diff --git a/Manifest.toml b/Manifest.toml
index 9893b12..78c02a4 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -202,9 +202,9 @@ version = "0.4.2"
 
 [[CPUSummary]]
 deps = ["CpuId", "IfElse", "Static"]
-git-tree-sha1 = "a7157ab6bcda173f533db4c93fc8a27a48843757"
+git-tree-sha1 = "5b735f654bdfd7b6c18c49f1d3ebff34b4b8af43"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
-version = "0.1.30"
+version = "0.2.1"
 
 [[CSSUtil]]
 deps = ["Colors", "JSON", "Markdown", "Measures", "WebIO"]
@@ -214,15 +214,15 @@ version = "0.1.1"
 
 [[CSV]]
 deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "SentinelArrays", "SnoopPrecompile", "Tables", "Unicode", "WeakRefStrings", "WorkerUtilities"]
-git-tree-sha1 = "8c73e96bd6817c2597cfd5615b91fca5deccf1af"
+git-tree-sha1 = "c700cce799b51c9045473de751e9319bdd1c6e94"
 uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
-version = "0.10.8"
+version = "0.10.9"
 
 [[CUDA]]
 deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "LazyArtifacts", "Libdl", "LinearAlgebra", "Logging", "Printf", "Random", "Random123", "RandomNumbers", "Reexport", "Requires", "SparseArrays", "SpecialFunctions", "TimerOutputs"]
-git-tree-sha1 = "49549e2c28ffb9cc77b3689dc10e46e6271e9452"
+git-tree-sha1 = "a56dff7bc49b5d5ac43d2c10eb2aef94becd5251"
 uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
-version = "3.12.0"
+version = "3.12.1"
 
 [[Cairo_jll]]
 deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
@@ -244,9 +244,9 @@ version = "0.2.2"
 
 [[ChainRules]]
 deps = ["Adapt", "ChainRulesCore", "Compat", "Distributed", "GPUArraysCore", "IrrationalConstants", "LinearAlgebra", "Random", "RealDot", "SparseArrays", "Statistics", "StructArrays"]
-git-tree-sha1 = "99a39b0f807499510e2ea14b0eef8422082aa372"
+git-tree-sha1 = "c46adabdd0348f0ee8de91142cfc4a72a613ac0a"
 uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
-version = "1.46.0"
+version = "1.46.1"
 
 [[ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
@@ -310,9 +310,9 @@ version = "0.11.4"
 
 [[ColorVectorSpace]]
 deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
-git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322"
+git-tree-sha1 = "600cc5508d66b78aae350f7accdb58763ac18589"
 uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
-version = "0.9.9"
+version = "0.9.10"
 
 [[Colors]]
 deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
@@ -436,15 +436,15 @@ uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
 [[Debugger]]
 deps = ["CodeTracking", "Crayons", "Highlights", "InteractiveUtils", "JuliaInterpreter", "Markdown", "REPL"]
-git-tree-sha1 = "fad0af996889f2e7848093c33b1843bee9499fdd"
+git-tree-sha1 = "6798d210d8277b96cee6a6af387ed249b6e744ab"
 uuid = "31a5f54b-26ea-5ae9-a837-f05ce5417438"
-version = "0.7.7"
+version = "0.7.8"
 
 [[DecisionTree]]
 deps = ["AbstractTrees", "DelimitedFiles", "LinearAlgebra", "Random", "ScikitLearnBase", "Statistics"]
-git-tree-sha1 = "cbf727a9d5fb18c73dc0cbd21a9c696540bf56ae"
+git-tree-sha1 = "e2ecf1b03f092251e0934c34fa579e37e5819ed1"
 uuid = "7806a523-6efd-50cb-b5f6-3fa6f1930dbb"
-version = "0.12.1"
+version = "0.12.2"
 
 [[DefineSingletons]]
 git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
@@ -468,10 +468,10 @@ uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
 version = "0.4.0"
 
 [[DiffEqBase]]
-deps = ["ArrayInterfaceCore", "ChainRulesCore", "DataStructures", "Distributions", "DocStringExtensions", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "MuladdMacro", "Parameters", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "Static", "StaticArrays", "Statistics", "Tricks", "ZygoteRules"]
-git-tree-sha1 = "65805bb205e8d011fc91da87d41d14394db5d791"
+deps = ["ArrayInterfaceCore", "ChainRulesCore", "DataStructures", "Distributions", "DocStringExtensions", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "MuladdMacro", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "Static", "StaticArrays", "Statistics", "Tricks", "ZygoteRules"]
+git-tree-sha1 = "b410f0b8a52752e1c1723b4316382203f914672c"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.108.0"
+version = "6.113.1"
 
 [[DiffEqCallbacks]]
 deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "Markdown", "NLsolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArrays"]
@@ -481,9 +481,9 @@ version = "2.24.3"
 
 [[DiffEqNoiseProcess]]
 deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "ResettableStacks", "SciMLBase", "StaticArrays", "Statistics"]
-git-tree-sha1 = "27350a71ca46c85a0bcdf7dca3b966f218c08f9a"
+git-tree-sha1 = "1a5c145ea1915b92e0d446c05e375f9c69c0348d"
 uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
-version = "5.15.0"
+version = "5.15.2"
 
 [[DiffResults]]
 deps = ["StaticArraysCore"]
@@ -521,9 +521,9 @@ uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[Distributions]]
 deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "a7756d098cbabec6b3ac44f369f74915e8cfd70a"
+git-tree-sha1 = "74911ad88921455c6afcad1eefa12bd7b1724631"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.79"
+version = "0.25.80"
 
 [[DocStringExtensions]]
 deps = ["LibGit2"]
@@ -613,9 +613,9 @@ version = "0.1.1"
 
 [[FastBroadcast]]
 deps = ["ArrayInterface", "ArrayInterfaceCore", "LinearAlgebra", "Polyester", "Static", "StrideArraysCore"]
-git-tree-sha1 = "24db26ecc4c8a00584672d3b4c6cb0bb3dad9d51"
+git-tree-sha1 = "4bef892787c972913d4d84e7255400759bb650e5"
 uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
-version = "0.2.3"
+version = "0.2.4"
 
 [[FastClosures]]
 git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
@@ -765,21 +765,21 @@ version = "0.1.2"
 
 [[GPUCompiler]]
 deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
-git-tree-sha1 = "30488903139ebf4c88f965e7e396f2d652f988ac"
+git-tree-sha1 = "48832a7cacbe56e591a7bef690c78b9d00bcc692"
 uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
-version = "0.16.7"
+version = "0.17.1"
 
 [[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 = "bcc737c4c3afc86f3bbc55eb1b9fabcee4ff2d81"
+git-tree-sha1 = "387d2b8b3ca57b791633f0993b31d8cb43ea3292"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.71.2"
+version = "0.71.3"
 
 [[GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "64ef06fa8f814ff0d09ac31454f784c488e22b29"
+git-tree-sha1 = "5982b5e20f97bff955e9a2343a14da96a746cd8c"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.71.2+0"
+version = "0.71.3+0"
 
 [[GenericSchur]]
 deps = ["LinearAlgebra", "Printf"]
@@ -1154,9 +1154,9 @@ version = "0.6.3"
 
 [[JumpProcesses]]
 deps = ["ArrayInterfaceCore", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "TreeViews", "UnPack"]
-git-tree-sha1 = "2cc453fad790410a40a6efe38e46c9c5a9c6fa41"
+git-tree-sha1 = "09ed2720b2e343e48780a3156c4a6cef8dd54192"
 uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
-version = "9.2.3"
+version = "9.3.1"
 
 [[KLU]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
@@ -1237,9 +1237,9 @@ version = "1.3.0"
 
 [[Latexify]]
 deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
-git-tree-sha1 = "ab9aa169d2160129beb241cb2750ca499b4e90e9"
+git-tree-sha1 = "2422f47b34d4b127720a18f86fa7b1aa2e141f29"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.15.17"
+version = "0.15.18"
 
 [[LayoutPointers]]
 deps = ["ArrayInterface", "ArrayInterfaceOffsetArrays", "ArrayInterfaceStaticArrays", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static"]
@@ -1359,9 +1359,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[LinearSolve]]
 deps = ["ArrayInterfaceCore", "DocStringExtensions", "FastLapackInterface", "GPUArraysCore", "IterativeSolvers", "KLU", "Krylov", "KrylovKit", "LinearAlgebra", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "SnoopPrecompile", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"]
-git-tree-sha1 = "fb818ddfb0a6243f45bc99de2c9636b8f16381ea"
+git-tree-sha1 = "cf1227e369513687658476e466a5b73a7c3dfa1f"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "1.32.2"
+version = "1.33.0"
 
 [[LittleCMS_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pkg"]
@@ -1380,9 +1380,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[LoopVectorization]]
 deps = ["ArrayInterface", "ArrayInterfaceCore", "ArrayInterfaceOffsetArrays", "ArrayInterfaceStaticArrays", "CPUSummary", "ChainRulesCore", "CloseOpenIntervals", "DocStringExtensions", "ForwardDiff", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "SIMDDualNumbers", "SIMDTypes", "SLEEFPirates", "SnoopPrecompile", "SpecialFunctions", "Static", "ThreadingUtilities", "UnPack", "VectorizationBase"]
-git-tree-sha1 = "0897c2d2138f090064559a3d90b12b8725d118c2"
+git-tree-sha1 = "155132d68bc33c826dbdeb452c5d0a79e2d0e586"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
-version = "0.12.143"
+version = "0.12.146"
 
 [[MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
@@ -1435,9 +1435,9 @@ uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
 [[MathOptInterface]]
 deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
-git-tree-sha1 = "34bc4ea9d1b1ee5da976bc88e5546df98872c56f"
+git-tree-sha1 = "baa31c7b235492d9a6f2cb31bb533d74345b0614"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.11.1"
+version = "1.11.4"
 
 [[MathProgBase]]
 deps = ["LinearAlgebra", "SparseArrays"]
@@ -1462,9 +1462,9 @@ version = "0.3.2"
 
 [[MetaGraphs]]
 deps = ["Graphs", "JLD2", "Random"]
-git-tree-sha1 = "2af69ff3c024d13bde52b34a2a7d6887d4e7b438"
+git-tree-sha1 = "1130dbe1d5276cb656f6e1094ce97466ed700e5a"
 uuid = "626554b9-1ddb-594c-aa3c-2596fe9399a5"
-version = "0.7.1"
+version = "0.7.2"
 
 [[Metalhead]]
 deps = ["Artifacts", "BSON", "Flux", "Functors", "LazyArtifacts", "MLUtils", "NNlib", "Random", "Statistics"]
@@ -1544,16 +1544,16 @@ uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
 version = "4.5.1"
 
 [[NNlib]]
-deps = ["Adapt", "ChainRulesCore", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
-git-tree-sha1 = "c56c199dcd825c289b32a2c526f0d5855c2405e2"
+deps = ["Adapt", "ChainRulesCore", "LinearAlgebra", "Pkg", "Random", "Requires", "Statistics"]
+git-tree-sha1 = "03541c7a6dc3010cb2e33a01295f3cd35b5fd41e"
 uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
-version = "0.8.12"
+version = "0.8.15"
 
 [[NNlibCUDA]]
 deps = ["Adapt", "CUDA", "LinearAlgebra", "NNlib", "Random", "Statistics"]
-git-tree-sha1 = "4429261364c5ea5b7308aecaa10e803ace101631"
+git-tree-sha1 = "b05a082b08a3af0e5c576883bc6dfb6513e7e478"
 uuid = "a00861dc-f156-4864-bf3c-e6376f28a68d"
-version = "0.2.4"
+version = "0.2.6"
 
 [[NaNMath]]
 deps = ["OpenLibm_jll"]
@@ -1594,6 +1594,12 @@ version = "3.7.2+0"
 [[NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 
+[[NonlinearSolve]]
+deps = ["ArrayInterfaceCore", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "UnPack"]
+git-tree-sha1 = "7142ca5ab9bd7452cafb29f7d51f574a09d69052"
+uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
+version = "1.1.1"
+
 [[Observables]]
 git-tree-sha1 = "6862738f9796b3edc1c09d0890afce4eca9e7e93"
 uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
@@ -1685,10 +1691,10 @@ uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 version = "1.4.1"
 
 [[OrdinaryDiffEq]]
-deps = ["Adapt", "ArrayInterface", "ArrayInterfaceCore", "ArrayInterfaceGPUArrays", "ArrayInterfaceStaticArrays", "ArrayInterfaceStaticArraysCore", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "Polyester", "PreallocationTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
-git-tree-sha1 = "3e6e80272ae0525281e0531e766359891846a494"
+deps = ["Adapt", "ArrayInterface", "ArrayInterfaceCore", "ArrayInterfaceGPUArrays", "ArrayInterfaceStaticArrays", "ArrayInterfaceStaticArraysCore", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "NonlinearSolve", "Polyester", "PreallocationTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLNLSolve", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
+git-tree-sha1 = "ca0c8939dbd3617ae3fdca13374d0b7501a2dd28"
 uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
-version = "6.33.3"
+version = "6.37.0"
 
 [[PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1732,9 +1738,9 @@ version = "2.1.1"
 
 [[Parsers]]
 deps = ["Dates", "SnoopPrecompile"]
-git-tree-sha1 = "6466e524967496866901a78fca3f2e9ea445a559"
+git-tree-sha1 = "8175fc2b118a3755113c8e68084dc1a9e63c61ee"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.2"
+version = "2.5.3"
 
 [[Pidfile]]
 deps = ["FileWatching", "Test"]
@@ -1777,9 +1783,9 @@ version = "1.3.2"
 
 [[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 = "513084afca53c9af3491c94224997768b9af37e8"
+git-tree-sha1 = "a99bbd3664bb12a775cda2eba7f3b2facf3dad94"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.38.0"
+version = "1.38.2"
 
 [[PoissonRandom]]
 deps = ["Random"]
@@ -1789,21 +1795,21 @@ version = "0.4.3"
 
 [[Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StrideArraysCore", "ThreadingUtilities"]
-git-tree-sha1 = "98dcddc8e06e5c3cb68aa7f110dd07e331e09c25"
+git-tree-sha1 = "7f8dd47630b265df9e1d117137ee1894b195e032"
 uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
-version = "0.6.19"
+version = "0.7.1"
 
 [[PolyesterWeave]]
 deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
-git-tree-sha1 = "050ca4aa2ca31484b51b849d8180caf8e4449c49"
+git-tree-sha1 = "5d0a598c95f67ee0787723e38745cb954d143684"
 uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
-version = "0.1.11"
+version = "0.2.0"
 
 [[Polynomials]]
 deps = ["LinearAlgebra", "RecipesBase"]
-git-tree-sha1 = "3010a6dd6ad4c7384d2f38c58fa8172797d879c1"
+git-tree-sha1 = "432e9736a222c2ee96432075774187b90f300524"
 uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
-version = "3.2.0"
+version = "3.2.2"
 
 [[PooledArrays]]
 deps = ["DataAPI", "Future"]
@@ -1903,10 +1909,10 @@ uuid = "fcd29c91-0bd7-5a09-975d-7ac3f643a60c"
 version = "0.16.4"
 
 [[Quaternions]]
-deps = ["LinearAlgebra", "Random"]
-git-tree-sha1 = "fcebf40de9a04c58da5073ec09c1c1e95944c79b"
+deps = ["LinearAlgebra", "Random", "RealDot"]
+git-tree-sha1 = "da095158bdc8eaccb7890f9884048555ab771019"
 uuid = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
-version = "0.6.1"
+version = "0.7.4"
 
 [[REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -1947,9 +1953,9 @@ version = "0.1.0"
 
 [[RecipesBase]]
 deps = ["SnoopPrecompile"]
-git-tree-sha1 = "18c35ed630d7229c5584b945641a73ca83fb5213"
+git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
-version = "1.3.2"
+version = "1.3.3"
 
 [[RecipesPipeline]]
 deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase", "SnoopPrecompile"]
@@ -1958,16 +1964,16 @@ uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
 version = "0.6.11"
 
 [[RecursiveArrayTools]]
-deps = ["Adapt", "ArrayInterfaceCore", "ArrayInterfaceStaticArraysCore", "ChainRulesCore", "DocStringExtensions", "FillArrays", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "Tables", "ZygoteRules"]
-git-tree-sha1 = "a5ce741acddc02f0d4fc6505463ca89697d7fb23"
+deps = ["Adapt", "ArrayInterfaceCore", "ArrayInterfaceStaticArraysCore", "ChainRulesCore", "DocStringExtensions", "FillArrays", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "ZygoteRules"]
+git-tree-sha1 = "fcf0962b399f3bc0fa13ae7274db7879c3ef9f1e"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "2.32.3"
+version = "2.35.0"
 
 [[RecursiveFactorization]]
 deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "SnoopPrecompile", "StrideArraysCore", "TriangularSolve"]
-git-tree-sha1 = "2979cbb21580760431d2afb9b8f0f522899542f7"
+git-tree-sha1 = "664aba1c5259821356f2ef771eabc502d67a8f0d"
 uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
-version = "0.2.13"
+version = "0.2.16"
 
 [[Reexport]]
 git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
@@ -2018,9 +2024,9 @@ version = "2.0.8"
 
 [[Rotations]]
 deps = ["LinearAlgebra", "Quaternions", "Random", "StaticArrays", "Statistics"]
-git-tree-sha1 = "793b6ef92f9e96167ddbbd2d9685009e200eb84f"
+git-tree-sha1 = "9480500060044fd25a1c341da53f34df7443c2f2"
 uuid = "6038ab10-8711-5258-84ad-4b1120ba62dc"
-version = "1.3.3"
+version = "1.3.4"
 
 [[RuntimeGeneratedFunctions]]
 deps = ["ExprTools", "SHA", "Serialization"]
@@ -2054,6 +2060,12 @@ git-tree-sha1 = "fe89a8113ea445bcff9ee570077830674babb534"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
 version = "1.81.0"
 
+[[SciMLNLSolve]]
+deps = ["LineSearches", "NLsolve", "Reexport", "SciMLBase"]
+git-tree-sha1 = "b35d1f5d8afeee44e24915bb767e34fae867502f"
+uuid = "e9a6253c-8580-4d32-9898-8661bb511710"
+version = "0.1.1"
+
 [[ScikitLearnBase]]
 deps = ["LinearAlgebra", "Random", "Statistics"]
 git-tree-sha1 = "7877e55c1523a4b336b433da39c8e8c08d2f221f"
@@ -2102,10 +2114,10 @@ uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
 version = "1.0.3"
 
 [[SimpleNonlinearSolve]]
-deps = ["ArrayInterfaceCore", "FiniteDiff", "ForwardDiff", "Reexport", "SciMLBase", "SnoopPrecompile", "StaticArraysCore"]
-git-tree-sha1 = "fc4b9f81a033cf6879c91bb7f5b3ff59008c7dd2"
+deps = ["ArrayInterfaceCore", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Reexport", "SciMLBase", "SnoopPrecompile", "StaticArraysCore"]
+git-tree-sha1 = "61b8ffdb22453132e02a10c5638dfb42834c776b"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "0.1.4"
+version = "0.1.5"
 
 [[SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
@@ -2126,9 +2138,10 @@ uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47"
 version = "0.1.2"
 
 [[SnoopPrecompile]]
-git-tree-sha1 = "f604441450a3c0569830946e5b33b78c928e1a85"
+deps = ["Preferences"]
+git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
 uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
-version = "1.0.1"
+version = "1.0.3"
 
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
@@ -2151,9 +2164,9 @@ version = "1.30.0"
 
 [[Sparspak]]
 deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
-git-tree-sha1 = "dbe7d12e530416a26135d9566f00946aea1b2474"
+git-tree-sha1 = "4149bb50ccf65bc9c9d55e7001ca7aa4a7649603"
 uuid = "e56a9233-b9d6-4f03-8d0f-1825330902ac"
-version = "0.3.2"
+version = "0.3.4"
 
 [[SpecialFunctions]]
 deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
@@ -2238,9 +2251,9 @@ version = "6.57.4"
 
 [[StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "ThreadingUtilities"]
-git-tree-sha1 = "8e91e5618bbca975312313c39ff827ea8f802fe3"
+git-tree-sha1 = "70b6ee0e5cc1745a28dd9ba040b8e5ee28fffc69"
 uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
-version = "0.4.4"
+version = "0.4.5"
 
 [[StringEncodings]]
 deps = ["Libiconv_jll"]
@@ -2275,9 +2288,9 @@ uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
 
 [[Sundials]]
 deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SciMLBase", "SnoopPrecompile", "SparseArrays", "Sundials_jll"]
-git-tree-sha1 = "3f8c27118d25ac5cfd36ec382c9c3a834c4d91ad"
+git-tree-sha1 = "016f524e060573d77bb8d60cbbb3ffbc7205804b"
 uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
-version = "4.11.4"
+version = "4.12.0"
 
 [[Sundials_jll]]
 deps = ["CompilerSupportLibraries_jll", "Libdl", "OpenBLAS_jll", "Pkg", "SuiteSparse_jll"]
@@ -2285,6 +2298,12 @@ git-tree-sha1 = "013ff4504fc1d475aa80c63b455b6b3a58767db2"
 uuid = "fb77eaff-e24c-56d4-86b1-d163f2edb164"
 version = "5.2.0+1"
 
+[[SymbolicIndexingInterface]]
+deps = ["DocStringExtensions"]
+git-tree-sha1 = "6b764c160547240d868be4e961a5037f47ad7379"
+uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
+version = "0.2.1"
+
 [[TOML]]
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
@@ -2358,9 +2377,9 @@ version = "0.5.22"
 
 [[TranscodingStreams]]
 deps = ["Random", "Test"]
-git-tree-sha1 = "e4bdc63f5c6d62e80eb1c0043fcc0360d5950ff7"
+git-tree-sha1 = "94f38103c984f89cf77c402f2a68dbd870f8165f"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.10"
+version = "0.9.11"
 
 [[Transducers]]
 deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
@@ -2376,9 +2395,9 @@ version = "0.3.0"
 
 [[TriangularSolve]]
 deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "SnoopPrecompile", "Static", "VectorizationBase"]
-git-tree-sha1 = "766f5b1fc80f667ad6eab787af21e19cd65cb1b7"
+git-tree-sha1 = "6cca884e0fe17916da63c62dc1bf5896ce5d723e"
 uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
-version = "0.1.16"
+version = "0.1.17"
 
 [[Tricks]]
 git-tree-sha1 = "6bac775f2d42a611cdfcd1fb217ee719630c4175"
@@ -2410,9 +2429,9 @@ version = "0.4.1"
 
 [[UnicodePlots]]
 deps = ["ColorSchemes", "ColorTypes", "Contour", "Crayons", "Dates", "FileIO", "FreeType", "LinearAlgebra", "MarchingCubes", "NaNMath", "Printf", "Requires", "SnoopPrecompile", "SparseArrays", "StaticArrays", "StatsBase", "Unitful"]
-git-tree-sha1 = "e20b01d50cd162593cfd9691628c830769f68987"
+git-tree-sha1 = "64b6f4f8ffd783af63819126cb3091f97c3b1aec"
 uuid = "b8865327-cd53-5732-bb35-84acbb429228"
-version = "3.3.1"
+version = "3.3.4"
 
 [[Unitful]]
 deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"]
@@ -2427,9 +2446,9 @@ version = "0.1.2"
 
 [[VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static"]
-git-tree-sha1 = "fc79d0f926592ecaeaee164f6a4ca81b51115c3b"
+git-tree-sha1 = "6b1dc4fc039d273abc247eba675ac1299380e5d9"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
-version = "0.21.56"
+version = "0.21.57"
 
 [[VertexSafeGraphs]]
 deps = ["Graphs"]
@@ -2658,9 +2677,9 @@ version = "1.5.2+0"
 
 [[Zygote]]
 deps = ["AbstractFFTs", "ChainRules", "ChainRulesCore", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "GPUArrays", "GPUArraysCore", "IRTools", "InteractiveUtils", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NaNMath", "Random", "Requires", "SparseArrays", "SpecialFunctions", "Statistics", "ZygoteRules"]
-git-tree-sha1 = "a6f1287943ac05fae56fa06049d1a7846dfbc65f"
+git-tree-sha1 = "e76246c67099856cc9a85a3a809a57980eef2eae"
 uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
-version = "0.6.51"
+version = "0.6.54"
 
 [[ZygoteRules]]
 deps = ["MacroTools"]