlp_jac_g  | 109.00ms (  3.89ms) 108.56ms (  3.88ms)        28\n",
      "       total  | 625.00ms (625.00ms) 625.20ms (625.20ms)         1\n",
      "[9.83187, 9.85645, 9.97237, 0.175147, 0.150597, -0.0430914, -0.0151876, 0.0173973, 0.00345857, 0.0141038, -0.0156838, -0.00194621]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2841545e+02 9.43e-02 2.00e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3104664e+02 0.00e+00 2.90e+00  -1.0 1.56e-01  -4.0 3.72e-01 1.00e+00f  1\n",
      "   2  2.3023064e+02 0.00e+00 4.42e+00  -1.0 1.23e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3015864e+02 0.00e+00 2.43e-01  -1.0 1.40e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2923717e+02 0.00e+00 1.31e-02  -1.7 1.16e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2897209e+02 0.00e+00 2.14e-03  -2.5 9.15e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2894830e+02 0.00e+00 7.84e-03  -3.8 1.47e-02  -1.0 9.63e-01 1.00e+00h  1\n",
      "   7  2.2893497e+02 0.00e+00 1.43e-02  -3.8 3.13e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2889716e+02 0.00e+00 2.66e-02  -3.8 1.56e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2880338e+02 0.00e+00 1.92e-01  -3.8 1.50e-01  -0.6 1.00e+00 4.88e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2869645e+02 3.77e-06 1.16e-01  -3.8 3.57e-02  -0.2 1.00e+00 5.52e-01f  1\n",
      "  11  2.2860045e+02 1.68e-06 8.02e-02  -3.8 8.87e-02  -0.6 1.00e+00 3.43e-01f  1\n",
      "  12  2.2849653e+02 0.00e+00 5.52e-02  -3.8 1.38e-01  -1.1 1.00e+00 2.85e-01f  1\n",
      "  13  2.2840328e+02 0.00e+00 6.73e-02  -3.8 1.14e-01  -1.6 1.00e+00 3.73e-01h  1\n",
      "  14  2.2833158e+02 0.00e+00 1.52e-01  -3.8 6.66e-02  -2.1 1.00e+00 6.16e-01h  1\n",
      "  15  2.2829402e+02 0.00e+00 4.55e-02  -3.8 2.68e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2829403e+02 0.00e+00 1.28e-03  -3.8 8.58e-03  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2826912e+02 0.00e+00 2.20e-02  -5.7 1.77e-02  -3.5 9.13e-01 9.36e-01h  1\n",
      "  18  2.2826548e+02 0.00e+00 2.93e-03  -5.7 2.57e-02  -4.0 9.51e-01 1.00e+00h  1\n",
      "  19  2.2826514e+02 0.00e+00 2.37e-04  -5.7 2.80e-02  -4.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2826509e+02 0.00e+00 1.79e-05  -5.7 5.02e-03  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2826473e+02 0.00e+00 5.78e-05  -8.6 1.47e-02  -5.4 9.20e-01 9.78e-01h  1\n",
      "  22  2.2826470e+02 0.00e+00 4.45e-06  -8.6 9.46e-03  -5.9 1.00e+00 1.00e+00h  1\n",
      "  23  2.2826470e+02 0.00e+00 7.66e-07  -8.6 4.88e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2826470e+02 0.00e+00 1.49e-07  -8.6 2.34e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2826470e+02 0.00e+00 2.74e-08  -8.6 1.01e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2826470e+02 0.00e+00 2.61e-09  -8.6 2.99e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.3029085508072253e+01    2.2826470147059541e+02\n",
      "Dual infeasibility......:   2.6140156705878326e-09    2.5910169401952000e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6620038494860732e-09    2.6385829077039176e-08\n",
      "Overall NLP error.......:   2.6620038494860732e-09    2.6385829077039176e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.618\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (222.22us)   5.19ms (192.33us)        27\n",
      "       nlp_g  |   4.00ms (148.15us)   4.51ms (167.11us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.02ms (  1.02ms)         1\n",
      "  nlp_grad_f  |  16.00ms (571.43us)  14.19ms (506.75us)        28\n",
      "  nlp_hess_l  | 362.00ms ( 13.92ms) 362.19ms ( 13.93ms)        26\n",
      "   nlp_jac_g  | 102.00ms (  3.64ms) 106.66ms (  3.81ms)        28\n",
      "       total  | 620.00ms (620.00ms) 620.04ms (620.04ms)         1\n",
      "[9.86663, 9.88655, 9.98205, 0.140938, 0.120751, -0.0347919, -0.0123728, 0.0142546, 0.00311696, 0.0117857, -0.0132453, -0.00220909]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2850085e+02 9.11e-02 1.99e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3110650e+02 0.00e+00 2.77e+00  -1.0 1.57e-01  -4.0 3.72e-01 1.00e+00f  1\n",
      "   2  2.3029849e+02 0.00e+00 4.50e+00  -1.0 1.24e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3022676e+02 0.00e+00 2.54e-01  -1.0 1.39e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2930454e+02 0.00e+00 1.32e-02  -1.7 1.16e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2903901e+02 0.00e+00 1.53e-03  -2.5 9.16e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2901516e+02 0.00e+00 7.48e-03  -3.8 1.43e-02  -1.0 9.66e-01 1.00e+00h  1\n",
      "   7  2.2900244e+02 0.00e+00 1.30e-02  -3.8 3.02e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2896690e+02 0.00e+00 2.42e-02  -3.8 1.51e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2887505e+02 0.00e+00 1.96e-01  -3.8 1.44e-01  -0.6 1.00e+00 5.23e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2876774e+02 9.02e-06 1.17e-01  -3.8 3.52e-02  -0.2 1.00e+00 5.42e-01f  1\n",
      "  11  2.2866700e+02 2.07e-06 7.96e-02  -3.8 8.76e-02  -0.6 1.00e+00 3.59e-01f  1\n",
      "  12  2.2856443e+02 0.00e+00 5.36e-02  -3.8 1.37e-01  -1.1 1.00e+00 2.83e-01f  1\n",
      "  13  2.2847048e+02 0.00e+00 6.80e-02  -3.8 1.14e-01  -1.6 1.00e+00 3.76e-01h  1\n",
      "  14  2.2839842e+02 0.00e+00 1.52e-01  -3.8 6.63e-02  -2.1 1.00e+00 6.22e-01h  1\n",
      "  15  2.2836120e+02 0.00e+00 4.36e-02  -3.8 2.58e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2836121e+02 0.00e+00 1.16e-03  -3.8 8.25e-03  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2833625e+02 0.00e+00 2.20e-02  -5.7 1.77e-02  -3.5 9.13e-01 9.36e-01h  1\n",
      "  18  2.2833259e+02 0.00e+00 2.91e-03  -5.7 2.57e-02  -4.0 9.51e-01 1.00e+00h  1\n",
      "  19  2.2833226e+02 0.00e+00 2.31e-04  -5.7 2.80e-02  -4.5 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2833220e+02 0.00e+00 1.74e-05  -5.7 5.02e-03  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2833184e+02 0.00e+00 5.70e-05  -8.6 1.47e-02  -5.4 9.20e-01 9.78e-01h  1\n",
      "  22  2.2833181e+02 0.00e+00 4.27e-06  -8.6 9.47e-03  -5.9 1.00e+00 1.00e+00h  1\n",
      "  23  2.2833181e+02 0.00e+00 7.19e-07  -8.6 4.88e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2833181e+02 0.00e+00 1.45e-07  -8.6 2.35e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2833181e+02 0.00e+00 2.75e-08  -8.6 1.01e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2833181e+02 0.00e+00 2.68e-09  -8.6 2.99e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.2959432234756090e+01    2.2833181088046183e+02\n",
      "Dual infeasibility......:   2.6772823957799119e-09    2.6625603430271534e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6632751890699001e-09    2.6486301602562036e-08\n",
      "Overall NLP error.......:   2.6772823957799119e-09    2.6625603430271534e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.601\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   1.00ms ( 37.04us)   4.78ms (177.15us)        27\n",
      "       nlp_g  |   7.00ms (259.26us)   4.65ms (172.33us)        27\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 764.00us (764.00us)         1\n",
      "  nlp_grad_f  |  17.00ms (607.14us)  14.59ms (521.25us)        28\n",
      "  nlp_hess_l  | 354.00ms ( 13.62ms) 350.57ms ( 13.48ms)        26\n",
      "   nlp_jac_g  | 103.00ms (  3.68ms) 103.71ms (  3.70ms)        28\n",
      "       total  | 603.00ms (603.00ms) 602.50ms (602.50ms)         1\n",
      "[9.89464, 9.9107, 9.98971, 0.112933, 0.096459, -0.0279237, -0.0100214, 0.0116001, 0.00270791, 0.00975034, -0.0110495, -0.00224015]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2856172e+02 8.60e-02 2.02e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3114631e+02 0.00e+00 2.74e+00  -1.0 1.56e-01  -4.0 3.67e-01 1.00e+00f  1\n",
      "   2  2.3034378e+02 0.00e+00 4.58e+00  -1.0 1.24e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3027285e+02 0.00e+00 2.64e-01  -1.0 1.37e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2936145e+02 0.00e+00 1.36e-02  -1.7 1.15e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2910132e+02 0.00e+00 1.07e-03  -2.5 9.07e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2907787e+02 0.00e+00 7.62e-03  -3.8 1.51e-02  -1.0 9.62e-01 1.00e+00h  1\n",
      "   7  2.2906402e+02 0.00e+00 1.56e-02  -3.8 3.21e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2902369e+02 0.00e+00 2.96e-02  -3.8 1.61e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2892632e+02 0.00e+00 1.98e-01  -3.8 1.56e-01  -0.6 1.00e+00 4.65e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2888987e+02 2.13e-05 2.00e-01  -3.8 2.88e+00  -1.1 9.71e-02 7.59e-03h  1\n",
      "  11  2.2882259e+02 0.00e+00 1.91e-01  -3.8 1.40e+00  -1.5 1.83e-01 3.03e-02h  1\n",
      "  12  2.2865414e+02 0.00e+00 1.13e-01  -3.8 2.73e-01  -2.0 1.00e+00 2.81e-01h  1\n",
      "  13  2.2851507e+02 2.34e-07 1.50e-01  -3.8 9.42e-02  -2.5 1.00e+00 5.62e-01h  1\n",
      "  14  2.2842635e+02 0.00e+00 7.60e-02  -3.8 3.87e-02  -3.0 1.00e+00 1.00e+00f  1\n",
      "  15  2.2842420e+02 0.00e+00 1.68e-03  -3.8 1.38e-02  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2842320e+02 0.00e+00 1.20e-04  -3.8 1.74e-03  -3.9 1.00e+00 1.00e+00h  1\n",
      "  17  2.2839993e+02 0.00e+00 1.96e-02  -5.7 1.76e-02  -4.4 9.14e-01 8.95e-01h  1\n",
      "  18  2.2839553e+02 0.00e+00 3.35e-03  -5.7 2.71e-02  -4.9 9.45e-01 1.00e+00h  1\n",
      "  19  2.2839517e+02 0.00e+00 2.36e-04  -5.7 2.70e-02  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2839512e+02 0.00e+00 1.83e-05  -5.7 4.81e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  21  2.2839475e+02 0.00e+00 5.64e-05  -8.6 1.46e-02  -6.3 9.20e-01 9.78e-01h  1\n",
      "  22  2.2839473e+02 0.00e+00 4.14e-06  -8.6 9.39e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2839473e+02 0.00e+00 6.94e-07  -8.6 4.85e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2839473e+02 0.00e+00 1.43e-07  -8.6 2.33e-03  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2839473e+02 0.00e+00 2.61e-08  -8.6 1.01e-03  -8.2 1.00e+00 1.00e+00h  1\n",
      "  26  2.2839473e+02 0.00e+00 2.20e-09  -8.6 2.98e-04  -8.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 26\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.3282311234304256e+01    2.2839473065768206e+02\n",
      "Dual infeasibility......:   2.1957475837552920e-09    2.1539836528133775e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.6361044210154960e-09    2.5859647402026961e-08\n",
      "Overall NLP error.......:   2.6361044210154960e-09    2.5859647402026961e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 27\n",
      "Number of objective gradient evaluations             = 27\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 27\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 27\n",
      "Number of Lagrangian Hessian evaluations             = 26\n",
      "Total seconds in IPOPT                               = 0.608\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (259.26us)   5.12ms (189.78us)        27\n",
      "       nlp_g  |   2.00ms ( 74.07us)   4.14ms (153.19us)        27\n",
      "    nlp_grad  |        0 (       0) 704.00us (704.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (392.86us)  13.47ms (481.04us)        28\n",
      "  nlp_hess_l  | 358.00ms ( 13.77ms) 356.15ms ( 13.70ms)        26\n",
      "   nlp_jac_g  | 105.00ms (  3.75ms) 105.38ms (  3.76ms)        28\n",
      "       total  | 609.00ms (609.00ms) 609.39ms (609.39ms)         1\n",
      "[9.9171, 9.93, 9.99575, 0.0901556, 0.0767947, -0.0222913, -0.00807631, 0.00938569, 0.00228202, 0.00800006, -0.00912774, -0.00213211]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2860482e+02 7.77e-02 2.07e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3117245e+02 0.00e+00 2.75e+00  -1.0 1.54e-01  -4.0 3.59e-01 1.00e+00f  1\n",
      "   2  2.3037274e+02 0.00e+00 4.67e+00  -1.0 1.23e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3030305e+02 0.00e+00 2.72e-01  -1.0 1.35e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2940848e+02 0.00e+00 1.39e-02  -1.7 1.14e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2915661e+02 0.00e+00 7.73e-04  -2.5 8.93e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2913383e+02 0.00e+00 8.12e-03  -3.8 1.67e-02  -1.0 9.54e-01 1.00e+00h  1\n",
      "   7  2.2911747e+02 0.00e+00 2.20e-02  -3.8 3.63e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2906616e+02 0.00e+00 4.30e-02  -3.8 1.82e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2896015e+02 0.00e+00 1.98e-01  -3.8 1.77e-01  -0.6 1.00e+00 3.69e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2890549e+02 2.11e-05 1.97e-01  -3.8 7.76e-01  -1.1 5.06e-01 3.29e-02h  1\n",
      "  11  2.2876019e+02 0.00e+00 1.33e-01  -3.8 3.17e-01  -1.5 1.00e+00 2.19e-01h  1\n",
      "  12  2.2861007e+02 1.67e-05 1.26e-01  -3.8 1.27e-01  -2.0 1.00e+00 4.91e-01h  1\n",
      "  13  2.2849079e+02 0.00e+00 1.96e-01  -3.8 5.53e-02  -2.5 1.00e+00 1.00e+00h  1\n",
      "  14  2.2848160e+02 0.00e+00 3.76e-03  -3.8 1.93e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2847895e+02 0.00e+00 8.44e-04  -3.8 4.69e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2845533e+02 0.00e+00 2.11e-02  -5.7 1.75e-02  -3.9 9.15e-01 9.23e-01h  1\n",
      "  17  2.2845158e+02 0.00e+00 2.96e-03  -5.7 2.72e-02  -4.4 9.48e-01 1.00e+00h  1\n",
      "  18  2.2845125e+02 0.00e+00 2.20e-04  -5.7 2.69e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2845120e+02 0.00e+00 1.68e-05  -5.7 4.86e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2845084e+02 0.00e+00 5.50e-05  -8.6 1.45e-02  -5.8 9.21e-01 9.79e-01h  1\n",
      "  21  2.2845082e+02 0.00e+00 3.95e-06  -8.6 9.28e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2845082e+02 0.00e+00 6.65e-07  -8.6 4.79e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2845082e+02 0.00e+00 1.38e-07  -8.6 2.31e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2845082e+02 0.00e+00 2.35e-08  -8.6 9.94e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2845082e+02 0.00e+00 8.04e-09  -9.0 6.36e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.3824985931683653e+01    2.2845081958313131e+02\n",
      "Dual infeasibility......:   8.0375883726446773e-09    7.7070083334683587e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4724794248124090e-09    1.4119174398770393e-08\n",
      "Overall NLP error.......:   8.0375883726446773e-09    7.7070083334683587e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.579\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (153.85us)   4.97ms (191.27us)        26\n",
      "       nlp_g  |   6.00ms (230.77us)   4.45ms (171.08us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 902.00us (902.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (481.48us)  13.41ms (496.78us)        27\n",
      "  nlp_hess_l  | 335.00ms ( 13.40ms) 336.55ms ( 13.46ms)        25\n",
      "   nlp_jac_g  | 102.00ms (  3.78ms) 100.46ms (  3.72ms)        27\n",
      "       total  | 581.00ms (581.00ms) 580.60ms (580.60ms)         1\n",
      "[9.93505, 9.94536, 10.0005, 0.0717332, 0.0609526, -0.0177107, -0.00648016, 0.0075567, 0.00187034, 0.00651886, -0.00748029, -0.00194931]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2863530e+02 6.81e-02 2.13e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3118994e+02 0.00e+00 2.79e+00  -1.0 1.51e-01  -4.0 3.51e-01 1.00e+00f  1\n",
      "   2  2.3038985e+02 0.00e+00 4.76e+00  -1.0 1.22e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032188e+02 0.00e+00 2.79e-01  -1.0 1.33e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2944670e+02 0.00e+00 1.40e-02  -1.7 1.13e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2920409e+02 0.00e+00 5.77e-04  -2.5 8.75e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2918222e+02 0.00e+00 8.99e-03  -3.8 1.91e-02  -1.0 9.42e-01 1.00e+00h  1\n",
      "   7  2.2916168e+02 0.00e+00 3.45e-02  -3.8 4.25e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2909152e+02 0.00e+00 6.98e-02  -3.8 2.14e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2897871e+02 0.00e+00 1.96e-01  -3.8 2.09e-01  -0.6 1.00e+00 2.75e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2889489e+02 1.86e-06 1.86e-01  -3.8 4.09e-01  -1.1 1.00e+00 8.19e-02h  1\n",
      "  11  2.2873363e+02 6.61e-06 8.22e-02  -3.8 2.11e-01  -1.5 1.00e+00 3.52e-01h  1\n",
      "  12  2.2861089e+02 0.00e+00 1.71e-01  -3.8 9.82e-02  -2.0 1.00e+00 5.54e-01h  1\n",
      "  13  2.2853168e+02 0.00e+00 1.12e-01  -3.8 4.71e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2852776e+02 0.00e+00 2.14e-03  -3.8 1.78e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2852634e+02 0.00e+00 2.31e-04  -3.8 2.62e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2850400e+02 0.00e+00 1.97e-02  -5.7 1.72e-02  -3.9 9.16e-01 9.00e-01h  1\n",
      "  17  2.2849992e+02 0.00e+00 3.21e-03  -5.7 2.79e-02  -4.4 9.50e-01 1.00e+00h  1\n",
      "  18  2.2849958e+02 0.00e+00 2.23e-04  -5.7 2.65e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2849953e+02 0.00e+00 1.70e-05  -5.7 4.84e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2849918e+02 0.00e+00 5.42e-05  -8.6 1.44e-02  -5.8 9.22e-01 9.79e-01h  1\n",
      "  21  2.2849916e+02 0.00e+00 3.83e-06  -8.6 9.15e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2849916e+02 0.00e+00 6.51e-07  -8.6 4.73e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2849916e+02 0.00e+00 1.34e-07  -8.6 2.27e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2849916e+02 0.00e+00 2.14e-08  -8.6 9.80e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2849916e+02 0.00e+00 6.63e-09  -9.0 6.27e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.4481858427085655e+01    2.2849915909085621e+02\n",
      "Dual infeasibility......:   6.6305148038736661e-09    6.1885296066756205e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4719977801529624e-09    1.3738755003028519e-08\n",
      "Overall NLP error.......:   6.6305148038736661e-09    6.1885296066756205e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.579\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (230.77us)   4.75ms (182.54us)        26\n",
      "       nlp_g  |   5.00ms (192.31us)   4.45ms (171.35us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 747.00us (747.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (592.59us)  13.52ms (500.85us)        27\n",
      "  nlp_hess_l  | 333.00ms ( 13.32ms) 335.74ms ( 13.43ms)        25\n",
      "   nlp_jac_g  |  99.00ms (  3.67ms) 102.02ms (  3.78ms)        27\n",
      "       total  | 580.00ms (580.00ms) 579.98ms (579.98ms)         1\n",
      "[9.94935, 9.95755, 10.0042, 0.0569043, 0.0482439, -0.0140129, -0.00517926, 0.00605811, 0.00149017, 0.00528079, -0.00608943, -0.00173376]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2865698e+02 5.85e-02 2.19e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120219e+02 0.00e+00 2.85e+00  -1.0 1.48e-01  -4.0 3.44e-01 1.00e+00f  1\n",
      "   2  2.3039860e+02 0.00e+00 4.85e+00  -1.0 1.21e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033284e+02 0.00e+00 2.86e-01  -1.0 1.31e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2947740e+02 0.00e+00 1.40e-02  -1.7 1.11e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2924393e+02 0.00e+00 4.52e-04  -2.5 8.58e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2922323e+02 0.00e+00 1.03e-02  -3.8 2.24e-02  -1.0 9.25e-01 1.00e+00h  1\n",
      "   7  2.2919619e+02 0.00e+00 5.74e-02  -3.8 5.07e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2909622e+02 0.00e+00 1.19e-01  -3.8 2.55e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2898473e+02 0.00e+00 1.96e-01  -3.8 2.31e-01  -0.6 1.00e+00 2.02e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2887716e+02 4.34e-06 1.68e-01  -3.8 2.75e-01  -1.1 1.00e+00 1.48e-01h  1\n",
      "  11  2.2873094e+02 1.12e-05 7.21e-02  -3.8 1.80e-01  -1.5 1.00e+00 3.70e-01h  1\n",
      "  12  2.2863407e+02 0.00e+00 1.59e-01  -3.8 8.72e-02  -2.0 1.00e+00 5.30e-01h  1\n",
      "  13  2.2857066e+02 0.00e+00 1.11e-01  -3.8 4.59e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2856778e+02 0.00e+00 2.51e-03  -3.8 1.69e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2856631e+02 0.00e+00 2.78e-04  -3.8 2.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2854450e+02 0.00e+00 1.97e-02  -5.7 1.70e-02  -3.9 9.17e-01 9.02e-01h  1\n",
      "  17  2.2854057e+02 0.00e+00 3.14e-03  -5.7 2.85e-02  -4.4 9.52e-01 1.00e+00h  1\n",
      "  18  2.2854024e+02 0.00e+00 2.17e-04  -5.7 2.61e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2854019e+02 0.00e+00 1.64e-05  -5.7 4.82e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2853985e+02 0.00e+00 5.31e-05  -8.6 1.42e-02  -5.8 9.23e-01 9.80e-01h  1\n",
      "  21  2.2853983e+02 0.00e+00 3.72e-06  -8.6 9.02e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2853983e+02 0.00e+00 6.36e-07  -8.6 4.66e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2853983e+02 0.00e+00 1.30e-07  -8.6 2.24e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2853983e+02 0.00e+00 1.93e-08  -8.6 9.65e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2853983e+02 0.00e+00 5.45e-09  -9.0 6.19e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.5180597156319521e+01    2.2853983145539448e+02\n",
      "Dual infeasibility......:   5.4494364576385124e-09    4.9459243632076798e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4714719794905496e-09    1.3355122441951615e-08\n",
      "Overall NLP error.......:   5.4494364576385124e-09    4.9459243632076798e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.605\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (230.77us)   4.76ms (183.08us)        26\n",
      "       nlp_g  |   4.00ms (153.85us)   4.52ms (173.69us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 994.00us (994.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (555.56us)  13.97ms (517.44us)        27\n",
      "  nlp_hess_l  | 355.00ms ( 14.20ms) 352.31ms ( 14.09ms)        25\n",
      "   nlp_jac_g  | 106.00ms (  3.93ms) 108.44ms (  4.02ms)        27\n",
      "       total  | 607.00ms (607.00ms) 606.70ms (606.70ms)         1\n",
      "[9.9607, 9.96721, 10.0072, 0.045018, 0.0380873, -0.011047, -0.00412517, 0.00483843, 0.00114972, 0.00425639, -0.00492932, -0.0015122]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2867235e+02 4.94e-02 2.26e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3121122e+02 0.00e+00 2.93e+00  -1.0 1.46e-01  -4.0 3.38e-01 1.00e+00f  1\n",
      "   2  2.3040119e+02 0.00e+00 4.92e+00  -1.0 1.21e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033825e+02 0.00e+00 2.92e-01  -1.0 1.29e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2950176e+02 0.00e+00 1.40e-02  -1.7 1.10e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2927679e+02 0.00e+00 3.75e-04  -2.5 8.41e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2925768e+02 0.00e+00 1.21e-02  -3.8 2.68e-02  -1.0 9.05e-01 1.00e+00h  1\n",
      "   7  2.2922051e+02 0.00e+00 9.99e-02  -3.8 6.12e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2907511e+02 0.00e+00 2.07e-01  -3.8 3.04e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2898389e+02 2.21e-06 2.15e-01  -3.8 2.09e-01  -0.6 1.00e+00 1.55e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2886475e+02 0.00e+00 1.58e-01  -3.8 2.25e-01  -1.1 1.00e+00 2.08e-01h  1\n",
      "  11  2.2873820e+02 0.00e+00 6.60e-02  -3.8 1.58e-01  -1.5 1.00e+00 3.70e-01h  1\n",
      "  12  2.2865671e+02 0.00e+00 1.54e-01  -3.8 8.13e-02  -2.0 1.00e+00 5.20e-01h  1\n",
      "  13  2.2860306e+02 0.00e+00 1.12e-01  -3.8 4.41e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2860075e+02 0.00e+00 2.91e-03  -3.8 1.62e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2859925e+02 0.00e+00 3.25e-04  -3.8 2.67e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2857796e+02 0.00e+00 1.97e-02  -5.7 1.68e-02  -3.9 9.19e-01 9.03e-01h  1\n",
      "  17  2.2857416e+02 0.00e+00 3.08e-03  -5.7 2.91e-02  -4.4 9.55e-01 1.00e+00h  1\n",
      "  18  2.2857385e+02 0.00e+00 2.11e-04  -5.7 2.57e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2857380e+02 0.00e+00 1.59e-05  -5.7 4.78e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2857347e+02 0.00e+00 5.22e-05  -8.6 1.41e-02  -5.8 9.24e-01 9.80e-01h  1\n",
      "  21  2.2857345e+02 0.00e+00 3.62e-06  -8.6 8.89e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2857345e+02 0.00e+00 6.25e-07  -8.6 4.59e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2857345e+02 0.00e+00 1.26e-07  -8.6 2.21e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2857345e+02 0.00e+00 1.76e-08  -8.6 9.52e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2857345e+02 0.00e+00 4.61e-09  -9.0 6.10e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.5876785478498839e+01    2.2857345061252025e+02\n",
      "Dual infeasibility......:   4.6142929477355210e-09    4.0758728014238300e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4709269096673021e-09    1.2992913653082175e-08\n",
      "Overall NLP error.......:   4.6142929477355210e-09    4.0758728014238300e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.582\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 76.92us)   4.46ms (171.62us)        26\n",
      "       nlp_g  |   3.00ms (115.38us)   4.45ms (171.19us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 878.00us (878.00us)         1\n",
      "  nlp_grad_f  |  17.00ms (629.63us)  13.92ms (515.48us)        27\n",
      "  nlp_hess_l  | 342.00ms ( 13.68ms) 339.62ms ( 13.58ms)        25\n",
      "   nlp_jac_g  |  99.00ms (  3.67ms) 100.57ms (  3.72ms)        27\n",
      "       total  | 584.00ms (584.00ms) 583.98ms (583.98ms)         1\n",
      "[9.96968, 9.97482, 10.0094, 0.0355257, 0.0299981, -0.00868141, -0.00327533, 0.00385132, 0.000851346, 0.00341566, -0.00397082, -0.00130024]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2868327e+02 4.13e-02 2.32e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3121606e+02 0.00e+00 3.03e+00  -1.0 1.44e-01  -4.0 3.32e-01 1.00e+00f  1\n",
      "   2  2.3040002e+02 0.00e+00 4.99e+00  -1.0 1.22e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3034014e+02 0.00e+00 2.96e-01  -1.0 1.27e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2952095e+02 0.00e+00 1.39e-02  -1.7 1.09e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2930353e+02 0.00e+00 3.97e-04  -2.5 8.25e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2928677e+02 0.00e+00 1.45e-02  -3.8 3.26e-02  -1.0 8.79e-01 1.00e+00h  1\n",
      "   7  2.2923350e+02 0.00e+00 1.77e-01  -3.8 7.39e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2902462e+02 0.00e+00 3.33e-01  -3.8 3.51e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2895183e+02 0.00e+00 2.61e-01  -3.8 1.18e-01  -0.6 1.00e+00 2.16e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2884264e+02 0.00e+00 1.64e-01  -3.8 1.75e-01  -1.1 1.00e+00 2.50e-01f  1\n",
      "  11  2.2874402e+02 0.00e+00 6.06e-02  -3.8 1.36e-01  -1.5 1.00e+00 3.42e-01h  1\n",
      "  12  2.2867295e+02 0.00e+00 1.45e-01  -3.8 7.89e-02  -2.0 1.00e+00 5.28e-01h  1\n",
      "  13  2.2862909e+02 0.00e+00 1.08e-01  -3.8 4.14e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2862760e+02 0.00e+00 3.44e-03  -3.8 1.51e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2862607e+02 0.00e+00 3.82e-04  -3.8 2.84e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2860523e+02 0.00e+00 1.96e-02  -5.7 1.67e-02  -3.9 9.20e-01 9.04e-01h  1\n",
      "  17  2.2860156e+02 0.00e+00 3.01e-03  -5.7 2.96e-02  -4.4 9.58e-01 1.00e+00h  1\n",
      "  18  2.2860125e+02 0.00e+00 2.06e-04  -5.7 2.53e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2860121e+02 0.00e+00 1.55e-05  -5.7 4.75e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2860089e+02 0.00e+00 5.14e-05  -8.6 1.40e-02  -5.8 9.24e-01 9.81e-01h  1\n",
      "  21  2.2860087e+02 0.00e+00 3.53e-06  -8.6 8.78e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2860087e+02 0.00e+00 6.15e-07  -8.6 4.53e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2860087e+02 0.00e+00 1.23e-07  -8.6 2.18e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2860087e+02 0.00e+00 1.61e-08  -8.6 9.39e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2860087e+02 0.00e+00 4.02e-09  -9.0 6.02e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.6538117336670247e+01    2.2860086704504812e+02\n",
      "Dual infeasibility......:   4.0235619280792889e-09    3.4659193555430167e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4703904521492415e-09    1.2666027811686950e-08\n",
      "Overall NLP error.......:   4.0235619280792889e-09    3.4659193555430167e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.585\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (115.38us)   4.72ms (181.69us)        26\n",
      "       nlp_g  |   7.00ms (269.23us)   4.51ms (173.65us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 925.00us (925.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (592.59us)  13.70ms (507.33us)        27\n",
      "  nlp_hess_l  | 342.00ms ( 13.68ms) 342.19ms ( 13.69ms)        25\n",
      "   nlp_jac_g  | 101.00ms (  3.74ms) 102.35ms (  3.79ms)        27\n",
      "       total  | 587.00ms (587.00ms) 586.87ms (586.87ms)         1\n",
      "[9.97678, 9.98082, 10.0112, 0.0279703, 0.0235752, -0.00680373, -0.00259319, 0.00305631, 0.000593899, 0.00273036, -0.00318507, -0.00110615]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2869096e+02 3.41e-02 2.37e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3121567e+02 0.00e+00 3.12e+00  -1.0 1.44e-01  -4.0 3.28e-01 1.00e+00f  1\n",
      "   2  2.3039671e+02 0.00e+00 5.05e+00  -1.0 1.23e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033981e+02 0.00e+00 3.00e-01  -1.0 1.25e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2953595e+02 0.00e+00 1.38e-02  -1.7 1.08e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2932507e+02 0.00e+00 4.52e-04  -2.5 8.12e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2931206e+02 0.00e+00 1.80e-02  -3.8 4.04e-02  -1.0 8.46e-01 1.00e+00h  1\n",
      "   7  2.2923232e+02 0.00e+00 3.17e-01  -3.8 8.84e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2906374e+02 4.35e-06 2.68e-01  -3.8 3.73e-02  -0.1 1.00e+00 5.95e-01h  1\n",
      "   9  2.2896125e+02 2.60e-06 1.80e-01  -3.8 9.24e-02  -0.6 1.00e+00 3.23e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2885700e+02 0.00e+00 1.00e-01  -3.8 1.44e-01  -1.1 1.00e+00 2.69e-01f  1\n",
      "  11  2.2876333e+02 0.00e+00 5.30e-02  -3.8 1.19e-01  -1.5 1.00e+00 3.50e-01h  1\n",
      "  12  2.2869157e+02 0.00e+00 1.58e-01  -3.8 7.11e-02  -2.0 1.00e+00 5.60e-01h  1\n",
      "  13  2.2864908e+02 0.00e+00 8.13e-02  -3.8 3.35e-02  -2.5 1.00e+00 1.00e+00f  1\n",
      "  14  2.2864874e+02 0.00e+00 2.85e-03  -3.8 1.19e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  15  2.2864760e+02 0.00e+00 2.44e-04  -3.8 2.23e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  16  2.2862737e+02 0.00e+00 1.92e-02  -5.7 1.65e-02  -3.9 9.21e-01 8.98e-01h  1\n",
      "  17  2.2862367e+02 0.00e+00 3.06e-03  -5.7 3.02e-02  -4.4 9.61e-01 1.00e+00h  1\n",
      "  18  2.2862337e+02 0.00e+00 2.05e-04  -5.7 2.50e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  19  2.2862333e+02 0.00e+00 1.53e-05  -5.7 4.70e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2862301e+02 0.00e+00 5.07e-05  -8.6 1.39e-02  -5.8 9.25e-01 9.81e-01h  1\n",
      "  21  2.2862299e+02 0.00e+00 3.47e-06  -8.6 8.68e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "  22  2.2862299e+02 0.00e+00 6.08e-07  -8.6 4.48e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  23  2.2862299e+02 0.00e+00 1.21e-07  -8.6 2.15e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  24  2.2862299e+02 0.00e+00 1.51e-08  -8.6 9.28e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  25  2.2862299e+02 0.00e+00 3.61e-09  -9.0 5.95e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 25\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.7146270303121131e+01    2.2862299205570670e+02\n",
      "Dual infeasibility......:   3.6135503478362807e-09    3.0432935472954638e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4698711711977958e-09    1.2379098172356636e-08\n",
      "Overall NLP error.......:   3.6135503478362807e-09    3.0432935472954638e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 26\n",
      "Number of objective gradient evaluations             = 26\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 26\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 26\n",
      "Number of Lagrangian Hessian evaluations             = 25\n",
      "Total seconds in IPOPT                               = 0.586\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (115.38us)   4.57ms (175.92us)        26\n",
      "       nlp_g  |   2.00ms ( 76.92us)   4.35ms (167.23us)        26\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 869.00us (869.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (703.70us)  13.97ms (517.41us)        27\n",
      "  nlp_hess_l  | 347.00ms ( 13.88ms) 344.86ms ( 13.79ms)        25\n",
      "   nlp_jac_g  |  96.00ms (  3.56ms)  97.76ms (  3.62ms)        27\n",
      "       total  | 587.00ms (587.00ms) 587.28ms (587.28ms)         1\n",
      "[9.98236, 9.98554, 10.0126, 0.0219747, 0.0184899, -0.00531949, -0.00204779, 0.00241872, 0.00037432, 0.002175, -0.00254514, -0.000933506]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2869634e+02 2.80e-02 2.42e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3121422e+02 0.00e+00 3.22e+00  -1.0 1.45e-01  -4.0 3.24e-01 1.00e+00f  1\n",
      "   2  2.3039220e+02 0.00e+00 5.10e+00  -1.0 1.24e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033816e+02 0.00e+00 3.03e-01  -1.0 1.24e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2954759e+02 0.00e+00 1.37e-02  -1.7 1.07e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2934229e+02 0.00e+00 4.98e-04  -2.5 7.99e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2933576e+02 0.00e+00 2.29e-02  -3.8 5.09e-02  -1.0 8.06e-01 1.00e+00h  1\n",
      "   7  2.2921641e+02 4.24e-06 4.56e-01  -3.8 1.06e-01  -0.5 1.00e+00 9.00e-01h  1\n",
      "   8  2.2911014e+02 0.00e+00 4.19e-01  -3.8 3.33e-01  -1.0 1.00e+00 1.05e-01h  1\n",
      "   9  2.2889620e+02 0.00e+00 1.04e-01  -3.8 1.72e-01  -1.5 1.00e+00 4.32e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2876838e+02 0.00e+00 9.65e-02  -3.8 7.90e-02  -2.0 1.00e+00 5.14e-01h  1\n",
      "  11  2.2866870e+02 0.00e+00 1.11e-01  -3.8 4.38e-02  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2866608e+02 0.00e+00 2.43e-03  -3.8 1.61e-02  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.2866484e+02 0.00e+00 2.47e-04  -3.8 2.59e-03  -3.4 1.00e+00 1.00e+00h  1\n",
      "  14  2.2864501e+02 0.00e+00 1.90e-02  -5.7 1.64e-02  -3.9 9.22e-01 8.97e-01h  1\n",
      "  15  2.2864137e+02 0.00e+00 3.05e-03  -5.7 3.06e-02  -4.4 9.65e-01 1.00e+00h  1\n",
      "  16  2.2864107e+02 0.00e+00 2.03e-04  -5.7 2.48e-02  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.2864103e+02 0.00e+00 1.50e-05  -5.7 4.66e-03  -5.3 1.00e+00 1.00e+00h  1\n",
      "  18  2.2864072e+02 0.00e+00 5.01e-05  -8.6 1.38e-02  -5.8 9.26e-01 9.82e-01h  1\n",
      "  19  2.2864070e+02 0.00e+00 3.42e-06  -8.6 8.59e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2864070e+02 0.00e+00 6.02e-07  -8.6 4.43e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.2864070e+02 0.00e+00 1.18e-07  -8.6 2.13e-03  -7.2 1.00e+00 1.00e+00h  1\n",
      "  22  2.2864070e+02 0.00e+00 1.42e-08  -8.6 9.18e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  23  2.2864070e+02 0.00e+00 3.37e-09  -9.0 5.89e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 23\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.7691354770809046e+01    2.2864069993306717e+02\n",
      "Dual infeasibility......:   3.3718521308401250e-09    2.7840553040719498e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4693415298248360e-09    1.2131991323661008e-08\n",
      "Overall NLP error.......:   3.3718521308401250e-09    2.7840553040719498e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 24\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 24\n",
      "Number of Lagrangian Hessian evaluations             = 23\n",
      "Total seconds in IPOPT                               = 0.537\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (291.67us)   4.36ms (181.67us)        24\n",
      "       nlp_g  |   6.00ms (250.00us)   3.88ms (161.62us)        24\n",
      "    nlp_grad  |        0 (       0) 759.00us (759.00us)         1\n",
      "  nlp_grad_f  |   8.00ms (320.00us)  11.95ms (477.92us)        25\n",
      "  nlp_hess_l  | 315.00ms ( 13.70ms) 312.61ms ( 13.59ms)        23\n",
      "   nlp_jac_g  |  93.00ms (  3.72ms)  93.25ms (  3.73ms)        25\n",
      "       total  | 538.00ms (538.00ms) 538.02ms (538.02ms)         1\n",
      "[9.98675, 9.98924, 10.0137, 0.01723, 0.0144739, -0.00415042, -0.00161324, 0.00190931, 0.000188661, 0.0017272, -0.0020269, -0.000783011]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870005e+02 2.28e-02 2.46e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3121221e+02 0.00e+00 3.31e+00  -1.0 1.45e-01  -4.0 3.21e-01 1.00e+00f  1\n",
      "   2  2.3038721e+02 0.00e+00 5.14e+00  -1.0 1.24e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033581e+02 0.00e+00 3.06e-01  -1.0 1.22e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2955659e+02 0.00e+00 1.36e-02  -1.7 1.06e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2935595e+02 0.00e+00 5.40e-04  -2.5 7.89e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2927710e+02 9.90e-05 4.64e-02  -3.8 6.54e-02  -1.0 7.54e-01 1.00e+00H  1\n",
      "   7  2.2917511e+02 5.47e-06 3.50e-01  -3.8 1.22e-01  -0.5 9.89e-01 6.99e-01h  1\n",
      "   8  2.2905983e+02 0.00e+00 3.15e-01  -3.8 3.15e-01  -1.0 1.00e+00 1.36e-01h  1\n",
      "   9  2.2887113e+02 0.00e+00 6.42e-02  -3.8 1.58e-01  -1.5 1.00e+00 4.55e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2876106e+02 0.00e+00 1.33e-01  -3.8 7.32e-02  -2.0 1.00e+00 5.35e-01h  1\n",
      "  11  2.2868129e+02 0.00e+00 9.39e-02  -3.8 3.79e-02  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2867940e+02 0.00e+00 1.93e-03  -3.8 1.34e-02  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.2867849e+02 0.00e+00 1.49e-04  -3.8 1.81e-03  -3.4 1.00e+00 1.00e+00h  1\n",
      "  14  2.2865909e+02 0.00e+00 1.87e-02  -5.7 1.62e-02  -3.9 9.22e-01 8.92e-01h  1\n",
      "  15  2.2865544e+02 0.00e+00 3.08e-03  -5.7 3.09e-02  -4.4 9.69e-01 1.00e+00h  1\n",
      "  16  2.2865514e+02 0.00e+00 2.02e-04  -5.7 2.45e-02  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.2865510e+02 0.00e+00 1.48e-05  -5.7 4.62e-03  -5.3 1.00e+00 1.00e+00h  1\n",
      "  18  2.2865480e+02 0.00e+00 4.97e-05  -8.6 1.37e-02  -5.8 9.26e-01 9.82e-01h  1\n",
      "  19  2.2865478e+02 0.00e+00 3.37e-06  -8.6 8.51e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2865478e+02 0.00e+00 5.98e-07  -8.6 4.39e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.2865478e+02 0.00e+00 1.16e-07  -8.6 2.11e-03  -7.2 1.00e+00 1.00e+00h  1\n",
      "  22  2.2865478e+02 0.00e+00 1.34e-08  -8.6 9.10e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "  23  2.2865478e+02 0.00e+00 3.16e-09  -9.0 5.84e-04  -8.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 23\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.8169830000215043e+01    2.2865477928457906e+02\n",
      "Dual infeasibility......:   3.1576519177178852e-09    2.5630690788613178e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4689053751142343e-09    1.1923118965720171e-08\n",
      "Overall NLP error.......:   3.1576519177178852e-09    2.5630690788613178e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 25\n",
      "Number of objective gradient evaluations             = 24\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 25\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 24\n",
      "Number of Lagrangian Hessian evaluations             = 23\n",
      "Total seconds in IPOPT                               = 0.542\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 80.00us)   4.13ms (165.04us)        25\n",
      "       nlp_g  |   1.00ms ( 40.00us)   3.97ms (159.00us)        25\n",
      "    nlp_grad  |        0 (       0) 801.00us (801.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (520.00us)  12.33ms (493.20us)        25\n",
      "  nlp_hess_l  | 315.00ms ( 13.70ms) 316.41ms ( 13.76ms)        23\n",
      "   nlp_jac_g  |  96.00ms (  3.84ms)  95.71ms (  3.83ms)        25\n",
      "       total  | 543.00ms (543.00ms) 543.42ms (543.42ms)         1\n",
      "[9.9902, 9.99213, 10.0145, 0.0134845, 0.01131, -0.00323241, -0.0012681, 0.00150367, 3.27131e-05, 0.00136771, -0.00160924, -0.000653715]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870256e+02 1.85e-02 2.50e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120998e+02 0.00e+00 3.39e+00  -1.0 1.45e-01  -4.0 3.18e-01 1.00e+00f  1\n",
      "   2  2.3038219e+02 0.00e+00 5.17e+00  -1.0 1.25e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033317e+02 0.00e+00 3.09e-01  -1.0 1.21e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2956350e+02 0.00e+00 1.36e-02  -1.7 1.05e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2936674e+02 0.00e+00 5.75e-04  -2.5 7.80e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2924197e+02 3.95e-04 1.35e-01  -3.8 9.14e-02  -1.0 6.79e-01 1.00e+00H  1\n",
      "   7  2.2911782e+02 5.91e-06 3.33e-01  -3.8 1.31e-01  -0.5 9.00e-01 5.27e-01h  1\n",
      "   8  2.2899017e+02 0.00e+00 2.75e-01  -3.8 2.65e-01  -1.0 1.00e+00 2.02e-01h  1\n",
      "   9  2.2883117e+02 0.00e+00 6.82e-02  -3.8 1.34e-01  -1.5 1.00e+00 4.98e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2874054e+02 0.00e+00 1.62e-01  -3.8 6.12e-02  -2.0 1.00e+00 6.12e-01h  1\n",
      "  11  2.2868994e+02 0.00e+00 5.38e-02  -3.8 2.50e-02  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2868969e+02 0.00e+00 1.07e-03  -3.8 8.26e-03  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.2866958e+02 0.00e+00 2.07e-02  -5.7 1.61e-02  -3.4 9.22e-01 9.27e-01h  1\n",
      "  14  2.2866655e+02 0.00e+00 2.69e-03  -5.7 3.00e-02  -3.9 9.77e-01 1.00e+00h  1\n",
      "  15  2.2866627e+02 0.00e+00 1.94e-04  -5.7 2.53e-02  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  2.2866623e+02 0.00e+00 1.36e-05  -5.7 4.72e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.2866593e+02 0.00e+00 4.90e-05  -8.6 1.36e-02  -5.3 9.27e-01 9.82e-01h  1\n",
      "  18  2.2866592e+02 0.00e+00 3.31e-06  -8.6 8.46e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  19  2.2866591e+02 0.00e+00 5.88e-07  -8.6 4.36e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2866591e+02 0.00e+00 1.14e-07  -8.6 2.09e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.2866591e+02 0.00e+00 1.26e-08  -8.6 9.01e-04  -7.2 1.00e+00 1.00e+00h  1\n",
      "  22  2.2866591e+02 0.00e+00 2.91e-09  -9.0 5.79e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.8582632532878929e+01    2.2866591413940318e+02\n",
      "Dual infeasibility......:   2.9105535759299528e-09    2.3284922874971298e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4675755942039654e-09    1.1740853975969527e-08\n",
      "Overall NLP error.......:   2.9105535759299528e-09    2.3284922874971298e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.533\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   8.00ms (333.33us)   4.47ms (186.42us)        24\n",
      "       nlp_g  |   3.00ms (125.00us)   4.33ms (180.37us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 904.00us (904.00us)         1\n",
      "  nlp_grad_f  |   7.00ms (291.67us)  12.53ms (522.08us)        24\n",
      "  nlp_hess_l  | 304.00ms ( 13.82ms) 303.67ms ( 13.80ms)        22\n",
      "   nlp_jac_g  |  95.00ms (  3.96ms)  95.58ms (  3.98ms)        24\n",
      "       total  | 535.00ms (535.00ms) 534.35ms (534.35ms)         1\n",
      "[9.99289, 9.99439, 10.0152, 0.0105347, 0.00882292, -0.00251344, -0.00099475, 0.00118166, -9.76218e-05, 0.00108023, -0.00127407, -0.000543811]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870422e+02 1.49e-02 2.53e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120772e+02 0.00e+00 3.47e+00  -1.0 1.45e-01  -4.0 3.16e-01 1.00e+00f  1\n",
      "   2  2.3037743e+02 0.00e+00 5.20e+00  -1.0 1.25e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3033051e+02 0.00e+00 3.11e-01  -1.0 1.20e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2956880e+02 0.00e+00 1.35e-02  -1.7 1.05e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2937522e+02 0.00e+00 6.04e-04  -2.5 7.73e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2914803e+02 1.21e-03 4.14e-01  -3.8 1.36e-01  -1.0 5.80e-01 1.00e+00H  1\n",
      "   7  2.2903400e+02 5.61e-06 3.80e-01  -3.8 1.22e-01  -0.5 8.37e-01 3.75e-01h  1\n",
      "   8  2.2890645e+02 0.00e+00 2.53e-01  -3.8 2.04e-01  -1.0 1.00e+00 3.11e-01h  1\n",
      "   9  2.2878623e+02 1.06e-05 1.12e-01  -3.8 1.09e-01  -1.5 1.00e+00 5.51e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2871640e+02 1.22e-05 1.89e-01  -3.8 4.90e-02  -2.0 1.00e+00 8.03e-01h  1\n",
      "  11  2.2869750e+02 0.00e+00 7.32e-03  -3.8 1.05e-02  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2869776e+02 0.00e+00 7.41e-05  -3.8 1.63e-03  -2.9 1.00e+00 1.00e+00h  1\n",
      "  13  2.2867894e+02 0.00e+00 1.83e-02  -5.7 1.60e-02  -3.4 9.24e-01 8.89e-01h  1\n",
      "  14  2.2867532e+02 0.00e+00 3.10e-03  -5.7 3.05e-02  -3.9 9.82e-01 1.00e+00h  1\n",
      "  15  2.2867504e+02 0.00e+00 2.01e-04  -5.7 2.52e-02  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  2.2867500e+02 0.00e+00 1.42e-05  -5.7 4.65e-03  -4.8 1.00e+00 1.00e+00h  1\n",
      "  17  2.2867470e+02 0.00e+00 4.89e-05  -8.6 1.35e-02  -5.3 9.27e-01 9.82e-01h  1\n",
      "  18  2.2867468e+02 0.00e+00 3.30e-06  -8.6 8.40e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  19  2.2867468e+02 0.00e+00 5.89e-07  -8.6 4.33e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2867468e+02 0.00e+00 1.13e-07  -8.6 2.08e-03  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.2867468e+02 0.00e+00 1.23e-08  -8.6 8.95e-04  -7.2 1.00e+00 1.00e+00h  1\n",
      "  22  2.2867468e+02 0.00e+00 2.74e-09  -9.0 5.75e-04  -7.7 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 22\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.8933629971753568e+01    2.2867468214019345e+02\n",
      "Dual infeasibility......:   2.7369537747290451e-09    2.1631300154165724e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4671328139157338e-09    1.1595369478601745e-08\n",
      "Overall NLP error.......:   2.7369537747290451e-09    2.1631300154165724e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 24\n",
      "Number of objective gradient evaluations             = 23\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 24\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 23\n",
      "Number of Lagrangian Hessian evaluations             = 22\n",
      "Total seconds in IPOPT                               = 0.519\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (208.33us)   4.67ms (194.67us)        24\n",
      "       nlp_g  |   5.00ms (208.33us)   4.40ms (183.17us)        24\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 740.00us (740.00us)         1\n",
      "  nlp_grad_f  |  13.00ms (541.67us)  12.35ms (514.50us)        24\n",
      "  nlp_hess_l  | 301.00ms ( 13.68ms) 300.21ms ( 13.65ms)        22\n",
      "   nlp_jac_g  |  91.00ms (  3.79ms)  89.86ms (  3.74ms)        24\n",
      "       total  | 520.00ms (520.00ms) 520.23ms (520.23ms)         1\n",
      "[9.995, 9.99616, 10.0157, 0.00821663, 0.00687182, -0.00195164, -0.000778832, 0.000926739, -0.000206131, 0.000851144, -0.00100613, -0.00045113]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870528e+02 1.20e-02 2.56e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120558e+02 0.00e+00 3.54e+00  -1.0 1.45e-01  -4.0 3.15e-01 1.00e+00f  1\n",
      "   2  2.3037309e+02 0.00e+00 5.23e+00  -1.0 1.26e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032799e+02 0.00e+00 3.13e-01  -1.0 1.19e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2957284e+02 0.00e+00 1.34e-02  -1.7 1.04e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2938187e+02 0.00e+00 6.27e-04  -2.5 7.67e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2920535e+02 0.00e+00 5.00e-01  -3.8 2.26e-01  -1.0 4.45e-01 7.47e-01H  1\n",
      "   7  2.2904944e+02 3.00e-06 3.74e-01  -3.8 1.10e-01  -0.5 8.14e-01 4.70e-01h  1\n",
      "   8  2.2891362e+02 0.00e+00 2.13e-01  -3.8 1.64e-01  -1.0 1.00e+00 3.63e-01h  1\n",
      "   9  2.2879162e+02 1.15e-05 1.16e-01  -3.8 1.01e-01  -1.5 1.00e+00 5.61e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2871700e+02 1.41e-05 1.90e-01  -3.8 4.53e-02  -2.0 1.00e+00 8.86e-01h  1\n",
      "  11  2.2870467e+02 0.00e+00 1.13e-03  -3.8 8.40e-03  -2.4 1.00e+00 1.00e+00f  1\n",
      "  12  2.2868539e+02 0.00e+00 1.98e-02  -5.7 1.59e-02  -2.9 9.24e-01 9.13e-01h  1\n",
      "  13  2.2868219e+02 0.00e+00 2.91e-03  -5.7 2.81e-02  -3.4 9.99e-01 1.00e+00h  1\n",
      "  14  2.2868191e+02 0.00e+00 2.02e-04  -5.7 2.75e-02  -3.9 1.00e+00 1.00e+00h  1\n",
      "  15  2.2868187e+02 0.00e+00 1.30e-05  -5.7 5.17e-03  -4.4 1.00e+00 1.00e+00h  1\n",
      "  16  2.2868158e+02 0.00e+00 4.82e-05  -8.6 1.34e-02  -4.8 9.28e-01 9.83e-01h  1\n",
      "  17  2.2868156e+02 0.00e+00 3.24e-06  -8.6 8.39e-03  -5.3 1.00e+00 1.00e+00h  1\n",
      "  18  2.2868156e+02 0.00e+00 5.79e-07  -8.6 4.30e-03  -5.8 1.00e+00 1.00e+00h  1\n",
      "  19  2.2868156e+02 0.00e+00 1.10e-07  -8.6 2.06e-03  -6.3 1.00e+00 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2868156e+02 0.00e+00 1.16e-08  -8.6 8.86e-04  -6.7 1.00e+00 1.00e+00h  1\n",
      "  21  2.2868156e+02 0.00e+00 2.67e-09  -9.0 5.70e-04  -7.2 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 21\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9228406664158776e+01    2.2868156178730598e+02\n",
      "Dual infeasibility......:   2.6667521524359472e-09    2.0864532717293915e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4635095974944564e-09    1.1450424386497300e-08\n",
      "Overall NLP error.......:   2.6667521524359472e-09    2.0864532717293915e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 23\n",
      "Number of objective gradient evaluations             = 22\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 23\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 22\n",
      "Number of Lagrangian Hessian evaluations             = 21\n",
      "Total seconds in IPOPT                               = 0.500\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (217.39us)   4.20ms (182.43us)        23\n",
      "       nlp_g  |   5.00ms (217.39us)   3.84ms (166.91us)        23\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.02ms (  1.02ms)         1\n",
      "  nlp_grad_f  |  11.00ms (478.26us)  11.42ms (496.52us)        23\n",
      "  nlp_hess_l  | 286.00ms ( 13.62ms) 287.86ms ( 13.71ms)        21\n",
      "   nlp_jac_g  |  85.00ms (  3.70ms)  85.30ms (  3.71ms)        23\n",
      "       total  | 502.00ms (502.00ms) 501.30ms (501.30ms)         1\n",
      "[9.99664, 9.99753, 10.0161, 0.00639859, 0.00534416, -0.00151352, -0.000608687, 0.000725444, -0.0002962, 0.000669158, -0.000792655, -0.000373439]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870592e+02 9.58e-03 2.58e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120362e+02 0.00e+00 3.60e+00  -1.0 1.45e-01  -4.0 3.13e-01 1.00e+00f  1\n",
      "   2  2.3036925e+02 0.00e+00 5.25e+00  -1.0 1.26e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032569e+02 0.00e+00 3.14e-01  -1.0 1.19e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2957592e+02 0.00e+00 1.34e-02  -1.7 1.04e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2938707e+02 0.00e+00 6.46e-04  -2.5 7.62e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938682e+02 0.00e+00 2.13e-02  -3.8 4.92e-01  -1.0 2.63e-01 4.24e-02h  4\n",
      "   7  2.2935501e+02 0.00e+00 9.46e-03  -3.8 3.28e-02  -0.5 9.96e-01 1.00e+00h  1\n",
      "   8  2.2931587e+02 0.00e+00 3.48e-02  -3.8 2.28e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2922855e+02 4.26e-07 2.07e-01  -3.8 4.72e-01  -0.6 4.28e-01 1.40e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2911362e+02 5.40e-08 1.58e-01  -3.8 4.70e-02  -0.2 1.00e+00 5.77e-01h  1\n",
      "  11  2.2904592e+02 0.00e+00 1.43e-01  -3.8 2.06e-01  -0.6 1.00e+00 1.46e-01f  1\n",
      "  12  2.2893155e+02 0.00e+00 1.08e-01  -3.8 2.11e-01  -1.1 1.00e+00 2.51e-01h  1\n",
      "  13  2.2883348e+02 2.68e-06 7.04e-02  -3.8 1.36e-01  -1.6 1.00e+00 3.40e-01h  1\n",
      "  14  2.2875977e+02 2.39e-06 1.77e-01  -3.8 7.72e-02  -2.1 1.00e+00 5.34e-01h  1\n",
      "  15  2.2871201e+02 0.00e+00 1.02e-01  -3.8 3.77e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2871119e+02 0.00e+00 4.29e-03  -3.8 1.45e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2870972e+02 0.00e+00 4.65e-04  -3.8 2.94e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2869086e+02 0.00e+00 1.91e-02  -5.7 1.59e-02  -4.0 9.24e-01 9.03e-01h  1\n",
      "  19  2.2868756e+02 0.00e+00 2.86e-03  -5.7 3.20e-02  -4.5 9.79e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2868729e+02 0.00e+00 1.93e-04  -5.7 2.38e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2868725e+02 0.00e+00 1.37e-05  -5.7 4.49e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2868696e+02 0.00e+00 4.83e-05  -8.6 1.35e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2868695e+02 0.00e+00 3.25e-06  -8.6 8.31e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2868694e+02 0.00e+00 5.83e-07  -8.6 4.29e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2868694e+02 0.00e+00 1.11e-07  -8.6 2.06e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2868694e+02 0.00e+00 1.16e-08  -8.6 8.88e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2868694e+02 0.00e+00 2.60e-09  -9.0 5.70e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9473369506974596e+01    2.2868694381697432e+02\n",
      "Dual infeasibility......:   2.5990516405727249e-09    2.0166312384622931e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4678064175452215e-09    1.1388862873785968e-08\n",
      "Overall NLP error.......:   2.5990516405727249e-09    2.0166312384622931e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 33\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 33\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.637\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms ( 90.91us)   6.20ms (187.82us)        33\n",
      "       nlp_g  |   6.00ms (181.82us)   5.78ms (175.06us)        33\n",
      "    nlp_grad  |        0 (       0) 732.00us (732.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (655.17us)  14.34ms (494.38us)        29\n",
      "  nlp_hess_l  | 364.00ms ( 13.48ms) 365.29ms ( 13.53ms)        27\n",
      "   nlp_jac_g  | 105.00ms (  3.62ms) 109.36ms (  3.77ms)        29\n",
      "       total  | 638.00ms (638.00ms) 637.87ms (637.87ms)         1\n",
      "[9.99792, 9.9986, 10.0164, 0.00497543, 0.0041502, -0.00117244, -0.000474909, 0.000566868, -0.000370791, 0.000525003, -0.000623109, -0.000308608]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870628e+02 7.64e-03 2.60e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120187e+02 0.00e+00 3.65e+00  -1.0 1.45e-01  -4.0 3.12e-01 1.00e+00f  1\n",
      "   2  2.3036592e+02 0.00e+00 5.26e+00  -1.0 1.26e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032365e+02 0.00e+00 3.16e-01  -1.0 1.18e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2957825e+02 0.00e+00 1.33e-02  -1.7 1.04e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2939111e+02 0.00e+00 6.61e-04  -2.5 7.58e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2939103e+02 0.00e+00 2.70e-02  -3.8 1.02e+01  -1.0 1.66e-02 1.03e-03h  5\n",
      "   7  2.2936960e+02 0.00e+00 4.98e-03  -3.8 1.62e-02  -0.5 1.00e+00 1.00e+00h  1\n",
      "   8  2.2936035e+02 0.00e+00 9.72e-03  -3.8 1.27e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2932940e+02 0.00e+00 1.23e-01  -3.8 5.97e-01  -0.6 2.93e-01 1.60e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2924962e+02 0.00e+00 9.23e-02  -3.8 3.77e-02  -0.2 1.00e+00 4.63e-01h  1\n",
      "  11  2.2920663e+02 0.00e+00 1.37e-01  -3.8 1.26e+02  -0.6 1.57e-03 6.38e-04f  1\n",
      "  12  2.2915831e+02 0.00e+00 1.94e-01  -3.8 9.55e-01  -1.1 4.06e-01 2.61e-02h  1\n",
      "  13  2.2901884e+02 0.00e+00 1.51e-01  -3.8 2.90e-01  -1.6 1.00e+00 1.92e-01h  1\n",
      "  14  2.2885813e+02 0.00e+00 2.21e-01  -3.8 1.39e-01  -2.1 1.00e+00 4.93e-01h  1\n",
      "  15  2.2873030e+02 0.00e+00 2.26e-01  -3.8 6.70e-02  -2.6 1.00e+00 9.67e-01h  1\n",
      "  16  2.2871671e+02 0.00e+00 3.84e-03  -3.8 2.91e-02  -3.0 1.00e+00 1.00e+00f  1\n",
      "  17  2.2871398e+02 0.00e+00 1.10e-03  -3.8 8.27e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2869478e+02 0.00e+00 2.02e-02  -5.7 1.59e-02  -4.0 9.24e-01 9.19e-01h  1\n",
      "  19  2.2869175e+02 0.00e+00 2.70e-03  -5.7 3.20e-02  -4.5 9.80e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2869149e+02 0.00e+00 1.92e-04  -5.7 2.37e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2869145e+02 0.00e+00 1.33e-05  -5.7 4.48e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2869116e+02 0.00e+00 4.80e-05  -8.6 1.34e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2869115e+02 0.00e+00 3.22e-06  -8.6 8.28e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2869114e+02 0.00e+00 5.80e-07  -8.6 4.27e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2869114e+02 0.00e+00 1.10e-07  -8.6 2.06e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2869114e+02 0.00e+00 1.13e-08  -8.6 8.85e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2869114e+02 0.00e+00 2.48e-09  -9.0 5.68e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9675093755962301e+01    2.2869114383010009e+02\n",
      "Dual infeasibility......:   2.4805615339573706e-09    1.9116450286789092e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4676851061045464e-09    1.1310716941880348e-08\n",
      "Overall NLP error.......:   2.4805615339573706e-09    1.9116450286789092e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 34\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 34\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.650\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (147.06us)   6.06ms (178.24us)        34\n",
      "       nlp_g  |   6.00ms (176.47us)   5.67ms (166.79us)        34\n",
      "    nlp_grad  |        0 (       0) 847.00us (847.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (413.79us)  14.36ms (495.28us)        29\n",
      "  nlp_hess_l  | 378.00ms ( 14.00ms) 376.86ms ( 13.96ms)        27\n",
      "   nlp_jac_g  | 113.00ms (  3.90ms) 111.78ms (  3.85ms)        29\n",
      "       total  | 651.00ms (651.00ms) 651.46ms (651.46ms)         1\n",
      "[9.99892, 9.99943, 10.0166, 0.00386335, 0.00321861, -0.000907311, -0.000369943, 0.000442217, -0.000432454, 0.000411113, -0.000488828, -0.000254696]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870645e+02 6.07e-03 2.62e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3120035e+02 0.00e+00 3.69e+00  -1.0 1.45e-01  -4.0 3.11e-01 1.00e+00f  1\n",
      "   2  2.3036308e+02 0.00e+00 5.28e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032188e+02 0.00e+00 3.16e-01  -1.0 1.18e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958002e+02 0.00e+00 1.33e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2939426e+02 0.00e+00 6.73e-04  -2.5 7.55e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2937699e+02 0.00e+00 2.71e-03  -3.8 3.14e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2935984e+02 0.00e+00 8.37e-03  -3.8 2.92e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934627e+02 0.00e+00 1.22e-02  -3.8 1.59e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927870e+02 0.00e+00 2.48e-01  -3.8 7.35e-01  -0.6 2.48e-01 1.20e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2916716e+02 0.00e+00 1.90e-01  -3.8 5.22e-02  -0.2 1.00e+00 4.37e-01f  1\n",
      "  11  2.2908361e+02 0.00e+00 1.59e-01  -3.8 1.32e-01  -0.6 1.00e+00 2.06e-01f  1\n",
      "  12  2.2896271e+02 0.00e+00 1.02e-01  -3.8 1.94e-01  -1.1 1.00e+00 2.45e-01h  1\n",
      "  13  2.2885949e+02 2.58e-06 6.96e-02  -3.8 1.34e-01  -1.6 1.00e+00 3.28e-01h  1\n",
      "  14  2.2877641e+02 2.18e-06 1.74e-01  -3.8 7.81e-02  -2.1 1.00e+00 5.29e-01h  1\n",
      "  15  2.2871979e+02 0.00e+00 1.08e-01  -3.8 3.86e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2871869e+02 0.00e+00 5.24e-03  -3.8 1.51e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2871697e+02 0.00e+00 6.29e-04  -3.8 3.38e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2869818e+02 0.00e+00 1.94e-02  -5.7 1.59e-02  -4.0 9.24e-01 9.09e-01h  1\n",
      "  19  2.2869502e+02 0.00e+00 2.77e-03  -5.7 3.22e-02  -4.5 9.83e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2869476e+02 0.00e+00 1.90e-04  -5.7 2.36e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2869472e+02 0.00e+00 1.34e-05  -5.7 4.45e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2869443e+02 0.00e+00 4.79e-05  -8.6 1.34e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2869442e+02 0.00e+00 3.22e-06  -8.6 8.26e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2869442e+02 0.00e+00 5.79e-07  -8.6 4.26e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2869441e+02 0.00e+00 1.10e-07  -8.6 2.05e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2869441e+02 0.00e+00 1.11e-08  -8.6 8.82e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2869441e+02 0.00e+00 2.38e-09  -9.0 5.67e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9839923209210749e+01    2.2869441458285979e+02\n",
      "Dual infeasibility......:   2.3782007474437705e-09    1.8226629602360766e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4674590555903839e-09    1.1246667335221860e-08\n",
      "Overall NLP error.......:   2.3782007474437705e-09    1.8226629602360766e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.664\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  11.00ms (379.31us)   5.44ms (187.69us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   5.10ms (176.00us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 949.00us (949.00us)         1\n",
      "  nlp_grad_f  |   9.00ms (310.34us)  14.07ms (485.31us)        29\n",
      "  nlp_hess_l  | 385.00ms ( 14.26ms) 385.22ms ( 14.27ms)        27\n",
      "   nlp_jac_g  | 115.00ms (  3.97ms) 113.32ms (  3.91ms)        29\n",
      "       total  | 665.00ms (665.00ms) 665.88ms (665.88ms)         1\n",
      "[9.99969, 10.0001, 10.0168, 0.00299579, 0.0024929, -0.000701497, -0.000287743, 0.000344432, -0.000483357, 0.000321351, -0.000382754, -0.000209983]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870651e+02 4.81e-03 2.63e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119905e+02 0.00e+00 3.72e+00  -1.0 1.45e-01  -4.0 3.11e-01 1.00e+00f  1\n",
      "   2  2.3036070e+02 0.00e+00 5.29e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3032037e+02 0.00e+00 3.17e-01  -1.0 1.17e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958136e+02 0.00e+00 1.33e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2939671e+02 0.00e+00 6.82e-04  -2.5 7.52e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2937950e+02 0.00e+00 2.70e-03  -3.8 3.13e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936146e+02 0.00e+00 8.62e-03  -3.8 3.01e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934711e+02 0.00e+00 1.26e-02  -3.8 1.64e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927723e+02 0.00e+00 2.45e-01  -3.8 8.00e-01  -0.6 2.30e-01 1.09e-01h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2916383e+02 0.00e+00 1.88e-01  -3.8 5.25e-02  -0.2 1.00e+00 4.53e-01f  1\n",
      "  11  2.2908266e+02 0.00e+00 1.57e-01  -3.8 1.33e-01  -0.6 1.00e+00 2.02e-01f  1\n",
      "  12  2.2896270e+02 0.00e+00 1.03e-01  -3.8 1.96e-01  -1.1 1.00e+00 2.44e-01h  1\n",
      "  13  2.2886044e+02 2.57e-06 7.02e-02  -3.8 1.34e-01  -1.6 1.00e+00 3.27e-01h  1\n",
      "  14  2.2877833e+02 2.14e-06 1.75e-01  -3.8 7.83e-02  -2.1 1.00e+00 5.27e-01h  1\n",
      "  15  2.2872229e+02 0.00e+00 1.10e-01  -3.8 3.88e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872118e+02 0.00e+00 5.38e-03  -3.8 1.53e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2871942e+02 0.00e+00 6.56e-04  -3.8 3.45e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870069e+02 0.00e+00 1.94e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.10e-01h  1\n",
      "  19  2.2869756e+02 0.00e+00 2.76e-03  -5.7 3.23e-02  -4.5 9.84e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2869730e+02 0.00e+00 1.89e-04  -5.7 2.36e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2869726e+02 0.00e+00 1.33e-05  -5.7 4.43e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2869697e+02 0.00e+00 4.78e-05  -8.6 1.34e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2869696e+02 0.00e+00 3.21e-06  -8.6 8.24e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2869696e+02 0.00e+00 5.78e-07  -8.6 4.25e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2869696e+02 0.00e+00 1.09e-07  -8.6 2.04e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2869696e+02 0.00e+00 1.10e-08  -8.6 8.80e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2869696e+02 0.00e+00 2.40e-09  -9.0 5.65e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   2.9973693978644381e+01    2.2869695714677130e+02\n",
      "Dual infeasibility......:   2.4039081836235709e-09    1.8341632741250697e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4673274662206648e-09    1.1195594607112380e-08\n",
      "Overall NLP error.......:   2.4039081836235709e-09    1.8341632741250697e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.629\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (206.90us)   5.27ms (181.76us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   5.14ms (177.21us)        29\n",
      "    nlp_grad  |        0 (       0) 771.00us (771.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (482.76us)  14.04ms (484.17us)        29\n",
      "  nlp_hess_l  | 371.00ms ( 13.74ms) 368.56ms ( 13.65ms)        27\n",
      "   nlp_jac_g  | 109.00ms (  3.76ms) 108.29ms (  3.73ms)        29\n",
      "       total  | 630.00ms (630.00ms) 630.71ms (630.71ms)         1\n",
      "[10.0003, 10.0006, 10.017, 0.00232007, 0.00192843, -0.000541918, -0.000223488, 0.000267869, -0.000525331, 0.000250762, -0.000299161, -0.000172976]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870649e+02 3.80e-03 2.64e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119795e+02 0.00e+00 3.76e+00  -1.0 1.45e-01  -4.0 3.10e-01 1.00e+00f  1\n",
      "   2  2.3035871e+02 0.00e+00 5.29e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031909e+02 0.00e+00 3.18e-01  -1.0 1.17e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958237e+02 0.00e+00 1.33e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2939860e+02 0.00e+00 6.90e-04  -2.5 7.50e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938144e+02 0.00e+00 2.70e-03  -3.8 3.12e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936264e+02 0.00e+00 8.84e-03  -3.8 3.08e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934762e+02 0.00e+00 1.33e-02  -3.8 1.69e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927592e+02 0.00e+00 2.42e-01  -3.8 8.57e-01  -0.6 2.16e-01 1.00e-01f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2916106e+02 0.00e+00 1.86e-01  -3.8 5.27e-02  -0.2 1.00e+00 4.67e-01f  1\n",
      "  11  2.2908176e+02 0.00e+00 1.56e-01  -3.8 1.34e-01  -0.6 1.00e+00 1.99e-01f  1\n",
      "  12  2.2896259e+02 0.00e+00 1.04e-01  -3.8 1.97e-01  -1.1 1.00e+00 2.44e-01h  1\n",
      "  13  2.2886110e+02 2.56e-06 7.07e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.27e-01h  1\n",
      "  14  2.2877978e+02 2.12e-06 1.76e-01  -3.8 7.84e-02  -2.1 1.00e+00 5.26e-01h  1\n",
      "  15  2.2872423e+02 0.00e+00 1.11e-01  -3.8 3.90e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872310e+02 0.00e+00 5.50e-03  -3.8 1.54e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872132e+02 0.00e+00 6.77e-04  -3.8 3.50e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870264e+02 0.00e+00 1.94e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.10e-01h  1\n",
      "  19  2.2869953e+02 0.00e+00 2.75e-03  -5.7 3.23e-02  -4.5 9.85e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2869927e+02 0.00e+00 1.89e-04  -5.7 2.35e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2869923e+02 0.00e+00 1.32e-05  -5.7 4.42e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2869895e+02 0.00e+00 4.77e-05  -8.6 1.34e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2869893e+02 0.00e+00 3.20e-06  -8.6 8.22e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2869893e+02 0.00e+00 5.77e-07  -8.6 4.24e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2869893e+02 0.00e+00 1.09e-07  -8.6 2.04e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2869893e+02 0.00e+00 1.09e-08  -8.6 8.78e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2869893e+02 0.00e+00 2.34e-09  -9.0 5.64e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0081624818521114e+01    2.2869893062092638e+02\n",
      "Dual infeasibility......:   2.3438531115971273e-09    1.7819406477829569e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4672205906982287e-09    1.1154709298518051e-08\n",
      "Overall NLP error.......:   2.3438531115971273e-09    1.7819406477829569e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.642\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (172.41us)   5.35ms (184.38us)        29\n",
      "       nlp_g  |   3.00ms (103.45us)   4.99ms (171.93us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 784.00us (784.00us)         1\n",
      "  nlp_grad_f  |  10.00ms (344.83us)  15.12ms (521.52us)        29\n",
      "  nlp_hess_l  | 360.00ms ( 13.33ms) 367.21ms ( 13.60ms)        27\n",
      "   nlp_jac_g  | 114.00ms (  3.93ms) 108.56ms (  3.74ms)        29\n",
      "       total  | 644.00ms (644.00ms) 643.36ms (643.36ms)         1\n",
      "[10.0008, 10.001, 10.0171, 0.00179454, 0.00149, -0.000418321, -0.000173344, 0.000208029, -0.000559913, 0.000195367, -0.00023343, -0.000142396]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870642e+02 2.99e-03 2.65e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119703e+02 0.00e+00 3.78e+00  -1.0 1.45e-01  -4.0 3.10e-01 1.00e+00f  1\n",
      "   2  2.3035708e+02 0.00e+00 5.30e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031803e+02 0.00e+00 3.18e-01  -1.0 1.17e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958314e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940007e+02 0.00e+00 6.96e-04  -2.5 7.48e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938295e+02 0.00e+00 2.69e-03  -3.8 3.12e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936349e+02 0.00e+00 9.01e-03  -3.8 3.14e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934790e+02 0.00e+00 1.41e-02  -3.8 1.72e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927479e+02 0.00e+00 2.39e-01  -3.8 9.06e-01  -0.6 2.05e-01 9.35e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915880e+02 0.00e+00 1.85e-01  -3.8 5.28e-02  -0.2 1.00e+00 4.78e-01f  1\n",
      "  11  2.2908097e+02 0.00e+00 1.55e-01  -3.8 1.35e-01  -0.6 1.00e+00 1.96e-01f  1\n",
      "  12  2.2896244e+02 0.00e+00 1.05e-01  -3.8 1.98e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886157e+02 2.55e-06 7.11e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878088e+02 2.10e-06 1.77e-01  -3.8 7.86e-02  -2.1 1.00e+00 5.25e-01h  1\n",
      "  15  2.2872573e+02 0.00e+00 1.12e-01  -3.8 3.92e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872460e+02 0.00e+00 5.59e-03  -3.8 1.55e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872280e+02 0.00e+00 6.95e-04  -3.8 3.54e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870415e+02 0.00e+00 1.95e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.11e-01h  1\n",
      "  19  2.2870106e+02 0.00e+00 2.74e-03  -5.7 3.24e-02  -4.5 9.86e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870080e+02 0.00e+00 1.88e-04  -5.7 2.35e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870076e+02 0.00e+00 1.31e-05  -5.7 4.41e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870048e+02 0.00e+00 4.76e-05  -8.6 1.33e-02  -5.9 9.28e-01 9.83e-01h  1\n",
      "  23  2.2870046e+02 0.00e+00 3.19e-06  -8.6 8.21e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870046e+02 0.00e+00 5.76e-07  -8.6 4.24e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870046e+02 0.00e+00 1.08e-07  -8.6 2.04e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870046e+02 0.00e+00 1.09e-08  -8.6 8.77e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870046e+02 0.00e+00 2.29e-09  -9.0 5.63e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0168260786467489e+01    2.2870046034785301e+02\n",
      "Dual infeasibility......:   2.2908608343641390e-09    1.7366626837399899e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4671343358127267e-09    1.1122096178080709e-08\n",
      "Overall NLP error.......:   2.2908608343641390e-09    1.7366626837399899e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.644\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 68.97us)   5.25ms (180.93us)        29\n",
      "       nlp_g  |   7.00ms (241.38us)   5.33ms (183.66us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 760.00us (760.00us)         1\n",
      "  nlp_grad_f  |  16.00ms (551.72us)  14.75ms (508.76us)        29\n",
      "  nlp_hess_l  | 374.00ms ( 13.85ms) 372.58ms ( 13.80ms)        27\n",
      "   nlp_jac_g  | 119.00ms (  4.10ms) 113.26ms (  3.91ms)        29\n",
      "       total  | 645.00ms (645.00ms) 644.79ms (644.79ms)         1\n",
      "[10.0011, 10.0013, 10.0171, 0.00138641, 0.00114993, -0.000322685, -0.000134277, 0.000161338, -0.000588384, 0.000151979, -0.000181851, -0.000117157]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870634e+02 2.35e-03 2.65e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119627e+02 0.00e+00 3.80e+00  -1.0 1.45e-01  -4.0 3.09e-01 1.00e+00f  1\n",
      "   2  2.3035574e+02 0.00e+00 5.31e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031716e+02 0.00e+00 3.18e-01  -1.0 1.17e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958372e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940121e+02 0.00e+00 7.01e-04  -2.5 7.47e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938411e+02 0.00e+00 2.69e-03  -3.8 3.12e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936411e+02 0.00e+00 9.16e-03  -3.8 3.20e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934803e+02 0.00e+00 1.48e-02  -3.8 1.75e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927384e+02 0.00e+00 2.37e-01  -3.8 9.48e-01  -0.6 1.97e-01 8.86e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915698e+02 0.00e+00 1.83e-01  -3.8 5.29e-02  -0.2 1.00e+00 4.87e-01f  1\n",
      "  11  2.2908029e+02 0.00e+00 1.54e-01  -3.8 1.35e-01  -0.6 1.00e+00 1.94e-01f  1\n",
      "  12  2.2896228e+02 0.00e+00 1.06e-01  -3.8 1.99e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886190e+02 2.55e-06 7.14e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878172e+02 2.08e-06 1.78e-01  -3.8 7.87e-02  -2.1 1.00e+00 5.24e-01h  1\n",
      "  15  2.2872690e+02 0.00e+00 1.13e-01  -3.8 3.93e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872575e+02 0.00e+00 5.67e-03  -3.8 1.55e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872394e+02 0.00e+00 7.10e-04  -3.8 3.57e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870532e+02 0.00e+00 1.95e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.11e-01h  1\n",
      "  19  2.2870224e+02 0.00e+00 2.73e-03  -5.7 3.24e-02  -4.5 9.87e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870198e+02 0.00e+00 1.88e-04  -5.7 2.35e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870194e+02 0.00e+00 1.31e-05  -5.7 4.40e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870166e+02 0.00e+00 4.75e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870165e+02 0.00e+00 3.19e-06  -8.6 8.20e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870165e+02 0.00e+00 5.76e-07  -8.6 4.23e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870165e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870165e+02 0.00e+00 1.07e-08  -8.6 8.76e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870164e+02 0.00e+00 2.39e-09  -9.0 5.63e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0237491605112432e+01    2.2870164472562030e+02\n",
      "Dual infeasibility......:   2.3853203856560867e-09    1.8041400474663133e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4670651038591091e-09    1.1096165202916925e-08\n",
      "Overall NLP error.......:   2.3853203856560867e-09    1.8041400474663133e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.623\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (241.38us)   5.32ms (183.34us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   4.73ms (163.14us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 719.00us (719.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (379.31us)  13.87ms (478.45us)        29\n",
      "  nlp_hess_l  | 364.00ms ( 13.48ms) 365.78ms ( 13.55ms)        27\n",
      "   nlp_jac_g  | 108.00ms (  3.72ms) 107.60ms (  3.71ms)        29\n",
      "       total  | 624.00ms (624.00ms) 624.07ms (624.07ms)         1\n",
      "[10.0014, 10.0015, 10.0172, 0.00106988, 0.000886505, -0.000248749, -0.000103885, 0.000124965, -0.000611811, 0.000118057, -0.000141456, -9.6349e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870625e+02 1.85e-03 2.66e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119565e+02 0.00e+00 3.82e+00  -1.0 1.45e-01  -4.0 3.09e-01 1.00e+00f  1\n",
      "   2  2.3035465e+02 0.00e+00 5.31e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031644e+02 0.00e+00 3.19e-01  -1.0 1.17e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958415e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940208e+02 0.00e+00 7.04e-04  -2.5 7.46e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938501e+02 0.00e+00 2.69e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936456e+02 0.00e+00 9.28e-03  -3.8 3.24e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934809e+02 0.00e+00 1.53e-02  -3.8 1.78e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927304e+02 0.00e+00 2.35e-01  -3.8 9.82e-01  -0.6 1.91e-01 8.48e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915666e+02 0.00e+00 1.82e-01  -3.8 5.29e-02  -0.2 1.00e+00 4.90e-01f  1\n",
      "  11  2.2908038e+02 0.00e+00 1.53e-01  -3.8 1.37e-01  -0.6 1.00e+00 1.93e-01f  1\n",
      "  12  2.2896248e+02 0.00e+00 1.06e-01  -3.8 1.99e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886232e+02 2.55e-06 7.16e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878242e+02 2.07e-06 1.78e-01  -3.8 7.87e-02  -2.1 1.00e+00 5.24e-01h  1\n",
      "  15  2.2872778e+02 0.00e+00 1.14e-01  -3.8 3.94e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872664e+02 0.00e+00 5.72e-03  -3.8 1.56e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872481e+02 0.00e+00 7.19e-04  -3.8 3.59e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870622e+02 0.00e+00 1.95e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.11e-01h  1\n",
      "  19  2.2870315e+02 0.00e+00 2.72e-03  -5.7 3.25e-02  -4.5 9.88e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870290e+02 0.00e+00 1.88e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870286e+02 0.00e+00 1.30e-05  -5.7 4.40e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870258e+02 0.00e+00 4.75e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870256e+02 0.00e+00 3.18e-06  -8.6 8.19e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870256e+02 0.00e+00 5.75e-07  -8.6 4.23e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870256e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870256e+02 0.00e+00 1.07e-08  -8.6 8.75e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870256e+02 0.00e+00 2.27e-09  -9.0 5.62e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0292594926105352e+01    2.2870256077364570e+02\n",
      "Dual infeasibility......:   2.2704966795572545e-09    1.7141760423941497e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4670095700407788e-09    1.1075605974535990e-08\n",
      "Overall NLP error.......:   2.2704966795572545e-09    1.7141760423941497e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.642\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   3.00ms (103.45us)   5.31ms (183.24us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   4.78ms (164.97us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 816.00us (816.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (482.76us)  14.85ms (511.97us)        29\n",
      "  nlp_hess_l  | 375.00ms ( 13.89ms) 377.05ms ( 13.96ms)        27\n",
      "   nlp_jac_g  | 115.00ms (  3.97ms) 110.46ms (  3.81ms)        29\n",
      "       total  | 644.00ms (644.00ms) 642.94ms (642.94ms)         1\n",
      "[10.0016, 10.0017, 10.0173, 0.000824711, 0.000682698, -0.000191636, -8.02759e-05, 9.66718e-05, -0.000631078, 9.1581e-05, -0.000109875, -7.92066e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870616e+02 1.45e-03 2.66e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119514e+02 0.00e+00 3.83e+00  -1.0 1.45e-01  -4.0 3.09e-01 1.00e+00f  1\n",
      "   2  2.3035377e+02 0.00e+00 5.31e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031585e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958448e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940276e+02 0.00e+00 7.07e-04  -2.5 7.45e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938571e+02 0.00e+00 2.68e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936489e+02 0.00e+00 9.38e-03  -3.8 3.27e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934809e+02 0.00e+00 1.58e-02  -3.8 1.79e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927239e+02 0.00e+00 2.33e-01  -3.8 1.01e+00  -0.6 1.86e-01 8.19e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915693e+02 0.00e+00 1.81e-01  -3.8 5.30e-02  -0.2 1.00e+00 4.89e-01f  1\n",
      "  11  2.2908075e+02 0.00e+00 1.53e-01  -3.8 1.39e-01  -0.6 1.00e+00 1.91e-01f  1\n",
      "  12  2.2896279e+02 0.00e+00 1.07e-01  -3.8 2.00e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886272e+02 2.55e-06 7.18e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878298e+02 2.07e-06 1.78e-01  -3.8 7.87e-02  -2.1 1.00e+00 5.24e-01h  1\n",
      "  15  2.2872847e+02 0.00e+00 1.14e-01  -3.8 3.95e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872732e+02 0.00e+00 5.76e-03  -3.8 1.56e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872549e+02 0.00e+00 7.25e-04  -3.8 3.60e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870692e+02 0.00e+00 1.95e-02  -5.7 1.58e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870386e+02 0.00e+00 2.72e-03  -5.7 3.25e-02  -4.5 9.88e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870361e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870357e+02 0.00e+00 1.30e-05  -5.7 4.39e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870328e+02 0.00e+00 4.74e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870327e+02 0.00e+00 3.18e-06  -8.6 8.19e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870327e+02 0.00e+00 5.75e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870327e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870327e+02 0.00e+00 1.06e-08  -8.6 8.74e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870327e+02 0.00e+00 2.33e-09  -9.0 5.62e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0336299614346789e+01    2.2870326863008620e+02\n",
      "Dual infeasibility......:   2.3281501171368291e-09    1.7551763017230339e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4669652541450323e-09    1.1059349784080715e-08\n",
      "Overall NLP error.......:   2.3281501171368291e-09    1.7551763017230339e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.688\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (172.41us)   5.23ms (180.48us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   4.98ms (171.66us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.37ms (  1.37ms)         1\n",
      "  nlp_grad_f  |  16.00ms (551.72us)  15.51ms (534.93us)        29\n",
      "  nlp_hess_l  | 402.00ms ( 14.89ms) 407.29ms ( 15.08ms)        27\n",
      "   nlp_jac_g  | 120.00ms (  4.14ms) 120.97ms (  4.17ms)        29\n",
      "       total  | 689.00ms (689.00ms) 689.79ms (689.79ms)         1\n",
      "[10.0018, 10.0018, 10.0173, 0.000635047, 0.000525206, -0.000147551, -6.19612e-05, 7.46955e-05, -0.000646917, 7.095e-05, -8.52288e-05, -6.50933e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870608e+02 1.13e-03 2.66e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119472e+02 0.00e+00 3.84e+00  -1.0 1.45e-01  -4.0 3.09e-01 1.00e+00f  1\n",
      "   2  2.3035307e+02 0.00e+00 5.32e+00  -1.0 1.27e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031538e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958472e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940328e+02 0.00e+00 7.10e-04  -2.5 7.45e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938625e+02 0.00e+00 2.68e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936513e+02 0.00e+00 9.45e-03  -3.8 3.30e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934806e+02 0.00e+00 1.62e-02  -3.8 1.81e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927185e+02 0.00e+00 2.32e-01  -3.8 1.03e+00  -0.6 1.83e-01 7.97e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915713e+02 0.00e+00 1.81e-01  -3.8 5.30e-02  -0.2 1.00e+00 4.89e-01f  1\n",
      "  11  2.2908100e+02 0.00e+00 1.53e-01  -3.8 1.40e-01  -0.6 1.00e+00 1.90e-01f  1\n",
      "  12  2.2896300e+02 0.00e+00 1.07e-01  -3.8 2.00e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886300e+02 2.56e-06 7.20e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878340e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2872899e+02 0.00e+00 1.14e-01  -3.8 3.95e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872785e+02 0.00e+00 5.78e-03  -3.8 1.56e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872602e+02 0.00e+00 7.30e-04  -3.8 3.61e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870746e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870441e+02 0.00e+00 2.71e-03  -5.7 3.25e-02  -4.5 9.89e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870415e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870411e+02 0.00e+00 1.30e-05  -5.7 4.39e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870383e+02 0.00e+00 4.74e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870382e+02 0.00e+00 3.18e-06  -8.6 8.18e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870382e+02 0.00e+00 5.74e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870382e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870382e+02 0.00e+00 1.06e-08  -8.6 8.74e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870382e+02 0.00e+00 2.36e-09  -9.0 5.61e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0370854906502274e+01    2.2870381515502595e+02\n",
      "Dual infeasibility......:   2.3616451017005602e-09    1.7784064573218863e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4669301092143100e-09    1.1046528442347667e-08\n",
      "Overall NLP error.......:   2.3616451017005602e-09    1.7784064573218863e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.791\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (241.38us)   7.32ms (252.59us)        29\n",
      "       nlp_g  |   5.00ms (172.41us)   6.30ms (217.28us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 764.00us (764.00us)         1\n",
      "  nlp_grad_f  |  20.00ms (689.66us)  20.01ms (690.14us)        29\n",
      "  nlp_hess_l  | 446.00ms ( 16.52ms) 446.60ms ( 16.54ms)        27\n",
      "   nlp_jac_g  | 150.00ms (  5.17ms) 149.53ms (  5.16ms)        29\n",
      "       total  | 793.00ms (793.00ms) 792.79ms (792.79ms)         1\n",
      "[10.0019, 10.0019, 10.0173, 0.000488499, 0.000403645, -0.000113546, -4.77722e-05, 5.76489e-05, -0.000659935, 5.48981e-05, -6.60246e-05, -5.348e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870601e+02 8.84e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119439e+02 0.00e+00 3.85e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035250e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031500e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958491e+02 0.00e+00 1.32e-02  -1.7 1.03e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940368e+02 0.00e+00 7.12e-04  -2.5 7.44e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938666e+02 0.00e+00 2.68e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936530e+02 0.00e+00 9.51e-03  -3.8 3.32e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934802e+02 0.00e+00 1.65e-02  -3.8 1.82e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927142e+02 0.00e+00 2.31e-01  -3.8 1.05e+00  -0.6 1.80e-01 7.80e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915727e+02 0.00e+00 1.80e-01  -3.8 5.30e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908119e+02 0.00e+00 1.52e-01  -3.8 1.41e-01  -0.6 1.00e+00 1.90e-01f  1\n",
      "  12  2.2896315e+02 0.00e+00 1.07e-01  -3.8 2.01e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886321e+02 2.56e-06 7.21e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878372e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2872939e+02 0.00e+00 1.15e-01  -3.8 3.95e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872826e+02 0.00e+00 5.80e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872642e+02 0.00e+00 7.34e-04  -3.8 3.62e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870788e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870483e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.89e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870457e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870453e+02 0.00e+00 1.30e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870425e+02 0.00e+00 4.74e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870424e+02 0.00e+00 3.18e-06  -8.6 8.18e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870424e+02 0.00e+00 5.74e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870424e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870424e+02 0.00e+00 1.06e-08  -8.6 8.73e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870424e+02 0.00e+00 2.34e-09  -9.0 5.61e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0398099246969394e+01    2.2870423679795059e+02\n",
      "Dual infeasibility......:   2.3440378527084249e-09    1.7635687803165325e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4669023311915735e-09    1.1036439330848966e-08\n",
      "Overall NLP error.......:   2.3440378527084249e-09    1.7635687803165325e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.738\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |  10.00ms (344.83us)   6.95ms (239.69us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   6.37ms (219.69us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 919.00us (919.00us)         1\n",
      "  nlp_grad_f  |  11.00ms (379.31us)  17.66ms (608.93us)        29\n",
      "  nlp_hess_l  | 427.00ms ( 15.81ms) 426.03ms ( 15.78ms)        27\n",
      "   nlp_jac_g  | 136.00ms (  4.69ms) 127.57ms (  4.40ms)        29\n",
      "       total  | 740.00ms (740.00ms) 739.20ms (739.20ms)         1\n",
      "[10.002, 10.002, 10.0173, 0.000375395, 0.00030992, -8.73322e-05, -3.67932e-05, 4.44435e-05, -0.00067063, 4.2427e-05, -5.10837e-05, -4.39281e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870594e+02 6.89e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119413e+02 0.00e+00 3.85e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035206e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031470e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958505e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940399e+02 0.00e+00 7.13e-04  -2.5 7.44e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938698e+02 0.00e+00 2.68e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936543e+02 0.00e+00 9.56e-03  -3.8 3.34e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934798e+02 0.00e+00 1.68e-02  -3.8 1.83e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927107e+02 0.00e+00 2.30e-01  -3.8 1.07e+00  -0.6 1.78e-01 7.67e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915737e+02 0.00e+00 1.79e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908132e+02 0.00e+00 1.52e-01  -3.8 1.42e-01  -0.6 1.00e+00 1.89e-01f  1\n",
      "  12  2.2896326e+02 0.00e+00 1.08e-01  -3.8 2.01e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886337e+02 2.57e-06 7.22e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878396e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2872970e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872857e+02 0.00e+00 5.82e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872673e+02 0.00e+00 7.37e-04  -3.8 3.62e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870820e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870515e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.89e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870490e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870486e+02 0.00e+00 1.29e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870458e+02 0.00e+00 4.74e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870456e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870456e+02 0.00e+00 5.74e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870456e+02 0.00e+00 1.08e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870456e+02 0.00e+00 1.06e-08  -8.6 8.73e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870456e+02 0.00e+00 2.25e-09  -9.0 5.61e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0419524751736006e+01    2.2870456186766350e+02\n",
      "Dual infeasibility......:   2.2534436538990121e-09    1.6942172757943189e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668804427674683e-09    1.1028517102530753e-08\n",
      "Overall NLP error.......:   2.2534436538990121e-09    1.6942172757943189e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.697\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   2.00ms ( 68.97us)   5.25ms (181.10us)        29\n",
      "       nlp_g  |   3.00ms (103.45us)   5.12ms (176.45us)        29\n",
      "    nlp_grad  |   2.00ms (  2.00ms)   1.41ms (  1.41ms)         1\n",
      "  nlp_grad_f  |  18.00ms (620.69us)  15.45ms (532.76us)        29\n",
      "  nlp_hess_l  | 403.00ms ( 14.93ms) 405.35ms ( 15.01ms)        27\n",
      "   nlp_jac_g  | 121.00ms (  4.17ms) 117.14ms (  4.04ms)        29\n",
      "       total  | 698.00ms (698.00ms) 698.63ms (698.63ms)         1\n",
      "[10.0021, 10.002, 10.0174, 0.000288198, 0.000237734, -6.71372e-05, -2.83082e-05, 3.42264e-05, -0.000679415, 3.27512e-05, -3.94764e-05, -3.60746e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870589e+02 5.36e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119391e+02 0.00e+00 3.86e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035170e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031445e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958516e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940423e+02 0.00e+00 7.14e-04  -2.5 7.43e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938723e+02 0.00e+00 2.68e-03  -3.8 3.11e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936552e+02 0.00e+00 9.60e-03  -3.8 3.35e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934794e+02 0.00e+00 1.70e-02  -3.8 1.84e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927079e+02 0.00e+00 2.29e-01  -3.8 1.08e+00  -0.6 1.76e-01 7.56e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915744e+02 0.00e+00 1.79e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908141e+02 0.00e+00 1.52e-01  -3.8 1.43e-01  -0.6 1.00e+00 1.89e-01f  1\n",
      "  12  2.2896334e+02 0.00e+00 1.08e-01  -3.8 2.01e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886348e+02 2.57e-06 7.22e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878414e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2872994e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872881e+02 0.00e+00 5.83e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872697e+02 0.00e+00 7.39e-04  -3.8 3.63e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870845e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870540e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.89e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870515e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870511e+02 0.00e+00 1.29e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870483e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870481e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870481e+02 0.00e+00 5.74e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870481e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870481e+02 0.00e+00 1.05e-08  -8.6 8.73e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870481e+02 0.00e+00 2.36e-09  -9.0 5.61e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0436335189801490e+01    2.2870481232142924e+02\n",
      "Dual infeasibility......:   2.3629098677702132e-09    1.7755385281139833e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668632413588328e-09    1.1022308705175067e-08\n",
      "Overall NLP error.......:   2.3629098677702132e-09    1.7755385281139833e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.682\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (172.41us)   5.48ms (189.10us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   4.93ms (169.97us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.15ms (  1.15ms)         1\n",
      "  nlp_grad_f  |  20.00ms (689.66us)  15.83ms (545.83us)        29\n",
      "  nlp_hess_l  | 392.00ms ( 14.52ms) 393.31ms ( 14.57ms)        27\n",
      "   nlp_jac_g  | 116.00ms (  4.00ms) 120.63ms (  4.16ms)        29\n",
      "       total  | 684.00ms (684.00ms) 684.11ms (684.11ms)         1\n",
      "[10.0021, 10.0021, 10.0174, 0.000221047, 0.000182195, -5.15879e-05, -2.17582e-05, 2.63309e-05, -0.00068663, 2.5254e-05, -3.04714e-05, -2.96195e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870584e+02 4.16e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119374e+02 0.00e+00 3.86e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035142e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031426e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958524e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940442e+02 0.00e+00 7.15e-04  -2.5 7.43e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938742e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936559e+02 0.00e+00 9.63e-03  -3.8 3.36e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934790e+02 0.00e+00 1.71e-02  -3.8 1.85e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927056e+02 0.00e+00 2.29e-01  -3.8 1.09e+00  -0.6 1.75e-01 7.48e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915750e+02 0.00e+00 1.79e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908148e+02 0.00e+00 1.52e-01  -3.8 1.44e-01  -0.6 1.00e+00 1.88e-01f  1\n",
      "  12  2.2896339e+02 0.00e+00 1.08e-01  -3.8 2.01e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886357e+02 2.57e-06 7.23e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878428e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2873013e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872900e+02 0.00e+00 5.84e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872715e+02 0.00e+00 7.41e-04  -3.8 3.63e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870864e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870560e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870534e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870530e+02 0.00e+00 1.29e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870502e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870501e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870501e+02 0.00e+00 5.74e-07  -8.6 4.22e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870501e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870501e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870501e+02 0.00e+00 2.31e-09  -9.0 5.61e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0449496686776794e+01    2.2870500517027503e+02\n",
      "Dual infeasibility......:   2.3075443777997862e-09    1.7331877576962451e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668497557971430e-09    1.1017452420791189e-08\n",
      "Overall NLP error.......:   2.3075443777997862e-09    1.7331877576962451e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.686\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   4.00ms (137.93us)   5.74ms (197.79us)        29\n",
      "       nlp_g  |   7.00ms (241.38us)   5.52ms (190.34us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.12ms (  1.12ms)         1\n",
      "  nlp_grad_f  |  14.00ms (482.76us)  16.22ms (559.48us)        29\n",
      "  nlp_hess_l  | 393.00ms ( 14.56ms) 393.93ms ( 14.59ms)        27\n",
      "   nlp_jac_g  | 131.00ms (  4.52ms) 128.03ms (  4.41ms)        29\n",
      "       total  | 687.00ms (687.00ms) 687.52ms (687.52ms)         1\n",
      "[10.0022, 10.0021, 10.0174, 0.000169387, 0.000139506, -3.96221e-05, -1.67075e-05, 2.02365e-05, -0.000692554, 1.94522e-05, -2.34944e-05, -2.43154e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870580e+02 3.23e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119361e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035119e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031411e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958530e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940456e+02 0.00e+00 7.16e-04  -2.5 7.43e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938756e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936564e+02 0.00e+00 9.66e-03  -3.8 3.37e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934786e+02 0.00e+00 1.73e-02  -3.8 1.85e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927039e+02 0.00e+00 2.28e-01  -3.8 1.09e+00  -0.6 1.74e-01 7.42e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915753e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908153e+02 0.00e+00 1.52e-01  -3.8 1.44e-01  -0.6 1.00e+00 1.88e-01f  1\n",
      "  12  2.2896343e+02 0.00e+00 1.08e-01  -3.8 2.01e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886363e+02 2.57e-06 7.23e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878439e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2873027e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872914e+02 0.00e+00 5.85e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872729e+02 0.00e+00 7.42e-04  -3.8 3.63e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870878e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870574e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870549e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870545e+02 0.00e+00 1.29e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870517e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870516e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870515e+02 0.00e+00 5.74e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870515e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870515e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870515e+02 0.00e+00 2.24e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0459781194343517e+01    2.2870515357960286e+02\n",
      "Dual infeasibility......:   2.2445334479925805e-09    1.6852923652420293e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668392063239073e-09    1.1013660400856411e-08\n",
      "Overall NLP error.......:   2.2445334479925805e-09    1.6852923652420293e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.700\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (241.38us)   5.69ms (196.34us)        29\n",
      "       nlp_g  |   5.00ms (172.41us)   5.70ms (196.66us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms)   1.05ms (  1.05ms)         1\n",
      "  nlp_grad_f  |  17.00ms (586.21us)  17.18ms (592.52us)        29\n",
      "  nlp_hess_l  | 396.00ms ( 14.67ms) 398.92ms ( 14.77ms)        27\n",
      "   nlp_jac_g  | 130.00ms (  4.48ms) 130.74ms (  4.51ms)        29\n",
      "       total  | 702.00ms (702.00ms) 701.96ms (701.96ms)         1\n",
      "[10.0022, 10.0022, 10.0174, 0.000129683, 0.000106727, -3.04186e-05, -1.28172e-05, 1.55376e-05, -0.000697417, 1.49678e-05, -1.80955e-05, -1.9958e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870577e+02 2.50e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119350e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035102e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031399e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958534e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940467e+02 0.00e+00 7.16e-04  -2.5 7.43e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938768e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936568e+02 0.00e+00 9.68e-03  -3.8 3.38e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934784e+02 0.00e+00 1.74e-02  -3.8 1.85e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927024e+02 0.00e+00 2.28e-01  -3.8 1.10e+00  -0.6 1.73e-01 7.37e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915756e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908157e+02 0.00e+00 1.52e-01  -3.8 1.44e-01  -0.6 1.00e+00 1.88e-01f  1\n",
      "  12  2.2896346e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886368e+02 2.57e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878447e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2873038e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872925e+02 0.00e+00 5.85e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872740e+02 0.00e+00 7.43e-04  -3.8 3.63e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870890e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870586e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870560e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870557e+02 0.00e+00 1.29e-05  -5.7 4.38e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870528e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870527e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870527e+02 0.00e+00 5.74e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870527e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870527e+02 0.00e+00 1.04e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870527e+02 0.00e+00 2.31e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0467803062675053e+01    2.2870526772910614e+02\n",
      "Dual infeasibility......:   2.3067769916451653e-09    1.7315723368051369e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668309700037002e-09    1.1010704284058296e-08\n",
      "Overall NLP error.......:   2.3067769916451653e-09    1.7315723368051369e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.796\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (206.90us)   6.77ms (233.31us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   6.55ms (225.83us)        29\n",
      "    nlp_grad  |   2.00ms (  2.00ms)   1.31ms (  1.31ms)         1\n",
      "  nlp_grad_f  |  22.00ms (758.62us)  18.55ms (639.69us)        29\n",
      "  nlp_hess_l  | 464.00ms ( 17.19ms) 463.63ms ( 17.17ms)        27\n",
      "   nlp_jac_g  | 141.00ms (  4.86ms) 141.45ms (  4.88ms)        29\n",
      "       total  | 798.00ms (798.00ms) 797.95ms (797.95ms)         1\n",
      "[10.0022, 10.0022, 10.0174, 9.91987e-05, 8.158e-05, -2.33433e-05, -9.8237e-06, 1.19184e-05, -0.000701408, 1.15057e-05, -1.39227e-05, -1.63791e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870575e+02 1.94e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119342e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035088e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031389e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958538e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940475e+02 0.00e+00 7.16e-04  -2.5 7.43e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938776e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936570e+02 0.00e+00 9.69e-03  -3.8 3.38e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934781e+02 0.00e+00 1.74e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927013e+02 0.00e+00 2.28e-01  -3.8 1.10e+00  -0.6 1.72e-01 7.34e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915758e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908159e+02 0.00e+00 1.52e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896348e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886371e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878453e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2873046e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872934e+02 0.00e+00 5.86e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872749e+02 0.00e+00 7.44e-04  -3.8 3.63e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870898e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870594e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870569e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870565e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870537e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870536e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870536e+02 0.00e+00 5.74e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870536e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870536e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870536e+02 0.00e+00 2.30e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0474049561418717e+01    2.2870535548327325e+02\n",
      "Dual infeasibility......:   2.3041764052322833e-09    1.7292663477255519e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668245512727420e-09    1.1008403387751379e-08\n",
      "Overall NLP error.......:   2.3041764052322833e-09    1.7292663477255519e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.745\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (172.41us)   5.78ms (199.38us)        29\n",
      "       nlp_g  |   6.00ms (206.90us)   5.32ms (183.62us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 848.00us (848.00us)         1\n",
      "  nlp_grad_f  |  17.00ms (586.21us)  17.32ms (597.17us)        29\n",
      "  nlp_hess_l  | 445.00ms ( 16.48ms) 440.81ms ( 16.33ms)        27\n",
      "   nlp_jac_g  | 128.00ms (  4.41ms) 129.87ms (  4.48ms)        29\n",
      "       total  | 746.00ms (746.00ms) 746.15ms (746.15ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 7.5815e-05, 6.23062e-05, -1.79065e-05, -7.52261e-06, 9.13384e-06, -0.000704684, 8.83573e-06, -1.07014e-05, -1.34403e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870573e+02 1.50e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119335e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035077e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031382e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958540e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940481e+02 0.00e+00 7.17e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938783e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936572e+02 0.00e+00 9.70e-03  -3.8 3.39e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934779e+02 0.00e+00 1.75e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2927005e+02 0.00e+00 2.28e-01  -3.8 1.11e+00  -0.6 1.72e-01 7.31e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915759e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908161e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896350e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886374e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878458e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.23e-01h  1\n",
      "  15  2.2873052e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872940e+02 0.00e+00 5.86e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872755e+02 0.00e+00 7.45e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870905e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870601e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870576e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870572e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870544e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870543e+02 0.00e+00 3.17e-06  -8.6 8.17e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870542e+02 0.00e+00 5.74e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870542e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870542e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870542e+02 0.00e+00 2.30e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0478905937832089e+01    2.2870542291325773e+02\n",
      "Dual infeasibility......:   2.2966020196690806e-09    1.7233077107268988e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668195573898783e-09    1.1006615128986189e-08\n",
      "Overall NLP error.......:   2.2966020196690806e-09    1.7233077107268988e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.643\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (206.90us)   5.44ms (187.55us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   5.34ms (184.28us)        29\n",
      "    nlp_grad  |        0 (       0) 779.00us (779.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (517.24us)  14.70ms (506.97us)        29\n",
      "  nlp_hess_l  | 371.00ms ( 13.74ms) 371.71ms ( 13.77ms)        27\n",
      "   nlp_jac_g  | 113.00ms (  3.90ms) 112.43ms (  3.88ms)        29\n",
      "       total  | 644.00ms (644.00ms) 644.34ms (644.34ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 5.78945e-05, 4.7547e-05, -1.37306e-05, -5.75549e-06, 6.99353e-06, -0.000707372, 6.77895e-06, -8.2174e-06, -1.10274e-05]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870571e+02 1.15e-04 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119330e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035069e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031376e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958542e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940486e+02 0.00e+00 7.17e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938788e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936574e+02 0.00e+00 9.71e-03  -3.8 3.39e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934778e+02 0.00e+00 1.75e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926998e+02 0.00e+00 2.28e-01  -3.8 1.11e+00  -0.6 1.71e-01 7.29e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915760e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908163e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896351e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886376e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878461e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873057e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872945e+02 0.00e+00 5.86e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872760e+02 0.00e+00 7.45e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870910e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870606e+02 0.00e+00 2.71e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870581e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870577e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870549e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870548e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870548e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870548e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870547e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870547e+02 0.00e+00 2.31e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0482675975167016e+01    2.2870547470248462e+02\n",
      "Dual infeasibility......:   2.3082691313902615e-09    1.7318485682351881e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668156780741650e-09    1.1005227238851715e-08\n",
      "Overall NLP error.......:   2.3082691313902615e-09    1.7318485682351881e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.640\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   6.00ms (206.90us)   6.25ms (215.52us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   4.99ms (171.97us)        29\n",
      "    nlp_grad  |        0 (       0) 772.00us (772.00us)         1\n",
      "  nlp_grad_f  |  18.00ms (620.69us)  14.71ms (507.34us)        29\n",
      "  nlp_hess_l  | 372.00ms ( 13.78ms) 372.73ms ( 13.80ms)        27\n",
      "   nlp_jac_g  | 107.00ms (  3.69ms) 110.62ms (  3.81ms)        29\n",
      "       total  | 641.00ms (641.00ms) 641.49ms (641.49ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 4.41733e-05, 3.62548e-05, -1.05247e-05, -4.39972e-06, 5.35004e-06, -0.000709578, 5.19617e-06, -6.30397e-06, -9.04673e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870569e+02 8.90e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119326e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035062e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031371e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958544e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940490e+02 0.00e+00 7.17e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938792e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936575e+02 0.00e+00 9.72e-03  -3.8 3.39e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934776e+02 0.00e+00 1.76e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926993e+02 0.00e+00 2.27e-01  -3.8 1.11e+00  -0.6 1.71e-01 7.27e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915761e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908164e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896352e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886378e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878464e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873061e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872949e+02 0.00e+00 5.86e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872764e+02 0.00e+00 7.45e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870914e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870610e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870585e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870581e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870553e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870552e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870552e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870551e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870551e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870551e+02 0.00e+00 2.20e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0485598578404286e+01    2.2870551446147869e+02\n",
      "Dual infeasibility......:   2.1986608089719084e-09    1.6494537581375309e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668126689384629e-09    1.1004151524380049e-08\n",
      "Overall NLP error.......:   2.1986608089719084e-09    1.6494537581375309e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.670\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   5.00ms (172.41us)   5.51ms (190.03us)        29\n",
      "       nlp_g  |   2.00ms ( 68.97us)   5.43ms (187.10us)        29\n",
      "    nlp_grad  |   2.00ms (  2.00ms) 795.00us (795.00us)         1\n",
      "  nlp_grad_f  |  14.00ms (482.76us)  14.88ms (512.97us)        29\n",
      "  nlp_hess_l  | 400.00ms ( 14.81ms) 398.71ms ( 14.77ms)        27\n",
      "   nlp_jac_g  | 110.00ms (  3.79ms) 112.16ms (  3.87ms)        29\n",
      "       total  | 672.00ms (672.00ms) 671.22ms (671.22ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 3.36765e-05, 2.76226e-05, -8.06442e-06, -3.36049e-06, 4.08924e-06, -0.000711387, 3.97936e-06, -4.8316e-06, -7.42104e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870568e+02 6.85e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119323e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035057e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031368e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958545e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940493e+02 0.00e+00 7.17e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938795e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936576e+02 0.00e+00 9.72e-03  -3.8 3.39e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934775e+02 0.00e+00 1.76e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926988e+02 0.00e+00 2.27e-01  -3.8 1.11e+00  -0.6 1.71e-01 7.26e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915761e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908164e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896352e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886379e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878466e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873064e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872952e+02 0.00e+00 5.87e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872767e+02 0.00e+00 7.46e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870917e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870613e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870588e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870584e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870556e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870555e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870555e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870555e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870555e+02 0.00e+00 1.06e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870554e+02 0.00e+00 2.33e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0487861229606949e+01    2.2870554497192677e+02\n",
      "Dual infeasibility......:   2.3257911152541055e-09    1.7446987195956648e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668103379594413e-09    1.1003318835225326e-08\n",
      "Overall NLP error.......:   2.3257911152541055e-09    1.7446987195956648e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.642\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (241.38us)   5.14ms (177.41us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   4.84ms (166.93us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 874.00us (874.00us)         1\n",
      "  nlp_grad_f  |  12.00ms (413.79us)  14.03ms (483.76us)        29\n",
      "  nlp_hess_l  | 380.00ms ( 14.07ms) 376.96ms ( 13.96ms)        27\n",
      "   nlp_jac_g  | 110.00ms (  3.79ms) 109.51ms (  3.78ms)        29\n",
      "       total  | 643.00ms (643.00ms) 643.41ms (643.41ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 2.56535e-05, 2.10294e-05, -6.17711e-06, -2.56463e-06, 3.12291e-06, -0.000712871, 3.04482e-06, -3.69977e-06, -6.0869e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870568e+02 5.27e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119320e+02 0.00e+00 3.87e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035053e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031365e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958545e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940495e+02 0.00e+00 7.18e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938797e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936576e+02 0.00e+00 9.73e-03  -3.8 3.40e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934774e+02 0.00e+00 1.76e-02  -3.8 1.86e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926985e+02 0.00e+00 2.27e-01  -3.8 1.12e+00  -0.6 1.71e-01 7.25e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915762e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908165e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896353e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886380e+02 2.58e-06 7.24e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878468e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873066e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872954e+02 0.00e+00 5.87e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872769e+02 0.00e+00 7.46e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870919e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870616e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870590e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870587e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870558e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870557e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870557e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870557e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870557e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870557e+02 0.00e+00 2.21e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0489610743665910e+01    2.2870556837571021e+02\n",
      "Dual infeasibility......:   2.2121184883872047e-09    1.6593318309454511e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668085346104854e-09    1.1002675056326379e-08\n",
      "Overall NLP error.......:   2.2121184883872047e-09    1.6593318309454511e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.640\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   8.00ms (275.86us)   5.53ms (190.69us)        29\n",
      "       nlp_g  |   3.00ms (103.45us)   4.90ms (169.14us)        29\n",
      "    nlp_grad  |   2.00ms (  2.00ms)   1.28ms (  1.28ms)         1\n",
      "  nlp_grad_f  |  14.00ms (482.76us)  15.25ms (525.72us)        29\n",
      "  nlp_hess_l  | 373.00ms ( 13.81ms) 379.40ms ( 14.05ms)        27\n",
      "   nlp_jac_g  | 108.00ms (  3.72ms) 108.45ms (  3.74ms)        29\n",
      "       total  | 643.00ms (643.00ms) 642.32ms (642.32ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 1.95263e-05, 1.59976e-05, -4.72988e-06, -1.95567e-06, 2.38296e-06, -0.000714089, 2.32776e-06, -2.83057e-06, -4.99216e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870567e+02 4.05e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119319e+02 0.00e+00 3.88e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035050e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031363e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958546e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940497e+02 0.00e+00 7.18e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938799e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936577e+02 0.00e+00 9.73e-03  -3.8 3.40e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934774e+02 0.00e+00 1.77e-02  -3.8 1.87e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926983e+02 0.00e+00 2.27e-01  -3.8 1.12e+00  -0.6 1.71e-01 7.24e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915762e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.88e-01f  1\n",
      "  11  2.2908165e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896353e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886380e+02 2.58e-06 7.25e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878469e+02 2.07e-06 1.79e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873068e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872956e+02 0.00e+00 5.87e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872771e+02 0.00e+00 7.46e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870921e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870618e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870592e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870588e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870560e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870559e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870559e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870559e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870559e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870559e+02 0.00e+00 2.20e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0490961854404276e+01    2.2870558632115294e+02\n",
      "Dual infeasibility......:   2.1991297671775101e-09    1.6495158965475001e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668071411576917e-09    1.1002177918833589e-08\n",
      "Overall NLP error.......:   2.1991297671775101e-09    1.6495158965475001e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.640\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   9.00ms (310.34us)   5.69ms (196.24us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   4.91ms (169.21us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 871.00us (871.00us)         1\n",
      "  nlp_grad_f  |  10.00ms (344.83us)  14.67ms (505.72us)        29\n",
      "  nlp_hess_l  | 377.00ms ( 13.96ms) 377.25ms ( 13.97ms)        27\n",
      "   nlp_jac_g  | 108.00ms (  3.72ms) 105.97ms (  3.65ms)        29\n",
      "       total  | 641.00ms (641.00ms) 640.98ms (640.98ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 1.4851e-05, 1.21606e-05, -3.62054e-06, -1.49012e-06, 1.81684e-06, -0.000715087, 1.77807e-06, -2.1637e-06, -4.09397e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870566e+02 3.11e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119317e+02 0.00e+00 3.88e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035048e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031361e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958547e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940498e+02 0.00e+00 7.18e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938800e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936577e+02 0.00e+00 9.73e-03  -3.8 3.40e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934773e+02 0.00e+00 1.77e-02  -3.8 1.87e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926981e+02 0.00e+00 2.27e-01  -3.8 1.12e+00  -0.6 1.70e-01 7.23e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915762e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.87e-01f  1\n",
      "  11  2.2908166e+02 0.00e+00 1.51e-01  -3.8 1.45e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896353e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886381e+02 2.58e-06 7.25e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878470e+02 2.07e-06 1.80e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873069e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872957e+02 0.00e+00 5.87e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872772e+02 0.00e+00 7.46e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870923e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870619e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870593e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870590e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870562e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870560e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870560e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870560e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870560e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870560e+02 0.00e+00 2.19e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0492004084954189e+01    2.2870560007610078e+02\n",
      "Dual infeasibility......:   2.1916548575973138e-09    1.6438530506882159e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668060656696043e-09    1.1001794454361965e-08\n",
      "Overall NLP error.......:   2.1916548575973138e-09    1.6438530506882159e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.639\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   7.00ms (241.38us)   5.30ms (182.72us)        29\n",
      "       nlp_g  |   4.00ms (137.93us)   4.77ms (164.62us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 839.00us (839.00us)         1\n",
      "  nlp_grad_f  |  19.00ms (655.17us)  14.55ms (501.76us)        29\n",
      "  nlp_hess_l  | 376.00ms ( 13.93ms) 375.12ms ( 13.89ms)        27\n",
      "   nlp_jac_g  | 107.00ms (  3.69ms) 110.65ms (  3.82ms)        29\n",
      "       total  | 640.00ms (640.00ms) 640.16ms (640.16ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 1.12864e-05, 9.23701e-06, -2.77051e-06, -1.13451e-06, 1.3841e-06, -0.000715906, 1.35706e-06, -1.65254e-06, -3.35713e-06]\n",
      "This is Ipopt version 3.14.4, running with linear solver MUMPS 5.4.1.\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:     9760\n",
      "Number of nonzeros in Lagrangian Hessian.............:     2936\n",
      "\n",
      "Total number of variables............................:      332\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        0\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:      252\n",
      "        inequality constraints with only lower bounds:      126\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:      126\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  2.2870566e+02 2.38e-05 2.67e-01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  2.3119316e+02 0.00e+00 3.88e+00  -1.0 1.45e-01  -4.0 3.08e-01 1.00e+00f  1\n",
      "   2  2.3035046e+02 0.00e+00 5.32e+00  -1.0 1.28e-01  -4.5 1.00e+00 1.00e+00f  1\n",
      "   3  2.3031360e+02 0.00e+00 3.19e-01  -1.0 1.16e-01  -5.0 1.00e+00 1.00e+00h  1\n",
      "   4  2.2958547e+02 0.00e+00 1.32e-02  -1.7 1.02e-01  -5.4 1.00e+00 1.00e+00h  1\n",
      "   5  2.2940499e+02 0.00e+00 7.18e-04  -2.5 7.42e-02  -5.9 1.00e+00 1.00e+00f  1\n",
      "   6  2.2938801e+02 0.00e+00 2.68e-03  -3.8 3.10e-03  -0.1 1.00e+00 1.00e+00h  1\n",
      "   7  2.2936578e+02 0.00e+00 9.73e-03  -3.8 3.40e-02  -0.5 1.00e+00 1.00e+00H  1\n",
      "   8  2.2934773e+02 0.00e+00 1.77e-02  -3.8 1.87e-02  -0.1 1.00e+00 1.00e+00h  1\n",
      "   9  2.2926979e+02 0.00e+00 2.27e-01  -3.8 1.12e+00  -0.6 1.70e-01 7.23e-02f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  2.2915762e+02 0.00e+00 1.78e-01  -3.8 5.31e-02  -0.2 1.00e+00 4.87e-01f  1\n",
      "  11  2.2908166e+02 0.00e+00 1.51e-01  -3.8 1.46e-01  -0.6 1.00e+00 1.87e-01f  1\n",
      "  12  2.2896354e+02 0.00e+00 1.08e-01  -3.8 2.02e-01  -1.1 1.00e+00 2.43e-01h  1\n",
      "  13  2.2886381e+02 2.58e-06 7.25e-02  -3.8 1.35e-01  -1.6 1.00e+00 3.26e-01h  1\n",
      "  14  2.2878470e+02 2.07e-06 1.80e-01  -3.8 7.88e-02  -2.1 1.00e+00 5.22e-01h  1\n",
      "  15  2.2873070e+02 0.00e+00 1.15e-01  -3.8 3.96e-02  -2.6 1.00e+00 1.00e+00f  1\n",
      "  16  2.2872958e+02 0.00e+00 5.87e-03  -3.8 1.57e-02  -3.0 1.00e+00 1.00e+00h  1\n",
      "  17  2.2872773e+02 0.00e+00 7.46e-04  -3.8 3.64e-03  -3.5 1.00e+00 1.00e+00h  1\n",
      "  18  2.2870924e+02 0.00e+00 1.95e-02  -5.7 1.57e-02  -4.0 9.25e-01 9.12e-01h  1\n",
      "  19  2.2870620e+02 0.00e+00 2.70e-03  -5.7 3.26e-02  -4.5 9.90e-01 1.00e+00h  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  20  2.2870595e+02 0.00e+00 1.87e-04  -5.7 2.34e-02  -4.9 1.00e+00 1.00e+00h  1\n",
      "  21  2.2870591e+02 0.00e+00 1.29e-05  -5.7 4.37e-03  -5.4 1.00e+00 1.00e+00h  1\n",
      "  22  2.2870563e+02 0.00e+00 4.73e-05  -8.6 1.33e-02  -5.9 9.29e-01 9.83e-01h  1\n",
      "  23  2.2870561e+02 0.00e+00 3.17e-06  -8.6 8.16e-03  -6.4 1.00e+00 1.00e+00h  1\n",
      "  24  2.2870561e+02 0.00e+00 5.73e-07  -8.6 4.21e-03  -6.8 1.00e+00 1.00e+00h  1\n",
      "  25  2.2870561e+02 0.00e+00 1.07e-07  -8.6 2.03e-03  -7.3 1.00e+00 1.00e+00h  1\n",
      "  26  2.2870561e+02 0.00e+00 1.05e-08  -8.6 8.72e-04  -7.8 1.00e+00 1.00e+00h  1\n",
      "  27  2.2870561e+02 0.00e+00 2.29e-09  -9.0 5.60e-04  -8.3 1.00e+00 1.00e+00h  1\n",
      "\n",
      "Number of Iterations....: 27\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   3.0492807154792420e+01    2.2870561061525487e+02\n",
      "Dual infeasibility......:   2.2878623440192314e-09    1.7159684634359099e-08\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   1.4668052365035381e-09    1.1001498995000571e-08\n",
      "Overall NLP error.......:   2.2878623440192314e-09    1.7159684634359099e-08\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 29\n",
      "Number of objective gradient evaluations             = 28\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 29\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 28\n",
      "Number of Lagrangian Hessian evaluations             = 27\n",
      "Total seconds in IPOPT                               = 0.633\n",
      "\n",
      "EXIT: Optimal Solution Found.\n",
      "      solver  :   t_proc      (avg)   t_wall      (avg)    n_eval\n",
      "       nlp_f  |   8.00ms (275.86us)   5.36ms (184.79us)        29\n",
      "       nlp_g  |   5.00ms (172.41us)   4.62ms (159.45us)        29\n",
      "    nlp_grad  |   1.00ms (  1.00ms) 938.00us (938.00us)         1\n",
      "  nlp_grad_f  |  15.00ms (517.24us)  13.92ms (480.00us)        29\n",
      "  nlp_hess_l  | 373.00ms ( 13.81ms) 372.34ms ( 13.79ms)        27\n",
      "   nlp_jac_g  | 110.00ms (  3.79ms) 108.56ms (  3.74ms)        29\n",
      "       total  | 635.00ms (635.00ms) 634.62ms (634.62ms)         1\n",
      "[10.0023, 10.0022, 10.0174, 8.57077e-06, 7.01112e-06, -2.11939e-06, -8.63095e-07, 1.05359e-06, -0.000716577, 1.0349e-06, -1.26108e-06, -2.75271e-06]\n"
     ]
    }
   ],
   "source": [
    "count=0\n",
    "u0=np.zeros((n_controls,N))\n",
    "while np.linalg.norm((xs-x0)) > 1e-2 and count<100:\n",
    "\n",
    "    opti.set_value(P,vertcat(x0,xs))\n",
    "    opti.set_initial(U,u0)\n",
    "    sol=opti.solve()   \n",
    "    u=sol.value(U)\n",
    "    x=sol.value(X)\n",
    "    \n",
    "    st = x0\n",
    "    con = u[:,0]\n",
    "    f_value=f(st,con)\n",
    "    x0=st+dt*f_value\n",
    "    print(x0)\n",
    "\n",
    "    u0=u\n",
    "\n",
    "\n",
    "    count=count+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "plt.scatter(np.asarray(opti.debug.value(X)[0,:]), np.asarray(opti.debug.value(X)[1,:]))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "outputs": [
    {
     "data": {
      "text/plain": "array([[ 1.00023069e+01,  1.00023092e+01,  1.00023109e+01,\n         1.00023122e+01,  1.00023132e+01,  1.00024043e+01,\n         1.00026828e+01,  1.00032599e+01,  1.00042759e+01,\n         1.00059185e+01,  1.00084454e+01,  1.00122152e+01,\n         1.00177403e+01,  1.00257285e+01,  1.00359788e+01,\n         1.00408009e+01,  1.00326146e+01,  1.00043334e+01,\n         9.95024604e+00,  9.86675811e+00,  9.75084079e+00],\n       [ 1.00022365e+01,  1.00022384e+01,  1.00022398e+01,\n         1.00022408e+01,  1.00022417e+01,  1.00023443e+01,\n         1.00026606e+01,  1.00033208e+01,  1.00044912e+01,\n         1.00063960e+01,  1.00093448e+01,  1.00137716e+01,\n         1.00203029e+01,  1.00296771e+01,  1.00402437e+01,\n         1.00443913e+01,  1.00347414e+01,  1.00041810e+01,\n         9.94590949e+00,  9.85369858e+00,  9.72259807e+00],\n       [ 1.00174205e+01,  1.00174210e+01,  1.00174215e+01,\n         1.00176474e+01,  1.00182492e+01,  1.00193240e+01,\n         1.00209283e+01,  1.00230791e+01,  1.00257470e+01,\n         1.00288372e+01,  1.00321569e+01,  1.00353639e+01,\n         1.00378906e+01,  1.00388539e+01,  1.00365365e+01,\n         1.00275877e+01,  1.00068056e+01,  9.96673419e+00,\n         9.89722054e+00,  9.78486799e+00,  9.61204947e+00],\n       [ 1.12863616e-05,  8.57076633e-06,  6.50362587e-06,\n         4.67249689e-06,  4.52087381e-04,  1.38530925e-03,\n         2.87024918e-03,  5.05166903e-03,  8.16471601e-03,\n         1.25574478e-02,  1.87330566e-02,  2.74678238e-02,\n         3.97748873e-02,  5.08428609e-02,  2.23910718e-02,\n        -4.59607879e-02, -1.54308147e-01, -3.01905393e-01,\n        -4.87891846e-01, -7.16138235e-01, -9.99999922e-01],\n       [ 9.23701079e-06,  7.01111681e-06,  5.31772953e-06,\n         3.73780949e-06,  5.10059860e-04,  1.57608771e-03,\n         3.28996616e-03,  5.83278741e-03,  9.49428185e-03,\n         1.47022886e-02,  2.20844767e-02,  3.26284425e-02,\n         4.69741190e-02,  5.28423877e-02,  1.92248167e-02,\n        -5.44431103e-02, -1.68423035e-01, -3.21203399e-01,\n        -5.09197007e-01, -7.31698910e-01, -9.99999821e-01],\n       [-2.77050897e-06, -2.11939442e-06, -1.12985608e-03,\n        -3.00868508e-03, -5.37485909e-03, -8.02370055e-03,\n        -1.07615861e-02, -1.33585112e-02, -1.54945933e-02,\n        -1.66938634e-02, -1.62380700e-02, -1.30430172e-02,\n        -5.17388118e-03,  1.32275606e-02,  4.62868739e-02,\n         9.86116766e-02,  1.76945930e-01,  2.90706855e-01,\n         4.52862608e-01,  6.81192285e-01,  1.00000001e+00],\n       [-1.13450602e-06, -8.63094578e-07, -6.56114722e-07,\n         2.58502241e-04,  5.44222994e-04,  8.75180068e-04,\n         1.29893001e-03,  1.87104652e-03,  2.66212796e-03,\n         3.77426215e-03,  5.38611779e-03,  7.27487842e-03,\n         2.90673933e-03, -1.70849090e-02, -3.71360156e-02,\n        -5.72519261e-02, -7.72034301e-02, -9.65176057e-02,\n        -1.14800173e-01, -1.32731071e-01, -1.52625409e-01],\n       [ 1.38409816e-06,  1.05359010e-06,  8.01373957e-07,\n        -2.28420385e-04, -4.76396769e-04, -7.58204816e-04,\n        -1.11416976e-03, -1.59049838e-03, -2.24483440e-03,\n        -3.15633295e-03, -4.46254080e-03, -6.25854378e-03,\n        -5.55121850e-03,  1.44531364e-02,  3.43985456e-02,\n         5.43009875e-02,  7.44177161e-02,  9.52486412e-02,\n         1.17175701e-01,  1.39466648e-01,  1.59920542e-01],\n       [-7.15905852e-04, -7.16577277e-04, -7.17127818e-04,\n        -7.46144205e-04, -8.05079009e-04, -8.96185460e-04,\n        -1.02292877e-03, -1.18999699e-03, -1.40325098e-03,\n        -1.66948025e-03, -1.99543148e-03, -2.38947739e-03,\n        -2.95776802e-03, -4.45501963e-03, -7.99154573e-03,\n        -1.13618797e-02, -1.04683423e-02, -1.24394549e-03,\n         1.68143985e-02,  3.45129974e-02,  3.52730844e-02],\n       [ 1.35706185e-06,  1.03490218e-06,  1.29579190e-03,\n         1.42853646e-03,  1.65456835e-03,  2.11826920e-03,\n         2.85965184e-03,  3.95371133e-03,  5.55768273e-03,\n         8.05413417e-03,  9.43501093e-03, -2.18584787e-02,\n        -9.99997992e-02, -9.99999726e-02, -9.99999939e-02,\n        -1.00000001e-01, -1.00000003e-01, -1.00000005e-01,\n        -1.00000005e-01, -1.00000005e-01, -9.91907971e-02],\n       [-1.65253647e-06, -1.26107836e-06, -1.14610870e-03,\n        -1.23995801e-03, -1.40928773e-03, -1.78037798e-03,\n        -2.38272413e-03, -3.27366369e-03, -4.56100410e-03,\n        -6.53709727e-03, -8.99036593e-03,  3.51576910e-03,\n         9.99991692e-02,  9.99999591e-02,  9.99999907e-02,\n         9.99999993e-02,  1.00000003e-01,  1.00000004e-01,\n         1.00000005e-01,  1.00000005e-01,  9.89839641e-02],\n       [-3.35712944e-06, -2.75270642e-06, -1.45082685e-04,\n        -2.94353491e-04, -4.54765306e-04, -6.32158481e-04,\n        -8.32246252e-04, -1.06014530e-03, -1.31900570e-03,\n        -1.60508681e-03, -1.92181488e-03, -2.86704996e-03,\n        -7.77684662e-03, -1.59747080e-02, -1.31380115e-02,\n         1.01998792e-02,  5.38674630e-02,  9.99845844e-02,\n         9.99992225e-02,  1.71485385e-02,  1.71587971e-02]])"
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opti.debug.value(X)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
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