ornstein uhlenbeck julia.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m registry at `~/.julia/registries/General`\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m git-repo `https://github.com/JuliaRegistries/General.git`\n",
      "\u001b[2K\u001b[?25h[1mFetching:\u001b[22m\u001b[39m [========================================>]  100.0 %.0 %\u001b[36m\u001b[1mFetching:\u001b[22m\u001b[39m [=======>                                 ]  15.8 %>                            ]  28.6 % [=================>                       ]  41.6 %                ]  59.0 % [=============================>           ]  72.0 %>   ]  91.1 %\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LoggingExtras ──────────────── v0.4.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LeftChildRightSiblingTrees ─── v0.1.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Tables ─────────────────────── v1.0.3\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LazyArrays ─────────────────── v0.15.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m ChainRulesCore ─────────────── v0.7.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m NNlib ──────────────────────── v0.6.6\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Contour ────────────────────── v0.5.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m OrdinaryDiffEq ─────────────── v5.30.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m OpenBLAS_jll ───────────────── v0.3.7+7\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m OpenSpecFun_jll ────────────── v0.5.3+3\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m WoodburyMatrices ───────────── v0.5.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m TerminalLoggers ────────────── v0.1.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m TableOperations ────────────── v0.2.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m FFTW_jll ───────────────────── v3.3.9+4\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m JuliaInterpreter ───────────── v0.7.13\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m FillArrays ─────────────────── v0.8.5\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m PyCall ─────────────────────── v1.91.4\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Parsers ────────────────────── v0.3.12\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m PlotUtils ──────────────────── v0.6.4\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m SparseDiffTools ────────────── v1.4.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m FunctionWrappers ───────────── v1.1.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Rmath_jll ──────────────────── v0.2.2+0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LightGraphs ────────────────── v1.3.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Zygote ─────────────────────── v0.4.10\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Libtask ────────────────────── v0.3.3\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Graphics ───────────────────── v1.0.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LNR ────────────────────────── v0.2.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m PDMats ─────────────────────── v0.9.12\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Rmath ──────────────────────── v0.6.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m AbstractTrees ──────────────── v0.3.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m StatsBase ──────────────────── v0.32.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m LaTeXStrings ───────────────── v1.1.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m BenchmarkTools ─────────────── v0.5.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m ArrayInterface ─────────────── v2.5.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Roots ──────────────────────── v1.0.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Polynomials ────────────────── v0.6.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m GeometryTypes ──────────────── v0.7.10\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Loess ──────────────────────── v0.5.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m OffsetArrays ───────────────── v1.0.3\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m UnPack ─────────────────────── v0.1.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m DiffEqCallbacks ────────────── v2.12.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Sundials ───────────────────── v3.9.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m DiffEqBase ─────────────────── v6.24.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m CompilerSupportLibraries_jll ─ v0.2.0+1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m DataStructures ─────────────── v0.17.10\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m AdvancedHMC ────────────────── v0.2.21\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m FiniteDiff ─────────────────── v2.2.1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m ProgressLogging ────────────── v0.1.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m ZeroMQ_jll ─────────────────── v4.3.2+1\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m HTTP ───────────────────────── v0.8.12\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m DelayDiffEq ────────────────── v5.23.0\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m ConsoleProgressMonitor ─────── v0.1.2\n",
      "\u001b[32m\u001b[1m Installed\u001b[22m\u001b[39m Clustering ─────────────────── v0.13.5\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Project.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Manifest.toml`\n",
      " \u001b[90m [1520ce14]\u001b[39m\u001b[92m + AbstractTrees v0.3.2\u001b[39m\n",
      " \u001b[90m [0bf59076]\u001b[39m\u001b[93m ↑ AdvancedHMC v0.2.20 ⇒ v0.2.21\u001b[39m\n",
      " \u001b[90m [4fba245c]\u001b[39m\u001b[93m ↑ ArrayInterface v2.4.1 ⇒ v2.5.1\u001b[39m\n",
      " \u001b[90m [6e4b80f9]\u001b[39m\u001b[93m ↑ BenchmarkTools v0.4.3 ⇒ v0.5.0\u001b[39m\n",
      " \u001b[90m [d360d2e6]\u001b[39m\u001b[93m ↑ ChainRulesCore v0.6.1 ⇒ v0.7.1\u001b[39m\n",
      " \u001b[90m [aaaa29a8]\u001b[39m\u001b[93m ↑ Clustering v0.13.3 ⇒ v0.13.5\u001b[39m\n",
      " \u001b[90m [e66e0078]\u001b[39m\u001b[92m + CompilerSupportLibraries_jll v0.2.0+1\u001b[39m\n",
      " \u001b[90m [88cd18e8]\u001b[39m\u001b[92m + ConsoleProgressMonitor v0.1.2\u001b[39m\n",
      " \u001b[90m [d38c429a]\u001b[39m\u001b[93m ↑ Contour v0.5.1 ⇒ v0.5.2\u001b[39m\n",
      " \u001b[90m [864edb3b]\u001b[39m\u001b[93m ↑ DataStructures v0.17.9 ⇒ v0.17.10\u001b[39m\n",
      " \u001b[90m [bcd4f6db]\u001b[39m\u001b[93m ↑ DelayDiffEq v5.21.0 ⇒ v5.23.0\u001b[39m\n",
      " \u001b[90m [2b5f629d]\u001b[39m\u001b[93m ↑ DiffEqBase v6.16.0 ⇒ v6.24.0\u001b[39m\n",
      " \u001b[90m [459566f4]\u001b[39m\u001b[93m ↑ DiffEqCallbacks v2.12.0 ⇒ v2.12.1\u001b[39m\n",
      " \u001b[90m [f5851436]\u001b[39m\u001b[93m ↑ FFTW_jll v3.3.9+3 ⇒ v3.3.9+4\u001b[39m\n",
      " \u001b[90m [1a297f60]\u001b[39m\u001b[93m ↑ FillArrays v0.8.4 ⇒ v0.8.5\u001b[39m\n",
      " \u001b[90m [6a86dc24]\u001b[39m\u001b[93m ↑ FiniteDiff v2.2.0 ⇒ v2.2.1\u001b[39m\n",
      " \u001b[90m [069b7b12]\u001b[39m\u001b[93m ↑ FunctionWrappers v1.0.0 ⇒ v1.1.1\u001b[39m\n",
      " \u001b[90m [4d00f742]\u001b[39m\u001b[93m ↑ GeometryTypes v0.7.7 ⇒ v0.7.10\u001b[39m\n",
      " \u001b[90m [a2bd30eb]\u001b[39m\u001b[93m ↑ Graphics v1.0.1 ⇒ v1.0.2\u001b[39m\n",
      " \u001b[90m [cd3eb016]\u001b[39m\u001b[93m ↑ HTTP v0.8.8 ⇒ v0.8.12\u001b[39m\n",
      " \u001b[90m [aa1ae85d]\u001b[39m\u001b[93m ↑ JuliaInterpreter v0.7.12 ⇒ v0.7.13\u001b[39m\n",
      " \u001b[90m [7c4cb9fa]\u001b[39m\u001b[93m ↑ LNR v0.2.0 ⇒ v0.2.1\u001b[39m\n",
      " \u001b[90m [b964fa9f]\u001b[39m\u001b[93m ↑ LaTeXStrings v1.0.3 ⇒ v1.1.0\u001b[39m\n",
      " \u001b[90m [5078a376]\u001b[39m\u001b[93m ↑ LazyArrays v0.14.11 ⇒ v0.15.0\u001b[39m\n",
      " \u001b[90m [1d6d02ad]\u001b[39m\u001b[92m + LeftChildRightSiblingTrees v0.1.2\u001b[39m\n",
      " \u001b[90m [6f1fad26]\u001b[39m\u001b[93m ↑ Libtask v0.3.1 ⇒ v0.3.3\u001b[39m\n",
      " \u001b[90m [093fc24a]\u001b[39m\u001b[93m ↑ LightGraphs v1.3.0 ⇒ v1.3.1\u001b[39m\n",
      " \u001b[90m [4345ca2d]\u001b[39m\u001b[93m ↑ Loess v0.5.0 ⇒ v0.5.1\u001b[39m\n",
      " \u001b[90m [e6f89c97]\u001b[39m\u001b[92m + LoggingExtras v0.4.0\u001b[39m\n",
      " \u001b[90m [872c559c]\u001b[39m\u001b[93m ↑ NNlib v0.6.4 ⇒ v0.6.6\u001b[39m\n",
      " \u001b[90m [6fe1bfb0]\u001b[39m\u001b[93m ↑ OffsetArrays v1.0.2 ⇒ v1.0.3\u001b[39m\n",
      " \u001b[90m [4536629a]\u001b[39m\u001b[93m ↑ OpenBLAS_jll v0.3.7+5 ⇒ v0.3.7+7\u001b[39m\n",
      " \u001b[90m [efe28fd5]\u001b[39m\u001b[93m ↑ OpenSpecFun_jll v0.5.3+1 ⇒ v0.5.3+3\u001b[39m\n",
      " \u001b[90m [1dea7af3]\u001b[39m\u001b[93m ↑ OrdinaryDiffEq v5.29.0 ⇒ v5.30.0\u001b[39m\n",
      " \u001b[90m [90014a1f]\u001b[39m\u001b[93m ↑ PDMats v0.9.11 ⇒ v0.9.12\u001b[39m\n",
      " \u001b[90m [69de0a69]\u001b[39m\u001b[93m ↑ Parsers v0.3.11 ⇒ v0.3.12\u001b[39m\n",
      " \u001b[90m [995b91a9]\u001b[39m\u001b[93m ↑ PlotUtils v0.6.3 ⇒ v0.6.4\u001b[39m\n",
      " \u001b[90m [f27b6e38]\u001b[39m\u001b[93m ↑ Polynomials v0.6.0 ⇒ v0.6.1\u001b[39m\n",
      " \u001b[90m [33c8b6b6]\u001b[39m\u001b[92m + ProgressLogging v0.1.2\u001b[39m\n",
      " \u001b[90m [438e738f]\u001b[39m\u001b[93m ↑ PyCall v1.91.3 ⇒ v1.91.4\u001b[39m\n",
      " \u001b[90m [79098fc4]\u001b[39m\u001b[93m ↑ Rmath v0.6.0 ⇒ v0.6.1\u001b[39m\n",
      " \u001b[90m [f50d1b31]\u001b[39m\u001b[92m + Rmath_jll v0.2.2+0\u001b[39m\n",
      " \u001b[90m [f2b01f46]\u001b[39m\u001b[93m ↑ Roots v0.8.4 ⇒ v1.0.0\u001b[39m\n",
      " \u001b[90m [47a9eef4]\u001b[39m\u001b[93m ↑ SparseDiffTools v1.3.3 ⇒ v1.4.0\u001b[39m\n",
      " \u001b[90m [2913bbd2]\u001b[39m\u001b[93m ↑ StatsBase v0.32.1 ⇒ v0.32.2\u001b[39m\n",
      " \u001b[90m [c3572dad]\u001b[39m\u001b[93m ↑ Sundials v3.8.2 ⇒ v3.9.0\u001b[39m\n",
      " \u001b[90m [ab02a1b2]\u001b[39m\u001b[93m ↑ TableOperations v0.2.0 ⇒ v0.2.1\u001b[39m\n",
      " \u001b[90m [bd369af6]\u001b[39m\u001b[93m ↑ Tables v1.0.1 ⇒ v1.0.3\u001b[39m\n",
      " \u001b[90m [5d786b92]\u001b[39m\u001b[92m + TerminalLoggers v0.1.1\u001b[39m\n",
      " \u001b[90m [3a884ed6]\u001b[39m\u001b[92m + UnPack v0.1.0\u001b[39m\n",
      " \u001b[90m [efce3f68]\u001b[39m\u001b[93m ↑ WoodburyMatrices v0.5.0 ⇒ v0.5.1\u001b[39m\n",
      " \u001b[90m [8f1865be]\u001b[39m\u001b[93m ↑ ZeroMQ_jll v4.3.2+0 ⇒ v4.3.2+1\u001b[39m\n",
      " \u001b[90m [e88e6eb3]\u001b[39m\u001b[93m ↑ Zygote v0.4.7 ⇒ v0.4.10\u001b[39m\n",
      "\u001b[32m\u001b[1m  Building\u001b[22m\u001b[39m NNlib ───→ `~/.julia/packages/NNlib/FAI3o/deps/build.log`\n",
      "\u001b[32m\u001b[1m  Building\u001b[22m\u001b[39m PyCall ──→ `~/.julia/packages/PyCall/zqDXB/deps/build.log`\n",
      "\u001b[32m\u001b[1m  Building\u001b[22m\u001b[39m Libtask ─→ `~/.julia/packages/Libtask/K7OAU/deps/build.log`\n",
      "\u001b[32m\u001b[1m  Building\u001b[22m\u001b[39m Sundials → `~/.julia/packages/Sundials/S5Ws7/deps/build.log`\n",
      "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Project.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Manifest.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Project.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Manifest.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Project.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n",
      "\u001b[32m\u001b[1m  Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.3/Manifest.toml`\n",
      "\u001b[90m [no changes]\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "import Pkg\n",
    "Pkg.add(\"DifferentialEquations\")\n",
    "Pkg.add(\"Turing\")\n",
    "Pkg.add(\"Distributions\")\n",
    "Pkg.add(\"StatsPlots\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Precompiling DifferentialEquations [0c46a032-eb83-5123-abaf-570d42b7fbaa]\n",
      "└ @ Base loading.jl:1273\n",
      "┌ Info: Precompiling Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n",
      "└ @ Base loading.jl:1273\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip7600\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip7600)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip7601\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip7600)\" d=\"\n",
       "M141.865 1487.47 L2352.76 1487.47 L2352.76 47.2441 L141.865 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip7602\">\n",
       "    <rect x=\"141\" y=\"47\" width=\"2212\" height=\"1441\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  202.353,1487.47 202.353,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  723.269,1487.47 723.269,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1244.18,1487.47 1244.18,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1765.1,1487.47 1765.1,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2286.02,1487.47 2286.02,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,1482.97 2352.76,1482.97 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,1273.38 2352.76,1273.38 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,1063.78 2352.76,1063.78 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,854.188 2352.76,854.188 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,644.594 2352.76,644.594 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,434.999 2352.76,434.999 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  141.865,225.404 2352.76,225.404 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,1487.47 2352.76,1487.47 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,1487.47 141.865,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  202.353,1487.47 202.353,1470.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  723.269,1487.47 723.269,1470.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1244.18,1487.47 1244.18,1470.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1765.1,1487.47 1765.1,1470.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2286.02,1487.47 2286.02,1470.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,1482.97 168.395,1482.97 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,1273.38 168.395,1273.38 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,1063.78 168.395,1063.78 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,854.188 168.395,854.188 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,644.594 168.395,644.594 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,434.999 168.395,434.999 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  141.865,225.404 168.395,225.404 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 202.353, 1541.47)\" x=\"202.353\" y=\"1541.47\">0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 723.269, 1541.47)\" x=\"723.269\" y=\"1541.47\">250</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1244.18, 1541.47)\" x=\"1244.18\" y=\"1541.47\">500</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1765.1, 1541.47)\" x=\"1765.1\" y=\"1541.47\">750</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2286.02, 1541.47)\" x=\"2286.02\" y=\"1541.47\">1000</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 1500.47)\" x=\"117.865\" y=\"1500.47\">-3</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 1290.88)\" x=\"117.865\" y=\"1290.88\">-2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 1081.28)\" x=\"117.865\" y=\"1081.28\">-1</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 871.688)\" x=\"117.865\" y=\"871.688\">0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 662.094)\" x=\"117.865\" y=\"662.094\">1</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 452.499)\" x=\"117.865\" y=\"452.499\">2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 117.865, 242.904)\" x=\"117.865\" y=\"242.904\">3</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip7602)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  204.437,644.594 206.521,512.643 208.604,538.072 210.688,557.162 212.772,604.856 214.855,621.903 216.939,834.548 219.023,805.039 221.106,856.334 223.19,948.433 \n",
       "  225.274,917.944 227.357,947.006 229.441,1046.17 231.525,1184.8 233.608,1251.78 235.692,973.696 237.776,781.476 239.859,712.42 241.943,732.408 244.027,662.191 \n",
       "  246.11,519.404 248.194,460.85 250.278,584.141 252.361,587.948 254.445,591.766 256.529,756.436 258.612,740.369 260.696,788.091 262.78,906.712 264.863,942.132 \n",
       "  266.947,895.659 269.03,835.157 271.114,844.71 273.198,897.644 275.281,872.502 277.365,864.245 279.449,929.408 281.532,918.562 283.616,803.33 285.7,718.167 \n",
       "  287.783,811.461 289.867,834.113 291.951,883.757 294.034,907.598 296.118,806.428 298.202,963.611 300.285,1037.23 302.369,1111.28 304.453,1071.86 306.536,1093.67 \n",
       "  308.62,1022.68 310.704,1130.66 312.787,1182.28 314.871,1159.32 316.955,1148.35 319.038,1016.16 321.122,948.873 323.206,1015.17 325.289,1015.73 327.373,1049.78 \n",
       "  329.457,1040.6 331.54,921.781 333.624,958.725 335.708,886.275 337.791,952.581 339.875,968.246 341.959,823.878 344.042,874.193 346.126,903.951 348.21,916.261 \n",
       "  350.293,815.679 352.377,847.707 354.461,764.833 356.544,788.165 358.628,704.842 360.712,634.346 362.795,781.725 364.879,778.618 366.963,938.894 369.046,847.691 \n",
       "  371.13,933.211 373.214,841.448 375.297,793.204 377.381,814.235 379.465,739.754 381.548,767.058 383.632,900.725 385.716,905.184 387.799,760.881 389.883,839.84 \n",
       "  391.967,839.677 394.05,906.202 396.134,836.583 398.218,889.737 400.301,873.859 402.385,886.242 404.469,985.827 406.552,800.778 408.636,786.069 410.72,771.44 \n",
       "  412.803,774.32 414.887,829.097 416.971,832.851 419.054,889.831 421.138,885.269 423.222,907.509 425.305,972.574 427.389,890.778 429.473,854.377 431.556,828.06 \n",
       "  433.64,776.369 435.724,679.721 437.807,840.871 439.891,907.615 441.975,817.448 444.058,754.72 446.142,752.206 448.226,646.348 450.309,793.28 452.393,724.729 \n",
       "  454.476,784.915 456.56,670.64 458.644,802.047 460.727,881.654 462.811,950.581 464.895,859.19 466.978,732.399 469.062,690.989 471.146,756.562 473.229,686.566 \n",
       "  475.313,624.428 477.397,687.937 479.48,569.443 481.564,613.477 483.648,633.827 485.731,530.154 487.815,461.479 489.899,557.907 491.982,602.954 494.066,524.992 \n",
       "  496.15,510.218 498.233,606.571 500.317,578.53 502.401,589.577 504.484,678.515 506.568,580.768 508.652,704.312 510.735,834.623 512.819,1022.07 514.903,869.913 \n",
       "  516.986,806.933 519.07,941.709 521.154,977.632 523.237,860.177 525.321,896.847 527.405,840.84 529.488,725.457 531.572,683.923 533.656,717.753 535.739,722.397 \n",
       "  537.823,896.311 539.907,1045.16 541.99,1081.09 544.074,1165.64 546.158,976.766 548.241,980.923 550.325,1016.99 552.409,994.154 554.492,972.755 556.576,923.419 \n",
       "  558.66,1205.25 560.743,1115.99 562.827,1003.62 564.911,968.085 566.994,1002.93 569.078,1032.06 571.162,1266.22 573.245,1011.87 575.329,1174.09 577.413,1247.31 \n",
       "  579.496,1216.27 581.58,1141.18 583.664,1052.79 585.747,1040.49 587.831,1022.75 589.915,1081.36 591.998,1185.91 594.082,1115.98 596.166,1121.21 598.249,1082.17 \n",
       "  600.333,1184.15 602.417,1050.07 604.5,1044.39 606.584,1234.17 608.668,1215.58 610.751,1178.79 612.835,986.967 614.919,967.959 617.002,803.806 619.086,754.455 \n",
       "  621.17,794.972 623.253,640.766 625.337,597.587 627.421,639.125 629.504,605.854 631.588,643.29 633.672,825.557 635.755,931.555 637.839,896.078 639.922,1055.19 \n",
       "  642.006,1104.06 644.09,1142.11 646.173,996.226 648.257,935.831 650.341,912.588 652.424,936.398 654.508,874.461 656.592,833.852 658.675,748.776 660.759,741.151 \n",
       "  662.843,699.355 664.926,677.209 667.01,738.497 669.094,739.949 671.177,804.613 673.261,860.763 675.345,798.804 677.428,793.764 679.512,843.773 681.596,880.349 \n",
       "  683.679,993.493 685.763,904.887 687.847,900.349 689.93,971.256 692.014,1163 694.098,1278.71 696.181,1247.66 698.265,1303.25 700.349,1188.96 702.432,1104.16 \n",
       "  704.516,933.765 706.6,1055.05 708.683,1122.67 710.767,1142.9 712.851,999.973 714.934,1094.36 717.018,1011.93 719.102,865.05 721.185,688.233 723.269,557.757 \n",
       "  725.353,528.599 727.436,568.295 729.52,615.086 731.604,705.235 733.687,642.779 735.771,721.778 737.855,677.909 739.938,719.912 742.022,753.249 744.106,878.866 \n",
       "  746.189,869.711 748.273,959.555 750.357,963.813 752.44,1005.08 754.524,950.376 756.608,1079.07 758.691,1089.13 760.775,1180.4 762.859,1231.54 764.942,1194.54 \n",
       "  767.026,1041.15 769.11,934.287 771.193,810.395 773.277,956.375 775.361,1042.2 777.444,1104.11 779.528,1062.27 781.612,1192.8 783.695,1070.97 785.779,1207.7 \n",
       "  787.863,1052.23 789.946,1153.71 792.03,991.887 794.114,1054.07 796.197,1107.78 798.281,1088.55 800.365,1092.6 802.448,1228.24 804.532,1340.66 806.616,1446.71 \n",
       "  808.699,1307.1 810.783,1305.81 812.867,1194.65 814.95,1264.9 817.034,1206.65 819.118,1041.03 821.201,1055.05 823.285,948.696 825.368,1040.51 827.452,1056.93 \n",
       "  829.536,928.394 831.619,834.924 833.703,882.368 835.787,938.768 837.87,845.078 839.954,689.498 842.038,658.323 844.121,756.86 846.205,816.073 848.289,728.873 \n",
       "  850.372,621.251 852.456,698.267 854.54,855.364 856.623,860.94 858.707,973.259 860.791,1079.61 862.874,1073.04 864.958,1046.05 867.042,933.904 869.125,889.652 \n",
       "  871.209,1060.29 873.293,916.245 875.376,1025.34 877.46,1008.55 879.544,926.193 881.627,821.646 883.711,867.797 885.795,1098.42 887.878,1233.03 889.962,1108 \n",
       "  892.046,1068.73 894.129,983.9 896.213,1201.9 898.297,1293.07 900.38,1187.24 902.464,1119 904.548,1056.83 906.631,1039.06 908.715,939.078 910.799,983.652 \n",
       "  912.882,907.251 914.966,1027.54 917.05,1013.55 919.133,941.286 921.217,767.204 923.301,838.816 925.384,854.904 927.468,1015.39 929.552,1035.45 931.635,982.19 \n",
       "  933.719,893.211 935.803,950.563 937.886,941.728 939.97,1081.42 942.054,1110.96 944.137,977.236 946.221,812.839 948.305,747.642 950.388,796.473 952.472,905.611 \n",
       "  954.556,994.598 956.639,879.716 958.723,876.789 960.807,990.336 962.89,935.727 964.974,754.733 967.058,824.005 969.141,828.31 971.225,1001.14 973.309,982.198 \n",
       "  975.392,1053.35 977.476,958.581 979.56,972.488 981.643,875.104 983.727,911.081 985.811,948.117 987.894,867.443 989.978,733.674 992.062,936.466 994.145,856.104 \n",
       "  996.229,861.395 998.313,900.767 1000.4,907.094 1002.48,812.139 1004.56,790.128 1006.65,715.048 1008.73,619.724 1010.81,629.514 1012.9,540.124 1014.98,687.248 \n",
       "  1017.07,674.336 1019.15,783.802 1021.23,889.463 1023.32,794.515 1025.4,718.622 1027.48,643.453 1029.57,819.218 1031.65,783.805 1033.73,753.474 1035.82,664.719 \n",
       "  1037.9,729.161 1039.99,831.189 1042.07,703.849 1044.15,779.067 1046.24,840.715 1048.32,715.912 1050.4,900.57 1052.49,902.117 1054.57,1012.72 1056.66,1157.36 \n",
       "  1058.74,1231.27 1060.82,1388.69 1062.91,1395.71 1064.99,1332.93 1067.07,1261.24 1069.16,1089.92 1071.24,1099.13 1073.32,1178.44 1075.41,1264.3 1077.49,1237.54 \n",
       "  1079.58,1107.65 1081.66,1075.79 1083.74,1051.06 1085.83,1024.74 1087.91,1105.23 1089.99,987.73 1092.08,874.581 1094.16,923.596 1096.24,676.019 1098.33,666.178 \n",
       "  1100.41,819.671 1102.5,855.345 1104.58,874.942 1106.66,733.911 1108.75,912.196 1110.83,1058.43 1112.91,1145.59 1115,1004.03 1117.08,986.81 1119.16,1044.55 \n",
       "  1121.25,853.27 1123.33,665.18 1125.42,647.661 1127.5,549.866 1129.58,476.954 1131.67,508.418 1133.75,565.435 1135.83,451.909 1137.92,479.97 1140,467.566 \n",
       "  1142.09,666.854 1144.17,510.627 1146.25,552.979 1148.34,656.783 1150.42,687.786 1152.5,516.93 1154.59,427.843 1156.67,468.154 1158.75,445.922 1160.84,511.392 \n",
       "  1162.92,614.799 1165.01,627.338 1167.09,655.386 1169.17,472.964 1171.26,401.78 1173.34,492.815 1175.42,362.955 1177.51,437.542 1179.59,431.257 1181.67,561.734 \n",
       "  1183.76,567.011 1185.84,505.997 1187.93,640.211 1190.01,660.487 1192.09,812.741 1194.18,953.228 1196.26,955.773 1198.34,1055.93 1200.43,1100.39 1202.51,1103.65 \n",
       "  1204.6,1022.16 1206.68,1002.67 1208.76,976.783 1210.85,1003.46 1212.93,924.101 1215.01,928.694 1217.1,856.045 1219.18,939.645 1221.26,902.863 1223.35,904.573 \n",
       "  1225.43,1014.94 1227.52,815.696 1229.6,951.976 1231.68,937.742 1233.77,871.796 1235.85,741.522 1237.93,828.955 1240.02,969.724 1242.1,979.615 1244.18,1025.46 \n",
       "  1246.27,909.567 1248.35,863.21 1250.44,828.869 1252.52,959.629 1254.6,802.984 1256.69,842.725 1258.77,1024.68 1260.85,1020.18 1262.94,945.861 1265.02,801.892 \n",
       "  1267.11,844.072 1269.19,830.072 1271.27,962.626 1273.36,1041.08 1275.44,1015.61 1277.52,863.03 1279.61,892.827 1281.69,798.75 1283.77,711.987 1285.86,718.787 \n",
       "  1287.94,561.751 1290.03,543.967 1292.11,350.821 1294.19,218.974 1296.28,142.539 1298.36,408.126 1300.44,321.826 1302.53,377.606 1304.61,362.325 1306.69,352.395 \n",
       "  1308.78,474.563 1310.86,400.674 1312.95,435.867 1315.03,323.697 1317.11,397.64 1319.2,440.389 1321.28,565.732 1323.36,585.294 1325.45,632.404 1327.53,450.246 \n",
       "  1329.61,603.171 1331.7,668.243 1333.78,679.471 1335.87,781.313 1337.95,787.231 1340.03,766.192 1342.12,705.33 1344.2,630.123 1346.28,682.976 1348.37,579.298 \n",
       "  1350.45,607.709 1352.54,835.698 1354.62,942.741 1356.7,842.746 1358.79,704.12 1360.87,808.961 1362.95,661.936 1365.04,639.583 1367.12,773.437 1369.2,688.09 \n",
       "  1371.29,859.449 1373.37,980.301 1375.46,1120.63 1377.54,1177.18 1379.62,1218.85 1381.71,1160.19 1383.79,1104.94 1385.87,943.242 1387.96,870.917 1390.04,1018.74 \n",
       "  1392.12,899.025 1394.21,896.776 1396.29,943.964 1398.38,876.81 1400.46,846.49 1402.54,728.233 1404.63,796.833 1406.71,1048.57 1408.79,941.43 1410.88,849.015 \n",
       "  1412.96,861.971 1415.05,816.004 1417.13,752.994 1419.21,713.665 1421.3,825.539 1423.38,752.694 1425.46,748.535 1427.55,897.704 1429.63,841.249 1431.71,1022.69 \n",
       "  1433.8,952.249 1435.88,903.141 1437.97,910.341 1440.05,693.816 1442.13,579.167 1444.22,590.106 1446.3,522.563 1448.38,543.07 1450.47,696.691 1452.55,730.415 \n",
       "  1454.63,634.717 1456.72,743.397 1458.8,611.315 1460.89,586.179 1462.97,591.555 1465.05,612.153 1467.14,397.714 1469.22,204.328 1471.3,169.154 1473.39,122.965 \n",
       "  1475.47,147.674 1477.55,88.0053 1479.64,104.206 1481.72,406.085 1483.81,484.966 1485.89,546.872 1487.97,626.107 1490.06,528.976 1492.14,647.692 1494.22,613.182 \n",
       "  1496.31,609.819 1498.39,829.598 1500.48,819.044 1502.56,1015.51 1504.64,959.817 1506.73,939.725 1508.81,992.205 1510.89,1018.17 1512.98,837.733 1515.06,897.818 \n",
       "  1517.14,742.906 1519.23,598.792 1521.31,689.2 1523.4,663.871 1525.48,631.494 1527.56,529.791 1529.65,458.057 1531.73,356.325 1533.81,591.509 1535.9,560.747 \n",
       "  1537.98,525.042 1540.06,814.356 1542.15,765.439 1544.23,835.836 1546.32,877.392 1548.4,925.76 1550.48,758.429 1552.57,758.9 1554.65,847.802 1556.73,904.149 \n",
       "  1558.82,860.259 1560.9,879.443 1562.99,912.562 1565.07,898.454 1567.15,1015.37 1569.24,987.542 1571.32,1038.11 1573.4,1225.12 1575.49,1347.45 1577.57,1217.61 \n",
       "  1579.65,1131.05 1581.74,1024.76 1583.82,1044.05 1585.91,1147.19 1587.99,1195.77 1590.07,1253.83 1592.16,1148.51 1594.24,1119.36 1596.32,1059.22 1598.41,1103.74 \n",
       "  1600.49,1139.55 1602.57,996.733 1604.66,1113.11 1606.74,1136.24 1608.83,1095.51 1610.91,1016.07 1612.99,1121.26 1615.08,1101.26 1617.16,1225.76 1619.24,1315.29 \n",
       "  1621.33,1344.61 1623.41,1217.88 1625.5,1173.86 1627.58,1035.79 1629.66,981.927 1631.75,1049.08 1633.83,1178.53 1635.91,1202.13 1638,1254.42 1640.08,1276.87 \n",
       "  1642.16,1205.3 1644.25,1243.43 1646.33,1203.02 1648.42,1166.4 1650.5,945.871 1652.58,988.395 1654.67,929.679 1656.75,925.501 1658.83,811.315 1660.92,789.943 \n",
       "  1663,736.606 1665.08,724.562 1667.17,764.162 1669.25,823.485 1671.34,672.531 1673.42,748.721 1675.5,883 1677.59,866.283 1679.67,882.947 1681.75,831.969 \n",
       "  1683.84,682.591 1685.92,781.073 1688,837.021 1690.09,807.031 1692.17,713.913 1694.26,725.023 1696.34,817.33 1698.42,667.838 1700.51,630.516 1702.59,545.584 \n",
       "  1704.67,529.702 1706.76,618.517 1708.84,526.809 1710.93,631.741 1713.01,685.366 1715.09,817.448 1717.18,883.236 1719.26,1035.31 1721.34,1007.68 1723.43,938.369 \n",
       "  1725.51,929.236 1727.59,859.031 1729.68,966.745 1731.76,860.951 1733.85,933.421 1735.93,733.214 1738.01,633.405 1740.1,614.088 1742.18,630.334 1744.26,564.665 \n",
       "  1746.35,713.483 1748.43,719.871 1750.51,829.394 1752.6,805.82 1754.68,850.224 1756.77,909.019 1758.85,854.914 1760.93,848.459 1763.02,771.561 1765.1,721.227 \n",
       "  1767.18,760.356 1769.27,807.981 1771.35,736.015 1773.44,886.14 1775.52,750.99 1777.6,836.2 1779.69,996.746 1781.77,1156.78 1783.85,1152.63 1785.94,1147.35 \n",
       "  1788.02,997.233 1790.1,1062.67 1792.19,1126.49 1794.27,1224.92 1796.36,1271.3 1798.44,1193.16 1800.52,1193.22 1802.61,1118.84 1804.69,1145.35 1806.77,1062.59 \n",
       "  1808.86,924.084 1810.94,924.372 1813.02,843.974 1815.11,765.539 1817.19,741.997 1819.28,800.876 1821.36,621.535 1823.44,639.264 1825.53,898.117 1827.61,827.053 \n",
       "  1829.69,694.026 1831.78,596.417 1833.86,676.245 1835.94,638.481 1838.03,417.263 1840.11,541.069 1842.2,495.036 1844.28,521.857 1846.36,491.663 1848.45,590.088 \n",
       "  1850.53,790.226 1852.61,753.018 1854.7,912.37 1856.78,891.818 1858.87,974.149 1860.95,1001.89 1863.03,1011.93 1865.12,1043.65 1867.2,1011.82 1869.28,982.238 \n",
       "  1871.37,1070.18 1873.45,1182.74 1875.53,1179.85 1877.62,1048.98 1879.7,1079.41 1881.79,1260.33 1883.87,1279.56 1885.95,1076.61 1888.04,997.397 1890.12,1046.17 \n",
       "  1892.2,888.108 1894.29,956.305 1896.37,888.336 1898.45,921.667 1900.54,852.151 1902.62,879.1 1904.71,832.01 1906.79,679.504 1908.87,643.33 1910.96,634.614 \n",
       "  1913.04,577.351 1915.12,694.822 1917.21,715.833 1919.29,677.302 1921.38,650.975 1923.46,910.117 1925.54,860.44 1927.63,708.584 1929.71,762.515 1931.79,711.086 \n",
       "  1933.88,805.047 1935.96,843.747 1938.04,804.069 1940.13,733.6 1942.21,734.051 1944.3,965.395 1946.38,1053.6 1948.46,1074.08 1950.55,1170.36 1952.63,1203.16 \n",
       "  1954.71,1177.7 1956.8,1279.58 1958.88,1205.75 1960.96,1277.53 1963.05,1388.62 1965.13,1368.29 1967.22,1307.04 1969.3,1251.4 1971.38,1306.32 1973.47,1308.67 \n",
       "  1975.55,1290.05 1977.63,1094.6 1979.72,1080.14 1981.8,1054.84 1983.89,1056.07 1985.97,992.87 1988.05,1023.13 1990.14,898.774 1992.22,892.695 1994.3,741.513 \n",
       "  1996.39,892.825 1998.47,882.003 2000.55,924.069 2002.64,897.424 2004.72,773.996 2006.81,852.139 2008.89,773.699 2010.97,826.029 2013.06,937.388 2015.14,928.8 \n",
       "  2017.22,888.04 2019.31,964.811 2021.39,896.111 2023.47,957.48 2025.56,877.482 2027.64,768.024 2029.73,737.459 2031.81,660.567 2033.89,647.408 2035.98,810.771 \n",
       "  2038.06,847.773 2040.14,1076.63 2042.23,1013.24 2044.31,1140.47 2046.39,1068.84 2048.48,1047.03 2050.56,1034.65 2052.65,1045.63 2054.73,1054.58 2056.81,1193.1 \n",
       "  2058.9,1250.43 2060.98,1255.45 2063.06,1156.09 2065.15,1011.66 2067.23,1025.7 2069.32,1046.19 2071.4,1170.52 2073.48,1240.29 2075.57,1372.31 2077.65,1299.5 \n",
       "  2079.73,1136.79 2081.82,1002.29 2083.9,999.999 2085.98,1048.13 2088.07,917.457 2090.15,990.934 2092.24,1115.8 2094.32,1214.1 2096.4,1250.09 2098.49,1032.37 \n",
       "  2100.57,909.561 2102.65,951.895 2104.74,1042.14 2106.82,928.515 2108.9,878.684 2110.99,792.411 2113.07,806.505 2115.16,987.208 2117.24,981.426 2119.32,986.157 \n",
       "  2121.41,861.571 2123.49,814.666 2125.57,733.021 2127.66,753.557 2129.74,839.007 2131.83,903.697 2133.91,908.757 2135.99,963.549 2138.08,987.19 2140.16,838.92 \n",
       "  2142.24,865.163 2144.33,761.647 2146.41,904.215 2148.49,871.849 2150.58,830.712 2152.66,811.494 2154.75,803.454 2156.83,752.028 2158.91,820.683 2161,732.648 \n",
       "  2163.08,799.645 2165.16,668.335 2167.25,673.652 2169.33,743.064 2171.41,832.762 2173.5,879.456 2175.58,952.965 2177.67,1064.97 2179.75,934.75 2181.83,831.04 \n",
       "  2183.92,830.319 2186,900.968 2188.08,937.465 2190.17,783.79 2192.25,708.008 2194.34,711.036 2196.42,683.159 2198.5,773.466 2200.59,795.378 2202.67,809.809 \n",
       "  2204.75,901.307 2206.84,804.461 2208.92,908.515 2211,959.188 2213.09,1055.49 2215.17,833.098 2217.26,795.607 2219.34,944.251 2221.42,1112.3 2223.51,968.559 \n",
       "  2225.59,1034.54 2227.67,1008.21 2229.76,969.996 2231.84,1035.57 2233.92,930.734 2236.01,1103.53 2238.09,1054.17 2240.18,1222.71 2242.26,1248.31 2244.34,1219.39 \n",
       "  2246.43,1230.53 2248.51,1143.59 2250.59,994.471 2252.68,1060.74 2254.76,1121.69 2256.84,1098 2258.93,1066.2 2261.01,996.586 2263.1,954.273 2265.18,764.956 \n",
       "  2267.26,667.411 2269.35,765.426 2271.43,949.1 2273.51,1059.75 2275.6,1104.09 2277.68,1131.24 2279.77,1213.57 2281.85,1174.34 2283.93,1130.3 2286.02,1209.55 \n",
       "  2288.1,1253.79 2290.18,1240.35 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip7600)\" d=\"\n",
       "M1989.93 251.724 L2280.76 251.724 L2280.76 130.764 L1989.93 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1989.93,251.724 2280.76,251.724 2280.76,130.764 1989.93,130.764 1989.93,251.724 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip7600)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2013.93,191.244 2157.93,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip7600)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 2181.93, 208.744)\" x=\"2181.93\" y=\"208.744\">y1</text>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using DifferentialEquations\n",
    "using Plots\n",
    "\n",
    "μ = 0.0\n",
    "σ = sqrt(2)\n",
    "Θ = 1.0\n",
    "W = OrnsteinUhlenbeckProcess(Θ,μ,σ,0.0,1.0)\n",
    "prob = NoiseProblem(W,(0.0,100.0))\n",
    "sol = solve(prob;dt=0.1)\n",
    "plot(sol.u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Precompiling Turing [fce5fe82-541a-59a6-adf8-730c64b5f9a0]\n",
      "└ @ Base loading.jl:1273\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Building Libtask → `~/.julia/packages/Libtask/K7OAU/deps/build.log`\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(::DynamicPPL.ModelGen{(:r, :delta_t),var\"###ou#471\",NamedTuple{(:delta_t,),Tuple{Float64}}}) (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Turing\n",
    "using Distributions\n",
    "\n",
    "@model ou(r,delta_t=0.1) = begin\n",
    "    T = length(r)\n",
    "    ampl ~ Uniform(0.0,5.0)\n",
    "    tau ~ Uniform(0.0,5.0)\n",
    "    \n",
    "    b = exp(-delta_t/tau)\n",
    "    \n",
    "    r[1] ~ Normal(0,sqrt(ampl))\n",
    "    for i=2:T\n",
    "        r[i] ~ Normal(r[i-1]*b,sqrt(ampl*(1-b^2)))\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Found initial step size\n",
      "│   ϵ = 0.2\n",
      "└ @ Turing.Inference /Users/hstrey/.julia/packages/Turing/vg86q/src/inference/hmc.jl:555\n",
      "\u001b[32mSampling  20%|██████▍                        |  ETA: 0:00:01\u001b[39m\n",
      "\u001b[34m  iteration:                     408\u001b[39m\n",
      "\u001b[34m  n_steps:                       11\u001b[39m\n",
      "\u001b[34m  is_accept:                     true\u001b[39m\n",
      "\u001b[34m  acceptance_rate:               0.9902069210094692\u001b[39m\n",
      "\u001b[34m  log_density:                   -617.7421524371656\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy:            618.2137977644252\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy_error:      0.02289319814155988\u001b[39m\n",
      "\u001b[34m  max_hamiltonian_energy_error:  -0.03537882247201196\u001b[39m\n",
      "\u001b[34m  tree_depth:                    3\u001b[39m\n",
      "\u001b[34m  numerical_error:               false\u001b[39m\n",
      "\u001b[34m  step_size:                     0.12286903888650047\u001b[39m\n",
      "\u001b[34m  nom_step_size:                 0.12286903888650047\u001b[39m\n",
      "\u001b[A4m  mass_matrix:                   DiagEuclideanMetric([0.09472521506739527, 0.095 ...])\u001b[39m\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\u001b[32mSampling  41%|████████████▉                  |  ETA: 0:00:01\u001b[39m\n",
      "\u001b[34m  iteration:                     829\u001b[39m\n",
      "\u001b[34m  n_steps:                       15\u001b[39m\n",
      "\u001b[34m  is_accept:                     true\u001b[39m\n",
      "\u001b[34m  acceptance_rate:               0.8468446647680785\u001b[39m\n",
      "\u001b[34m  log_density:                   -620.491761190113\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy:            621.6855887547002\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy_error:      0.3670797348488577\u001b[39m\n",
      "\u001b[34m  max_hamiltonian_energy_error:  0.44613957724629927\u001b[39m\n",
      "\u001b[34m  tree_depth:                    3\u001b[39m\n",
      "\u001b[34m  numerical_error:               false\u001b[39m\n",
      "\u001b[34m  step_size:                     0.18446149460529415\u001b[39m\n",
      "\u001b[34m  nom_step_size:                 0.18446149460529415\u001b[39m\n",
      "\u001b[A4m  mass_matrix:                   DiagEuclideanMetric([0.043933724989966255, 0.04 ...])\u001b[39m\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\u001b[32mSampling  63%|███████████████████▍           |  ETA: 0:00:00\u001b[39m\n",
      "\u001b[34m  iteration:                     1252\u001b[39m\n",
      "\u001b[34m  n_steps:                       23\u001b[39m\n",
      "\u001b[34m  is_accept:                     true\u001b[39m\n",
      "\u001b[34m  acceptance_rate:               0.9997909801162643\u001b[39m\n",
      "\u001b[34m  log_density:                   -617.3508279557539\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy:            617.8149029235293\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy_error:      -0.00187161521625967\u001b[39m\n",
      "\u001b[34m  max_hamiltonian_energy_error:  -0.0019304837989011503\u001b[39m\n",
      "\u001b[34m  tree_depth:                    4\u001b[39m\n",
      "\u001b[34m  numerical_error:               false\u001b[39m\n",
      "\u001b[34m  step_size:                     0.2207729750491448\u001b[39m\n",
      "\u001b[34m  nom_step_size:                 0.2207729750491448\u001b[39m\n",
      "\u001b[A4m  mass_matrix:                   DiagEuclideanMetric([0.033877679373661394, 0.03 ...])\u001b[39m\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\u001b[32mSampling  85%|██████████████████████████▍    |  ETA: 0:00:00\u001b[39m\n",
      "\u001b[34m  iteration:                     1698\u001b[39m\n",
      "\u001b[34m  n_steps:                       7\u001b[39m\n",
      "\u001b[34m  is_accept:                     true\u001b[39m\n",
      "\u001b[34m  acceptance_rate:               0.9406322046968479\u001b[39m\n",
      "\u001b[34m  log_density:                   -618.5459995670726\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy:            619.8748368973432\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy_error:      0.032704733455602764\u001b[39m\n",
      "\u001b[34m  max_hamiltonian_energy_error:  0.1256926892942829\u001b[39m\n",
      "\u001b[34m  tree_depth:                    2\u001b[39m\n",
      "\u001b[34m  numerical_error:               false\u001b[39m\n",
      "\u001b[34m  step_size:                     0.2207729750491448\u001b[39m\n",
      "\u001b[34m  nom_step_size:                 0.2207729750491448\u001b[39m\n",
      "\u001b[A4m  mass_matrix:                   DiagEuclideanMetric([0.033877679373661394, 0.03 ...])\u001b[39m\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\u001b[32mSampling 100%|███████████████████████████████| Time: 0:00:01\u001b[39m\n",
      "\u001b[34m  iteration:                     2000\u001b[39m\n",
      "\u001b[34m  n_steps:                       21\u001b[39m\n",
      "\u001b[34m  is_accept:                     true\u001b[39m\n",
      "\u001b[34m  acceptance_rate:               0.9920522789050332\u001b[39m\n",
      "\u001b[34m  log_density:                   -617.3932483717222\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy:            617.7326401100892\u001b[39m\n",
      "\u001b[34m  hamiltonian_energy_error:      -0.019647038486823476\u001b[39m\n",
      "\u001b[34m  max_hamiltonian_energy_error:  -0.028361946108020675\u001b[39m\n",
      "\u001b[34m  tree_depth:                    4\u001b[39m\n",
      "\u001b[34m  numerical_error:               false\u001b[39m\n",
      "\u001b[34m  step_size:                     0.2207729750491448\u001b[39m\n",
      "\u001b[34m  nom_step_size:                 0.2207729750491448\u001b[39m\n",
      "\u001b[34m  mass_matrix:                   DiagEuclideanMetric([0.033877679373661394, 0.03 ...])\u001b[39m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2-element Array{ChainDataFrame,1}\n",
       "\n",
       "Summary Statistics\n",
       ". Omitted printing of 1 columns\n",
       "│ Row │ parameters │ mean    │ std      │ naive_se   │ mcse      │ ess     │\n",
       "│     │ \u001b[90mSymbol\u001b[39m     │ \u001b[90mFloat64\u001b[39m │ \u001b[90mFloat64\u001b[39m  │ \u001b[90mFloat64\u001b[39m    │ \u001b[90mFloat64\u001b[39m   │ \u001b[90mAny\u001b[39m     │\n",
       "├─────┼────────────┼─────────┼──────────┼────────────┼───────────┼─────────┤\n",
       "│ 1   │ ampl       │ 1.22096 │ 0.219627 │ 0.00694523 │ 0.0135232 │ 203.6   │\n",
       "│ 2   │ tau        │ 1.11709 │ 0.212629 │ 0.00672392 │ 0.012679  │ 198.872 │\n",
       "\n",
       "Quantiles\n",
       "\n",
       "│ Row │ parameters │ 2.5%     │ 25.0%    │ 50.0%   │ 75.0%   │ 97.5%   │\n",
       "│     │ \u001b[90mSymbol\u001b[39m     │ \u001b[90mFloat64\u001b[39m  │ \u001b[90mFloat64\u001b[39m  │ \u001b[90mFloat64\u001b[39m │ \u001b[90mFloat64\u001b[39m │ \u001b[90mFloat64\u001b[39m │\n",
       "├─────┼────────────┼──────────┼──────────┼─────────┼─────────┼─────────┤\n",
       "│ 1   │ ampl       │ 0.915147 │ 1.06072  │ 1.17852 │ 1.33657 │ 1.74059 │\n",
       "│ 2   │ tau        │ 0.818497 │ 0.963507 │ 1.0742  │ 1.22745 │ 1.6527  │\n"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using StatsPlots\n",
    "\n",
    "chn = sample(ou(sol.u,0.1), NUTS(0.8), 2000)\n",
    "\n",
    "# Summarise results (currently requires the master branch from MCMCChains)\n",
    "describe(chn)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1000\" height=\"500\" viewBox=\"0 0 4000 2000\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip8400\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"4000\" height=\"2000\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8400)\" d=\"\n",
       "M0 2000 L4000 2000 L4000 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8401\">\n",
       "    <rect x=\"800\" y=\"0\" width=\"2801\" height=\"2000\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip8400)\" d=\"\n",
       "M220.227 841.529 L1952.76 841.529 L1952.76 107.004 L220.227 107.004  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8402\">\n",
       "    <rect x=\"220\" y=\"107\" width=\"1734\" height=\"736\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  267.625,841.529 267.625,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  676.649,841.529 676.649,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1085.67,841.529 1085.67,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1494.7,841.529 1494.7,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1903.72,841.529 1903.72,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,769.135 1952.76,769.135 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,631.92 1952.76,631.92 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,494.705 1952.76,494.705 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,357.49 1952.76,357.49 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,266.014 1952.76,266.014 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,841.529 1952.76,841.529 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,841.529 220.227,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  267.625,841.529 267.625,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  676.649,841.529 676.649,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1085.67,841.529 1085.67,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1494.7,841.529 1494.7,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1903.72,841.529 1903.72,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,769.135 241.017,769.135 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,631.92 241.017,631.92 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,494.705 241.017,494.705 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,357.49 241.017,357.49 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,266.014 241.017,266.014 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 267.625, 903.529)\" x=\"267.625\" y=\"903.529\">0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 676.649, 903.529)\" x=\"676.649\" y=\"903.529\">250</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1085.67, 903.529)\" x=\"1085.67\" y=\"903.529\">500</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1494.7, 903.529)\" x=\"1494.7\" y=\"903.529\">750</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1903.72, 903.529)\" x=\"1903.72\" y=\"903.529\">1000</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 786.635)\" x=\"180.227\" y=\"786.635\">0.9</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 649.42)\" x=\"180.227\" y=\"649.42\">1.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 512.205)\" x=\"180.227\" y=\"512.205\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 374.99)\" x=\"180.227\" y=\"374.99\">1.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 283.514)\" x=\"180.227\" y=\"283.514\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:82px; text-anchor:middle;\" transform=\"rotate(0, 1086.49, 72)\" x=\"1086.49\" y=\"72\">ampl</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1086.49, 991.391)\" x=\"1086.49\" y=\"991.391\">Iteration</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 61.7591, 474.267)\" x=\"61.7591\" y=\"474.267\">Sample value</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8402)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  269.261,613.231 270.897,556.006 272.533,542.779 274.169,539.209 275.805,558.68 277.441,567.494 279.077,542.939 280.714,747.955 282.35,755.751 283.986,736.226 \n",
       "  285.622,742.416 287.258,710.876 288.894,728.567 290.53,731.017 292.166,642.455 293.802,565.474 295.438,596.714 297.075,598.751 298.711,602.88 300.347,640.708 \n",
       "  301.983,680.8 303.619,618.451 305.255,623.926 306.891,622.86 308.527,603.925 310.163,604.97 311.799,614.272 313.436,679.633 315.072,711.897 316.708,441.859 \n",
       "  318.344,486.876 319.98,483.235 321.616,462.508 323.252,428.998 324.888,764.731 326.524,762.146 328.16,779.266 329.796,531.899 331.433,520.324 333.069,545.132 \n",
       "  334.705,643.385 336.341,684.964 337.977,658.626 339.613,669.214 341.249,655.625 342.885,427.991 344.521,457.875 346.157,552.559 347.794,595.098 349.43,607.348 \n",
       "  351.066,643.92 352.702,708.695 354.338,716.159 355.974,713.419 357.61,710.165 359.246,561.853 360.882,562.815 362.518,649.385 364.155,633.986 365.791,649.221 \n",
       "  367.427,669.417 369.063,627.266 370.699,730.483 372.335,727.497 373.971,702.961 375.607,693.79 377.243,644.652 378.879,646.471 380.516,644.807 382.152,710.615 \n",
       "  383.788,661.878 385.424,677.317 387.06,667.169 388.696,661.757 390.332,620.771 391.968,663.599 393.604,673.672 395.24,680.203 396.876,698.537 398.513,680.824 \n",
       "  400.149,687.708 401.785,599.477 403.421,604.057 405.057,351.882 406.693,771.992 408.329,636.02 409.965,583.97 411.601,588.937 413.237,628.047 414.874,659.105 \n",
       "  416.51,695.056 418.146,693.832 419.782,656.985 421.418,654.739 423.054,660.495 424.69,642.063 426.326,700.297 427.962,694.006 429.598,702.727 431.235,732.884 \n",
       "  432.871,602.629 434.507,677.539 436.143,681.609 437.779,593.959 439.415,616.859 441.051,565.872 442.687,503.045 444.323,765.976 445.959,765.768 447.596,749.738 \n",
       "  449.232,668.377 450.868,655.435 452.504,648.279 454.14,680.103 455.776,695.753 457.412,702.557 459.048,679.255 460.684,715.003 462.32,646.987 463.956,745.851 \n",
       "  465.593,728.367 467.229,728.367 468.865,741.472 470.501,714.325 472.137,714.325 473.773,683.837 475.409,711.26 477.045,587.282 478.681,734.69 480.317,716.025 \n",
       "  481.954,724.82 483.59,746.279 485.226,656.895 486.862,569.6 488.498,578.304 490.134,730.686 491.77,711.114 493.406,719.549 495.042,674.706 496.678,711.382 \n",
       "  498.315,712.679 499.951,563.592 501.587,565.949 503.223,565.062 504.859,630.35 506.495,598.048 508.131,580.22 509.767,580.069 511.403,586.486 513.039,707.065 \n",
       "  514.675,646.066 516.312,622.204 517.948,679.935 519.584,585.437 521.22,593.673 522.856,537.051 524.492,576.315 526.128,482.013 527.764,201.547 529.4,358.284 \n",
       "  531.036,365.839 532.673,628.898 534.309,623.099 535.945,375.379 537.581,365.474 539.217,352.443 540.853,329.757 542.489,382.274 544.125,298.736 545.761,664.136 \n",
       "  547.397,669.761 549.034,658.609 550.67,625.768 552.306,612.41 553.942,664.565 555.578,655.857 557.214,666.064 558.85,623.96 560.486,602.212 562.122,588.368 \n",
       "  563.758,665.648 565.395,695.182 567.031,659.901 568.667,673.917 570.303,681.389 571.939,699.965 573.575,676.682 575.211,527.201 576.847,553.879 578.483,735.593 \n",
       "  580.119,741.2 581.755,704.165 583.392,637.982 585.028,665.949 586.664,715.028 588.3,707.094 589.936,693.021 591.572,706.945 593.208,681.687 594.844,680.022 \n",
       "  596.48,689.979 598.116,499.413 599.753,526.397 601.389,505.756 603.025,510.794 604.661,541.864 606.297,701.692 607.933,716.522 609.569,686.237 611.205,734.515 \n",
       "  612.841,689.025 614.477,653.727 616.114,534.575 617.75,715.726 619.386,693.115 621.022,650.96 622.658,658.675 624.294,715.039 625.93,665.531 627.566,695.597 \n",
       "  629.202,676.14 630.838,691.211 632.474,695.262 634.111,751.09 635.747,749.735 637.383,618.299 639.019,521.737 640.655,319.567 642.291,315.7 643.927,331.47 \n",
       "  645.563,324.952 647.199,150.984 648.835,127.793 650.472,129.037 652.108,448.41 653.744,627.866 655.38,629.418 657.016,549.183 658.652,543.997 660.288,557.401 \n",
       "  661.924,625.303 663.56,706.14 665.196,734.685 666.833,659.87 668.469,619.661 670.105,703.293 671.741,702.521 673.377,653.773 675.013,728.608 676.649,616.567 \n",
       "  678.285,590.394 679.921,670.409 681.557,619.808 683.194,684.871 684.83,676.229 686.466,702.546 688.102,756.302 689.738,751.293 691.374,553.398 693.01,604.815 \n",
       "  694.646,730.684 696.282,760.699 697.918,553.808 699.554,623.119 701.191,606.959 702.827,601.683 704.463,595.32 706.099,620.733 707.735,621.42 709.371,670.559 \n",
       "  711.007,712.338 712.643,579.351 714.279,458.026 715.915,468.788 717.552,774.891 719.188,790.202 720.824,608.601 722.46,605.191 724.096,644.808 725.732,615.894 \n",
       "  727.368,664.765 729.004,611.631 730.64,523.164 732.276,539.648 733.913,505.929 735.549,521.048 737.185,541.436 738.821,544.143 740.457,513.154 742.093,489.672 \n",
       "  743.729,492.937 745.365,511.086 747.001,589.225 748.637,589.225 750.273,597.879 751.91,699.108 753.546,577.35 755.182,569.819 756.818,584.882 758.454,581.427 \n",
       "  760.09,577.904 761.726,607.45 763.362,582.594 764.998,555.497 766.634,591.879 768.271,552.538 769.907,667.317 771.543,633.208 773.179,662.195 774.815,622.01 \n",
       "  776.451,602.857 778.087,593.228 779.723,564.611 781.359,565.004 782.995,556.264 784.632,546.783 786.268,559.011 787.904,687.887 789.54,658.708 791.176,512.265 \n",
       "  792.812,746.496 794.448,739.918 796.084,706.767 797.72,620.5 799.356,536.91 800.993,719.65 802.629,719.65 804.265,695.999 805.901,689.098 807.537,592.403 \n",
       "  809.173,619.405 810.809,610.73 812.445,704.649 814.081,706.317 815.717,647.227 817.353,657.328 818.99,663.732 820.626,611.809 822.262,696.988 823.898,732.611 \n",
       "  825.534,667.053 827.17,699.478 828.806,657.702 830.442,633.708 832.078,400.499 833.714,810.138 835.351,751.375 836.987,493.391 838.623,519.004 840.259,565.275 \n",
       "  841.895,567.882 843.531,620.084 845.167,640.25 846.803,613.308 848.439,647.529 850.075,691.538 851.712,684.978 853.348,461.439 854.984,466.231 856.62,656.073 \n",
       "  858.256,589.943 859.892,561.594 861.528,583.427 863.164,555.602 864.8,452.251 866.436,452.613 868.073,678.94 869.709,665.105 871.345,502.378 872.981,659.153 \n",
       "  874.617,659.992 876.253,651.095 877.889,660.703 879.525,680.449 881.161,468.724 882.797,425.097 884.433,471.732 886.07,465.13 887.706,519.449 889.342,608.932 \n",
       "  890.978,687.887 892.614,649.453 894.25,707.718 895.886,705.326 897.522,678.923 899.158,658.611 900.794,645.97 902.431,647.726 904.067,722.874 905.703,744.274 \n",
       "  907.339,741.591 908.975,737.964 910.611,760.286 912.247,746.975 913.883,480.596 915.519,449.727 917.155,415.446 918.792,585.792 920.428,729.085 922.064,682.498 \n",
       "  923.7,698.654 925.336,704.477 926.972,686.678 928.608,705.698 930.244,705.638 931.88,638.908 933.516,638.908 935.152,609.975 936.789,576.815 938.425,618.287 \n",
       "  940.061,657.794 941.697,639.398 943.333,635.498 944.969,597.107 946.605,610.598 948.241,529.846 949.877,575.587 951.513,723.863 953.15,708.036 954.786,711.281 \n",
       "  956.422,554.231 958.058,539.931 959.694,673.923 961.33,675.042 962.966,542.404 964.602,528.623 966.238,583.374 967.874,611.502 969.511,664.636 971.147,692.995 \n",
       "  972.783,601.117 974.419,618.498 976.055,596.665 977.691,568.338 979.327,557.748 980.963,586.301 982.599,568.875 984.235,649.228 985.872,668.825 987.508,487.861 \n",
       "  989.144,567.676 990.78,546.712 992.416,521.624 994.052,526.117 995.688,530.145 997.324,597.83 998.96,702.92 1000.6,716.977 1002.23,712.239 1003.87,716.468 \n",
       "  1005.5,672.624 1007.14,672.435 1008.78,589.223 1010.41,686.305 1012.05,698.591 1013.69,645.434 1015.32,653.949 1016.96,656.466 1018.59,633.411 1020.23,623.475 \n",
       "  1021.87,533.866 1023.5,528.765 1025.14,536.784 1026.77,576.591 1028.41,563.801 1030.05,710.163 1031.68,700.269 1033.32,624.613 1034.95,428.396 1036.59,638.136 \n",
       "  1038.23,664.617 1039.86,510.381 1041.5,536.953 1043.13,518.673 1044.77,619 1046.41,595.287 1048.04,604.838 1049.68,584.225 1051.32,528.89 1052.95,537.991 \n",
       "  1054.59,565.842 1056.22,519.742 1057.86,636.589 1059.5,670.978 1061.13,673.356 1062.77,577.959 1064.4,715.929 1066.04,716.633 1067.68,724.898 1069.31,765.894 \n",
       "  1070.95,753.805 1072.58,748.479 1074.22,667.986 1075.86,620.649 1077.49,646.282 1079.13,693.053 1080.77,571.091 1082.4,579.017 1084.04,586.984 1085.67,659.036 \n",
       "  1087.31,667.642 1088.95,657.118 1090.58,549.666 1092.22,603.355 1093.85,675.239 1095.49,610.65 1097.13,587.137 1098.76,684.598 1100.4,671.995 1102.03,671.995 \n",
       "  1103.67,631.183 1105.31,468.919 1106.94,711.392 1108.58,497.471 1110.21,477.694 1111.85,464.98 1113.49,365.774 1115.12,352.305 1116.76,397.964 1118.4,409.48 \n",
       "  1120.03,406.027 1121.67,628.636 1123.3,632.032 1124.94,681.146 1126.58,649.64 1128.21,650.123 1129.85,632.544 1131.48,613.429 1133.12,613.125 1134.76,624.162 \n",
       "  1136.39,538.225 1138.03,532.296 1139.66,619.783 1141.3,574.432 1142.94,467.059 1144.57,483.187 1146.21,454.445 1147.85,450.852 1149.48,446.762 1151.12,427.138 \n",
       "  1152.75,499.726 1154.39,301.395 1156.03,297.454 1157.66,308.269 1159.3,242.608 1160.93,253.347 1162.57,666.584 1164.21,673.672 1165.84,643.66 1167.48,642.057 \n",
       "  1169.11,492.794 1170.75,493.581 1172.39,510.378 1174.02,502.74 1175.66,451.166 1177.29,505.87 1178.93,500.871 1180.57,667.127 1182.2,665.211 1183.84,658.549 \n",
       "  1185.48,693.084 1187.11,683.586 1188.75,421.452 1190.38,462.326 1192.02,390.771 1193.66,605.526 1195.29,609.389 1196.93,687.658 1198.56,661.868 1200.2,679.734 \n",
       "  1201.84,678.785 1203.47,712.455 1205.11,653.6 1206.74,704.228 1208.38,727.343 1210.02,733.506 1211.65,635.152 1213.29,644.692 1214.93,731.889 1216.56,723.657 \n",
       "  1218.2,563.249 1219.83,709.347 1221.47,650.095 1223.11,647.875 1224.74,649.823 1226.38,633.628 1228.01,635.234 1229.65,609.613 1231.29,632.335 1232.92,668.305 \n",
       "  1234.56,645.989 1236.19,575.616 1237.83,651.432 1239.47,622.189 1241.1,695.12 1242.74,687.153 1244.37,724.972 1246.01,712.708 1247.65,745.407 1249.28,745.407 \n",
       "  1250.92,745.407 1252.56,731.895 1254.19,759.219 1255.83,769.771 1257.46,764.171 1259.1,438.627 1260.74,512.091 1262.37,557.224 1264.01,541.653 1265.64,582.36 \n",
       "  1267.28,693.273 1268.92,707.412 1270.55,685.192 1272.19,608.706 1273.82,651.062 1275.46,546.665 1277.1,561.668 1278.73,563.788 1280.37,682.133 1282.01,704.267 \n",
       "  1283.64,629.045 1285.28,686.894 1286.91,671.885 1288.55,519.368 1290.19,502.344 1291.82,522.048 1293.46,529.722 1295.09,631.446 1296.73,616.986 1298.37,667.157 \n",
       "  1300,598.725 1301.64,610.34 1303.27,638.115 1304.91,604.405 1306.55,611.81 1308.18,593.834 1309.82,605.874 1311.45,716.949 1313.09,680.924 1314.73,794.243 \n",
       "  1316.36,770.448 1318,762.174 1319.64,670.718 1321.27,645.81 1322.91,648.829 1324.54,676.257 1326.18,670.517 1327.82,673.724 1329.45,705.437 1331.09,576.793 \n",
       "  1332.72,554.887 1334.36,536.684 1336,696.713 1337.63,616.374 1339.27,623.413 1340.9,605.128 1342.54,600.732 1344.18,611.42 1345.81,729.529 1347.45,594.105 \n",
       "  1349.09,604.271 1350.72,718.775 1352.36,715.086 1353.99,745.318 1355.63,734.006 1357.27,744.774 1358.9,707.256 1360.54,711.97 1362.17,707.553 1363.81,738.826 \n",
       "  1365.45,735.752 1367.08,721.052 1368.72,713.936 1370.35,721.324 1371.99,745.62 1373.63,614.336 1375.26,614.45 1376.9,562.201 1378.53,571.693 1380.17,571.738 \n",
       "  1381.81,557.219 1383.44,449.675 1385.08,665.024 1386.72,670.463 1388.35,587.36 1389.99,585.666 1391.62,565.444 1393.26,625.249 1394.9,623.176 1396.53,626.962 \n",
       "  1398.17,649.3 1399.8,650.165 1401.44,584.038 1403.08,549.981 1404.71,583.594 1406.35,610.61 1407.98,736.796 1409.62,742.375 1411.26,721.052 1412.89,740.102 \n",
       "  1414.53,703.522 1416.17,573.219 1417.8,569.508 1419.44,570.839 1421.07,717.559 1422.71,722.655 1424.35,581.089 1425.98,534.759 1427.62,606.755 1429.25,557.191 \n",
       "  1430.89,645.708 1432.53,658.055 1434.16,658.286 1435.8,722.546 1437.43,724.897 1439.07,749.352 1440.71,741.602 1442.34,763.558 1443.98,760.578 1445.61,404.717 \n",
       "  1447.25,406.031 1448.89,401.805 1450.52,395.358 1452.16,433.277 1453.8,432.507 1455.43,469.952 1457.07,567.544 1458.7,580.764 1460.34,609.657 1461.98,610.414 \n",
       "  1463.61,664.313 1465.25,683.168 1466.88,687.16 1468.52,664.094 1470.16,681.314 1471.79,664.291 1473.43,687.968 1475.06,672.072 1476.7,581.89 1478.34,599.933 \n",
       "  1479.97,556.749 1481.61,592.586 1483.25,577.377 1484.88,556.757 1486.52,552.52 1488.15,583.481 1489.79,745.946 1491.43,759.853 1493.06,729.804 1494.7,729.065 \n",
       "  1496.33,686.707 1497.97,705.825 1499.61,534.011 1501.24,596.983 1502.88,615.132 1504.51,706.664 1506.15,695.313 1507.79,719.927 1509.42,733.037 1511.06,696.714 \n",
       "  1512.69,696.68 1514.33,699.482 1515.97,700.281 1517.6,679.588 1519.24,609.999 1520.88,606.061 1522.51,680.134 1524.15,675.419 1525.78,576.165 1527.42,552.664 \n",
       "  1529.06,492.226 1530.69,605.171 1532.33,384.726 1533.96,578.148 1535.6,423.123 1537.24,696.059 1538.87,665.887 1540.51,665.627 1542.14,665.103 1543.78,580.309 \n",
       "  1545.42,588.715 1547.05,617.76 1548.69,613.573 1550.33,549.719 1551.96,654.591 1553.6,548.978 1555.23,463.799 1556.87,463.799 1558.51,589.035 1560.14,576.856 \n",
       "  1561.78,592.127 1563.41,733.271 1565.05,715.506 1566.69,669.828 1568.32,620.265 1569.96,640.419 1571.59,609.021 1573.23,593.276 1574.87,681.794 1576.5,663.383 \n",
       "  1578.14,699.22 1579.77,687.554 1581.41,719.421 1583.05,660.629 1584.68,652.832 1586.32,652.832 1587.96,653.835 1589.59,518.786 1591.23,493.324 1592.86,595.941 \n",
       "  1594.5,585.991 1596.14,597.583 1597.77,723.248 1599.41,712.802 1601.04,719.836 1602.68,713.984 1604.32,690.237 1605.95,686.378 1607.59,675.498 1609.22,618.483 \n",
       "  1610.86,618.996 1612.5,663.481 1614.13,639.987 1615.77,639.987 1617.41,649.469 1619.04,488.744 1620.68,483.436 1622.31,499.671 1623.95,635.546 1625.59,630.783 \n",
       "  1627.22,572.312 1628.86,660.953 1630.49,667.544 1632.13,669.175 1633.77,637.657 1635.4,670.951 1637.04,662.058 1638.67,672.76 1640.31,672.934 1641.95,756.965 \n",
       "  1643.58,820.517 1645.22,820.74 1646.85,774.949 1648.49,793.917 1650.13,808.363 1651.76,366.649 1653.4,389.245 1655.04,722.716 1656.67,512.437 1658.31,477.134 \n",
       "  1659.94,488.343 1661.58,492.012 1663.22,489.293 1664.85,485.615 1666.49,569.29 1668.12,578.185 1669.76,578.185 1671.4,604.823 1673.03,563.805 1674.67,565.114 \n",
       "  1676.3,642.133 1677.94,608.797 1679.58,727.26 1681.21,735.758 1682.85,726.877 1684.49,777.931 1686.12,774.261 1687.76,763.502 1689.39,725.258 1691.03,528.244 \n",
       "  1692.67,546.454 1694.3,508.173 1695.94,572.622 1697.57,616.944 1699.21,633.817 1700.85,675.358 1702.48,640.403 1704.12,617.226 1705.75,695.699 1707.39,603.744 \n",
       "  1709.03,745.133 1710.66,745.133 1712.3,732.263 1713.93,746.336 1715.57,736.187 1717.21,739.984 1718.84,737.857 1720.48,735.925 1722.12,682.437 1723.75,682.982 \n",
       "  1725.39,530.064 1727.02,523.42 1728.66,508.182 1730.3,738.318 1731.93,730.428 1733.57,756.046 1735.2,765.558 1736.84,746.884 1738.48,784.606 1740.11,589.346 \n",
       "  1741.75,618.129 1743.38,705.706 1745.02,703.233 1746.66,699.594 1748.29,677.171 1749.93,556.185 1751.57,641.428 1753.2,667.158 1754.84,615.992 1756.47,673.625 \n",
       "  1758.11,673.079 1759.75,678.51 1761.38,473.417 1763.02,465.039 1764.65,497.806 1766.29,505.127 1767.93,616.715 1769.56,627.739 1771.2,570.176 1772.83,570.176 \n",
       "  1774.47,559.974 1776.11,578.497 1777.74,637.431 1779.38,646.816 1781.01,674.124 1782.65,607.418 1784.29,605.97 1785.92,579.217 1787.56,606.403 1789.2,738.081 \n",
       "  1790.83,738.081 1792.47,729.754 1794.1,703.606 1795.74,671.926 1797.38,581.308 1799.01,556.762 1800.65,660.408 1802.28,668.373 1803.92,694.237 1805.56,549.522 \n",
       "  1807.19,741.701 1808.83,702.772 1810.46,675.636 1812.1,578.062 1813.74,598.279 1815.37,390.993 1817.01,392.456 1818.65,389.31 1820.28,420.926 1821.92,474.406 \n",
       "  1823.55,467.163 1825.19,483.691 1826.83,472.474 1828.46,464.294 1830.1,451.246 1831.73,533.71 1833.37,515.66 1835.01,516.956 1836.64,502.686 1838.28,495.258 \n",
       "  1839.91,616.273 1841.55,740.932 1843.19,742.791 1844.82,753.428 1846.46,719.354 1848.09,648.082 1849.73,728.847 1851.37,713.236 1853,426.474 1854.64,512.185 \n",
       "  1856.28,445.893 1857.91,433.636 1859.55,662.114 1861.18,759.422 1862.82,736.803 1864.46,670.2 1866.09,642.445 1867.73,661.541 1869.36,693.715 1871,735.148 \n",
       "  1872.64,729.335 1874.27,731.424 1875.91,740.799 1877.54,717.622 1879.18,717.732 1880.82,730.061 1882.45,703.567 1884.09,746.773 1885.73,690.833 1887.36,690.205 \n",
       "  1889,703.867 1890.63,741.254 1892.27,765.012 1893.91,721.092 1895.54,685.787 1897.18,687.996 1898.81,656.748 1900.45,656.301 1902.09,614.95 1903.72,657.733 \n",
       "  \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip8400)\" d=\"\n",
       "M2220.23 841.529 L3952.76 841.529 L3952.76 107.004 L2220.23 107.004  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8403\">\n",
       "    <rect x=\"2220\" y=\"107\" width=\"1734\" height=\"736\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2614.79,841.529 2614.79,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  3047.79,841.529 3047.79,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  3480.8,841.529 3480.8,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  3913.81,841.529 3913.81,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,820.743 3952.76,820.743 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,653.858 3952.76,653.858 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,486.974 3952.76,486.974 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,320.089 3952.76,320.089 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,153.204 3952.76,153.204 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,841.529 3952.76,841.529 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,841.529 2220.23,107.004 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2614.79,841.529 2614.79,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  3047.79,841.529 3047.79,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  3480.8,841.529 3480.8,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  3913.81,841.529 3913.81,832.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,820.743 2241.02,820.743 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,653.858 2241.02,653.858 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,486.974 2241.02,486.974 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,320.089 2241.02,320.089 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,153.204 2241.02,153.204 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2614.79, 903.529)\" x=\"2614.79\" y=\"903.529\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 3047.79, 903.529)\" x=\"3047.79\" y=\"903.529\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 3480.8, 903.529)\" x=\"3480.8\" y=\"903.529\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 3913.81, 903.529)\" x=\"3913.81\" y=\"903.529\">2.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 838.243)\" x=\"2180.23\" y=\"838.243\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 671.358)\" x=\"2180.23\" y=\"671.358\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 504.474)\" x=\"2180.23\" y=\"504.474\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 337.589)\" x=\"2180.23\" y=\"337.589\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 170.704)\" x=\"2180.23\" y=\"170.704\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:82px; text-anchor:middle;\" transform=\"rotate(0, 3086.49, 72)\" x=\"3086.49\" y=\"72\">ampl</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 3086.49, 991.391)\" x=\"3086.49\" y=\"991.391\">Sample value</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 2061.76, 474.267)\" x=\"2061.76\" y=\"474.267\">Density</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8403)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2269.26,820.74 2277.47,820.738 2285.69,820.733 2293.9,820.721 2302.11,820.7 2310.33,820.661 2318.54,820.593 2326.75,820.48 2334.97,820.297 2343.18,820.014 \n",
       "  2351.39,819.597 2359.61,819.004 2367.82,818.194 2376.03,817.13 2384.25,815.781 2392.46,814.125 2400.67,812.149 2408.89,809.836 2417.1,807.161 2425.31,804.065 \n",
       "  2433.53,800.445 2441.74,796.132 2449.96,790.885 2458.17,784.39 2466.38,776.27 2474.6,766.112 2482.81,753.493 2491.02,738.024 2499.24,719.383 2507.45,697.361 \n",
       "  2515.66,671.89 2523.88,643.073 2532.09,611.199 2540.3,576.746 2548.52,540.361 2556.73,502.826 2564.94,465.003 2573.16,427.763 2581.37,391.914 2589.58,358.135 \n",
       "  2597.8,326.93 2606.01,298.599 2614.22,273.236 2622.44,250.748 2630.65,230.888 2638.86,213.298 2647.08,197.573 2655.29,183.332 2663.5,170.302 2671.72,158.388 \n",
       "  2679.93,147.734 2688.14,138.728 2696.36,131.958 2704.57,128.106 2712.78,127.793 2721,131.421 2729.21,139.031 2737.42,150.232 2745.64,164.205 2753.85,179.813 \n",
       "  2762.06,195.772 2770.28,210.866 2778.49,224.147 2786.7,235.084 2794.92,243.619 2803.13,250.129 2811.34,255.304 2819.56,259.979 2827.77,264.956 2835.98,270.876 \n",
       "  2844.2,278.148 2852.41,286.953 2860.62,297.299 2868.84,309.101 2877.05,322.252 2885.26,336.668 2893.48,352.291 2901.69,369.064 2909.9,386.894 2918.12,405.612 \n",
       "  2926.33,424.958 2934.54,444.592 2942.76,464.121 2950.97,483.146 2959.18,501.307 2967.4,518.323 2975.61,534.014 2983.82,548.309 2992.04,561.235 3000.25,572.895 \n",
       "  3008.46,583.445 3016.68,593.061 3024.89,601.919 3033.1,610.173 3041.32,617.951 3049.53,625.353 3057.74,632.46 3065.96,639.348 3074.17,646.103 3082.38,652.822 \n",
       "  3090.6,659.609 3098.81,666.557 3107.02,673.73 3115.24,681.139 3123.45,688.733 3131.67,696.403 3139.88,703.992 3148.09,711.329 3156.31,718.247 3164.52,724.615 \n",
       "  3172.73,730.35 3180.95,735.421 3189.16,739.851 3197.37,743.706 3205.59,747.088 3213.8,750.119 3222.01,752.927 3230.23,755.632 3238.44,758.328 3246.65,761.079 \n",
       "  3254.87,763.911 3263.08,766.821 3271.29,769.778 3279.51,772.742 3287.72,775.665 3295.93,778.499 3304.15,781.195 3312.36,783.703 3320.57,785.975 3328.79,787.97 \n",
       "  3337,789.661 3345.21,791.05 3353.43,792.169 3361.64,793.086 3369.85,793.898 3378.07,794.715 3386.28,795.646 3394.49,796.782 3402.71,798.175 3410.92,799.834 \n",
       "  3419.13,801.718 3427.35,803.746 3435.56,805.808 3443.77,807.782 3451.99,809.558 3460.2,811.048 3468.41,812.21 3476.63,813.043 3484.84,813.588 3493.05,813.917 \n",
       "  3501.27,814.115 3509.48,814.265 3517.69,814.431 3525.91,814.65 3534.12,814.932 3542.33,815.263 3550.55,815.612 3558.76,815.949 3566.97,816.25 3575.19,816.503 \n",
       "  3583.4,816.712 3591.61,816.89 3599.83,817.052 3608.04,817.207 3616.25,817.356 3624.47,817.484 3632.68,817.565 3640.89,817.566 3649.11,817.459 3657.32,817.222 \n",
       "  3665.53,816.847 3673.75,816.347 3681.96,815.75 3690.17,815.103 3698.39,814.461 3706.6,813.887 3714.81,813.443 3723.03,813.181 3731.24,813.136 3739.45,813.327 \n",
       "  3747.67,813.743 3755.88,814.355 3764.09,815.112 3772.31,815.953 3780.52,816.815 3788.73,817.639 3796.95,818.382 3805.16,819.015 3813.37,819.526 3821.59,819.919 \n",
       "  3829.8,820.207 3838.02,820.408 3846.23,820.542 3854.44,820.627 3862.66,820.679 3870.87,820.709 3879.08,820.726 3887.3,820.735 3895.51,820.739 3903.72,820.74 \n",
       "  \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip8400)\" d=\"\n",
       "M220.227 1841.53 L1952.76 1841.53 L1952.76 1107 L220.227 1107  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8404\">\n",
       "    <rect x=\"220\" y=\"1107\" width=\"1734\" height=\"736\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  267.625,1841.53 267.625,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  676.649,1841.53 676.649,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1085.67,1841.53 1085.67,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1494.7,1841.53 1494.7,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1903.72,1841.53 1903.72,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,1735.55 1952.76,1735.55 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,1598.19 1952.76,1598.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,1460.84 1952.76,1460.84 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,1323.49 1952.76,1323.49 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  220.227,1231.92 1952.76,1231.92 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1841.53 1952.76,1841.53 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1841.53 220.227,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  267.625,1841.53 267.625,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  676.649,1841.53 676.649,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1085.67,1841.53 1085.67,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1494.7,1841.53 1494.7,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1903.72,1841.53 1903.72,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1735.55 241.017,1735.55 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1598.19 241.017,1598.19 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1460.84 241.017,1460.84 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1323.49 241.017,1323.49 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  220.227,1231.92 241.017,1231.92 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 267.625, 1903.53)\" x=\"267.625\" y=\"1903.53\">0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 676.649, 1903.53)\" x=\"676.649\" y=\"1903.53\">250</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1085.67, 1903.53)\" x=\"1085.67\" y=\"1903.53\">500</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1494.7, 1903.53)\" x=\"1494.7\" y=\"1903.53\">750</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1903.72, 1903.53)\" x=\"1903.72\" y=\"1903.53\">1000</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 1753.05)\" x=\"180.227\" y=\"1753.05\">0.9</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 1615.69)\" x=\"180.227\" y=\"1615.69\">1.2</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 1478.34)\" x=\"180.227\" y=\"1478.34\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 1340.99)\" x=\"180.227\" y=\"1340.99\">1.8</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 180.227, 1249.42)\" x=\"180.227\" y=\"1249.42\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:82px; text-anchor:middle;\" transform=\"rotate(0, 1086.49, 1072)\" x=\"1086.49\" y=\"1072\">tau</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 1086.49, 1991.39)\" x=\"1086.49\" y=\"1991.39\">Iteration</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 61.7591, 1474.27)\" x=\"61.7591\" y=\"1474.27\">Sample value</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8404)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  269.261,1679.39 270.897,1572.47 272.533,1573.36 274.169,1578.97 275.805,1581.4 277.441,1550.68 279.077,1545.46 280.714,1741.75 282.35,1734.83 283.986,1740.39 \n",
       "  285.622,1729.05 287.258,1743.71 288.894,1714.95 290.53,1743.08 292.166,1629.56 293.802,1617.83 295.438,1608.11 297.075,1637.14 298.711,1637.34 300.347,1628.34 \n",
       "  301.983,1664.39 303.619,1632.5 305.255,1644.24 306.891,1633.2 308.527,1651.64 310.163,1648.4 311.799,1630.16 313.436,1694.88 315.072,1718.74 316.708,1463.9 \n",
       "  318.344,1441.23 319.98,1442.79 321.616,1452.22 323.252,1463.59 324.888,1779.05 326.524,1785.34 328.16,1772.18 329.796,1556.44 331.433,1521.27 333.069,1574.58 \n",
       "  334.705,1656.47 336.341,1693 337.977,1658.96 339.613,1674.68 341.249,1684.59 342.885,1498.57 344.521,1495.62 346.157,1565.86 347.794,1607.03 349.43,1600.19 \n",
       "  351.066,1656.15 352.702,1700.79 354.338,1707.43 355.974,1740.74 357.61,1703.7 359.246,1587.04 360.882,1587.43 362.518,1676.14 364.155,1680.59 365.791,1695.67 \n",
       "  367.427,1670.61 369.063,1687.83 370.699,1702.6 372.335,1771.68 373.971,1700.89 375.607,1715.19 377.243,1655.27 378.879,1654.39 380.516,1659.8 382.152,1717.93 \n",
       "  383.788,1633.08 385.424,1726.33 387.06,1692.06 388.696,1694.2 390.332,1631.73 391.968,1704.3 393.604,1655.08 395.24,1718 396.876,1701.77 398.513,1711.43 \n",
       "  400.149,1690.78 401.785,1606.43 403.421,1608.48 405.057,1374 406.693,1776.27 408.329,1663.94 409.965,1625.97 411.601,1620.11 413.237,1635.33 414.874,1658.9 \n",
       "  416.51,1713.79 418.146,1683.96 419.782,1690.67 421.418,1690.82 423.054,1678.32 424.69,1684.76 426.326,1683.13 427.962,1711.31 429.598,1723.86 431.235,1718.46 \n",
       "  432.871,1648.92 434.507,1714.45 436.143,1669.89 437.779,1599.62 439.415,1652.56 441.051,1603.21 442.687,1535.49 444.323,1762.03 445.959,1755.1 447.596,1776.54 \n",
       "  449.232,1658.81 450.868,1659.88 452.504,1666.26 454.14,1697.96 455.776,1698.35 457.412,1687.3 459.048,1721.19 460.684,1697.11 462.32,1648.79 463.956,1740.26 \n",
       "  465.593,1751.5 467.229,1751.5 468.865,1736.5 470.501,1722.12 472.137,1722.12 473.773,1707.19 475.409,1694.46 477.045,1644.73 478.681,1723.48 480.317,1761.04 \n",
       "  481.954,1758.49 483.59,1744.64 485.226,1694.45 486.862,1599.65 488.498,1588.61 490.134,1745.08 491.77,1715.14 493.406,1706.29 495.042,1709.04 496.678,1708.09 \n",
       "  498.315,1707.78 499.951,1566.2 501.587,1564.52 503.223,1605.56 504.859,1661.26 506.495,1587.14 508.131,1604.89 509.767,1606.8 511.403,1606.38 513.039,1724.11 \n",
       "  514.675,1649.5 516.312,1668.46 517.948,1666.05 519.584,1598.66 521.22,1562.18 522.856,1599.78 524.492,1580.44 526.128,1520.58 527.764,1218.06 529.4,1369.45 \n",
       "  531.036,1360.9 532.673,1657.63 534.309,1616.91 535.945,1400.69 537.581,1397.06 539.217,1354.01 540.853,1418.83 542.489,1380.84 544.125,1365.48 545.761,1692.97 \n",
       "  547.397,1687.59 549.034,1666.17 550.67,1644.1 552.306,1654.5 553.942,1673.15 555.578,1685.75 557.214,1670.4 558.85,1643.32 560.486,1603.36 562.122,1631.93 \n",
       "  563.758,1687.2 565.395,1725.91 567.031,1652.72 568.667,1680.38 570.303,1703.08 571.939,1673.79 573.575,1724.72 575.211,1573.29 576.847,1546.28 578.483,1718.91 \n",
       "  580.119,1719.38 581.755,1725.49 583.392,1660.37 585.028,1688.33 586.664,1697.73 588.3,1712.86 589.936,1682.81 591.572,1698.55 593.208,1711.95 594.844,1671.43 \n",
       "  596.48,1704.55 598.116,1522.56 599.753,1511.16 601.389,1510.91 603.025,1536.16 604.661,1511.29 606.297,1727.08 607.933,1696.7 609.569,1714.94 611.205,1733.58 \n",
       "  612.841,1710.68 614.477,1662.6 616.114,1534.1 617.75,1712.68 619.386,1697.62 621.022,1718.09 622.658,1701.75 624.294,1697.23 625.93,1690.65 627.566,1695.27 \n",
       "  629.202,1670.66 630.838,1726.84 632.474,1681.73 634.111,1777.67 635.747,1774.16 637.383,1611.25 639.019,1546.62 640.655,1373.51 642.291,1305.69 643.927,1257.77 \n",
       "  645.563,1275.67 647.199,1166.78 648.835,1134.57 650.472,1127.79 652.108,1482.3 653.744,1638.99 655.38,1637.2 657.016,1569.39 658.652,1568.47 660.288,1575.29 \n",
       "  661.924,1633.21 663.56,1740.88 665.196,1724.87 666.833,1663.31 668.469,1626.3 670.105,1717.04 671.741,1717.71 673.377,1678.61 675.013,1715.94 676.649,1586.88 \n",
       "  678.285,1604.4 679.921,1680.94 681.557,1664.44 683.194,1733.14 684.83,1707.11 686.466,1720.53 688.102,1731.75 689.738,1752.09 691.374,1595.89 693.01,1623.42 \n",
       "  694.646,1737.14 696.282,1779.77 697.918,1608.12 699.554,1586.97 701.191,1591.09 702.827,1639.88 704.463,1654.64 706.099,1621.9 707.735,1621.34 709.371,1691.09 \n",
       "  711.007,1713.22 712.643,1601.27 714.279,1498.98 715.915,1479.12 717.552,1788.71 719.188,1782.3 720.824,1620.74 722.46,1644.44 724.096,1648.5 725.732,1637.26 \n",
       "  727.368,1686.03 729.004,1628.43 730.64,1530.86 732.276,1533.72 733.913,1556.77 735.549,1523.45 737.185,1513.94 738.821,1521.37 740.457,1503.3 742.093,1507.01 \n",
       "  743.729,1509.84 745.365,1537.78 747.001,1581.05 748.637,1581.05 750.273,1592.69 751.91,1719.92 753.546,1582.52 755.182,1568.7 756.818,1606.81 758.454,1609.46 \n",
       "  760.09,1611.96 761.726,1609.65 763.362,1600.79 764.998,1627.83 766.634,1543.64 768.271,1625.41 769.907,1627.53 771.543,1682.99 773.179,1660.88 774.815,1652.98 \n",
       "  776.451,1592.24 778.087,1632.74 779.723,1640.03 781.359,1631.16 782.995,1631.81 784.632,1631.05 786.268,1564.1 787.904,1694.52 789.54,1682.28 791.176,1544.27 \n",
       "  792.812,1772.2 794.448,1765.15 796.084,1739.82 797.72,1632.83 799.356,1567.72 800.993,1718.94 802.629,1718.94 804.265,1717.73 805.901,1670.53 807.537,1646.82 \n",
       "  809.173,1586.84 810.809,1669.96 812.445,1725.52 814.081,1714.88 815.717,1654.04 817.353,1671.68 818.99,1670.36 820.626,1630.3 822.262,1716.27 823.898,1716.38 \n",
       "  825.534,1711.16 827.17,1694.71 828.806,1667.1 830.442,1653.4 832.078,1466.63 833.714,1820.74 835.351,1786.91 836.987,1525.47 838.623,1540.53 840.259,1584.92 \n",
       "  841.895,1583.43 843.531,1678.47 845.167,1635.72 846.803,1643.13 848.439,1644.11 850.075,1673.61 851.712,1686.09 853.348,1489.99 854.984,1478.19 856.62,1684.31 \n",
       "  858.256,1558.79 859.892,1593.72 861.528,1564.87 863.164,1576.63 864.8,1480.65 866.436,1444.81 868.073,1685.66 869.709,1686.1 871.345,1526.49 872.981,1685.56 \n",
       "  874.617,1655.88 876.253,1682.2 877.889,1697.29 879.525,1669.72 881.161,1477.42 882.797,1468.93 884.433,1439.37 886.07,1516.66 887.706,1535.85 889.342,1584.31 \n",
       "  890.978,1684.57 892.614,1699.35 894.25,1671.12 895.886,1678.26 897.522,1702.37 899.158,1670.51 900.794,1648.93 902.431,1611.53 904.067,1731.28 905.703,1769.93 \n",
       "  907.339,1775.21 908.975,1777.08 910.611,1768.11 912.247,1765.5 913.883,1503.04 915.519,1463.08 917.155,1438.65 918.792,1604.69 920.428,1712.5 922.064,1720.47 \n",
       "  923.7,1713.96 925.336,1678.85 926.972,1680.7 928.608,1683.09 930.244,1704.46 931.88,1634.52 933.516,1634.52 935.152,1639.55 936.789,1590.35 938.425,1625.89 \n",
       "  940.061,1665.93 941.697,1679 943.333,1623.22 944.969,1631 946.605,1618.46 948.241,1533.96 949.877,1579.05 951.513,1728.04 953.15,1739.67 954.786,1698.44 \n",
       "  956.422,1539.99 958.058,1581.83 959.694,1710.05 961.33,1709.27 962.966,1541.72 964.602,1567.79 966.238,1628.14 967.874,1622.14 969.511,1690.71 971.147,1690.12 \n",
       "  972.783,1623.67 974.419,1621.82 976.055,1625.58 977.691,1580.79 979.327,1597.02 980.963,1598.93 982.599,1582.32 984.235,1681.64 985.872,1647.22 987.508,1546.11 \n",
       "  989.144,1543.03 990.78,1560.28 992.416,1548.03 994.052,1544.72 995.688,1552.53 997.324,1628.91 998.96,1727.64 1000.6,1716.42 1002.23,1726.73 1003.87,1725.1 \n",
       "  1005.5,1708.23 1007.14,1709.43 1008.78,1641.32 1010.41,1696.81 1012.05,1678.17 1013.69,1688.75 1015.32,1671.29 1016.96,1691.52 1018.59,1637.14 1020.23,1643.52 \n",
       "  1021.87,1553.61 1023.5,1559.96 1025.14,1558.84 1026.77,1603.82 1028.41,1591.7 1030.05,1711.27 1031.68,1734.46 1033.32,1628.6 1034.95,1444.34 1036.59,1658.51 \n",
       "  1038.23,1704.19 1039.86,1535.4 1041.5,1550.88 1043.13,1554.94 1044.77,1613.13 1046.41,1619.56 1048.04,1610.42 1049.68,1536.13 1051.32,1622.57 1052.95,1610.17 \n",
       "  1054.59,1561.22 1056.22,1558.16 1057.86,1652.2 1059.5,1697.34 1061.13,1667.72 1062.77,1599.81 1064.4,1723.41 1066.04,1729.73 1067.68,1737.14 1069.31,1750.79 \n",
       "  1070.95,1739.59 1072.58,1744.54 1074.22,1697.98 1075.86,1643.94 1077.49,1645.6 1079.13,1706.27 1080.77,1571.64 1082.4,1570.6 1084.04,1566.95 1085.67,1664.15 \n",
       "  1087.31,1694.03 1088.95,1662.09 1090.58,1563.26 1092.22,1608.34 1093.85,1676.86 1095.49,1635.72 1097.13,1597.94 1098.76,1698.17 1100.4,1711.31 1102.03,1711.31 \n",
       "  1103.67,1620.58 1105.31,1496.58 1106.94,1732.03 1108.58,1536.05 1110.21,1544.96 1111.85,1552.45 1113.49,1343.71 1115.12,1397.5 1116.76,1428.45 1118.4,1464.33 \n",
       "  1120.03,1471.46 1121.67,1666.36 1123.3,1643.81 1124.94,1691.51 1126.58,1660.34 1128.21,1635.72 1129.85,1649.81 1131.48,1663.08 1133.12,1668.2 1134.76,1610.04 \n",
       "  1136.39,1588.25 1138.03,1588.75 1139.66,1588.35 1141.3,1610.22 1142.94,1505.56 1144.57,1444.67 1146.21,1452.72 1147.85,1471.48 1149.48,1479.63 1151.12,1474.25 \n",
       "  1152.75,1512.68 1154.39,1350.7 1156.03,1353.19 1157.66,1341.94 1159.3,1297.99 1160.93,1238.94 1162.57,1670.31 1164.21,1681.92 1165.84,1659.75 1167.48,1660.15 \n",
       "  1169.11,1522.42 1170.75,1521.66 1172.39,1512.49 1174.02,1528.39 1175.66,1452.91 1177.29,1532.03 1178.93,1525.61 1180.57,1673.19 1182.2,1649.31 1183.84,1652.65 \n",
       "  1185.48,1703.25 1187.11,1727.73 1188.75,1488.92 1190.38,1451.87 1192.02,1424.88 1193.66,1675.74 1195.29,1644.43 1196.93,1678.24 1198.56,1695.23 1200.2,1664.35 \n",
       "  1201.84,1661.32 1203.47,1747.94 1205.11,1658.2 1206.74,1724.37 1208.38,1748.59 1210.02,1737.46 1211.65,1643.13 1213.29,1644.5 1214.93,1731.59 1216.56,1738.2 \n",
       "  1218.2,1593.8 1219.83,1713.33 1221.47,1673.72 1223.11,1674.66 1224.74,1663 1226.38,1668.88 1228.01,1625.85 1229.65,1640.93 1231.29,1671.07 1232.92,1686.82 \n",
       "  1234.56,1631.33 1236.19,1634.26 1237.83,1610.36 1239.47,1639.93 1241.1,1712.76 1242.74,1707.98 1244.37,1714.92 1246.01,1731.24 1247.65,1701.3 1249.28,1701.3 \n",
       "  1250.92,1701.3 1252.56,1726.82 1254.19,1764.11 1255.83,1772.31 1257.46,1766.26 1259.1,1471.65 1260.74,1508.09 1262.37,1580.79 1264.01,1585.64 1265.64,1574.82 \n",
       "  1267.28,1675.48 1268.92,1728.92 1270.55,1685.41 1272.19,1636.14 1273.82,1669.13 1275.46,1558.37 1277.1,1553.94 1278.73,1551.96 1280.37,1682.74 1282.01,1665.09 \n",
       "  1283.64,1692.49 1285.28,1667.81 1286.91,1676.32 1288.55,1562.06 1290.19,1555.48 1291.82,1530.73 1293.46,1528.13 1295.09,1652.03 1296.73,1594.43 1298.37,1640.23 \n",
       "  1300,1657.74 1301.64,1635.1 1303.27,1643.86 1304.91,1622.01 1306.55,1659.04 1308.18,1625.1 1309.82,1606.61 1311.45,1699.14 1313.09,1715.19 1314.73,1818.48 \n",
       "  1316.36,1740.28 1318,1771.83 1319.64,1677.09 1321.27,1658.93 1322.91,1657.13 1324.54,1689.24 1326.18,1703.12 1327.82,1684.63 1329.45,1718.74 1331.09,1568.9 \n",
       "  1332.72,1558.57 1334.36,1586.56 1336,1697.81 1337.63,1623.89 1339.27,1607.06 1340.9,1613.34 1342.54,1624.49 1344.18,1613.04 1345.81,1733.24 1347.45,1615.91 \n",
       "  1349.09,1621.86 1350.72,1724.6 1352.36,1730.69 1353.99,1753.18 1355.63,1764.73 1357.27,1732.19 1358.9,1737.78 1360.54,1695.72 1362.17,1744.49 1363.81,1721.06 \n",
       "  1365.45,1726.77 1367.08,1718.83 1368.72,1735.03 1370.35,1734.13 1371.99,1730.33 1373.63,1671.83 1375.26,1674.17 1376.9,1558.42 1378.53,1576.25 1380.17,1578.98 \n",
       "  1381.81,1593.05 1383.44,1520.87 1385.08,1655.69 1386.72,1646.95 1388.35,1551.39 1389.99,1564.34 1391.62,1543 1393.26,1621.97 1394.9,1630.77 1396.53,1654.3 \n",
       "  1398.17,1643.41 1399.8,1648.97 1401.44,1595.7 1403.08,1534.37 1404.71,1629.74 1406.35,1598.16 1407.98,1737.98 1409.62,1762.52 1411.26,1718.36 1412.89,1716.32 \n",
       "  1414.53,1706.74 1416.17,1550.13 1417.8,1575.19 1419.44,1597.77 1421.07,1744.91 1422.71,1730.98 1424.35,1588.53 1425.98,1608.21 1427.62,1598.09 1429.25,1602.34 \n",
       "  1430.89,1666.39 1432.53,1634.61 1434.16,1666.3 1435.8,1722.67 1437.43,1743.91 1439.07,1750.7 1440.71,1748.92 1442.34,1771.4 1443.98,1768.66 1445.61,1427.11 \n",
       "  1447.25,1410.83 1448.89,1401.25 1450.52,1391 1452.16,1488.1 1453.8,1487.4 1455.43,1484.56 1457.07,1622.82 1458.7,1605.56 1460.34,1608.09 1461.98,1606.97 \n",
       "  1463.61,1695.2 1465.25,1685.81 1466.88,1705.48 1468.52,1704.21 1470.16,1664.73 1471.79,1705.13 1473.43,1671.73 1475.06,1669.96 1476.7,1594.08 1478.34,1583.44 \n",
       "  1479.97,1596.08 1481.61,1579.25 1483.25,1576.7 1484.88,1591.81 1486.52,1583.06 1488.15,1560.71 1489.79,1720.06 1491.43,1729.85 1493.06,1760.23 1494.7,1741.8 \n",
       "  1496.33,1735.11 1497.97,1715.94 1499.61,1556.03 1501.24,1610 1502.88,1601.7 1504.51,1729.55 1506.15,1738.35 1507.79,1740.11 1509.42,1723.69 1511.06,1726.89 \n",
       "  1512.69,1689.29 1514.33,1675.55 1515.97,1677.32 1517.6,1690.29 1519.24,1609.74 1520.88,1627.36 1522.51,1688.23 1524.15,1681.47 1525.78,1591.92 1527.42,1580.76 \n",
       "  1529.06,1526.21 1530.69,1633.77 1532.33,1388.09 1533.96,1577.77 1535.6,1451.46 1537.24,1706.67 1538.87,1705.95 1540.51,1650.03 1542.14,1654.22 1543.78,1632.23 \n",
       "  1545.42,1629.66 1547.05,1609.81 1548.69,1610.39 1550.33,1581.13 1551.96,1682.15 1553.6,1511.89 1555.23,1539.07 1556.87,1539.07 1558.51,1601.42 1560.14,1585.62 \n",
       "  1561.78,1574.86 1563.41,1734.53 1565.05,1706.46 1566.69,1700.21 1568.32,1657.59 1569.96,1634.98 1571.59,1671.94 1573.23,1668.63 1574.87,1632.69 1576.5,1731.8 \n",
       "  1578.14,1711.45 1579.77,1730.66 1581.41,1706.51 1583.05,1695.69 1584.68,1698.32 1586.32,1698.32 1587.96,1690.11 1589.59,1555.74 1591.23,1530.79 1592.86,1594.37 \n",
       "  1594.5,1574.81 1596.14,1558.52 1597.77,1685.79 1599.41,1688.94 1601.04,1678.23 1602.68,1752.88 1604.32,1686.26 1605.95,1688.38 1607.59,1699.96 1609.22,1630.57 \n",
       "  1610.86,1641.65 1612.5,1659.4 1614.13,1665.52 1615.77,1665.52 1617.41,1666.17 1619.04,1532.34 1620.68,1536.06 1622.31,1510.38 1623.95,1623.24 1625.59,1628.03 \n",
       "  1627.22,1568.88 1628.86,1667.68 1630.49,1702.22 1632.13,1662.51 1633.77,1655.49 1635.4,1675.19 1637.04,1681.12 1638.67,1677.22 1640.31,1669.18 1641.95,1733.84 \n",
       "  1643.58,1795.33 1645.22,1797.37 1646.85,1799.47 1648.49,1806.23 1650.13,1798.69 1651.76,1360.98 1653.4,1399.18 1655.04,1739.42 1656.67,1535.05 1658.31,1489.88 \n",
       "  1659.94,1476.26 1661.58,1538.07 1663.22,1536.94 1664.85,1553.17 1666.49,1591.71 1668.12,1600.09 1669.76,1600.09 1671.4,1579.14 1673.03,1628.1 1674.67,1637.16 \n",
       "  1676.3,1615.18 1677.94,1652.98 1679.58,1716.99 1681.21,1717.76 1682.85,1747.67 1684.49,1768.53 1686.12,1772.83 1687.76,1783.46 1689.39,1770.88 1691.03,1580.05 \n",
       "  1692.67,1521.45 1694.3,1600.09 1695.94,1609.94 1697.57,1631.72 1699.21,1654.57 1700.85,1665.59 1702.48,1654.8 1704.12,1627.46 1705.75,1696.53 1707.39,1606.81 \n",
       "  1709.03,1722.49 1710.66,1722.49 1712.3,1768.07 1713.93,1728.22 1715.57,1777.14 1717.21,1767.74 1718.84,1776.04 1720.48,1727.94 1722.12,1711.2 1723.75,1668.1 \n",
       "  1725.39,1497.47 1727.02,1507.26 1728.66,1552.06 1730.3,1755.02 1731.93,1743.61 1733.57,1769.7 1735.2,1767.36 1736.84,1781.04 1738.48,1766.49 1740.11,1669.46 \n",
       "  1741.75,1652.91 1743.38,1737.18 1745.02,1705.58 1746.66,1711.04 1748.29,1698.4 1749.93,1539.41 1751.57,1667.14 1753.2,1673.12 1754.84,1624.38 1756.47,1696.33 \n",
       "  1758.11,1700.03 1759.75,1690.51 1761.38,1491.03 1763.02,1487.89 1764.65,1507.05 1766.29,1548.72 1767.93,1602.81 1769.56,1664.99 1771.2,1595.54 1772.83,1595.54 \n",
       "  1774.47,1585.63 1776.11,1583.65 1777.74,1629.49 1779.38,1681.27 1781.01,1670.9 1782.65,1603.9 1784.29,1598.87 1785.92,1644.95 1787.56,1638.43 1789.2,1718.68 \n",
       "  1790.83,1718.68 1792.47,1725.25 1794.1,1742.72 1795.74,1674.93 1797.38,1580.17 1799.01,1606.98 1800.65,1672.67 1802.28,1643.14 1803.92,1689.09 1805.56,1577.29 \n",
       "  1807.19,1729 1808.83,1717.12 1810.46,1723.48 1812.1,1599.76 1813.74,1585.97 1815.37,1378.54 1817.01,1350.12 1818.65,1357.6 1820.28,1451.08 1821.92,1473.27 \n",
       "  1823.55,1519.57 1825.19,1453.34 1826.83,1442.06 1828.46,1484.11 1830.1,1561.7 1831.73,1527.23 1833.37,1510.57 1835.01,1506.07 1836.64,1495.56 1838.28,1465.02 \n",
       "  1839.91,1611.89 1841.55,1747.8 1843.19,1755.11 1844.82,1781.97 1846.46,1678.35 1848.09,1715.67 1849.73,1685.57 1851.37,1726.86 1853,1496.38 1854.64,1511.48 \n",
       "  1856.28,1514.65 1857.91,1527.4 1859.55,1700.35 1861.18,1783.44 1862.82,1728.82 1864.46,1698.3 1866.09,1668.53 1867.73,1660.67 1869.36,1706.3 1871,1741.72 \n",
       "  1872.64,1741.72 1874.27,1738.01 1875.91,1724.67 1877.54,1756.9 1879.18,1761.28 1880.82,1742.71 1882.45,1709.5 1884.09,1716.51 1885.73,1728.72 1887.36,1733.26 \n",
       "  1889,1744.37 1890.63,1740.84 1892.27,1738 1893.91,1717.89 1895.54,1709.9 1897.18,1709.39 1898.81,1670.82 1900.45,1661.41 1902.09,1640.66 1903.72,1662.21 \n",
       "  \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip8400)\" d=\"\n",
       "M2220.23 1841.53 L3952.76 1841.53 L3952.76 1107 L2220.23 1107  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip8405\">\n",
       "    <rect x=\"2220\" y=\"1107\" width=\"1734\" height=\"736\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2237.96,1841.53 2237.96,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2675.04,1841.53 2675.04,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  3112.12,1841.53 3112.12,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  3549.2,1841.53 3549.2,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,1820.74 3952.76,1820.74 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,1666.21 3952.76,1666.21 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,1511.68 3952.76,1511.68 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,1357.14 3952.76,1357.14 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2220.23,1202.61 3952.76,1202.61 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1841.53 3952.76,1841.53 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1841.53 2220.23,1107 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2237.96,1841.53 2237.96,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2675.04,1841.53 2675.04,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  3112.12,1841.53 3112.12,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  3549.2,1841.53 3549.2,1832.71 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1820.74 2241.02,1820.74 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1666.21 2241.02,1666.21 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1511.68 2241.02,1511.68 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1357.14 2241.02,1357.14 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip8400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2220.23,1202.61 2241.02,1202.61 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2237.96, 1903.53)\" x=\"2237.96\" y=\"1903.53\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2675.04, 1903.53)\" x=\"2675.04\" y=\"1903.53\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 3112.12, 1903.53)\" x=\"3112.12\" y=\"1903.53\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 3549.2, 1903.53)\" x=\"3549.2\" y=\"1903.53\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 1838.24)\" x=\"2180.23\" y=\"1838.24\">0.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 1683.71)\" x=\"2180.23\" y=\"1683.71\">0.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 1529.18)\" x=\"2180.23\" y=\"1529.18\">1.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 1374.64)\" x=\"2180.23\" y=\"1374.64\">1.5</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 2180.23, 1220.11)\" x=\"2180.23\" y=\"1220.11\">2.0</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:82px; text-anchor:middle;\" transform=\"rotate(0, 3086.49, 1072)\" x=\"3086.49\" y=\"1072\">tau</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(0, 3086.49, 1991.39)\" x=\"3086.49\" y=\"1991.39\">Sample value</text>\n",
       "</g>\n",
       "<g clip-path=\"url(#clip8400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:66px; text-anchor:middle;\" transform=\"rotate(-90, 2061.76, 1474.27)\" x=\"2061.76\" y=\"1474.27\">Density</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip8405)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2269.26,1820.74 2277.47,1820.74 2285.69,1820.73 2293.9,1820.72 2302.11,1820.71 2310.33,1820.67 2318.54,1820.61 2326.75,1820.5 2334.97,1820.33 2343.18,1820.06 \n",
       "  2351.39,1819.64 2359.61,1819.02 2367.82,1818.15 2376.03,1816.95 2384.25,1815.34 2392.46,1813.2 2400.67,1810.43 2408.89,1806.87 2417.1,1802.33 2425.31,1796.59 \n",
       "  2433.53,1789.42 2441.74,1780.57 2449.96,1769.84 2458.17,1757.1 2466.38,1742.31 2474.6,1725.57 2482.81,1707.06 2491.02,1687 2499.24,1665.57 2507.45,1642.84 \n",
       "  2515.66,1618.71 2523.88,1592.87 2532.09,1564.89 2540.3,1534.33 2548.52,1500.91 2556.73,1464.61 2564.94,1425.86 2573.16,1385.47 2581.37,1344.66 2589.58,1304.82 \n",
       "  2597.8,1267.37 2606.01,1233.58 2614.22,1204.37 2622.44,1180.26 2630.65,1161.3 2638.86,1147.22 2647.08,1137.47 2655.29,1131.38 2663.5,1128.32 2671.72,1127.79 \n",
       "  2679.93,1129.49 2688.14,1133.29 2696.36,1139.21 2704.57,1147.29 2712.78,1157.53 2721,1169.78 2729.21,1183.73 2737.42,1198.91 2745.64,1214.78 2753.85,1230.8 \n",
       "  2762.06,1246.51 2770.28,1261.56 2778.49,1275.76 2786.7,1289.01 2794.92,1301.31 2803.13,1312.72 2811.34,1323.36 2819.56,1333.46 2827.77,1343.3 2835.98,1353.25 \n",
       "  2844.2,1363.71 2852.41,1375.02 2860.62,1387.44 2868.84,1401.03 2877.05,1415.67 2885.26,1431.08 2893.48,1446.85 2901.69,1462.53 2909.9,1477.73 2918.12,1492.14 \n",
       "  2926.33,1505.61 2934.54,1518.17 2942.76,1529.95 2950.97,1541.2 2959.18,1552.2 2967.4,1563.19 2975.61,1574.37 2983.82,1585.83 2992.04,1597.56 3000.25,1609.45 \n",
       "  3008.46,1621.34 3016.68,1633.02 3024.89,1644.28 3033.1,1654.91 3041.32,1664.8 3049.53,1673.87 3057.74,1682.11 3065.96,1689.6 3074.17,1696.43 3082.38,1702.76 \n",
       "  3090.6,1708.72 3098.81,1714.48 3107.02,1720.16 3115.24,1725.87 3123.45,1731.69 3131.67,1737.66 3139.88,1743.74 3148.09,1749.87 3156.31,1755.89 3164.52,1761.63 \n",
       "  3172.73,1766.87 3180.95,1771.42 3189.16,1775.15 3197.37,1777.98 3205.59,1779.92 3213.8,1781.04 3222.01,1781.49 3230.23,1781.42 3238.44,1781 3246.65,1780.38 \n",
       "  3254.87,1779.69 3263.08,1779.06 3271.29,1778.59 3279.51,1778.42 3287.72,1778.65 3295.93,1779.41 3304.15,1780.77 3312.36,1782.79 3320.57,1785.44 3328.79,1788.61 \n",
       "  3337,1792.15 3345.21,1795.84 3353.43,1799.44 3361.64,1802.75 3369.85,1805.6 3378.07,1807.91 3386.28,1809.64 3394.49,1810.86 3402.71,1811.65 3410.92,1812.13 \n",
       "  3419.13,1812.41 3427.35,1812.57 3435.56,1812.68 3443.77,1812.77 3451.99,1812.86 3460.2,1812.95 3468.41,1813.03 3476.63,1813.1 3484.84,1813.17 3493.05,1813.23 \n",
       "  3501.27,1813.31 3509.48,1813.4 3517.69,1813.52 3525.91,1813.67 3534.12,1813.87 3542.33,1814.13 3550.55,1814.44 3558.76,1814.81 3566.97,1815.24 3575.19,1815.72 \n",
       "  3583.4,1816.22 3591.61,1816.71 3599.83,1817.16 3608.04,1817.53 3616.25,1817.8 3624.47,1817.93 3632.68,1817.94 3640.89,1817.82 3649.11,1817.6 3657.32,1817.31 \n",
       "  3665.53,1816.97 3673.75,1816.6 3681.96,1816.21 3690.17,1815.83 3698.39,1815.46 3706.6,1815.11 3714.81,1814.82 3723.03,1814.63 3731.24,1814.55 3739.45,1814.64 \n",
       "  3747.67,1814.91 3755.88,1815.34 3764.09,1815.92 3772.31,1816.6 3780.52,1817.32 3788.73,1818.03 3796.95,1818.68 3805.16,1819.24 3813.37,1819.69 3821.59,1820.04 \n",
       "  3829.8,1820.29 3838.02,1820.46 3846.23,1820.58 3854.44,1820.65 3862.66,1820.69 3870.87,1820.72 3879.08,1820.73 3887.3,1820.74 3895.51,1820.74 3903.72,1820.74 \n",
       "  \n",
       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot and save results\n",
    "p = plot(chn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.3.1",
   "language": "julia",
   "name": "julia-1.3"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.3.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}