diff --git a/.buildkite/run_benchmark.yml b/.buildkite/run_benchmark.yml
index 48e3b5004..a8f285069 100644
--- a/.buildkite/run_benchmark.yml
+++ b/.buildkite/run_benchmark.yml
@@ -15,7 +15,7 @@ steps:
             - BUILDKITE_S3_SECRET_ACCESS_KEY="U2FsdGVkX19MkMLkCxkclrpxYMfzHvYlUJssaSbX/wkdNiL+H5/aHwiYiTsBXyXh2m/1pcIUMHCR0nerHevB8g=="
             - BUILDKITE_S3_DEFAULT_REGION="U2FsdGVkX18ccoE9FmtkwsCm1x0MLMBlN/FLcAyKkY4="
       - JuliaCI/julia#v1:
-          version: 1.8
+          version: 1.9
       - staticfloat/sandbox:
           rootfs_url: "https://github.com/ven-k/Placeholder/releases/download/v0.23.0/aws_uploader.x86_64.tar.gz"
           rootfs_treehash: "d46b35aa927024de8729d63fde18442a0a590e62"
diff --git a/benchmarks/Jumps/Manifest.toml b/benchmarks/Jumps/Manifest.toml
index 67848a803..deb5e6fb5 100644
--- a/benchmarks/Jumps/Manifest.toml
+++ b/benchmarks/Jumps/Manifest.toml
@@ -1,8 +1,18 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.8.5"
+julia_version = "1.9.2"
 manifest_format = "2.0"
-project_hash = "c42d2169376cc3fcf8f85135002943a271f20447"
+project_hash = "9b07b1a633980f322bdc19e461c407d9a51da856"
+
+[[deps.ADTypes]]
+git-tree-sha1 = "e58c18d2312749847a74f5be80bb0fa53da102bd"
+uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+version = "0.1.5"
+
+[[deps.ANSIColoredPrinters]]
+git-tree-sha1 = "574baf8110975760d391c710b6341da1afa48d8c"
+uuid = "a4c015fc-c6ff-483c-b24f-f7ea428134e9"
+version = "0.0.1"
 
 [[deps.AbstractAlgebra]]
 deps = ["GroupsCore", "InteractiveUtils", "LinearAlgebra", "MacroTools", "Markdown", "Random", "RandomExtensions", "SparseArrays", "Test"]
@@ -11,15 +21,19 @@ uuid = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
 version = "0.27.10"
 
 [[deps.AbstractTrees]]
-git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
+git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
 uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
-version = "0.4.4"
+version = "0.3.4"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "cc37d689f599e8df4f464b2fa3870ff7db7492ef"
+git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.1"
+version = "3.6.2"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
 
 [[deps.ArgCheck]]
 git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4"
@@ -37,10 +51,26 @@ uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
 version = "0.2.0"
 
 [[deps.ArrayInterface]]
-deps = ["Adapt", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "a89acc90c551067cd84119ff018619a1a76c6277"
+deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.2.1"
+version = "7.4.11"
+
+    [deps.ArrayInterface.extensions]
+    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
+    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
+    ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
+    ArrayInterfaceTrackerExt = "Tracker"
+
+    [deps.ArrayInterface.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [[deps.ArrayInterfaceCore]]
 deps = ["LinearAlgebra", "SnoopPrecompile", "SparseArrays", "SuiteSparse"]
@@ -50,9 +80,9 @@ version = "0.1.29"
 
 [[deps.ArrayLayouts]]
 deps = ["FillArrays", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "4aff5fa660eb95c2e0deb6bcdabe4d9a96bc4667"
+git-tree-sha1 = "e0da03c52673bc0ab5138d1381b4dbc48ea343b9"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "0.8.18"
+version = "1.0.12"
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
@@ -63,16 +93,30 @@ uuid = "15f4f7f2-30c1-5605-9d31-71845cf9641f"
 version = "0.2.0"
 
 [[deps.BandedMatrices]]
-deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "SnoopPrecompile", "SparseArrays"]
-git-tree-sha1 = "ee75410471c18f40d57eb53840bc705a74566f23"
+deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "PrecompileTools", "SparseArrays"]
+git-tree-sha1 = "206e78eb10c9aaee4e73962b1cbd0ecf688d4b49"
 uuid = "aae01518-5342-5314-be14-df237901396f"
-version = "0.17.16"
+version = "0.17.30"
 
 [[deps.BangBang]]
-deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"]
-git-tree-sha1 = "7fe6d92c4f281cf4ca6f2fba0ce7b299742da7ca"
+deps = ["Compat", "ConstructionBase", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables"]
+git-tree-sha1 = "e28912ce94077686443433c2800104b061a827ed"
 uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
-version = "0.3.37"
+version = "0.3.39"
+
+    [deps.BangBang.extensions]
+    BangBangChainRulesCoreExt = "ChainRulesCore"
+    BangBangDataFramesExt = "DataFrames"
+    BangBangStaticArraysExt = "StaticArrays"
+    BangBangStructArraysExt = "StructArrays"
+    BangBangTypedTablesExt = "TypedTables"
+
+    [deps.BangBang.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
+    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    TypedTables = "9d95f2ec-7b3d-5a63-8d20-e2491e220bb9"
 
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
@@ -122,10 +166,22 @@ uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
 version = "0.4.2"
 
 [[deps.CPUSummary]]
-deps = ["CpuId", "IfElse", "Static"]
-git-tree-sha1 = "2c144ddb46b552f72d7eafe7cc2f50746e41ea21"
+deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
+git-tree-sha1 = "89e0654ed8c7aebad6d5ad235d6242c2d737a928"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
-version = "0.2.2"
+version = "0.2.3"
+
+[[deps.CRlibm]]
+deps = ["CRlibm_jll"]
+git-tree-sha1 = "32abd86e3c2025db5172aa182b982debed519834"
+uuid = "96374032-68de-5a5b-8d9e-752f78720389"
+version = "1.0.1"
+
+[[deps.CRlibm_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc"
+uuid = "4e9b3aee-d8a1-5a3d-ad8b-7d824db253f0"
+version = "1.0.1+0"
 
 [[deps.CSTParser]]
 deps = ["Tokenize"]
@@ -153,15 +209,9 @@ version = "12.3.2"
 
 [[deps.ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "c6d890a52d2c4d55d326439580c3b8d0875a77d9"
+git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.15.7"
-
-[[deps.ChangesOfVariables]]
-deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
-git-tree-sha1 = "485193efd2176b88e6622a39a246f8c5b600e74e"
-uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
-version = "0.1.6"
+version = "1.16.0"
 
 [[deps.CloseOpenIntervals]]
 deps = ["Static", "StaticArrayInterface"]
@@ -169,17 +219,23 @@ git-tree-sha1 = "70232f82ffaab9dc52585e0dd043b5e0c6b714f1"
 uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
 version = "0.1.12"
 
+[[deps.CodecBzip2]]
+deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
+git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
+uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
+version = "0.7.2"
+
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83"
+git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.1"
+version = "0.7.2"
 
 [[deps.ColorSchemes]]
-deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random", "SnoopPrecompile"]
-git-tree-sha1 = "aa3edc8f8dea6cbfa176ee12f7c2fc82f0608ed3"
+deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
+git-tree-sha1 = "be6ab11021cd29f0344d5c4357b163af05a48cba"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.20.0"
+version = "3.21.0"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -205,15 +261,15 @@ uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
 version = "1.0.2"
 
 [[deps.CommonMark]]
-deps = ["Crayons", "JSON", "SnoopPrecompile", "URIs"]
-git-tree-sha1 = "e2f4627b0d3f2c1876360e0b242a7c23923b469d"
+deps = ["Crayons", "JSON", "PrecompileTools", "URIs"]
+git-tree-sha1 = "532c4185d3c9037c0237546d817858b23cf9e071"
 uuid = "a80b9123-70ca-4bc0-993e-6e3bcb318db6"
-version = "0.8.10"
+version = "0.8.12"
 
 [[deps.CommonSolve]]
-git-tree-sha1 = "9441451ee712d1aec22edad62db1a9af3dc8d852"
+git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
 uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
-version = "0.2.3"
+version = "0.2.4"
 
 [[deps.CommonSubexpressions]]
 deps = ["MacroTools", "Test"]
@@ -222,15 +278,19 @@ uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
 version = "0.3.0"
 
 [[deps.Compat]]
-deps = ["Dates", "LinearAlgebra", "UUIDs"]
-git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957"
+deps = ["UUIDs"]
+git-tree-sha1 = "4e88377ae7ebeaf29a047aa1ee40826e0b708a5d"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.6.1"
+version = "4.7.0"
+weakdeps = ["Dates", "LinearAlgebra"]
+
+    [deps.Compat.extensions]
+    CompatLinearAlgebraExt = "LinearAlgebra"
 
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.0.1+0"
+version = "1.0.5+0"
 
 [[deps.CompositeTypes]]
 git-tree-sha1 = "02d2316b7ffceff992f3096ae48c7829a8aa0638"
@@ -238,21 +298,38 @@ uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
 version = "0.1.3"
 
 [[deps.CompositionsBase]]
-git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769"
+git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
 uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
-version = "0.1.1"
+version = "0.1.2"
+
+    [deps.CompositionsBase.extensions]
+    CompositionsBaseInverseFunctionsExt = "InverseFunctions"
+
+    [deps.CompositionsBase.weakdeps]
+    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
+
+[[deps.ConcurrentUtilities]]
+deps = ["Serialization", "Sockets"]
+git-tree-sha1 = "5372dbbf8f0bdb8c700db5367132925c0771ef7e"
+uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
+version = "2.2.1"
 
 [[deps.Conda]]
 deps = ["Downloads", "JSON", "VersionParsing"]
-git-tree-sha1 = "e32a90da027ca45d84678b826fffd3110bb3fc90"
+git-tree-sha1 = "915ebe6f0e7302693bdd8eac985797dba1d25662"
 uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
-version = "1.8.0"
+version = "1.9.0"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "89a9db8d28102b094992472d333674bd1a83ce2a"
+git-tree-sha1 = "fe2838a593b5f776e1597e086dcd47560d94e816"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.1"
+version = "1.5.3"
+weakdeps = ["IntervalSets", "StaticArrays"]
+
+    [deps.ConstructionBase.extensions]
+    ConstructionBaseIntervalSetsExt = "IntervalSets"
+    ConstructionBaseStaticArraysExt = "StaticArrays"
 
 [[deps.Contour]]
 git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781"
@@ -271,21 +348,21 @@ uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
 version = "4.1.1"
 
 [[deps.DataAPI]]
-git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630"
+git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.14.0"
+version = "1.15.0"
 
 [[deps.DataFrames]]
-deps = ["Compat", "DataAPI", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SentinelArrays", "SnoopPrecompile", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
-git-tree-sha1 = "aa51303df86f8626a962fccb878430cdb0a97eee"
+deps = ["Compat", "DataAPI", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrecompileTools", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SentinelArrays", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
+git-tree-sha1 = "089d29c0fc00a190661517e4f3cba5dcb3fd0c08"
 uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
-version = "1.5.0"
+version = "1.6.0"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
+git-tree-sha1 = "cf25ccb972fec4e4817764d01c82386ae94f77b4"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.13"
+version = "0.18.14"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -302,38 +379,62 @@ uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
 version = "0.1.2"
 
 [[deps.DelayDiffEq]]
-deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "UnPack"]
-git-tree-sha1 = "dde3fa2cfc91fb5d39ba2a7dc7e4383e0a6665b3"
+deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SimpleUnPack"]
+git-tree-sha1 = "89f3fbfe78f9d116d1ed0721d65b0b2cf9b36169"
 uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
-version = "5.41.0"
+version = "5.42.0"
 
 [[deps.DelimitedFiles]]
 deps = ["Mmap"]
+git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
 uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
-
-[[deps.DensityInterface]]
-deps = ["InverseFunctions", "Test"]
-git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
-uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
-version = "0.4.0"
+version = "1.9.1"
 
 [[deps.DiffEqBase]]
-deps = ["ArrayInterface", "ChainRulesCore", "DataStructures", "Distributions", "DocStringExtensions", "EnumX", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces", "ZygoteRules"]
-git-tree-sha1 = "a057a5fe2a6a05f28ef1092d5974a0c2986be23c"
+deps = ["ArrayInterface", "ChainRulesCore", "DataStructures", "DocStringExtensions", "EnumX", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces", "ZygoteRules"]
+git-tree-sha1 = "62c41421bd0facc43dfe4e9776135fe21fd1e1b9"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.121.1"
+version = "6.126.0"
+
+    [deps.DiffEqBase.extensions]
+    DiffEqBaseDistributionsExt = "Distributions"
+    DiffEqBaseGeneralizedGeneratedExt = "GeneralizedGenerated"
+    DiffEqBaseMPIExt = "MPI"
+    DiffEqBaseMeasurementsExt = "Measurements"
+    DiffEqBaseMonteCarloMeasurementsExt = "MonteCarloMeasurements"
+    DiffEqBaseReverseDiffExt = "ReverseDiff"
+    DiffEqBaseTrackerExt = "Tracker"
+    DiffEqBaseUnitfulExt = "Unitful"
+    DiffEqBaseZygoteExt = "Zygote"
+
+    [deps.DiffEqBase.weakdeps]
+    Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
+    GeneralizedGenerated = "6b9d7cbe-bcb9-11e9-073f-15a7a543e2eb"
+    MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.DiffEqCallbacks]]
 deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "Markdown", "NLsolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "b497f63a13fe37e03ed7ac72d71b72aad17b46c4"
+git-tree-sha1 = "63b6be7b396ad395825f3cc48c56b53bfaf7e69d"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "2.26.0"
+version = "2.26.1"
 
 [[deps.DiffEqNoiseProcess]]
-deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "Requires", "ResettableStacks", "SciMLBase", "StaticArrays", "Statistics"]
-git-tree-sha1 = "2c4ed3eedb87579bfe9f20ecc2440de06b9f3b89"
+deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "Requires", "ResettableStacks", "SciMLBase", "StaticArraysCore", "Statistics"]
+git-tree-sha1 = "26594c6ec8416fb6ef3ed8828fd29c98b10bfaad"
 uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
-version = "5.16.0"
+version = "5.17.2"
+
+    [deps.DiffEqNoiseProcess.extensions]
+    DiffEqNoiseProcessReverseDiffExt = "ReverseDiff"
+
+    [deps.DiffEqNoiseProcess.weakdeps]
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
 
 [[deps.DiffResults]]
 deps = ["StaticArraysCore"]
@@ -343,31 +444,39 @@ version = "1.1.0"
 
 [[deps.DiffRules]]
 deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
-git-tree-sha1 = "a4ad7ef19d2cdc2eff57abbbe68032b1cd0bd8f8"
+git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
-version = "1.13.0"
+version = "1.15.1"
 
 [[deps.DifferentialEquations]]
 deps = ["BoundaryValueDiffEq", "DelayDiffEq", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "JumpProcesses", "LinearAlgebra", "LinearSolve", "NonlinearSolve", "OrdinaryDiffEq", "Random", "RecursiveArrayTools", "Reexport", "SciMLBase", "SteadyStateDiffEq", "StochasticDiffEq", "Sundials"]
-git-tree-sha1 = "ac145e3d718157c679fc4febf2fcef73ec77b067"
+git-tree-sha1 = "1cfe0178410e1bb4b14058c537d0f347eb9d95dc"
 uuid = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
-version = "7.7.0"
+version = "7.8.0"
 
 [[deps.Distances]]
 deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04"
+git-tree-sha1 = "49eba9ad9f7ead780bfb7ee319f962c811c6d3b2"
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
-version = "0.10.7"
+version = "0.10.8"
 
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
-deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "da9e1a9058f8d3eec3a8c9fe4faacfb89180066b"
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
+git-tree-sha1 = "e76a3281de2719d7c81ed62c6ea7057380c87b1d"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.86"
+version = "0.25.98"
+
+    [deps.Distributions.extensions]
+    DistributionsChainRulesCoreExt = "ChainRulesCore"
+    DistributionsDensityInterfaceExt = "DensityInterface"
+
+    [deps.Distributions.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -375,6 +484,12 @@ git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
 uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 version = "0.9.3"
 
+[[deps.Documenter]]
+deps = ["ANSIColoredPrinters", "Base64", "Dates", "DocStringExtensions", "IOCapture", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Markdown", "REPL", "Test", "Unicode"]
+git-tree-sha1 = "39fd748a73dce4c05a9655475e437170d8fb1b67"
+uuid = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
+version = "0.27.25"
+
 [[deps.DomainSets]]
 deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays", "Statistics"]
 git-tree-sha1 = "988e2db482abeb69efc76ae8b6eba2e93805ee70"
@@ -403,11 +518,22 @@ git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
 uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
+[[deps.ErrorfreeArithmetic]]
+git-tree-sha1 = "d6863c556f1142a061532e79f611aa46be201686"
+uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a"
+version = "0.5.2"
+
+[[deps.ExceptionUnwrapping]]
+deps = ["Test"]
+git-tree-sha1 = "e90caa41f5a86296e014e148ee061bd6c3edec96"
+uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
+version = "0.1.9"
+
 [[deps.Expat_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
-version = "2.4.8+0"
+version = "2.5.0+0"
 
 [[deps.ExponentialUtilities]]
 deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "Printf", "SnoopPrecompile", "SparseArrays", "libblastrampoline_jll"]
@@ -416,9 +542,9 @@ uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
 version = "1.24.0"
 
 [[deps.ExprTools]]
-git-tree-sha1 = "56559bbef6ca5ea0c0818fa5c90320398a6fbf8d"
+git-tree-sha1 = "c1d06d129da9f55715c6c212866f5b1bddc5fa00"
 uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
-version = "0.1.8"
+version = "0.1.9"
 
 [[deps.FFMPEG]]
 deps = ["FFMPEG_jll"]
@@ -445,24 +571,46 @@ version = "0.3.2"
 
 [[deps.FastLapackInterface]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "c1293a93193f0ae94be7cf338d33e162c39d8788"
+git-tree-sha1 = "b12f05108e405dadcc2aff0008db7f831374e051"
 uuid = "29a986be-02c6-4525-aec4-84b980013641"
-version = "1.2.9"
+version = "2.0.0"
+
+[[deps.FastRounding]]
+deps = ["ErrorfreeArithmetic", "LinearAlgebra"]
+git-tree-sha1 = "6344aa18f654196be82e62816935225b3b9abe44"
+uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f"
+version = "0.3.1"
+
+[[deps.FileIO]]
+deps = ["Pkg", "Requires", "UUIDs"]
+git-tree-sha1 = "299dc33549f68299137e51e6d49a13b5b1da9673"
+uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+version = "1.16.1"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "d3ba08ab64bdfd27234d3f61956c966266757fe6"
+git-tree-sha1 = "192cee6de045c39e26f4ce4b7e0f00a9dae14dd1"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "0.13.7"
+version = "1.4.1"
 
 [[deps.FiniteDiff]]
-deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays", "StaticArrays"]
-git-tree-sha1 = "ed1b56934a2f7a65035976985da71b6a65b4f2cf"
+deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "c6e4a1fbe73b31a3dea94b1da449503b8830c306"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
-version = "2.18.0"
+version = "2.21.1"
+
+    [deps.FiniteDiff.extensions]
+    FiniteDiffBandedMatricesExt = "BandedMatrices"
+    FiniteDiffBlockBandedMatricesExt = "BlockBandedMatrices"
+    FiniteDiffStaticArraysExt = "StaticArrays"
+
+    [deps.FiniteDiff.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
 [[deps.FixedPointNumbers]]
 deps = ["Statistics"]
@@ -470,6 +618,12 @@ git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
 uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
 version = "0.8.4"
 
+[[deps.FlameGraphs]]
+deps = ["AbstractTrees", "Colors", "FileIO", "FixedPointNumbers", "IndirectArrays", "LeftChildRightSiblingTrees", "Profile"]
+git-tree-sha1 = "d9eee53657f6a13ee51120337f98684c9c702264"
+uuid = "08572546-2f56-4bcf-ba4e-bab62c3a3f89"
+version = "0.2.10"
+
 [[deps.Fontconfig_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
 git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
@@ -483,16 +637,20 @@ uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
 version = "0.4.2"
 
 [[deps.ForwardDiff]]
-deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
 git-tree-sha1 = "00e252f4d706b3d55a8863432e742bf5717b498d"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
 version = "0.10.35"
+weakdeps = ["StaticArrays"]
+
+    [deps.ForwardDiff.extensions]
+    ForwardDiffStaticArraysExt = "StaticArrays"
 
 [[deps.FreeType2_jll]]
-deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
+deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "d8db6a5a2fe1381c1ea4ef2cab7c69c2de7f9ea0"
 uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
-version = "2.10.4+0"
+version = "2.13.1+0"
 
 [[deps.FriBidi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -521,23 +679,40 @@ git-tree-sha1 = "d972031d28c8c8d9d7b41a536ad7bb0c2579caca"
 uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
 version = "3.3.8+0"
 
+[[deps.GLPK]]
+deps = ["GLPK_jll", "MathOptInterface"]
+git-tree-sha1 = "b3e1aef8eddc38ce6f27d6166a5c8ba565463a7b"
+uuid = "60bf3e95-4087-53dc-ae20-288a0d20c6a6"
+version = "1.1.2"
+
+[[deps.GLPK_jll]]
+deps = ["Artifacts", "GMP_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "fe68622f32828aa92275895fdb324a85894a5b1b"
+uuid = "e8aa6df9-e6ca-548a-97ff-1f85fc5b8b98"
+version = "5.0.1+0"
+
+[[deps.GMP_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "781609d7-10c4-51f6-84f2-b8444358ff6d"
+version = "6.2.1+2"
+
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
-git-tree-sha1 = "1cd7f0af1aa58abc02ea1d872953a97359cb87fa"
+git-tree-sha1 = "2d6ca471a6c7b536127afccfa7564b5b39227fe0"
 uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
-version = "0.1.4"
+version = "0.1.5"
 
 [[deps.GR]]
 deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"]
-git-tree-sha1 = "660b2ea2ec2b010bb02823c6d0ff6afd9bdc5c16"
+git-tree-sha1 = "8e2d86e06ceb4580110d9e716be26658effc5bfd"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.71.7"
+version = "0.72.8"
 
 [[deps.GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "d5e1fd17ac7f3aa4c5287a61ee28d4f8b8e98873"
+git-tree-sha1 = "da121cbdc95b065da07fbb93638367737969693f"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.71.7+0"
+version = "0.72.8+0"
 
 [[deps.GenericSchur]]
 deps = ["LinearAlgebra", "Printf"]
@@ -570,9 +745,9 @@ uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
 version = "2.74.0+2"
 
 [[deps.Glob]]
-git-tree-sha1 = "4df9f7e06108728ebf00a0a11edee4b29a482bb2"
+git-tree-sha1 = "97285bbd5230dd766e9ef6749b80fc617126d496"
 uuid = "c27321d9-0574-5035-807b-f59d2c89b15c"
-version = "1.3.0"
+version = "1.3.1"
 
 [[deps.Graphite2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -604,10 +779,10 @@ uuid = "d5909c97-4eac-4ecc-a3dc-fdd0858a4120"
 version = "0.4.0"
 
 [[deps.HTTP]]
-deps = ["Base64", "CodecZlib", "Dates", "IniFile", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "37e4657cd56b11abe3d10cd4a1ec5fbdb4180263"
+deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
+git-tree-sha1 = "cb56ccdd481c0dd7f975ad2b3b62d9eda088f7e2"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "1.7.4"
+version = "1.9.14"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
@@ -623,37 +798,43 @@ version = "0.5.2"
 
 [[deps.HostCPUFeatures]]
 deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
-git-tree-sha1 = "734fd90dd2f920a2f1921d5388dcebe805b262dc"
+git-tree-sha1 = "d38bd0d9759e3c6cfa19bdccc314eccf8ce596cc"
 uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
-version = "0.1.14"
+version = "0.1.15"
 
 [[deps.HypergeometricFunctions]]
-deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions", "Test"]
-git-tree-sha1 = "709d864e3ed6e3545230601f94e11ebc65994641"
+deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
+git-tree-sha1 = "83e95aaab9dc184a6dcd9c4c52aa0dc26cd14a1d"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.11"
+version = "0.3.21"
 
 [[deps.IJulia]]
 deps = ["Base64", "Conda", "Dates", "InteractiveUtils", "JSON", "Libdl", "Logging", "Markdown", "MbedTLS", "Pkg", "Printf", "REPL", "Random", "SoftGlobalScope", "Test", "UUIDs", "ZMQ"]
-git-tree-sha1 = "59e19713542dd9dd02f31d59edbada69530d6a14"
+git-tree-sha1 = "47ac8cc196b81001a711f4b2c12c97372338f00c"
 uuid = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
-version = "1.24.0"
+version = "1.24.2"
+
+[[deps.IOCapture]]
+deps = ["Logging", "Random"]
+git-tree-sha1 = "d75853a0bdbfb1ac815478bacd89cd27b550ace6"
+uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
+version = "0.2.3"
 
 [[deps.IfElse]]
 git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
 uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
 version = "0.1.1"
 
+[[deps.IndirectArrays]]
+git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f"
+uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
+version = "1.0.0"
+
 [[deps.Inflate]]
 git-tree-sha1 = "5cd07aab533df5170988219191dfad0519391428"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
 version = "0.1.3"
 
-[[deps.IniFile]]
-git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625"
-uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
-version = "0.5.1"
-
 [[deps.InitialValues]]
 git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
 uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
@@ -666,42 +847,36 @@ uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
 version = "1.4.0"
 
 [[deps.IntegerMathUtils]]
-git-tree-sha1 = "f366daebdfb079fd1fe4e3d560f99a0c892e15bc"
+git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
 uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
-version = "0.1.0"
+version = "0.1.2"
 
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[deps.IntervalArithmetic]]
+deps = ["CRlibm", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
+git-tree-sha1 = "5ab7744289be503d76a944784bac3f2df7b809af"
+uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
+version = "0.20.9"
+
 [[deps.IntervalSets]]
 deps = ["Dates", "Random", "Statistics"]
 git-tree-sha1 = "3f91cd3f56ea48d4d2a75c2a65455c5fc74fa347"
 uuid = "8197267c-284f-5f27-9208-e0e47529a953"
 version = "0.7.3"
 
-[[deps.InverseFunctions]]
-deps = ["Test"]
-git-tree-sha1 = "49510dfcb407e572524ba94aeae2fced1f3feb0f"
-uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
-version = "0.1.8"
-
 [[deps.InvertedIndices]]
-git-tree-sha1 = "82aec7a3dd64f4d9584659dc0b62ef7db2ef3e19"
+git-tree-sha1 = "0dc7b50b8d436461be01300fd8cd45aa0274b038"
 uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
-version = "1.2.0"
+version = "1.3.0"
 
 [[deps.IrrationalConstants]]
 git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
 version = "0.2.2"
 
-[[deps.IterativeSolvers]]
-deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
-git-tree-sha1 = "1169632f425f79429f245113b775a0e3d121457c"
-uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
-version = "0.9.2"
-
 [[deps.IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
 uuid = "82899510-4779-5014-852e-03e436cf321d"
@@ -721,9 +896,9 @@ version = "1.4.1"
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
-git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
+git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
-version = "0.21.3"
+version = "0.21.4"
 
 [[deps.JpegTurbo_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -731,11 +906,17 @@ git-tree-sha1 = "6f2675ef130a300a112286de91973805fcc5ffbc"
 uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
 version = "2.1.91+0"
 
+[[deps.JuMP]]
+deps = ["LinearAlgebra", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "Printf", "SnoopPrecompile", "SparseArrays"]
+git-tree-sha1 = "b0ded4f36829f7cfd4400b11289faf9b4f0b795a"
+uuid = "4076af6c-e467-56ae-b986-b466b2749572"
+version = "1.12.0"
+
 [[deps.JuliaFormatter]]
-deps = ["CSTParser", "CommonMark", "DataStructures", "Glob", "Pkg", "SnoopPrecompile", "Tokenize"]
-git-tree-sha1 = "04c4f16ef537e7b5fe0998e507cfeedc5b95b01d"
+deps = ["CSTParser", "CommonMark", "DataStructures", "Glob", "Pkg", "PrecompileTools", "Tokenize"]
+git-tree-sha1 = "60567b51bd9e1e19ae2fd8a54dcd6bc5994727f0"
 uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
-version = "1.0.24"
+version = "1.0.34"
 
 [[deps.JumpProblemLibrary]]
 deps = ["Catalyst", "DiffEqBase", "RuntimeGeneratedFunctions"]
@@ -745,9 +926,9 @@ version = "0.1.3"
 
 [[deps.JumpProcesses]]
 deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "TreeViews", "UnPack"]
-git-tree-sha1 = "7af8d30e281ce558807917b69ba16575d05f412b"
+git-tree-sha1 = "6f1e0f4364022ea2cd9e324cc9b851bc5434d41c"
 uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
-version = "9.5.1"
+version = "9.7.0"
 
 [[deps.KLU]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
@@ -757,15 +938,9 @@ version = "0.4.0"
 
 [[deps.Krylov]]
 deps = ["LinearAlgebra", "Printf", "SparseArrays"]
-git-tree-sha1 = "dd90aacbfb622f898a97c2a4411ac49101ebab8a"
+git-tree-sha1 = "6dc4ad9cd74ad4ca0a8e219e945dbd22039f2125"
 uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
-version = "0.9.0"
-
-[[deps.KrylovKit]]
-deps = ["ChainRulesCore", "GPUArraysCore", "LinearAlgebra", "Printf"]
-git-tree-sha1 = "1a5e1d9941c783b0119897d29f2eb665d876ecf3"
-uuid = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
-version = "0.6.0"
+version = "0.9.2"
 
 [[deps.LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -779,17 +954,23 @@ git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
 uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
 version = "3.0.0+1"
 
+[[deps.LLVMOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "f689897ccbe049adb19a065c495e75f372ecd42b"
+uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
+version = "15.0.4+0"
+
 [[deps.LSODA]]
 deps = ["Compat", "DiffEqBase", "LSODA_jll", "LinearAlgebra", "Parameters", "Printf", "SciMLBase"]
-git-tree-sha1 = "4114813bdff2041da3f2e403385b8b2ccf570ee3"
+git-tree-sha1 = "96a6ff0be7ebda67e35af1e6937a68141dd59e70"
 uuid = "7f56f5a3-f504-529b-bc02-0b1fe5e64312"
-version = "0.7.3"
+version = "0.7.4"
 
 [[deps.LSODA_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "3a19962a454cf319151cee31219dd5eb3434a37d"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "3c5277e990a9026f31a35ca6c4acddc8a706a38c"
 uuid = "aae0fff6-70f8-51e1-979a-8150c7cc74bd"
-version = "0.1.1+0"
+version = "0.1.2+0"
 
 [[deps.LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -815,9 +996,21 @@ version = "0.4.6"
 
 [[deps.Latexify]]
 deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
-git-tree-sha1 = "2422f47b34d4b127720a18f86fa7b1aa2e141f29"
+git-tree-sha1 = "8c57307b5d9bb3be1ff2da469063628631d4d51e"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.15.18"
+version = "0.15.21"
+
+    [deps.Latexify.extensions]
+    DataFramesExt = "DataFrames"
+    DiffEqBiologicalExt = "DiffEqBiological"
+    ParameterizedFunctionsExt = "DiffEqBase"
+    SymEngineExt = "SymEngine"
+
+    [deps.Latexify.weakdeps]
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
+    DiffEqBiological = "eb300fae-53e8-50a0-950c-e21f52c2b7e0"
+    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"
 
 [[deps.LayoutPointers]]
 deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"]
@@ -831,6 +1024,18 @@ git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
 uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0"
 version = "0.15.1"
 
+[[deps.LazySets]]
+deps = ["Distributed", "GLPK", "IntervalArithmetic", "JuMP", "LinearAlgebra", "Random", "ReachabilityBase", "RecipesBase", "Reexport", "Requires", "SharedArrays", "SparseArrays", "StaticArraysCore"]
+git-tree-sha1 = "d173eaf9b7e2d0003750e56357a6a3fc3b6c8b5f"
+uuid = "b4f0291d-fe17-52bc-9479-3d1a343d9043"
+version = "2.8.0"
+
+[[deps.LeftChildRightSiblingTrees]]
+deps = ["AbstractTrees"]
+git-tree-sha1 = "b864cb409e8e445688bc478ef87c0afe4f6d1f8d"
+uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
+version = "0.1.3"
+
 [[deps.LevyArea]]
 deps = ["LinearAlgebra", "Random", "SpecialFunctions"]
 git-tree-sha1 = "56513a09b8e0ae6485f34401ea9e2f31357958ec"
@@ -914,20 +1119,44 @@ uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
 version = "7.2.0"
 
 [[deps.LinearAlgebra]]
-deps = ["Libdl", "libblastrampoline_jll"]
+deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearSolve]]
-deps = ["ArrayInterface", "DocStringExtensions", "FastLapackInterface", "GPUArraysCore", "IterativeSolvers", "KLU", "Krylov", "KrylovKit", "LinearAlgebra", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SnoopPrecompile", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"]
-git-tree-sha1 = "fd65db5fff7238ba4c0b7a61de7e81748d73fa14"
+deps = ["ArrayInterface", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LinearAlgebra", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"]
+git-tree-sha1 = "1b55771f2c211583ad52af5a5ca6475be374c961"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "1.38.0"
+version = "2.4.1"
+
+    [deps.LinearSolve.extensions]
+    LinearSolveCUDAExt = "CUDA"
+    LinearSolveHYPREExt = "HYPRE"
+    LinearSolveIterativeSolversExt = "IterativeSolvers"
+    LinearSolveKrylovKitExt = "KrylovKit"
+    LinearSolvePardisoExt = "Pardiso"
+
+    [deps.LinearSolve.weakdeps]
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    HYPRE = "b5ffcf37-a2bd-41ab-a3da-4bd9bc8ad771"
+    IterativeSolvers = "42fd0dbc-a981-5370-80f2-aaf504508153"
+    KrylovKit = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
+    Pardiso = "46dd5b70-b6fb-5a00-ae2d-e8fea33afaf2"
 
 [[deps.LogExpFunctions]]
-deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "0a1b7c2863e44523180fdb3146534e265a91870b"
+deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "c3ce8e7420b3a6e071e0fe4745f5d4300e37b13f"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.23"
+version = "0.3.24"
+
+    [deps.LogExpFunctions.extensions]
+    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
+    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
+    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"
+
+    [deps.LogExpFunctions.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
 
 [[deps.Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
@@ -939,10 +1168,15 @@ uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
 version = "1.0.0"
 
 [[deps.LoopVectorization]]
-deps = ["ArrayInterface", "ArrayInterfaceCore", "CPUSummary", "ChainRulesCore", "CloseOpenIntervals", "DocStringExtensions", "ForwardDiff", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "SIMDTypes", "SLEEFPirates", "SnoopPrecompile", "SpecialFunctions", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
-git-tree-sha1 = "2acf6874142d05d5d1ad49e8d3786b8cd800936d"
+deps = ["ArrayInterface", "ArrayInterfaceCore", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
+git-tree-sha1 = "24e6c5697a6c93b5e10af2acf95f0b2e15303332"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
-version = "0.12.152"
+version = "0.12.163"
+weakdeps = ["ChainRulesCore", "ForwardDiff", "SpecialFunctions"]
+
+    [deps.LoopVectorization.extensions]
+    ForwardDiffExt = ["ChainRulesCore", "ForwardDiff"]
+    SpecialFunctionsExt = "SpecialFunctions"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
@@ -959,6 +1193,12 @@ version = "0.1.8"
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
+[[deps.MathOptInterface]]
+deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
+git-tree-sha1 = "5c5cd501ae1d76d3ccd7c7e6b4325a15dde7f31c"
+uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+version = "1.18.0"
+
 [[deps.MbedTLS]]
 deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
 git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b"
@@ -968,7 +1208,7 @@ version = "1.1.7"
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.0+0"
+version = "2.28.2+0"
 
 [[deps.Measures]]
 git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
@@ -983,9 +1223,9 @@ version = "1.3.5"
 
 [[deps.MicroCollections]]
 deps = ["BangBang", "InitialValues", "Setfield"]
-git-tree-sha1 = "4d5917a26ca33c66c8e5ca3247bd163624d35493"
+git-tree-sha1 = "629afd7d10dbc6935ec59b32daeb33bc4460a42e"
 uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
-version = "0.1.3"
+version = "0.1.4"
 
 [[deps.Missings]]
 deps = ["DataAPI"]
@@ -1004,7 +1244,7 @@ version = "8.46.1"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2022.2.1"
+version = "2022.10.11"
 
 [[deps.MuladdMacro]]
 git-tree-sha1 = "cac9cc5499c25554cba55cd3c30543cff5ca4fab"
@@ -1019,15 +1259,15 @@ version = "0.4.7"
 
 [[deps.Mustache]]
 deps = ["Printf", "Tables"]
-git-tree-sha1 = "1e566ae913a57d0062ff1af54d2697b9344b99cd"
+git-tree-sha1 = "821e918c170ead5298ff84bffee41dd28929a681"
 uuid = "ffc61752-8dc7-55ee-8c37-f3e9cdd09e70"
-version = "1.0.14"
+version = "1.0.17"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "3295d296288ab1a0a2528feb424b854418acff57"
+git-tree-sha1 = "964cb1a7069723727025ae295408747a0b36a854"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.2.3"
+version = "1.3.0"
 
 [[deps.NLSolversBase]]
 deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
@@ -1052,16 +1292,16 @@ uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.NonlinearSolve]]
-deps = ["ArrayInterface", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "UnPack"]
-git-tree-sha1 = "3f856788ba532419c07ba2e0dc37b06e5d784992"
+deps = ["ArrayInterface", "DiffEqBase", "EnumX", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "PrecompileTools", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "UnPack"]
+git-tree-sha1 = "2a7f28c62eb2c16b9c375c38f664cdcf22313cf5"
 uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
-version = "1.5.0"
+version = "1.8.0"
 
 [[deps.OffsetArrays]]
 deps = ["Adapt"]
-git-tree-sha1 = "82d7c9e310fe55aa54996e6f7f94674e2a38fcb4"
+git-tree-sha1 = "2ac17d29c523ce1cd38e27785a7d23024853a4bb"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.12.9"
+version = "1.12.10"
 
 [[deps.Ogg_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1072,7 +1312,7 @@ version = "1.3.5+1"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.20+0"
+version = "0.3.21+4"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1081,15 +1321,15 @@ version = "0.8.1+0"
 
 [[deps.OpenSSL]]
 deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
-git-tree-sha1 = "6503b77492fd7fcb9379bf73cd31035670e3c509"
+git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2"
 uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
-version = "1.3.3"
+version = "1.4.1"
 
 [[deps.OpenSSL_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "9ff31d101d987eb9d66bd8b176ac7c277beccd09"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1aa4b74f80b01c6bc2b89992b861b5f210e665b5"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "1.1.20+0"
+version = "1.1.21+0"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -1099,9 +1339,9 @@ version = "0.5.5+0"
 
 [[deps.Optim]]
 deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
-git-tree-sha1 = "1903afc76b7d01719d9c30d3c7d501b61db96721"
+git-tree-sha1 = "e3a6546c1577bfd701771b477b794a52949e7594"
 uuid = "429524aa-4258-5aef-a3af-852621145aeb"
-version = "1.7.4"
+version = "1.7.6"
 
 [[deps.Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1110,20 +1350,20 @@ uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.2+0"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+git-tree-sha1 = "d321bf2de576bf25ec4d3e4360faca399afca282"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.4.1"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEq]]
-deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "IfElse", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "NonlinearSolve", "Polyester", "PreallocationTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLNLSolve", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces", "UnPack"]
-git-tree-sha1 = "d875f5fa389e8a35fb2ae8f39326cc97815d1075"
+deps = ["ADTypes", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "IfElse", "InteractiveUtils", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "NonlinearSolve", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLNLSolve", "SciMLOperators", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"]
+git-tree-sha1 = "4f1ab68f236fa846d0c30718c6b29c1665b019c0"
 uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
-version = "6.49.0"
+version = "6.53.3"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
-version = "10.40.0+0"
+version = "10.42.0+0"
 
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
@@ -1138,10 +1378,10 @@ uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
 version = "0.12.3"
 
 [[deps.Parsers]]
-deps = ["Dates", "SnoopPrecompile"]
-git-tree-sha1 = "478ac6c952fddd4399e71d4779797c538d0ff2bf"
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "4b2e829ee66d4218e0cef22c0a64ee37cf258c29"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.8"
+version = "2.7.1"
 
 [[deps.PiecewiseDeterministicMarkovProcesses]]
 deps = ["DifferentialEquations", "Distributions", "ForwardDiff", "JumpProcesses", "LSODA", "LinearAlgebra", "Parameters", "PreallocationTools", "Random", "RecursiveArrayTools", "SciMLBase", "SparseArrays", "StatsBase", "Sundials", "Test"]
@@ -1155,15 +1395,15 @@ uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
 version = "1.3.0"
 
 [[deps.Pixman_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
+git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87"
 uuid = "30392449-352a-5448-841d-b1acce4e97dc"
-version = "0.40.1+0"
+version = "0.42.2+0"
 
 [[deps.Pkg]]
-deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.8.0"
+version = "1.9.2"
 
 [[deps.PlotThemes]]
 deps = ["PlotUtils", "Statistics"]
@@ -1172,22 +1412,36 @@ uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
 version = "3.1.0"
 
 [[deps.PlotUtils]]
-deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "SnoopPrecompile", "Statistics"]
-git-tree-sha1 = "c95373e73290cf50a8a22c3375e4625ded5c5280"
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.3.4"
+version = "1.3.5"
 
 [[deps.Plots]]
-deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SnoopPrecompile", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
-git-tree-sha1 = "da1d3fb7183e38603fcdd2061c47979d91202c97"
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
+git-tree-sha1 = "75ca67b2c6512ad2d0c767a7cfc55e75075f8bbc"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.38.6"
+version = "1.38.16"
+
+    [deps.Plots.extensions]
+    FileIOExt = "FileIO"
+    GeometryBasicsExt = "GeometryBasics"
+    IJuliaExt = "IJulia"
+    ImageInTerminalExt = "ImageInTerminal"
+    UnitfulExt = "Unitful"
+
+    [deps.Plots.weakdeps]
+    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
+    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
+    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
+    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.PoissonRandom]]
 deps = ["Random"]
-git-tree-sha1 = "45f9da1ceee5078267eb273d065e8aa2f2515790"
+git-tree-sha1 = "a0f1159c33f846aa77c3f30ebbc69795e5327152"
 uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
-version = "0.4.3"
+version = "0.4.4"
 
 [[deps.Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
@@ -1219,23 +1473,35 @@ git-tree-sha1 = "f739b1b3cc7b9949af3b35089931f2b58c289163"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
 version = "0.4.12"
 
+    [deps.PreallocationTools.extensions]
+    PreallocationToolsReverseDiffExt = "ReverseDiff"
+
+    [deps.PreallocationTools.weakdeps]
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+
+[[deps.PrecompileTools]]
+deps = ["Preferences"]
+git-tree-sha1 = "9673d39decc5feece56ef3940e5dafba15ba0f81"
+uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
+version = "1.1.2"
+
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
+git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.3.0"
+version = "1.4.0"
 
 [[deps.PrettyTables]]
 deps = ["Crayons", "Formatting", "LaTeXStrings", "Markdown", "Reexport", "StringManipulation", "Tables"]
-git-tree-sha1 = "96f6db03ab535bdb901300f88335257b0018689d"
+git-tree-sha1 = "331cc8048cba270591eab381e7aa3e2e3fef7f5e"
 uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
-version = "2.2.2"
+version = "2.2.5"
 
 [[deps.Primes]]
 deps = ["IntegerMathUtils"]
-git-tree-sha1 = "311a2aa90a64076ea0fac2ad7492e914e6feeb81"
+git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489"
 uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
-version = "0.5.3"
+version = "0.5.4"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1245,11 +1511,23 @@ uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 deps = ["Printf"]
 uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
 
+[[deps.ProfileSVG]]
+deps = ["Colors", "FlameGraphs", "Profile", "UUIDs"]
+git-tree-sha1 = "e4df82a5dadc26736f106f8d7fc97c42cc6c91ae"
+uuid = "132c30aa-f267-4189-9183-c8a63c7e05e6"
+version = "0.2.1"
+
+[[deps.ProgressMeter]]
+deps = ["Distributed", "Printf"]
+git-tree-sha1 = "d7a7aef8f8f2d537104f170139553b14dfe39fe9"
+uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
+version = "1.7.2"
+
 [[deps.PyCall]]
 deps = ["Conda", "Dates", "Libdl", "LinearAlgebra", "MacroTools", "Serialization", "VersionParsing"]
-git-tree-sha1 = "62f417f6ad727987c755549e9cd88c46578da562"
+git-tree-sha1 = "43d304ac6f0354755f1d60730ece8c499980f7ba"
 uuid = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
-version = "1.95.1"
+version = "1.96.1"
 
 [[deps.Qt5Base_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"]
@@ -1259,9 +1537,9 @@ version = "5.15.3+2"
 
 [[deps.QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
-git-tree-sha1 = "786efa36b7eff813723c4849c90456609cf06661"
+git-tree-sha1 = "6ec7ac8412e83d57e313393220879ede1740f9ee"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
-version = "2.8.1"
+version = "2.8.2"
 
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -1273,9 +1551,9 @@ uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[deps.Random123]]
 deps = ["Random", "RandomNumbers"]
-git-tree-sha1 = "7a1a306b72cfa60634f03a911405f4e64d1b718b"
+git-tree-sha1 = "552f30e847641591ba3f39fd1bed559b9deb0ef3"
 uuid = "74087812-796a-5b5d-8853-05524746bad3"
-version = "1.6.0"
+version = "1.6.1"
 
 [[deps.RandomExtensions]]
 deps = ["Random", "SparseArrays"]
@@ -1289,23 +1567,39 @@ git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
 uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
 version = "1.5.3"
 
+[[deps.ReachabilityBase]]
+deps = ["ExprTools", "InteractiveUtils", "LinearAlgebra", "Random", "Requires", "SparseArrays"]
+git-tree-sha1 = "65dd3407e52228aa5c6ae29d4998961043e131a4"
+uuid = "379f33d0-9447-4353-bd03-d664070e549f"
+version = "0.1.7"
+
 [[deps.RecipesBase]]
-deps = ["SnoopPrecompile"]
-git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8"
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
-version = "1.3.3"
+version = "1.3.4"
 
 [[deps.RecipesPipeline]]
-deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase", "SnoopPrecompile"]
-git-tree-sha1 = "e974477be88cb5e3040009f3767611bc6357846f"
+deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
+git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
 uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
-version = "0.6.11"
+version = "0.6.12"
 
 [[deps.RecursiveArrayTools]]
-deps = ["Adapt", "ArrayInterface", "ChainRulesCore", "DocStringExtensions", "FillArrays", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "ZygoteRules"]
-git-tree-sha1 = "3dcb2a98436389c0aac964428a5fa099118944de"
+deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "7ed35fb5f831aaf09c2d7c8736d44667a1afdcb0"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "2.38.0"
+version = "2.38.7"
+
+    [deps.RecursiveArrayTools.extensions]
+    RecursiveArrayToolsMeasurementsExt = "Measurements"
+    RecursiveArrayToolsTrackerExt = "Tracker"
+    RecursiveArrayToolsZygoteExt = "Zygote"
+
+    [deps.RecursiveArrayTools.weakdeps]
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.RecursiveFactorization]]
 deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "SnoopPrecompile", "StrideArraysCore", "TriangularSolve"]
@@ -1354,11 +1648,16 @@ git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
 uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
 version = "0.4.0+0"
 
+[[deps.RoundingEmulator]]
+git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b"
+uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705"
+version = "0.2.1"
+
 [[deps.RuntimeGeneratedFunctions]]
 deps = ["ExprTools", "SHA", "Serialization"]
-git-tree-sha1 = "50314d2ef65fce648975a8e80ae6d8409ebbf835"
+git-tree-sha1 = "237edc1563bbf078629b4f8d194bd334e97907cf"
 uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
-version = "0.5.5"
+version = "0.5.11"
 
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -1371,49 +1670,54 @@ version = "0.1.0"
 
 [[deps.SLEEFPirates]]
 deps = ["IfElse", "Static", "VectorizationBase"]
-git-tree-sha1 = "cda0aece8080e992f6370491b08ef3909d1c04e7"
+git-tree-sha1 = "4b8586aece42bee682399c4c4aee95446aa5cd19"
 uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
-version = "0.6.38"
+version = "0.6.39"
 
 [[deps.SciMLBase]]
-deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SnoopPrecompile", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
-git-tree-sha1 = "fdea92555855db1d86c3638f0a789d6e0a830e67"
+deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
+git-tree-sha1 = "ddf8d14762bac98d035453b33b9c5952f36c3b79"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "1.89.0"
+version = "1.93.2"
 
 [[deps.SciMLBenchmarks]]
 deps = ["Git", "IJulia", "InteractiveUtils", "Markdown", "Pkg", "Weave"]
-git-tree-sha1 = "a1d7791d68494b74fc0062cf63d8df7213dbd9dd"
+git-tree-sha1 = "f4076dd5a103010d48bb6c4e50c5526f6622fa96"
 uuid = "31c91b34-3c75-11e9-0341-95557aab0344"
-version = "0.1.1"
+version = "0.1.3"
 
 [[deps.SciMLNLSolve]]
 deps = ["DiffEqBase", "LineSearches", "NLsolve", "Reexport", "SciMLBase"]
-git-tree-sha1 = "66c7f901dbcad51791136e2d90ee67240256ecde"
+git-tree-sha1 = "9dfc8e9e3d58c0c74f1a821c762b5349da13eccf"
 uuid = "e9a6253c-8580-4d32-9898-8661bb511710"
-version = "0.1.3"
+version = "0.1.8"
 
 [[deps.SciMLOperators]]
 deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
-git-tree-sha1 = "e61e48ef909375203092a6e83508c8416df55a83"
+git-tree-sha1 = "b1fe33c9984c6789b58419e62e7a2b92f9aa813e"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.2.0"
+version = "0.3.3"
 
 [[deps.Scratch]]
 deps = ["Dates"]
-git-tree-sha1 = "f94f779c94e58bf9ea243e77a37e16d9de9126bd"
+git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a"
 uuid = "6c6a2e73-6563-6170-7368-637461726353"
-version = "1.1.1"
+version = "1.2.0"
 
 [[deps.SentinelArrays]]
 deps = ["Dates", "Random"]
-git-tree-sha1 = "77d3c4726515dca71f6d80fbb5e251088defe305"
+git-tree-sha1 = "04bdff0b09c65ff3e06a05e3eb7b120223da3d39"
 uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
-version = "1.3.18"
+version = "1.4.0"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
+[[deps.SetRounding]]
+git-tree-sha1 = "d7a25e439d07a17b7cdf97eecee504c50fedf5f6"
+uuid = "3cc68bcd-71a2-5612-b932-767ffbe40ab0"
+version = "0.2.1"
+
 [[deps.Setfield]]
 deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
 git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
@@ -1436,10 +1740,16 @@ uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
 version = "1.1.0"
 
 [[deps.SimpleNonlinearSolve]]
-deps = ["ArrayInterface", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Reexport", "Requires", "SciMLBase", "SnoopPrecompile", "StaticArraysCore"]
-git-tree-sha1 = "326789bbaa1b65b809bd4596b74e4fc3be5af6ac"
+deps = ["ArrayInterface", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "PrecompileTools", "Reexport", "Requires", "SciMLBase", "StaticArraysCore"]
+git-tree-sha1 = "56aa73a93cdca493af5155a0338a864ed314222b"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "0.1.13"
+version = "0.1.16"
+
+    [deps.SimpleNonlinearSolve.extensions]
+    SimpleBatchedNonlinearSolveExt = "NNlib"
+
+    [deps.SimpleNonlinearSolve.weakdeps]
+    NNlib = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
 
 [[deps.SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
@@ -1447,6 +1757,11 @@ git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
 uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
 version = "0.9.4"
 
+[[deps.SimpleUnPack]]
+git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437"
+uuid = "ce78b400-467f-4804-87d8-8f486da07d0a"
+version = "1.1.0"
+
 [[deps.SnoopPrecompile]]
 deps = ["Preferences"]
 git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
@@ -1464,19 +1779,25 @@ version = "1.1.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00"
+git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.1.0"
+version = "1.1.1"
 
 [[deps.SparseArrays]]
-deps = ["LinearAlgebra", "Random"]
+deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[deps.SparseDiffTools]]
-deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays", "VertexSafeGraphs"]
-git-tree-sha1 = "e19ac47477c9a8fcca06dab5e5471417d5d9d723"
+deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "Reexport", "Requires", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "Tricks", "VertexSafeGraphs"]
+git-tree-sha1 = "4c1a57bcbc0b795fbfdc2009e70f9c2fd2815bfe"
 uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-version = "1.31.0"
+version = "2.4.1"
+
+    [deps.SparseDiffTools.extensions]
+    SparseDiffToolsZygoteExt = "Zygote"
+
+    [deps.SparseDiffTools.weakdeps]
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.Sparspak]]
 deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
@@ -1485,10 +1806,14 @@ uuid = "e56a9233-b9d6-4f03-8d0f-1825330902ac"
 version = "0.3.9"
 
 [[deps.SpecialFunctions]]
-deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
-git-tree-sha1 = "ef28127915f4229c971eb43f3fc075dd3fe91880"
+deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
+git-tree-sha1 = "7beb031cf8145577fbccacd94b8a8f4ce78428d3"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "2.2.0"
+version = "2.3.0"
+weakdeps = ["ChainRulesCore"]
+
+    [deps.SpecialFunctions.extensions]
+    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
 
 [[deps.SplittablesBase]]
 deps = ["Setfield", "Test"]
@@ -1498,36 +1823,46 @@ version = "0.1.15"
 
 [[deps.Static]]
 deps = ["IfElse"]
-git-tree-sha1 = "d0435ba43ab5ad1cbb5f0d286ca4ba67029ed3ee"
+git-tree-sha1 = "dbde6766fc677423598138a5951269432b0fcc90"
 uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
-version = "0.8.4"
+version = "0.8.7"
 
 [[deps.StaticArrayInterface]]
 deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "Static", "SuiteSparse"]
-git-tree-sha1 = "fd5f417fd7e103c121b0a0b4a6902f03991111f4"
+git-tree-sha1 = "33040351d2403b84afce74dae2e22d3f5b18edcb"
 uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
-version = "1.3.0"
+version = "1.4.0"
+weakdeps = ["OffsetArrays", "StaticArrays"]
+
+    [deps.StaticArrayInterface.extensions]
+    StaticArrayInterfaceOffsetArraysExt = "OffsetArrays"
+    StaticArrayInterfaceStaticArraysExt = "StaticArrays"
 
 [[deps.StaticArrays]]
-deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "2d7d9e1ddadc8407ffd460e24218e37ef52dd9a3"
+deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
+git-tree-sha1 = "fffc14c695c17bfdbfa92a2a01836cdc542a1e46"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.5.16"
+version = "1.6.1"
+weakdeps = ["Statistics"]
+
+    [deps.StaticArrays.extensions]
+    StaticArraysStatisticsExt = "Statistics"
 
 [[deps.StaticArraysCore]]
-git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
+git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
 uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
-version = "1.4.0"
+version = "1.4.2"
 
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+version = "1.9.0"
 
 [[deps.StatsAPI]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "f9af7f195fb13589dd2e2d57fdb401717d2eb1f6"
+git-tree-sha1 = "45a7769a04a3cf80da1c1c7c60caf932e6f4c9f7"
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
-version = "1.5.0"
+version = "1.6.0"
 
 [[deps.StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
@@ -1536,34 +1871,42 @@ uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
 version = "0.33.21"
 
 [[deps.StatsFuns]]
-deps = ["ChainRulesCore", "HypergeometricFunctions", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
 git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a"
 uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
 version = "1.3.0"
 
+    [deps.StatsFuns.extensions]
+    StatsFunsChainRulesCoreExt = "ChainRulesCore"
+    StatsFunsInverseFunctionsExt = "InverseFunctions"
+
+    [deps.StatsFuns.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
+
 [[deps.SteadyStateDiffEq]]
 deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport", "SciMLBase"]
-git-tree-sha1 = "8998e426c1d49ef92d4c60cc81acb90ddf92c610"
+git-tree-sha1 = "6e801d0da4c81d9cd6a05d97340404f9892fba85"
 uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
-version = "1.13.0"
+version = "1.16.0"
 
 [[deps.StochasticDiffEq]]
-deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "DocStringExtensions", "FillArrays", "FiniteDiff", "ForwardDiff", "JumpProcesses", "LevyArea", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
-git-tree-sha1 = "c6b4b802d4d830e0e958f5f2098d8dea0a935f4b"
+deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "DocStringExtensions", "FillArrays", "FiniteDiff", "ForwardDiff", "JumpProcesses", "LevyArea", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
+git-tree-sha1 = "ccf744171b3a83879158a4b3f3a430c1bc585123"
 uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
-version = "6.58.0"
+version = "6.61.1"
 
 [[deps.StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
-git-tree-sha1 = "2842f1dbd12d59f2728ba79f4002cd6b61808f8b"
+git-tree-sha1 = "f02eb61eb5c97b48c153861c72fbbfdddc607e06"
 uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
-version = "0.4.8"
+version = "0.4.17"
 
 [[deps.StringEncodings]]
 deps = ["Libiconv_jll"]
-git-tree-sha1 = "33c0da881af3248dafefb939a21694b97cfece76"
+git-tree-sha1 = "b765e46ba27ecf6b44faf70df40c57aa3a547dcb"
 uuid = "69024149-9ee7-55f6-a4c4-859efe599b68"
-version = "0.3.6"
+version = "0.3.7"
 
 [[deps.StringManipulation]]
 git-tree-sha1 = "46da2434b41f41ac3594ee9816ce5541c6096123"
@@ -1577,13 +1920,13 @@ uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 [[deps.SuiteSparse_jll]]
 deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
-version = "5.10.1+0"
+version = "5.10.1+6"
 
 [[deps.Sundials]]
-deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SciMLBase", "SnoopPrecompile", "SparseArrays", "Sundials_jll"]
-git-tree-sha1 = "c033830e3c6fb4260243fc907b1e7e93421e7ae8"
+deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "PrecompileTools", "Reexport", "SciMLBase", "SparseArrays", "Sundials_jll"]
+git-tree-sha1 = "4931f9013c53128337ce8df54a2d38c79fe58d4c"
 uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
-version = "4.15.1"
+version = "4.19.3"
 
 [[deps.Sundials_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "OpenBLAS_jll", "Pkg", "SuiteSparse_jll"]
@@ -1609,10 +1952,18 @@ git-tree-sha1 = "111fbf43883d95989577133aeeb889f2040d0aea"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
 version = "4.14.0"
 
+[[deps.Synapse]]
+deps = ["BenchmarkTools", "Catalyst", "DataFrames", "DataStructures", "DiffEqCallbacks", "DifferentialEquations", "Distributions", "DocStringExtensions", "Documenter", "JumpProcesses", "LSODA", "LabelledArrays", "LazySets", "LinearAlgebra", "OrdinaryDiffEq", "Parameters", "PiecewiseDeterministicMarkovProcesses", "Plots", "Printf", "Profile", "ProfileSVG", "ProgressMeter", "RecursiveArrayTools", "SparseArrays", "StaticArrays", "StatsBase", "Sundials"]
+git-tree-sha1 = "82c1f5b460c1886da8a6578b2c6d691abac69f29"
+repo-rev = "coevolve-ii"
+repo-url = "https://github.com/gzagatti/SynapseElife.git"
+uuid = "7cc9ea39-daa9-4846-be95-d8a08c9e3c85"
+version = "0.0.1"
+
 [[deps.TOML]]
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
-version = "1.0.0"
+version = "1.0.3"
 
 [[deps.TableTraits]]
 deps = ["IteratorInterfaceExtensions"]
@@ -1622,14 +1973,14 @@ version = "1.0.1"
 
 [[deps.Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
-git-tree-sha1 = "c79322d36826aa2f4fd8ecfa96ddb47b174ac78d"
+git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.10.0"
+version = "1.10.1"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
-version = "1.10.1"
+version = "1.10.0"
 
 [[deps.TensorCore]]
 deps = ["LinearAlgebra"]
@@ -1648,9 +1999,9 @@ uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.ThreadingUtilities]]
 deps = ["ManualMemory"]
-git-tree-sha1 = "c97f60dd4f2331e1a495527f80d242501d2f9865"
+git-tree-sha1 = "eda08f7e9818eb53661b3deb74e3159460dfbc27"
 uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
-version = "0.5.1"
+version = "0.5.2"
 
 [[deps.ThreadsX]]
 deps = ["ArgCheck", "BangBang", "ConstructionBase", "InitialValues", "MicroCollections", "Referenceables", "Setfield", "SplittablesBase", "Transducers"]
@@ -1660,9 +2011,9 @@ version = "0.1.11"
 
 [[deps.TimerOutputs]]
 deps = ["ExprTools", "Printf"]
-git-tree-sha1 = "f2fd3f288dfc6f507b0c3a2eb3bac009251e548b"
+git-tree-sha1 = "f548a9e9c490030e545f72074a41edfd0e5bcdd7"
 uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
-version = "0.5.22"
+version = "0.5.23"
 
 [[deps.Tokenize]]
 git-tree-sha1 = "90538bf898832b6ebd900fa40f223e695970e3a5"
@@ -1671,15 +2022,29 @@ version = "0.5.25"
 
 [[deps.TranscodingStreams]]
 deps = ["Random", "Test"]
-git-tree-sha1 = "94f38103c984f89cf77c402f2a68dbd870f8165f"
+git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.11"
+version = "0.9.13"
 
 [[deps.Transducers]]
 deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
-git-tree-sha1 = "c42fa452a60f022e9e087823b47e5a5f8adc53d5"
+git-tree-sha1 = "a66fb81baec325cf6ccafa243af573b031e87b00"
 uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
-version = "0.4.75"
+version = "0.4.77"
+
+    [deps.Transducers.extensions]
+    TransducersBlockArraysExt = "BlockArrays"
+    TransducersDataFramesExt = "DataFrames"
+    TransducersLazyArraysExt = "LazyArrays"
+    TransducersOnlineStatsBaseExt = "OnlineStatsBase"
+    TransducersReferenceablesExt = "Referenceables"
+
+    [deps.Transducers.weakdeps]
+    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
+    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
+    OnlineStatsBase = "925886fa-5bf2-5e8e-b522-a9147a512338"
+    Referenceables = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"
 
 [[deps.TreeViews]]
 deps = ["Test"]
@@ -1694,15 +2059,15 @@ uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
 version = "0.1.19"
 
 [[deps.Tricks]]
-git-tree-sha1 = "6bac775f2d42a611cdfcd1fb217ee719630c4175"
+git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549"
 uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.6"
+version = "0.1.7"
 
 [[deps.TruncatedStacktraces]]
-deps = ["InteractiveUtils", "MacroTools"]
-git-tree-sha1 = "f7057ba94e63b269125c0db75dcdef913d956351"
+deps = ["InteractiveUtils", "MacroTools", "Preferences"]
+git-tree-sha1 = "ea3e54c2bdde39062abf5a9758a23735558705e1"
 uuid = "781d530d-4396-4725-bb49-402e4bee1e77"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.URIs]]
 git-tree-sha1 = "074f993b0ca030848b897beff716d93aca60f06a"
@@ -1728,10 +2093,24 @@ uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
 version = "0.4.1"
 
 [[deps.Unitful]]
-deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"]
-git-tree-sha1 = "bb37ed24f338bc59b83e3fc9f32dd388e5396c53"
+deps = ["Dates", "LinearAlgebra", "Random"]
+git-tree-sha1 = "c4d2a349259c8eba66a00a540d550f122a3ab228"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.12.4"
+version = "1.15.0"
+
+    [deps.Unitful.extensions]
+    ConstructionBaseUnitfulExt = "ConstructionBase"
+    InverseFunctionsUnitfulExt = "InverseFunctions"
+
+    [deps.Unitful.weakdeps]
+    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
+    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
+
+[[deps.UnitfulLatexify]]
+deps = ["LaTeXStrings", "Latexify", "Unitful"]
+git-tree-sha1 = "e2d817cc500e960fdbafcf988ac8436ba3208bfd"
+uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
+version = "1.6.3"
 
 [[deps.Unzip]]
 git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
@@ -1740,9 +2119,9 @@ version = "0.2.0"
 
 [[deps.VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
-git-tree-sha1 = "952ba509a61d1ebb26381ac459c5c6e838ed43c4"
+git-tree-sha1 = "b182207d4af54ac64cbc71797765068fdeff475d"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
-version = "0.21.60"
+version = "0.21.64"
 
 [[deps.VersionParsing]]
 git-tree-sha1 = "58d6e80b4ee071f5efd07fda82cb9fbe17200868"
@@ -1786,16 +2165,16 @@ uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
 version = "1.1.34+0"
 
 [[deps.Xorg_libX11_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
-git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
+git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
 uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
-version = "1.6.9+4"
+version = "1.8.6+0"
 
 [[deps.Xorg_libXau_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
 uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
-version = "1.0.9+4"
+version = "1.0.11+0"
 
 [[deps.Xorg_libXcursor_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
@@ -1804,10 +2183,10 @@ uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
 version = "1.2.0+4"
 
 [[deps.Xorg_libXdmcp_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
 uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
-version = "1.1.3+4"
+version = "1.1.4+0"
 
 [[deps.Xorg_libXext_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
@@ -1846,22 +2225,22 @@ uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
 version = "0.9.10+4"
 
 [[deps.Xorg_libpthread_stubs_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
 uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
-version = "0.1.0+3"
+version = "0.1.1+0"
 
 [[deps.Xorg_libxcb_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
-git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
+git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
 uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
-version = "1.13.0+3"
+version = "1.15.0+0"
 
 [[deps.Xorg_libxkbfile_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
-git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
 uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
-version = "1.1.0+4"
+version = "1.1.2+0"
 
 [[deps.Xorg_xcb_util_image_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
@@ -1894,28 +2273,28 @@ uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
 version = "0.4.1+1"
 
 [[deps.Xorg_xkbcomp_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
-git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
+git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
 uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
-version = "1.4.2+4"
+version = "1.4.6+0"
 
 [[deps.Xorg_xkeyboard_config_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
-git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
+git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
 uuid = "33bec58e-1273-512f-9401-5d533626f822"
-version = "2.27.0+4"
+version = "2.39.0+0"
 
 [[deps.Xorg_xtrans_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
 uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
-version = "1.4.0+3"
+version = "1.5.0+0"
 
 [[deps.YAML]]
 deps = ["Base64", "Dates", "Printf", "StringEncodings"]
-git-tree-sha1 = "dbc7f1c0012a69486af79c8bcdb31be820670ba2"
+git-tree-sha1 = "e6330e4b731a6af7959673621e91645eb1356884"
 uuid = "ddb6d928-2868-570f-bddf-ab3f9cf99eb6"
-version = "0.4.8"
+version = "0.4.9"
 
 [[deps.ZMQ]]
 deps = ["FileWatching", "Sockets", "ZeroMQ_jll"]
@@ -1932,19 +2311,19 @@ version = "4.3.4+0"
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-version = "1.2.12+3"
+version = "1.2.13+0"
 
 [[deps.Zstd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "c6edfe154ad7b313c01aceca188c05c835c67360"
+git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c"
 uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
-version = "1.5.4+0"
+version = "1.5.5+0"
 
 [[deps.ZygoteRules]]
-deps = ["MacroTools"]
-git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
+deps = ["ChainRulesCore", "MacroTools"]
+git-tree-sha1 = "977aed5d006b840e2e40c0b48984f7463109046d"
 uuid = "700de1a5-db45-46bc-99cf-38207098b444"
-version = "0.2.2"
+version = "0.2.3"
 
 [[deps.fzf_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1965,9 +2344,9 @@ uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
 version = "0.15.1+0"
 
 [[deps.libblastrampoline_jll]]
-deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
+deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.1.1+0"
+version = "5.8.0+0"
 
 [[deps.libfdk_aac_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
diff --git a/benchmarks/Jumps/Mendes_multistate_example.jmd b/benchmarks/Jumps/Mendes_multistate_example.jmd
index 1c2fe2120..d207423d0 100644
--- a/benchmarks/Jumps/Mendes_multistate_example.jmd
+++ b/benchmarks/Jumps/Mendes_multistate_example.jmd
@@ -55,7 +55,7 @@ for (i,method) in enumerate(methods)
     end
 end
 push!(p, plot((1:4)', framestyle = :none, legend=:inside, labels=varlegs))
-plot(p..., layout=(5,2), format=fmt)
+plot(p..., layout=(6,2), format=fmt)
 ```
 
 # Benchmarking performance of the methods
diff --git a/benchmarks/Jumps/MultivariateHawkes.jmd b/benchmarks/Jumps/MultivariateHawkes.jmd
index 42bddec2b..eedfa2804 100644
--- a/benchmarks/Jumps/MultivariateHawkes.jmd
+++ b/benchmarks/Jumps/MultivariateHawkes.jmd
@@ -14,27 +14,27 @@ width_px, height_px = default(:size);
 
 # Model and example solutions
 
-Let a graph with $V$ nodes, then the multivariate Hawkes process is characterized by $V$ point processes such that the conditional intensity rate of node $i$ connected to a set of nodes $E_i$ in the graph is given by:
-$$
+Let a graph with ``V`` nodes, then the multivariate Hawkes process is characterized by ``V`` point processes such that the conditional intensity rate of node ``i`` connected to a set of nodes ``E_i`` in the graph is given by:
+```math
   \lambda_i^\ast (t) = \lambda + \sum_{j \in E_i} \sum_{t_{n_j} < t} \alpha \exp \left[-\beta (t - t_{n_j}) \right]
-$$
-This process is known as self-exciting, because the occurence of an event $ j $ at $t_{n_j}$ will increase the conditional intensity of all the processes connected to it by $\alpha$. The excited intensity then decreases at a rate proportional to $\beta$.
+```
+This process is known as self-exciting, because the occurence of an event ``j `` at ``t_{n_j}`` will increase the conditional intensity of all the processes connected to it by ``\alpha``. The excited intensity then decreases at a rate proportional to ``\beta``.
 
-The conditional intensity of this process has a recursive formulation which can significantly speed the simulation. The recursive formulation for the univariate case is derived in Laub et al. [2]. We derive the compound case here. Let $t_{N_i} = \max \{ t_{n_j} < t \mid j \in E_i \}$ and
-$$
+The conditional intensity of this process has a recursive formulation which can significantly speed the simulation. The recursive formulation for the univariate case is derived in Laub et al. [2]. We derive the compound case here. Let ``t_{N_i} = \max \{ t_{n_j} < t \mid j \in E_i \}`` and
+```math
 \begin{split}
   \phi_i^\ast (t)
     &= \sum_{j \in E_i} \sum_{t_{n_j} < t} \alpha \exp \left[-\beta (t - t_{N_i} + t_{N_i} - t_{n_j}) \right] \\
     &= \exp \left[ -\beta (t - t_{N_i}) \right] \sum_{j \in E_i} \sum_{t_{n_j} \leq t_{N_i}} \alpha \exp \left[-\beta (t_{N_i} - t_{n_j}) \right] \\
     &= \exp \left[ -\beta (t - t_{N_i}) \right] \left( \alpha + \phi^\ast (t_{N_i}) \right)
 \end{split}
-$$
-Then the conditional intensity can be re-written in terms of $\phi_i^\ast (t_{N_i})$
-$$
+```
+Then the conditional intensity can be re-written in terms of ``\phi_i^\ast (t_{N_i})``
+```math
   \lambda_i^\ast (t) = \lambda + \phi_i^\ast (t) = \lambda + \exp \left[ -\beta (t - t_{N_i}) \right] \left( \alpha + \phi_i^\ast (t_{N_i}) \right)
-$$
+```
 
-In Julia, we define a factory for the conditional intensity $\lambda_i$ which returns the brute-force or recursive versions of the intensity given node $i$ and network $g$.
+In Julia, we define a factory for the conditional intensity ``\lambda_i`` which returns the brute-force or recursive versions of the intensity given node ``i`` and network ``g``.
 
 ```julia
 function hawkes_rate(i::Int, g; use_recursion = false)
@@ -76,7 +76,7 @@ Given the rate factory, we can create a jump factory which will create all the j
 function hawkes_jump(i::Int, g; use_recursion = false)
     rate = hawkes_rate(i, g; use_recursion)
     urate = rate
-    @inbounds rateinterval(u, p, t) = p[5][i] == p[1] ? typemax(t) : 1 / (2*p[5][i])
+    @inbounds rateinterval(u, p, t) = p[5][i] == p[1] ? typemax(t) : 2 / p[5][i]
     @inbounds lrate(u, p, t) = p[1]
     @inbounds function affect_recursion!(integrator)
         λ, α, β, h, _, ϕ  = integrator.p
@@ -150,7 +150,7 @@ function hawkes_problem(
 end
 ```
 
-Lets solve the problems defined so far. We sample a random graph sampled from the Erdős-Rényi model. This model assumes that the probability of an edge between two nodes is independent of other edges, which we fix at $0.2$. For illustration purposes, we fix $V = 10$.
+Lets solve the problems defined so far. We sample a random graph sampled from the Erdős-Rényi model. This model assumes that the probability of an edge between two nodes is independent of other edges, which we fix at ``0.2``. For illustration purposes, we fix ``V = 10``.
 
 ```julia
 V = 10
@@ -158,7 +158,7 @@ G = erdos_renyi(V, 0.2, seed = 9103)
 g = [neighbors(G, i) for i = 1:nv(G)]
 ```
 
-We fix the Hawkes parameters at $\lambda = 0.5 , \alpha = 0.1 , \beta = 2.0$ which ensures the process does not explode.
+We fix the Hawkes parameters at ``\lambda = 0.5 , \alpha = 0.1 , \beta = 2.0`` which ensures the process does not explode.
 
 ```julia
 tspan = (0.0, 50.0)
@@ -179,6 +179,7 @@ algorithms = Tuple{Any, Any, Bool, String}[
 
 let fig = []
   for (i, (algo, stepper, use_recursion, label)) in enumerate(algorithms)
+    @info label
     if use_recursion
         h = zeros(eltype(tspan), nv(G))
         urate = zeros(eltype(tspan), nv(G))
@@ -193,7 +194,7 @@ let fig = []
     sol = solve(jump_prob, stepper)
     push!(fig, plot(sol.t, sol[1:V, :]', title=label, legend=false, format=fmt))
   end
-  fig = plot(fig..., layout=(2,2), format=fmt)
+  fig = plot(fig..., layout=(2,2), format=fmt, size=(width_px, 2*height_px/2))
 end
 ```
 
@@ -201,17 +202,110 @@ end
 
 We benchmark `JumpProcesses.jl` against `PiecewiseDeterministicMarkovProcesses.jl` and Python `Tick` library. 
 
-In order to compare with the `PiecewiseDeterministicMarkovProcesses.jl`, we need to reformulate our jump problem as a Piecewise Deterministic Markov Process (PDMP). In this setting, we need to describe how the conditional intensity changes with time which we derive below:
-$$
+In order to compare with the `PiecewiseDeterministicMarkovProcesses.jl`, we need to reformulate our jump problem as a Piecewise Deterministic Markov Process (PDMP). In this setting, we have two options. 
+
+The simple version only requires the conditional intensity. Like above, we define a brute-force and recursive approach. Following the library's specification we define the following functions.
+
+```julia
+function hawkes_rate_simple_recursion(rate, xc, xd, p, t, issum::Bool)
+  λ, _, β, h, ϕ, g = p
+  for i in 1:length(g)
+    rate[i] = λ + exp(-β * (t - h[i])) * ϕ[i]
+  end
+  if issum
+    return sum(rate)
+  end
+  return 0.0
+end
+
+function hawkes_rate_simple_brute(rate, xc, xd, p, t, issum::Bool)
+  λ, α, β, h, g = p
+  for i in 1:length(g)
+    x = zero(typeof(t))
+    for j in g[i]
+        for _t in reverse(h[j])
+            ϕij = α * exp(-β * (t - _t))
+            if ϕij ≈ 0
+                break
+            end
+            x += ϕij
+        end
+    end
+    rate[i] = λ + x
+  end
+  if issum
+    return sum(rate)
+  end
+  return 0.0
+end
+
+function hawkes_affect_simple_recursion!(xc, xd, p, t, i::Int64)
+  _, α, β, h, ϕ, g = p
+  for j in g[i]
+      ϕ[j] *= exp(-β * (t - h[j]))
+      ϕ[j] += α
+      h[j] = t
+  end
+end
+
+function hawkes_affect_simple_brute!(xc, xd, p, t, i::Int64)
+  push!(p[4][i], t)
+end
+```
+
+Since this is a library for PDMP, we also need to define the ODE problem. In the simple version, we simply set it to zero.
+
+```julia
+function hawkes_drate_simple(dxc, xc, xd, p, t)
+    dxc .= 0
+end
+
+```
+
+Next, we create a factory for the Multivariate Hawkes `PDMPCHVSimple` problem.
+
+```julia
+import LinearAlgebra: I
+using PiecewiseDeterministicMarkovProcesses
+const PDMP = PiecewiseDeterministicMarkovProcesses
+
+struct PDMPCHVSimple end
+
+function hawkes_problem(p,
+                        agg::PDMPCHVSimple;
+                        u = [0.0],
+                        tspan = (0.0, 50.0),
+                        save_positions = (false, true),
+                        g = [[1]],
+                        use_recursion = true)
+    xd0 = Array{Int}(u)
+    xc0 = copy(u)
+    nu = one(eltype(xd0)) * I(length(xd0))
+    if use_recursion
+      jprob = PDMPProblem(hawkes_drate_simple, hawkes_rate_simple_recursion, 
+          hawkes_affect_simple_recursion!, nu, xc0, xd0, p, tspan)
+    else
+      jprob = PDMPProblem(hawkes_drate_simple, hawkes_rate_simple_brute, 
+          hawkes_affect_simple_brute!, nu, xc0, xd0, p, tspan)
+    end
+    return jprob
+end
+
+push!(algorithms, (PDMPCHVSimple(), CHV(Tsit5()), false, "PDMPCHVSimple (brute-force)"));
+push!(algorithms, (PDMPCHVSimple(), CHV(Tsit5()), true, "PDMPCHVSimple (recursive)"));
+```
+
+The full version requires that we describe how the conditional intensity changes with time which we derive below:
+```math
 \begin{split}
   \frac{d \lambda_i^\ast (t)}{d t}
     &= -\beta \sum_{j \in E_i} \sum_{t_{n_j} < t} \alpha \exp \left[-\beta (t - t_{n_j}) \right] \\
     &= -\beta \left( \lambda_i^\ast (t) - \lambda \right)
 \end{split}
-$$
+```
 
 ```julia
-function hawkes_drate(dxc, xc, xd, p, t)
+function hawkes_drate_full(dxc, xc, xd, p, t)
     λ, α, β, _, _, g = p
     for i = 1:length(g)
         dxc[i] = -β * (xc[i] - λ)
@@ -222,7 +316,7 @@ end
 Next, we need to define the intensity rate and the jumps according to library's specification.
 
 ```julia
-function hawkes_rate(rate, xc, xd, p, t, issum::Bool)
+function hawkes_rate_full(rate, xc, xd, p, t, issum::Bool)
     λ, α, β, _, _, g = p
     if issum
         return sum(@view(xc[1:length(g)]))
@@ -231,7 +325,7 @@ function hawkes_rate(rate, xc, xd, p, t, issum::Bool)
     return 0.0
 end
 
-function hawkes_affect!(xc, xd, p, t, i::Int64)
+function hawkes_affect_full!(xc, xd, p, t, i::Int64)
     λ, α, β, _, _, g = p
     for j in g[i]
         xc[i] += α
@@ -239,18 +333,14 @@ function hawkes_affect!(xc, xd, p, t, i::Int64)
 end
 ```
 
-Finally, we create a factory for the Multivariate Hawkes `PDMPCHV` problem.
+Finally, we create a factory for the Multivariate Hawkes `PDMPCHVFull` problem.
 
 ```julia
-import LinearAlgebra: I
-using PiecewiseDeterministicMarkovProcesses
-const PDMP = PiecewiseDeterministicMarkovProcesses
-
-struct PDMPCHV end
+struct PDMPCHVFull end
 
 function hawkes_problem(
     p,
-    agg::PDMPCHV;
+    agg::PDMPCHVFull;
     u = [0.0],
     tspan = (0.0, 50.0),
     save_positions = (false, true),
@@ -260,18 +350,18 @@ function hawkes_problem(
     xd0 = Array{Int}(u)
     xc0 = [p[1] for i = 1:length(u)]
     nu = one(eltype(xd0)) * I(length(xd0))
-    jprob = PDMPProblem(hawkes_drate, hawkes_rate, hawkes_affect!, nu, xc0, xd0, p, tspan)
+    jprob = PDMPProblem(hawkes_drate_full, hawkes_rate_full, hawkes_affect_full!, nu, xc0, xd0, p, tspan)
     return jprob
 end
 
-push!(algorithms, (PDMPCHV(), CHV(Tsit5()), true, "PDMPCHV"));
+push!(algorithms, (PDMPCHVFull(), CHV(Tsit5()), true, "PDMPCHVFull"));
 ```
 
 The Python `Tick` library can be accessed with the `PyCall.jl`. We install the required Python dependencies with `Conda.jl` and define a factory for the Multivariate Hawkes `PyTick` problem.
 
 ```julia
-const BENCHMARK_PYTHON = false
-const REBUILD_PYCALL = false
+const BENCHMARK_PYTHON::Bool = tryparse(Bool, get(ENV, "SCIMLBENCHMARK_PYTHON", "true"))
+const REBUILD_PYCALL::Bool = tryparse(Bool, get(ENV, "SCIMLBENCHMARK_REBUILD_PYCALL", "true"))
 
 struct PyTick end
 
@@ -279,19 +369,21 @@ if BENCHMARK_PYTHON
   if REBUILD_PYCALL
     using Pkg, Conda
 
-    # rebuild PyCall to ensure it links to the python provided by Conda.jl
-    ENV["PYTHON"] = ""
-    Pkg.build("PyCall")
-
     # PyCall only works with Conda.ROOTENV
     # tick requires python=3.8
     Conda.add("python=3.8", Conda.ROOTENV)
     Conda.add("numpy", Conda.ROOTENV)
     Conda.pip_interop(true, Conda.ROOTENV)
     Conda.pip("install", "tick", Conda.ROOTENV)
+
+    # rebuild PyCall to ensure it links to the python provided by Conda.jl
+    ENV["PYTHON"] = ""
+    Pkg.build("PyCall")
   end
 
+  ENV["PYTHON"] = ""
   using PyCall
+  @info "PyCall" PyCall.libpython PyCall.pyversion PyCall.conda
 
   function hawkes_problem(
       p,
@@ -324,6 +416,7 @@ Now, we instantiate the problems, find their solutions and plot the results.
 ```julia
 let fig = []
   for (i, (algo, stepper, use_recursion, label)) in enumerate(algorithms[5:end])
+    @info label
     if typeof(algo) <: PyTick
         _p = (p[1], p[2], p[3])
         jump_prob = hawkes_problem(_p, algo; u, tspan, g, use_recursion)
@@ -332,24 +425,37 @@ let fig = []
         t = tspan[1]:0.1:tspan[2]
         N = [[sum(jumps .< _t) for _t in t] for jumps in jump_prob.timestamps]
         push!(fig, plot(t, N, title=label, legend=false, format=fmt))
-    elseif typeof(algo) <: PDMPCHV
+    elseif typeof(algo) <: PDMPCHVSimple
+        if use_recursion
+          h = zeros(eltype(tspan), nv(G))
+          ϕ = zeros(eltype(tspan), nv(G))
+          _p = (p[1], p[2], p[3], h, ϕ, g)
+        else
+          h = [eltype(tspan)[] for _ in 1:nv(G)]
+          _p = (p[1], p[2], p[3], h, g)
+        end
+        jump_prob = hawkes_problem(_p, algo; u, tspan, g, use_recursion)
+        sol = solve(jump_prob, stepper)
+        push!(fig, plot(sol.time, sol.xd[1:V, :]', title=label, legend=false, format=fmt))
+    elseif typeof(algo) <: PDMPCHVFull
         _p = (p[1], p[2], p[3], nothing, nothing, g)
         jump_prob = hawkes_problem(_p, algo; u, tspan, g, use_recursion)
         sol = solve(jump_prob, stepper)
         push!(fig, plot(sol.time, sol.xd[1:V, :]', title=label, legend=false, format=fmt))
     end
   end
-  fig = plot(fig..., layout=(1,2), format=fmt, size=(width_px, height_px/2))
+  fig = plot(fig..., layout=(2,2), format=fmt, size=(width_px, 2*height_px/2))
 end
 ```
+
 # Correctness: QQ-Plots
 
 We check that the algorithms produce correct simulation by inspecting their QQ-plots. Point process theory says that transforming the simulated points using the compensator should produce points whose inter-arrival duration is distributed according to the exponential distribution (see Section 7.4 [1]).
 
-The compensator of any point process is the integral of the conditional intensity $\Lambda_i^\ast(t) = \int_0^t \lambda_i^\ast(u) du$. The compensator for the Multivariate Hawkes process is defined below.
-$$
+The compensator of any point process is the integral of the conditional intensity ``\Lambda_i^\ast(t) = \int_0^t \lambda_i^\ast(u) du``. The compensator for the Multivariate Hawkes process is defined below.
+```math
     \Lambda_i^\ast(t) = \lambda t + \frac{\alpha}{\beta} \sum_{j \in E_i} \sum_{t_{n_j} < t} ( 1 - \exp \left[-\beta (t - t_{n_j}) \right])
-$$
+```
 
 ```julia
 function hawkes_Λ(i::Int, g, p)
@@ -535,14 +641,24 @@ We can construct QQ-plots with a Plot recipe as following.
 end
 ```
 
-Now, we simulate all of the algorithms we defined in the previous Section $250$ times to produce their QQ-plots.
+Now, we simulate all of the algorithms we defined in the previous Section ``250`` times to produce their QQ-plots.
 
 ```julia
 let fig = []
     for (i, (algo, stepper, use_recursion, label)) in enumerate(algorithms)
+        @info label
         if typeof(algo) <: PyTick
             _p = (p[1], p[2], p[3])
-        elseif typeof(algo) <: PDMPCHV
+        elseif typeof(algo) <: PDMPCHVSimple
+            if use_recursion
+                h = zeros(eltype(tspan), nv(G))
+                ϕ = zeros(eltype(tspan), nv(G))
+                _p = (p[1], p[2], p[3], h, ϕ, g)
+            else
+                h = [eltype(tspan)[] for _ in 1:nv(G)]
+                _p = (p[1], p[2], p[3], h, g)
+            end
+        elseif typeof(algo) <: PDMPCHVFull
             _p = (p[1], p[2], p[3], nothing, nothing, g)
         else
             if use_recursion
@@ -564,14 +680,16 @@ let fig = []
                 jump_prob.simulate()
                 runs[n] = jump_prob.timestamps
             else
-                if ~(typeof(algo) <: PDMPCHV)
+                if ~(typeof(algo) <: PDMPCHVFull)
                     if use_recursion
                         h .= 0
                         ϕ .= 0
                     else
                         for _h in h empty!(_h) end
                     end
-                    urate .= 0
+                    if ~(typeof(algo) <: PDMPCHVSimple)
+                        urate .= 0
+                    end
                 end
                 runs[n] = histories(solve(jump_prob, stepper))
             end
@@ -579,7 +697,7 @@ let fig = []
         qqs = qq(runs, Λ)
         push!(fig, qqplot(qqs..., legend = false, aspect_ratio = :equal, title=label, fmt=fmt))
     end
-    fig = plot(fig..., layout = (3, 2), fmt=fmt, size=(width_px, 3*height_px/2))
+    fig = plot(fig..., layout = (4, 2), fmt=fmt, size=(width_px, 4*height_px/2))
 end
 ```
 
@@ -587,9 +705,9 @@ end
 
 In this Section we benchmark all the algorithms introduced in the first Section.
 
-We generate networks in the range from $1$ to $95$ nodes and simulate the Multivariate Hawkes process $25$ units of time. 
+We generate networks in the range from ``1`` to ``95`` nodes and simulate the Multivariate Hawkes process ``25`` units of time. 
 
- and simulate models in the range from $1$ to $95$ nodes for $25$ units of time. We fix the Hawkes parameters at $\lambda = 0.5 , \alpha = 0.1 , \beta = 5.0$ which ensures the process does not explode. We simulate $50$ trajectories with a limit of ten seconds to complete execution for each configuration.
+ and simulate models in the range from ``1`` to ``95`` nodes for ``25`` units of time. We fix the Hawkes parameters at ``\lambda = 0.5 , \alpha = 0.1 , \beta = 5.0`` which ensures the process does not explode. We simulate ``50`` trajectories with a limit of ten seconds to complete execution for each configuration.
 
 ```julia
 tspan = (0.0, 25.0)
@@ -600,6 +718,7 @@ Gs = [erdos_renyi(V, 0.2, seed = 6221) for V in Vs]
 bs = Vector{Vector{BenchmarkTools.Trial}}()
 
 for (algo, stepper, use_recursion, label) in algorithms
+    @info label
     global _stepper = stepper
     push!(bs, Vector{BenchmarkTools.Trial}())
     _bs = bs[end]
@@ -608,7 +727,16 @@ for (algo, stepper, use_recursion, label) in algorithms
         local u = [0.0 for i = 1:nv(G)]
         if typeof(algo) <: PyTick
             _p = (p[1], p[2], p[3])
-        elseif typeof(algo) <: PDMPCHV
+        elseif typeof(algo) <: PDMPCHVSimple
+            if use_recursion
+              global h = zeros(eltype(tspan), nv(G))
+              global ϕ = zeros(eltype(tspan), nv(G))
+              _p = (p[1], p[2], p[3], h, ϕ, g)
+            else
+              global h = [eltype(tspan)[] for _ in 1:nv(G)]
+              _p = (p[1], p[2], p[3], h, g)
+            end
+        elseif typeof(algo) <: PDMPCHVFull
             _p = (p[1], p[2], p[3], nothing, nothing, g)
         else
             if use_recursion
@@ -633,7 +761,7 @@ for (algo, stepper, use_recursion, label) in algorithms
                     seconds = 10,
                 )
             else
-                if typeof(algo) <: PDMPCHV
+                if typeof(algo) <: PDMPCHVFull
                     @benchmark(
                         solve(jump_prob, _stepper),
                         setup = (),
@@ -641,6 +769,20 @@ for (algo, stepper, use_recursion, label) in algorithms
                         evals = 1,
                         seconds = 10,
                     )
+                elseif typeof(algo) <: PDMPCHVSimple
+                    if use_recursion
+                        @benchmark(solve(jump_prob, _stepper),
+                                   setup=(h .= 0; ϕ .= 0),
+                                   samples=50,
+                                   evals=1,
+                                   seconds=10,)
+                    else
+                        @benchmark(solve(jump_prob, _stepper),
+                                   setup=([empty!(_h) for _h in h]),
+                                   samples=50,
+                                   evals=1,
+                                   seconds=10,)
+                    end
                 else
                     if use_recursion
                         @benchmark(
diff --git a/benchmarks/Jumps/Project.toml b/benchmarks/Jumps/Project.toml
index 3b1fecbad..9dd6adc66 100644
--- a/benchmarks/Jumps/Project.toml
+++ b/benchmarks/Jumps/Project.toml
@@ -3,6 +3,7 @@ BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 Catalyst = "479239e8-5488-4da2-87a7-35f2df7eef83"
 Conda = "8f4d0f93-b110-5947-807f-2305c1781a2d"
 DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
 Graphs = "86223c79-3864-5bf0-83f7-82e725a168b6"
 JumpProblemLibrary = "faf0f6d7-8cee-47cb-b27c-1eb80cef534e"
@@ -16,13 +17,15 @@ PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SciMLBenchmarks = "31c91b34-3c75-11e9-0341-95557aab0344"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
+Synapse = "7cc9ea39-daa9-4846-be95-d8a08c9e3c85"
 
 [compat]
 BenchmarkTools = "1.3.1"
 Catalyst = "12.2"
 DataFrames = "1.3.4"
 JumpProblemLibrary = "0.1"
-JumpProcesses = "9.1"
+JumpProcesses = "9.7"
 ModelingToolkit = "8.18"
 OrdinaryDiffEq = "6.20"
 Plots = "1.31"
diff --git a/benchmarks/Jumps/Synapse.jmd b/benchmarks/Jumps/Synapse.jmd
new file mode 100644
index 000000000..d13a2db5c
--- /dev/null
+++ b/benchmarks/Jumps/Synapse.jmd
@@ -0,0 +1,156 @@
+---
+title: Synapse model
+author: Yuri Rodrigues, Cian O'Donnel, Romain Veltz, Guilherme Zagatti
+weave_options:
+    fig_ext: ".png"
+---
+
+```julia
+using Synapse
+using PiecewiseDeterministicMarkovProcesses, JumpProcesses, OrdinaryDiffEq, Plots
+using BenchmarkTools
+fmt = :png
+```
+
+# Model and example solutions
+
+Here we implement the stochastic model of hippocampal synaptic plasticity with geometrical readount of enzyme dinamics from Rodrigues et al. [1].
+
+
+## Parameters and initial conditions
+
+```julia
+p_synapse = SynapseParams(t_end = 1000.0);
+glu = 0.0;
+events_sorted_times = [500.0];
+is_pre_or_post_event = [true];
+events_bap = events_sorted_times[is_pre_or_post_event.==false];
+bap_by_epsp = Float64[];
+nu = buildTransitionMatrix();
+```
+
+```julia
+xc0 = initial_conditions_continuous_temp(p_synapse);
+xd0 = initial_conditions_discrete(p_synapse);
+```
+
+## Algorithms to benchmark
+
+`CoevolveSynced` allow us to save at regular intervals. Thus, rather than saving when a jump occurs, we save at the same average frequency as obtained with `PDMP`.
+
+```julia
+solver = AutoTsit5(Rosenbrock23());
+algorithms = [
+    (
+        label = "PDMP",
+        agg = nothing,
+        solver = (CHV(solver), CHV(solver)),
+        saveat = [],
+    ),
+    (
+        label = "Coevolve",
+        agg = Coevolve(),
+        solver = (solver, solver),
+        saveat = 1 / p_synapse.sampling_rate,
+    ),
+];
+```
+
+## Example solutions
+
+```julia
+results = []
+
+for algo in algorithms
+    push!(
+        results,
+        evolveSynapse(
+            xc0,
+            xd0,
+            p_synapse,
+            events_sorted_times,
+            is_pre_or_post_event,
+            bap_by_epsp,
+            [true],
+            nu,
+            algo.solver,
+            algo.agg;
+            save_positions = (false, true),
+            saveat = algo.saveat,
+            save_everystep = false,
+        ),
+    )
+end
+```
+
+```julia
+fig = plot(xlabel = "Voltage", ylabel = "Time");
+for (i, algo) in enumerate(algorithms)
+    res = results[i]
+    plot!(res.t, res.Vsp, label = algo.label)
+end
+title!("Vsp")
+```
+
+```julia
+fig = plot(xlabel = "N", ylabel = "Time");
+for (i, algo) in enumerate(algorithms)
+    res = results[i]
+    plot!(res.t, res.XD[1, :], label = algo.label)
+end
+title!("2line-Go, AMPA")
+```
+
+# Benchmarking perfomance
+
+```julia
+bs = Vector{BenchmarkTools.Trial}()
+
+for algo in algorithms
+    push!(
+        bs,
+        @benchmark(
+            evolveSynapse(
+                xc0,
+                xd0,
+                p_synapse,
+                events_sorted_times,
+                is_pre_or_post_event,
+                bap_by_epsp,
+                [true],
+                nu,
+                $(algo).solver,
+                $(algo).agg;
+                save_positions = (false, true),
+                saveat = $(algo).saveat,
+                save_everystep = false,
+            ),
+            samples = 50,
+            evals = 1,
+            seconds = 500,
+        )
+    )
+end
+```
+
+```julia
+labels = [a.label for a in algorithms]
+medtimes = [text(string(round(median(b).time/1e9, digits=3),"s"), :center, 12) for b in bs]
+relmedtimes = [median(b).time for b in bs]
+relmedtimes ./= relmedtimes[1]
+bar(labels, relmedtimes, markeralpha=0, series_annotation=medtimes, fmt=fmt)
+title!("evolveSynapse (Median time)")
+```
+
+```julia
+medmem = [text(string(round(median(b).memory/1e6, digits=3),"Mb"), :center, 12) for b in bs]
+relmedmem = Float64[median(b).memory for b in bs]
+relmedmem ./= relmedmem[1]
+bar(labels, relmedmem, markeralpha=0, series_annotation=medmem, fmt=fmt)
+title!("evolveSynapse (Median memory)")
+```
+
+# References
+
+[1] Y. E. Rodrigues, C. M. Tigaret, H. Marie, C. O’Donnell, and R. Veltz, "A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics." bioRxiv, p. 2021.03.30.437703, Mar. 30, 2021. doi: 10.1101/2021.03.30.437703.
+