Different gradient behaviour depending on ODE-Definition

Hi everyone,

I have started using Julia for the identification of ODE-parameters using DiffEqFlux. I noticed some strange behaviour of the “gradient” function that I cannot explain. The following code (which of course makes no sense) is the simplest example for which the behaviour occurs.

using DiffEqFlux, DifferentialEquations

function testODE(du,u,p,t)
  du[1:2] = -ones(2,2)*u[1:2]
end

function loss(x)
  u0 = [1.0, 1.0]
  tspan = (0.0,1.0)
  prob = ODEProblem(testODE,u0,tspan,rand(300))
  sim = solve(prob,Tsit5(),saveat=0.1)
  return sum(sim[end])
end

x = [1.0]

display(loss(x))

gradient(x -> loss(x),x)  

When I run this code (in Visual Studio Code) the REPL crashes while evaluating the gradient with the following error message:

The terminal process “C:\Users\eric-\AppData\Local\Programs\Julia-1.7.1\bin\julia.exe ‘-i’, ‘–banner=no’, ‘–project=C:\Users\eric-.julia\environments\v1.7’, ‘c:\Users\eric-.vscode\extensions\julialang.language-julia-1.5.10\scripts\terminalserver\terminalserver.jl’, ‘\.\pipe\vsc-jl-repl-eab064eb-17b5-44b3-9c65-518b53d97dea’, ‘\.\pipe\vsc-jl-cr-a566239a-d20f-437a-b12d-f78838a9b01a’, ‘USE_REVISE=true’, ‘USE_PLOTPANE=true’, ‘USE_PROGRESS=true’, ‘DEBUG_MODE=false’” terminated with exit code: 3.

However, if I define the testODE function as:

function testODE(du,u,p,t)
  du[1] = -1.0*u[1] - 1.0*u[2]
  du[2] = -1.0*u[1] - 1.0*u[2]
end

everything works as expected. In both cases the loss function is evaluated correctly. Can someone explain to me why this happens?

Thanks in advance!
Eric

You need to use du[1:2] .= -ones(2,2)*u[1:2]. Otherwise you aren’t modifying du.

Thank you for your reply. The error however still occurs.

Some additional information:
Apparently the problem has nothing to do with Visual Studio code, it also appears if I am starting the code from the julia.exe.
Furthermore a lot of text rushes through the terminal before the crash.

Have I missed something or is loss both independent of the input x and itself random? Additionally, for the ODE which ‘works’, it produces (nothing,) which seems odd? Sorry since that doesn’t answer the question at hand but it’s confusing and might be helpful if clarified?

Yes the loss function is independent of x and therefore the gradient (in the “working” example) produces the expected solution which is (nothing,), i.e. zero.

The random ODE parameters are an artifact from another minimal working example where the same error as described above appeared for a large number of ODE-parameters and did not appear for a low number of ODE-parameters.

I modified the MWE. The following code works out fine

using DiffEqFlux, DifferentialEquations

function testODE(du,u,p,t)
  du[1:2] = -p[1]*ones(2,2)*u[1:2]
end

function loss(x)
  u0 = [1.0, 1.0]
  tspan = (0.0,1.0)
  prob = ODEProblem(testODE,u0,tspan,ones(1))
  sim = solve(prob,Tsit5(),saveat=0.1)
  return sum(sim[end])
end

x = [1.0]

display(loss(x))

gradient(x -> loss(x),x)  

When I change the number of ODE-parameters the same error as described above appears and again I do not understand why:

using DiffEqFlux, DifferentialEquations

function testODE(du,u,p,t)
  du[1:2] = -p[1]*ones(2,2)*u[1:2]
end

function loss(x)
  u0 = [1.0, 1.0]
  tspan = (0.0,1.0)
  prob = ODEProblem(testODE,u0,tspan,ones(300))
  sim = solve(prob,Tsit5(),saveat=0.1)
  return sum(sim[end])
end

x = [1.0]

display(loss(x))

gradient(x -> loss(x),x)  

This is again just a stupid example but for my actual problem I need the high number of ODE-parameters.

Share your manifest.

Do you mean the contents of Manifest.toml? That would be the following:

# This file is machine-generated - editing it directly is not advised

julia_version = "1.7.1"
manifest_format = "2.0"

[[deps.AbstractFFTs]]
deps = ["ChainRulesCore", "LinearAlgebra"]
git-tree-sha1 = "6f1d9bc1c08f9f4a8fa92e3ea3cb50153a1b40d4"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.1.0"

[[deps.AbstractTrees]]
git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.4"

[[deps.Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.3.3"

[[deps.ArgCheck]]
git-tree-sha1 = "dedbbb2ddb876f899585c4ec4433265e3017215a"
uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197"
version = "2.1.0"

[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"

[[deps.ArnoldiMethod]]
deps = ["LinearAlgebra", "Random", "StaticArrays"]
git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae"
uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
version = "0.2.0"

[[deps.ArrayInterface]]
deps = ["Compat", "IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
git-tree-sha1 = "1ee88c4c76caa995a885dc2f22a5d548dfbbc0ba"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "3.2.2"

[[deps.ArrayLayouts]]
deps = ["FillArrays", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "e1ba79094cae97b688fb42d31cbbfd63a69706e4"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "0.7.8"

[[deps.Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[deps.AutoHashEquals]]
git-tree-sha1 = "45bb6705d93be619b81451bb2006b7ee5d4e4453"
uuid = "15f4f7f2-30c1-5605-9d31-71845cf9641f"
version = "0.2.0"

[[deps.AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.0.1"

[[deps.BFloat16s]]
deps = ["LinearAlgebra", "Printf", "Random", "Test"]
git-tree-sha1 = "a598ecb0d717092b5539dbbe890c98bac842b072"
uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
version = "0.2.0"

[[deps.BandedMatrices]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "ce68f8c2162062733f9b4c9e3700d5efc4a8ec47"
uuid = "aae01518-5342-5314-be14-df237901396f"
version = "0.16.11"

[[deps.BangBang]]
deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"]
git-tree-sha1 = "a33794b483965bf49deaeec110378640609062b1"
uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
version = "0.3.34"

[[deps.Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[deps.Baselet]]
git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e"
uuid = "9718e550-a3fa-408a-8086-8db961cd8217"
version = "0.1.1"

[[deps.BenchmarkTools]]
deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
git-tree-sha1 = "940001114a0147b6e4d10624276d56d531dd9b49"
uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
version = "1.2.2"

[[deps.Bijections]]
git-tree-sha1 = "705e7822597b432ebe152baa844b49f8026df090"
uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
version = "0.1.3"

[[deps.BitTwiddlingConvenienceFunctions]]
deps = ["Static"]
git-tree-sha1 = "bc1317f71de8dce26ea67fcdf7eccc0d0693b75b"
uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
version = "0.1.1"

[[deps.BlockArrays]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra"]
git-tree-sha1 = "5524e27323cf4c4505699c3fb008c3f772269945"
uuid = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
version = "0.16.9"

[[deps.BlockBandedMatrices]]
deps = ["ArrayLayouts", "BandedMatrices", "BlockArrays", "FillArrays", "LinearAlgebra", "MatrixFactorizations", "SparseArrays", "Statistics"]
git-tree-sha1 = "b1db5b5daca19070297580e1c5b5095e7ada6792"
uuid = "ffab5731-97b5-5995-9138-79e8c1846df0"
version = "0.11.1"

[[deps.Blosc]]
deps = ["Blosc_jll"]
git-tree-sha1 = "575bdd70552dd9a7eaeba08ef2533226cdc50779"
uuid = "a74b3585-a348-5f62-a45c-50e91977d574"
version = "0.7.2"

[[deps.Blosc_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Lz4_jll", "Pkg", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "91d6baa911283650df649d0aea7c28639273ae7b"
uuid = "0b7ba130-8d10-5ba8-a3d6-c5182647fed9"
version = "1.21.1+0"

[[deps.BoundaryValueDiffEq]]
deps = ["BandedMatrices", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "NLsolve", "Reexport", "SparseArrays"]
git-tree-sha1 = "fe34902ac0c3a35d016617ab7032742865756d7d"
uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
version = "2.7.1"

[[deps.BufferedStreams]]
deps = ["Compat", "Test"]
git-tree-sha1 = "5d55b9486590fdda5905c275bb21ce1f0754020f"
uuid = "e1450e63-4bb3-523b-b2a4-4ffa8c0fd77d"
version = "1.0.0"

[[deps.Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+0"

[[deps.CEnum]]
git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.1"

[[deps.CPUSummary]]
deps = ["Hwloc", "IfElse", "Static"]
git-tree-sha1 = "87b0c9c6ee0124d6c1f4ce8cb035dcaf9f90b803"
uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
version = "0.1.6"

[[deps.CSTParser]]
deps = ["Tokenize"]
git-tree-sha1 = "f9a6389348207faf5e5c62cbc7e89d19688d338a"
uuid = "00ebfdb7-1f24-5e51-bd34-a7502290713f"
version = "3.3.0"

[[deps.CSV]]
deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "SentinelArrays", "Tables", "Unicode", "WeakRefStrings"]
git-tree-sha1 = "fbee070c56e0096dac13067eca8181ec148468e1"
uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
version = "0.10.1"

[[deps.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 = "5bd05cd090588389201f7e1c703d50ace07be861"
uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
version = "3.6.4"

[[deps.CUDAKernels]]
deps = ["Adapt", "CUDA", "Cassette", "KernelAbstractions", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "8015dde91ccb5c46a1c89e5612821c214988213c"
uuid = "72cfdca4-0801-4ab0-bf6a-d52aa10adc57"
version = "0.2.1"

[[deps.Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.16.1+1"

[[deps.Calculus]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
version = "0.5.1"

[[deps.Cassette]]
git-tree-sha1 = "6ce3cd755d4130d43bab24ea5181e77b89b51839"
uuid = "7057c7e9-c182-5462-911a-8362d720325c"
version = "0.3.9"

[[deps.ChainRules]]
deps = ["ChainRulesCore", "Compat", "LinearAlgebra", "Random", "RealDot", "Statistics"]
git-tree-sha1 = "99fca0288737240171ca1d9b8645a269c357d7c4"
uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
version = "1.20.0"

[[deps.ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "6e39c91fb4b84dcb870813c91674bdebb9145895"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.11.5"

[[deps.ChangesOfVariables]]
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
git-tree-sha1 = "bf98fa45a0a4cee295de98d4c1462be26345b9a1"
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
version = "0.1.2"

[[deps.CloseOpenIntervals]]
deps = ["ArrayInterface", "Static"]
git-tree-sha1 = "7b8f09d58294dc8aa13d91a8544b37c8a1dcbc06"
uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
version = "0.1.4"

[[deps.CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.0"

[[deps.ColorSchemes]]
deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
git-tree-sha1 = "6b6f04f93710c71550ec7e16b650c1b9a612d0b6"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.16.0"

[[deps.ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.0"

[[deps.Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.8"

[[deps.Combinatorics]]
git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
version = "1.0.2"

[[deps.CommonMark]]
deps = ["Crayons", "JSON", "URIs"]
git-tree-sha1 = "4aff51293dbdbd268df314827b7f409ea57f5b70"
uuid = "a80b9123-70ca-4bc0-993e-6e3bcb318db6"
version = "0.8.5"

[[deps.CommonSolve]]
git-tree-sha1 = "68a0743f578349ada8bc911a5cbd5a2ef6ed6d1f"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.0"

[[deps.CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"

[[deps.Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "44c37b4636bc54afac5c574d2d02b625349d6582"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.41.0"

[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"

[[deps.CompositeTypes]]
git-tree-sha1 = "d5b014b216dc891e81fea299638e4c10c657b582"
uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
version = "0.1.2"

[[deps.CompositionsBase]]
git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769"
uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
version = "0.1.1"

[[deps.ConsoleProgressMonitor]]
deps = ["Logging", "ProgressMeter"]
git-tree-sha1 = "3ab7b2136722890b9af903859afcf457fa3059e8"
uuid = "88cd18e8-d9cc-4ea6-8889-5259c0d15c8b"
version = "0.1.2"

[[deps.ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f74e9d5388b8620b4cee35d4c5a618dd4dc547f4"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.3.0"

[[deps.Contour]]
deps = ["StaticArrays"]
git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.7"

[[deps.Crayons]]
git-tree-sha1 = "b618084b49e78985ffa8422f32b9838e397b9fc2"
uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
version = "4.1.0"

[[deps.DEDataArrays]]
deps = ["ArrayInterface", "DocStringExtensions", "LinearAlgebra", "RecursiveArrayTools", "SciMLBase", "StaticArrays"]
git-tree-sha1 = "31186e61936fbbccb41d809ad4338c9f7addf7ae"
uuid = "754358af-613d-5f8d-9788-280bf1605d4c"
version = "0.2.0"

[[deps.DataAPI]]
git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.9.0"

[[deps.DataFrames]]
deps = ["Compat", "DataAPI", "Future", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Reexport", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
git-tree-sha1 = "cfdfef912b7f93e4b848e80b9befdf9e331bc05a"
uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
version = "1.3.1"

[[deps.DataInterpolations]]
deps = ["ChainRulesCore", "LinearAlgebra", "Optim", "RecipesBase", "RecursiveArrayTools", "Reexport", "RegularizationTools", "Symbolics"]
git-tree-sha1 = "cb2e29b3361e3b5b503c34c33965abc3209c1007"
uuid = "82cc6244-b520-54b8-b5a6-8a565e85f1d0"
version = "3.8.0"

[[deps.DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "3daef5523dd2e769dad2365274f760ff5f282c7d"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.11"

[[deps.DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[deps.Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[deps.DefineSingletons]]
git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
version = "0.1.2"

[[deps.DelayDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "NonlinearSolve", "OrdinaryDiffEq", "Printf", "RecursiveArrayTools", "Reexport", "UnPack"]
git-tree-sha1 = "fd0ef97b21b6eea22a917ada02ebe38a85e08197"
uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
version = "5.33.0"

[[deps.DelimitedFiles]]
deps = ["Mmap"]
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"

[[deps.DiffEqBase]]
deps = ["ArrayInterface", "ChainRulesCore", "DEDataArrays", "DataStructures", "Distributions", "DocStringExtensions", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "IterativeSolvers", "LabelledArrays", "LinearAlgebra", "Logging", "MuladdMacro", "NonlinearSolve", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "StaticArrays", "Statistics", "SuiteSparse", "ZygoteRules"]
git-tree-sha1 = "15e43e11701b8c0b6250d7996b5768751f5a10c2"
uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
version = "6.81.0"

[[deps.DiffEqCallbacks]]
deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NLsolve", "OrdinaryDiffEq", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArrays"]
git-tree-sha1 = "e57ecaf9f7875714c164ccca3c802711589127cf"
uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
version = "2.20.1"

[[deps.DiffEqFlux]]
deps = ["Adapt", "Cassette", "ConsoleProgressMonitor", "DataInterpolations", "DiffEqBase", "DiffEqSensitivity", "DiffResults", "Distributions", "DistributionsAD", "Flux", "ForwardDiff", "GalacticOptim", "LinearAlgebra", "Logging", "LoggingExtras", "Optim", "Printf", "ProgressLogging", "Random", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "StaticArrays", "TerminalLoggers", "Zygote", "ZygoteRules"]
git-tree-sha1 = "ba9461d8ac2bb61a41166b64ec8ab2125f051121"
uuid = "aae7a2af-3d4f-5e19-a356-7da93b79d9d0"
version = "1.44.1"

[[deps.DiffEqGPU]]
deps = ["CUDA", "CUDAKernels", "ChainRulesCore", "DiffEqBase", "Distributed", "DocStringExtensions", "ForwardDiff", "KernelAbstractions", "LinearAlgebra", "RecursiveArrayTools", "SciMLBase", "ZygoteRules"]
git-tree-sha1 = "516493af06475a7fb80a7505395c3bca590caa1b"
uuid = "071ae1c0-96b5-11e9-1965-c90190d839ea"
version = "1.15.0"

[[deps.DiffEqJump]]
deps = ["ArrayInterface", "Compat", "DataStructures", "DiffEqBase", "FunctionWrappers", "Graphs", "LinearAlgebra", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "StaticArrays", "TreeViews", "UnPack"]
git-tree-sha1 = "628ddc7e2b44e214232e747b22f1a1d9a8f14467"
uuid = "c894b116-72e5-5b58-be3c-e6d8d4ac2b12"
version = "8.1.0"

[[deps.DiffEqNoiseProcess]]
deps = ["DiffEqBase", "Distributions", "LinearAlgebra", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "Requires", "ResettableStacks", "SciMLBase", "StaticArrays", "Statistics"]
git-tree-sha1 = "d6839a44a268c69ef0ed927b22a6f43c8a4c2e73"
uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
version = "5.9.0"

[[deps.DiffEqOperators]]
deps = ["BandedMatrices", "BlockBandedMatrices", "DiffEqBase", "DomainSets", "ForwardDiff", "LazyArrays", "LazyBandedMatrices", "LinearAlgebra", "LoopVectorization", "NNlib", "NonlinearSolve", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrays", "SuiteSparse"]
git-tree-sha1 = "8e7e2b9da87481294bcfcb7c7cf9e46832f843d7"
uuid = "9fdde737-9c7f-55bf-ade8-46b3f136cc48"
version = "4.38.0"

[[deps.DiffEqSensitivity]]
deps = ["Adapt", "ArrayInterface", "Cassette", "ChainRulesCore", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "DiffEqOperators", "DiffRules", "Distributions", "Enzyme", "FFTW", "FiniteDiff", "ForwardDiff", "GlobalSensitivity", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEq", "Parameters", "QuadGK", "QuasiMonteCarlo", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "Requires", "ReverseDiff", "SciMLBase", "SharedArrays", "Statistics", "StochasticDiffEq", "Tracker", "Zygote", "ZygoteRules"]
git-tree-sha1 = "ac5ada65745373acfd361efda5249ddfcfa753fd"
uuid = "41bf760c-e81c-5289-8e54-58b1f1f8abe2"
version = "6.68.0"

[[deps.DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.3"

[[deps.DiffRules]]
deps = ["LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "9bc5dac3c8b6706b58ad5ce24cffd9861f07c94f"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.9.0"

[[deps.DifferentialEquations]]
deps = ["BoundaryValueDiffEq", "DelayDiffEq", "DiffEqBase", "DiffEqCallbacks", "DiffEqJump", "DiffEqNoiseProcess", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEq", "Random", "RecursiveArrayTools", "Reexport", "SteadyStateDiffEq", "StochasticDiffEq", "Sundials"]
git-tree-sha1 = "3f3db9365fedd5fdbecebc3cce86dfdfe5c43c50"
uuid = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
version = "7.1.0"

[[deps.Distances]]
deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04"
uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
version = "0.10.7"

[[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 = "08f8555cb66936b871dcfdad09a4f89e754181db"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.40"

[[deps.DistributionsAD]]
deps = ["Adapt", "ChainRules", "ChainRulesCore", "Compat", "DiffRules", "Distributions", "FillArrays", "LinearAlgebra", "NaNMath", "PDMats", "Random", "Requires", "SpecialFunctions", "StaticArrays", "StatsBase", "StatsFuns", "ZygoteRules"]
git-tree-sha1 = "a7a18f2cd294ea6268a27877609e03dda38a1c1f"
uuid = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
version = "0.6.35"

[[deps.DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.6"

[[deps.DomainSets]]
deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "StaticArrays", "Statistics"]
git-tree-sha1 = "5f5f0b750ac576bcf2ab1d7782959894b304923e"
uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
version = "0.5.9"

[[deps.Downloads]]
deps = ["ArgTools", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"

[[deps.DynamicPolynomials]]
deps = ["DataStructures", "Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Pkg", "Reexport", "Test"]
git-tree-sha1 = "585de0d658506cf0fe5808026edff662bef5bf03"
uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
version = "0.4.1"

[[deps.EarCut_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
version = "2.2.3+0"

[[deps.EllipsisNotation]]
deps = ["ArrayInterface"]
git-tree-sha1 = "d7ab55febfd0907b285fbf8dc0c73c0825d9d6aa"
uuid = "da5c29d0-fa7d-589e-88eb-ea29b0a81949"
version = "1.3.0"

[[deps.Enzyme]]
deps = ["Adapt", "CEnum", "Enzyme_jll", "GPUCompiler", "LLVM", "Libdl", "ObjectFile", "Test"]
git-tree-sha1 = "c5d455d2fab34d138e891b77f2303af977205024"
uuid = "7da242da-08ed-463a-9acd-ee780be4f1d9"
version = "0.8.1"

[[deps.Enzyme_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c15f7c12a894b5bc85d5a37866f9d0ab46a692ae"
uuid = "7cc45869-7501-5eee-bdea-0790c847d4ef"
version = "0.0.26+1"

[[deps.Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b3bfd02e98aedfa5cf885665493c5598c350cd2f"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.2.10+0"

[[deps.ExponentialUtilities]]
deps = ["ArrayInterface", "LinearAlgebra", "Printf", "Requires", "SparseArrays"]
git-tree-sha1 = "3e1289d9a6a54791c1ee60da0850f4fd71188da6"
uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
version = "1.11.0"

[[deps.ExprTools]]
git-tree-sha1 = "24565044e60bc48a7562e75bcf14f084901dc0b6"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.7"

[[deps.FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[deps.FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.0+0"

[[deps.FFTW]]
deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
git-tree-sha1 = "463cb335fa22c4ebacfd1faba5fde14edb80d96c"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.4.5"

[[deps.FFTW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
version = "3.3.10+0"

[[deps.FastBroadcast]]
deps = ["LinearAlgebra", "Polyester", "Static"]
git-tree-sha1 = "0f8ef5dcb040dbb9edd98b1763ac10882ee1ff03"
uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
version = "0.1.12"

[[deps.FastClosures]]
git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
uuid = "9aa1b823-49e4-5ca5-8b0f-3971ec8bab6a"
version = "0.3.2"

[[deps.FilePathsBase]]
deps = ["Compat", "Dates", "Mmap", "Printf", "Test", "UUIDs"]
git-tree-sha1 = "04d13bfa8ef11720c24e4d840c0033d145537df7"
uuid = "48062228-2e41-5def-b9a4-89aafe57970f"
version = "0.9.17"

[[deps.FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
git-tree-sha1 = "8756f9935b7ccc9064c6eef0bff0ad643df733a3"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.12.7"

[[deps.FiniteDiff]]
deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "6eae72e9943d8992d14359c32aed5f892bda1569"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.10.0"

[[deps.FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[deps.Flux]]
deps = ["AbstractTrees", "Adapt", "ArrayInterface", "CUDA", "CodecZlib", "Colors", "DelimitedFiles", "Functors", "Juno", "LinearAlgebra", "MacroTools", "NNlib", "NNlibCUDA", "Pkg", "Printf", "Random", "Reexport", "SHA", "SparseArrays", "Statistics", "StatsBase", "Test", "ZipFile", "Zygote"]
git-tree-sha1 = "e8b37bb43c01eed0418821d1f9d20eca5ba6ab21"
uuid = "587475ba-b771-5e3f-ad9e-33799f191a9c"
version = "0.12.8"

[[deps.Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.93+0"

[[deps.Formatting]]
deps = ["Printf"]
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
version = "0.4.2"

[[deps.ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "2b72a5624e289ee18256111657663721d59c143e"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.24"

[[deps.FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.10.4+0"

[[deps.FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.10+0"

[[deps.FunctionWrappers]]
git-tree-sha1 = "241552bc2209f0fa068b6415b1942cc0aa486bcc"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.2"

[[deps.Functors]]
git-tree-sha1 = "e4768c3b7f597d5a352afa09874d16e3c3f6ead2"
uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
version = "0.2.7"

[[deps.Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[deps.GLFW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
git-tree-sha1 = "0c603255764a1fa0b61752d2bec14cfbd18f7fe8"
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
version = "3.3.5+1"

[[deps.GPUArrays]]
deps = ["Adapt", "LinearAlgebra", "Printf", "Random", "Serialization", "Statistics"]
git-tree-sha1 = "d9681e61fbce7dde48684b40bdb1a319c4083be7"
uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
version = "8.1.3"

[[deps.GPUCompiler]]
deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
git-tree-sha1 = "2cac236070c2c4b36de54ae9146b55ee2c34ac7a"
uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
version = "0.13.10"

[[deps.GR]]
deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Printf", "Random", "RelocatableFolders", "Serialization", "Sockets", "Test", "UUIDs"]
git-tree-sha1 = "4a740db447aae0fbeb3ee730de1afbb14ac798a1"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.63.1"

[[deps.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 = "aa22e1ee9e722f1da183eb33370df4c1aeb6c2cd"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.63.1+0"

[[deps.GalacticOptim]]
deps = ["ArrayInterface", "ConsoleProgressMonitor", "DiffResults", "DocStringExtensions", "Logging", "LoggingExtras", "Pkg", "Printf", "ProgressLogging", "Reexport", "Requires", "SciMLBase", "TerminalLoggers"]
git-tree-sha1 = "e15a7020d538887c65a8584804b218fc768091cd"
uuid = "a75be94c-b780-496d-a8a9-0878b188d577"
version = "2.3.1"

[[deps.GeometryBasics]]
deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
git-tree-sha1 = "58bcdf5ebc057b085e58d95c138725628dd7453c"
uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
version = "0.4.1"

[[deps.Gettext_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.21.0+0"

[[deps.Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "a32d672ac2c967f3deb8a81d828afc739c838a06"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.68.3+2"

[[deps.GlobalSensitivity]]
deps = ["Distributions", "FFTW", "ForwardDiff", "KernelDensity", "LinearAlgebra", "Parameters", "QuasiMonteCarlo", "Random", "RecursiveArrayTools", "Statistics", "StatsBase", "Trapz"]
git-tree-sha1 = "a225079f5f3ddd510e41639e12d247a60e1d10ca"
uuid = "af5da776-676b-467e-8baf-acd8249e4f0f"
version = "1.3.0"

[[deps.Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[deps.Graphs]]
deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
git-tree-sha1 = "d727758173afef0af878b29ac364a0eca299fc6b"
uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
version = "1.5.1"

[[deps.Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[deps.HDF5]]
deps = ["Blosc", "Compat", "HDF5_jll", "Libdl", "Mmap", "Random", "Requires"]
git-tree-sha1 = "698c099c6613d7b7f151832868728f426abe698b"
uuid = "f67ccb44-e63f-5c2f-98bd-6dc0ccc4ba2f"
version = "0.15.7"

[[deps.HDF5_jll]]
deps = ["Artifacts", "JLLWrappers", "LibCURL_jll", "Libdl", "OpenSSL_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "bab67c0d1c4662d2c4be8c6007751b0b6111de5c"
uuid = "0234f1f7-429e-5d53-9886-15a909be8d59"
version = "1.12.1+0"

[[deps.HTTP]]
deps = ["Base64", "Dates", "IniFile", "Logging", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
git-tree-sha1 = "0fa77022fe4b511826b39c894c90daf5fce3334a"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "0.9.17"

[[deps.HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "2.8.1+1"

[[deps.HostCPUFeatures]]
deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
git-tree-sha1 = "8f0dc80088981ab55702b04bba38097a44a1a3a9"
uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
version = "0.1.5"

[[deps.Hwloc]]
deps = ["Hwloc_jll"]
git-tree-sha1 = "92d99146066c5c6888d5a3abc871e6a214388b91"
uuid = "0e44f5e4-bd66-52a0-8798-143a42290a1d"
version = "2.0.0"

[[deps.Hwloc_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "d8bccde6fc8300703673ef9e1383b11403ac1313"
uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
version = "2.7.0+0"

[[deps.IRTools]]
deps = ["InteractiveUtils", "MacroTools", "Test"]
git-tree-sha1 = "006127162a51f0effbdfaab5ac0c83f8eb7ea8f3"
uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
version = "0.4.4"

[[deps.IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"

[[deps.Inflate]]
git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
version = "0.1.2"

Since it is quite big, in three parts

[[deps.IniFile]]
deps = ["Test"]
git-tree-sha1 = "098e4d2c533924c921f9f9847274f2ad89e018b8"
uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
version = "0.5.0"

[[deps.InitialValues]]
git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
version = "0.3.1"

[[deps.InlineStrings]]
deps = ["Parsers"]
git-tree-sha1 = "8d70835a3759cdd75881426fced1508bb7b7e1b6"
uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
version = "1.1.1"

[[deps.IntelOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2018.0.3+2"

[[deps.InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[deps.Interpolations]]
deps = ["AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "b15fc0a95c564ca2e0a7ae12c1f095ca848ceb31"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.13.5"

[[deps.IntervalSets]]
deps = ["Dates", "EllipsisNotation", "Statistics"]
git-tree-sha1 = "3cc368af3f110a767ac786560045dceddfc16758"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.5.3"

[[deps.InverseFunctions]]
deps = ["Test"]
git-tree-sha1 = "a7254c0acd8e62f1ac75ad24d5db43f5f19f3c65"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.2"

[[deps.InvertedIndices]]
git-tree-sha1 = "bee5f1ef5bf65df56bdd2e40447590b272a5471f"
uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
version = "1.1.0"

[[deps.IrrationalConstants]]
git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.1.1"

[[deps.IterTools]]
git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.4.0"

[[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"
version = "1.0.0"

[[deps.JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "22df5b96feef82434b07327e2d3c770a9b21e023"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.4.0"

[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.2"

[[deps.JSONRPC]]
deps = ["JSON", "UUIDs"]
git-tree-sha1 = "28f19147ccfcb02e29bd96a14110e032d00be30a"
uuid = "b9b8584e-8fd3-41f9-ad0c-7255d428e418"
version = "1.3.4"

[[deps.JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "d735490ac75c5cb9f1b00d8b5509c11984dc6943"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "2.1.0+0"

[[deps.JuliaFormatter]]
deps = ["CSTParser", "CommonMark", "DataStructures", "Pkg", "Tokenize"]
git-tree-sha1 = "51e6716cc630c157dc5fbd466429c891f5ce6462"
uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
version = "0.20.5"

[[deps.Juno]]
deps = ["Base64", "Logging", "Media", "Profile"]
git-tree-sha1 = "07cb43290a840908a771552911a6274bc6c072c7"
uuid = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
version = "0.8.4"

[[deps.KLU]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
git-tree-sha1 = "1ed18ccf6292d89abf85beba35b9399aeddff9b2"
uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
version = "0.2.3"

[[deps.KernelAbstractions]]
deps = ["Adapt", "Cassette", "InteractiveUtils", "MacroTools", "SpecialFunctions", "StaticArrays", "UUIDs"]
git-tree-sha1 = "7244ffd3549bdfc422162602f27d23b467fa0884"
uuid = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
version = "0.6.3"

[[deps.KernelDensity]]
deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
git-tree-sha1 = "591e8dc09ad18386189610acafb970032c519707"
uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
version = "0.6.3"

[[deps.Krylov]]
deps = ["LinearAlgebra", "Printf", "SparseArrays"]
git-tree-sha1 = "2906bbe840175708e9fc33e5067bdab4bfe42bd2"
uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
version = "0.7.10"

[[deps.KrylovKit]]
deps = ["LinearAlgebra", "Printf"]
git-tree-sha1 = "0328ad9966ae29ccefb4e1b9bfd8c8867e4360df"
uuid = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
version = "0.5.3"

[[deps.LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.1+0"

[[deps.LLVM]]
deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
git-tree-sha1 = "f8dcd7adfda0dddaf944e62476d823164cccc217"
uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
version = "4.7.1"

[[deps.LLVMExtra_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "62115afed394c016c2d3096c5b85c407b48be96b"
uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
version = "0.0.13+1"

[[deps.LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.1+0"

[[deps.LaTeXStrings]]
git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.0"

[[deps.LabelledArrays]]
deps = ["ArrayInterface", "ChainRulesCore", "LinearAlgebra", "MacroTools", "StaticArrays"]
git-tree-sha1 = "41158dee1d434944570b02547d404e075da15690"
uuid = "2ee39098-c373-598a-b85f-a56591580800"
version = "1.7.0"

[[deps.LanguageServer]]
deps = ["CSTParser", "JSON", "JSONRPC", "JuliaFormatter", "Markdown", "Pkg", "REPL", "StaticLint", "SymbolServer", "Tokenize", "URIParser", "UUIDs"]
git-tree-sha1 = "2bfec241fe54ea47e8068b0fa36ac453c4899ca1"
uuid = "2b0e0bc5-e4fd-59b4-8912-456d1b03d8d7"
version = "4.2.0"

[[deps.Latexify]]
deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
git-tree-sha1 = "a8f4f279b6fa3c3c4f1adadd78a621b13a506bce"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.15.9"

[[deps.LatinHypercubeSampling]]
deps = ["Random", "StableRNGs", "StatsBase", "Test"]
git-tree-sha1 = "42938ab65e9ed3c3029a8d2c58382ca75bdab243"
uuid = "a5e1c1ea-c99a-51d3-a14d-a9a37257b02d"
version = "1.8.0"

[[deps.LatticeRules]]
deps = ["Random"]
git-tree-sha1 = "7f5b02258a3ca0221a6a9710b0a0a2e8fb4957fe"
uuid = "73f95e8e-ec14-4e6a-8b18-0d2e271c4e55"
version = "0.0.1"

[[deps.LayoutPointers]]
deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static"]
git-tree-sha1 = "83b56449c39342a47f3fcdb3bc782bd6d66e1d97"
uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
version = "0.1.4"

[[deps.Lazy]]
deps = ["MacroTools"]
git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0"
version = "0.15.1"

[[deps.LazyArrays]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "MatrixFactorizations", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "6dfb5dc9426e0cb7e237a71aa78c6b8c3e78a7fc"
uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
version = "0.22.4"

[[deps.LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"

[[deps.LazyBandedMatrices]]
deps = ["ArrayLayouts", "BandedMatrices", "BlockArrays", "BlockBandedMatrices", "FillArrays", "LazyArrays", "LinearAlgebra", "MatrixFactorizations", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "8f4c427f6b505294dfefd343c8373b8c74e09973"
uuid = "d7e5e226-e90b-4449-9968-0f923699bf6f"
version = "0.7.6"

[[deps.LeastSquaresOptim]]
deps = ["FiniteDiff", "ForwardDiff", "LinearAlgebra", "Optim", "Printf", "SparseArrays", "Statistics", "SuiteSparse"]
git-tree-sha1 = "06ea4a7c438f434dc0dc8d03c72e61ee0bf3629d"
uuid = "0fc2ff8b-aaa3-5acd-a817-1944a5e08891"
version = "0.8.3"

[[deps.LeftChildRightSiblingTrees]]
deps = ["AbstractTrees"]
git-tree-sha1 = "b864cb409e8e445688bc478ef87c0afe4f6d1f8d"
uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
version = "0.1.3"

[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"

[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"

[[deps.LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"

[[deps.Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[deps.Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+1"

[[deps.Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.7+0"

[[deps.Libglvnd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
version = "1.3.0+3"

[[deps.Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.42.0+0"

[[deps.Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.1+1"

[[deps.Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.35.0+0"

[[deps.Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "340e257aada13f95f98ee352d316c3bed37c8ab9"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.3.0+0"

[[deps.Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.36.0+0"

[[deps.LineSearches]]
deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
git-tree-sha1 = "f27132e551e959b3667d8c93eae90973225032dd"
uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
version = "7.1.1"

[[deps.LinearAlgebra]]
deps = ["Libdl", "libblastrampoline_jll"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[deps.LinearSolve]]
deps = ["ArrayInterface", "DocStringExtensions", "IterativeSolvers", "KLU", "Krylov", "KrylovKit", "LinearAlgebra", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "SuiteSparse", "UnPack"]
git-tree-sha1 = "839ea3d50963484c6ce6b7249c53fc5cf66767fb"
uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
version = "1.6.0"

[[deps.LogExpFunctions]]
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "e5718a00af0ab9756305a0392832c8952c7426c1"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.6"

[[deps.Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[deps.LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "dfeda1c1130990428720de0024d4516b1902ce98"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "0.4.7"

[[deps.LoopVectorization]]
deps = ["ArrayInterface", "CPUSummary", "ChainRulesCore", "CloseOpenIntervals", "DocStringExtensions", "ForwardDiff", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "SIMDDualNumbers", "SLEEFPirates", "SpecialFunctions", "Static", "ThreadingUtilities", "UnPack", "VectorizationBase"]
git-tree-sha1 = "67c0dfeae307972b50009ce220aae5684ea852d1"
uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
version = "0.12.101"

[[deps.Lz4_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "5d494bc6e85c4c9b626ee0cab05daa4085486ab1"
uuid = "5ced341a-0733-55b8-9ab6-a4889d929147"
version = "1.9.3+0"

[[deps.MAT]]
deps = ["BufferedStreams", "CodecZlib", "HDF5", "SparseArrays"]
git-tree-sha1 = "37d418e2f20f0fcdc78214f763f1066b74ca1e1b"
uuid = "23992714-dd62-5051-b70f-ba57cb901cac"
version = "0.10.2"

[[deps.MKL_jll]]
deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
git-tree-sha1 = "5455aef09b40e5020e1520f551fa3135040d4ed0"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2021.1.1+2"

[[deps.MLStyle]]
git-tree-sha1 = "594e189325f66e23a8818e5beb11c43bb0141bcd"
uuid = "d8e11817-5142-5d16-987a-aa16d5891078"
version = "0.4.10"

[[deps.MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.9"

[[deps.ManualMemory]]
git-tree-sha1 = "9cb207b18148b2199db259adfa923b45593fe08e"
uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
version = "0.1.6"

[[deps.Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[deps.MatrixFactorizations]]
deps = ["ArrayLayouts", "LinearAlgebra", "Printf", "Random"]
git-tree-sha1 = "1a0358d0283b84c3ccf9537843e3583c3b896c59"
uuid = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
version = "0.8.5"

[[deps.MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
git-tree-sha1 = "1c38e51c3d08ef2278062ebceade0e46cefc96fe"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.0.3"

[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"

[[deps.Measures]]
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.1"

[[deps.Media]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "75a54abd10709c01f1b86b84ec225d26e840ed58"
uuid = "e89f7d12-3494-54d1-8411-f7d8b9ae1f27"
version = "0.5.0"

[[deps.Memoize]]
deps = ["MacroTools"]
git-tree-sha1 = "2b1dfcba103de714d31c033b5dacc2e4a12c7caa"
uuid = "c03570c3-d221-55d1-a50c-7939bbd78826"
version = "0.4.4"

[[deps.Metatheory]]
deps = ["AutoHashEquals", "DataStructures", "Dates", "DocStringExtensions", "Parameters", "Reexport", "TermInterface", "ThreadsX", "TimerOutputs"]
git-tree-sha1 = "0886d229caaa09e9f56bcf1991470bd49758a69f"
uuid = "e9d8d322-4543-424a-9be4-0cc815abe26c"
version = "1.3.3"

[[deps.MicroCollections]]
deps = ["BangBang", "InitialValues", "Setfield"]
git-tree-sha1 = "6bb7786e4f24d44b4e29df03c69add1b63d88f01"
uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
version = "0.1.2"

[[deps.Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.0.2"

[[deps.Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"

[[deps.MuladdMacro]]
git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
version = "0.2.2"

[[deps.MultivariatePolynomials]]
deps = ["DataStructures", "LinearAlgebra", "MutableArithmetics"]
git-tree-sha1 = "fa6ce8c91445e7cd54de662064090b14b1089a6d"
uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
version = "0.4.2"

[[deps.MutableArithmetics]]
deps = ["LinearAlgebra", "SparseArrays", "Test"]
git-tree-sha1 = "73deac2cbae0820f43971fad6c08f6c4f2784ff2"
uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
version = "0.3.2"

[[deps.NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "50310f934e55e5ca3912fb941dec199b49ca9b68"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.8.2"

[[deps.NLsolve]]
deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "019f12e9a1a7880459d0173c182e6a99365d7ac1"
uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
version = "4.5.1"

[[deps.NNlib]]
deps = ["Adapt", "ChainRulesCore", "Compat", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
git-tree-sha1 = "9a9e8947f96640d089c4e8696882c211325061c4"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.7.33"

[[deps.NNlibCUDA]]
deps = ["CUDA", "LinearAlgebra", "NNlib", "Random", "Statistics"]
git-tree-sha1 = "a2dc748c9f6615197b6b97c10bcce829830574c9"
uuid = "a00861dc-f156-4864-bf3c-e6376f28a68d"
version = "0.1.11"

[[deps.NaNMath]]
git-tree-sha1 = "f755f36b19a5116bb580de457cda0c140153f283"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.6"

[[deps.NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"

[[deps.NonlinearSolve]]
deps = ["ArrayInterface", "FiniteDiff", "ForwardDiff", "IterativeSolvers", "LinearAlgebra", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "UnPack"]
git-tree-sha1 = "200321809e94ba9eb70e7d7c3de8a7a6679a18b3"
uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
version = "0.3.13"

[[deps.ObjectFile]]
deps = ["Reexport", "StructIO"]
git-tree-sha1 = "55ce61d43409b1fb0279d1781bf3b0f22c83ab3b"
uuid = "d8793406-e978-5875-9003-1fc021f44a92"
version = "0.3.7"

[[deps.OffsetArrays]]
deps = ["Adapt"]
git-tree-sha1 = "043017e0bdeff61cfbb7afeb558ab29536bbb5ed"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.10.8"

[[deps.Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+1"

[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"

[[deps.OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"

[[deps.OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "648107615c15d4e09f7eca16307bc821c1f718d8"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.13+0"

[[deps.OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[deps.Optim]]
deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
git-tree-sha1 = "916077e0f0f8966eb0dc98a5c39921fdb8f49eb4"
uuid = "429524aa-4258-5aef-a3af-852621145aeb"
version = "1.6.0"

[[deps.Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.2+0"

[[deps.OrderedCollections]]
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.1"

[[deps.OrdinaryDiffEq]]
deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "Polyester", "PreallocationTools", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "f10323023a0fc017c07de2a6d1b4604cace7f345"
uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
version = "6.4.1"

[[deps.PCRE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
version = "8.44.0+0"

[[deps.PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "ee26b350276c51697c9c2d88a072b339f9f03d73"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.5"

[[deps.Parameters]]
deps = ["OrderedCollections", "UnPack"]
git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
version = "0.12.3"

[[deps.Parsers]]
deps = ["Dates"]
git-tree-sha1 = "92f91ba9e5941fc781fecf5494ac1da87bdac775"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.2.0"

[[deps.Pixman_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.40.1+0"

[[deps.Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[deps.PlotThemes]]
deps = ["PlotUtils", "Requires", "Statistics"]
git-tree-sha1 = "a3a964ce9dc7898193536002a6dd892b1b5a6f1d"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "2.0.1"

[[deps.PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "68604313ed59f0408313228ba09e79252e4b2da8"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.1.2"

[[deps.PlotlyBase]]
deps = ["ColorSchemes", "Dates", "DelimitedFiles", "DocStringExtensions", "JSON", "LaTeXStrings", "Logging", "Parameters", "Pkg", "REPL", "Requires", "Statistics", "UUIDs"]
git-tree-sha1 = "180d744848ba316a3d0fdf4dbd34b77c7242963a"
uuid = "a03496cd-edff-5a9b-9e67-9cda94a718b5"
version = "0.8.18"

[[deps.Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
git-tree-sha1 = "db7393a80d0e5bef70f2b518990835541917a544"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.25.6"

[[deps.PoissonRandom]]
deps = ["Random", "Statistics", "Test"]
git-tree-sha1 = "44d018211a56626288b5d3f8c6497d28c26dc850"
uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
version = "0.4.0"

[[deps.Polyester]]
deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StrideArraysCore", "ThreadingUtilities"]
git-tree-sha1 = "3c44fc250c04352839cea8d5b9d94bcb7b3de420"
uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
version = "0.6.2"

[[deps.PolyesterWeave]]
deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
git-tree-sha1 = "a3ff99bf561183ee20386aec98ab8f4a12dc724a"
uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
version = "0.1.2"

[[deps.PooledArrays]]
deps = ["DataAPI", "Future"]
git-tree-sha1 = "db3a23166af8aebf4db5ef87ac5b00d36eb771e2"
uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
version = "1.4.0"

[[deps.PositiveFactorizations]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
version = "0.2.4"

[[deps.PreallocationTools]]
deps = ["Adapt", "ArrayInterface", "ForwardDiff", "LabelledArrays"]
git-tree-sha1 = "e4cb8d4a2edf9b3804c1fb2c2de57d634ff3f36e"
uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
version = "0.2.3"

[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "2cf929d64681236a2e074ffafb8d568733d2e6af"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.2.3"

[[deps.PrettyTables]]
deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"]
git-tree-sha1 = "dfb54c4e414caa595a1f2ed759b160f5a3ddcba5"
uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
version = "1.3.1"

[[deps.Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[deps.Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"

[[deps.ProgressLogging]]
deps = ["Logging", "SHA", "UUIDs"]
git-tree-sha1 = "80d919dee55b9c50e8d9e2da5eeafff3fe58b539"
uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
version = "0.1.4"

[[deps.ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "afadeba63d90ff223a6a48d2009434ecee2ec9e8"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.7.1"

[[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"]
git-tree-sha1 = "ad368663a5e20dbb8d6dc2fddeefe4dae0781ae8"
uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
version = "5.15.3+0"

[[deps.QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.4.2"

[[deps.QuasiMonteCarlo]]
deps = ["Distributions", "LatinHypercubeSampling", "LatticeRules", "Sobol"]
git-tree-sha1 = "bc69c718a83951dcb999404ff267a7b8c39c1c63"
uuid = "8a4e6c94-4038-4cdc-81c3-7e6ffdb2a71b"
version = "0.2.4"

[[deps.REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[deps.Random]]
deps = ["SHA", "Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[deps.Random123]]
deps = ["Libdl", "Random", "RandomNumbers"]
git-tree-sha1 = "0e8b146557ad1c6deb1367655e052276690e71a3"
uuid = "74087812-796a-5b5d-8853-05524746bad3"
version = "1.4.2"

[[deps.RandomNumbers]]
deps = ["Random", "Requires"]
git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.5.3"

[[deps.Ratios]]
deps = ["Requires"]
git-tree-sha1 = "01d341f502250e81f6fec0afe662aa861392a3aa"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.2"
[[deps.RealDot]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
version = "0.1.0"

[[deps.RecipesBase]]
git-tree-sha1 = "6bf3f380ff52ce0832ddd3a2a7b9538ed1bcca7d"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.2.1"

[[deps.RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase"]
git-tree-sha1 = "37c1631cb3cc36a535105e6d5557864c82cd8c2b"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.5.0"

[[deps.RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterface", "ChainRulesCore", "DocStringExtensions", "FillArrays", "LinearAlgebra", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
git-tree-sha1 = "6b96eb51a22af7e927d9618eaaf135a3520f8e2f"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.24.0"

[[deps.RecursiveFactorization]]
deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "StrideArraysCore", "TriangularSolve"]
git-tree-sha1 = "a6564a98066f512ff2efd438c8f1ce4262d69b87"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.2.7"

[[deps.Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[deps.Referenceables]]
deps = ["Adapt"]
git-tree-sha1 = "e681d3bfa49cd46c3c161505caddf20f0e62aaa9"
uuid = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"
version = "0.1.2"

[[deps.RegularizationTools]]
deps = ["Calculus", "Lazy", "LeastSquaresOptim", "LinearAlgebra", "MLStyle", "Memoize", "Optim", "Random", "Underscores"]
git-tree-sha1 = "ab1d6d815e85c8aa57e27456339931ee02a9ab5f"
uuid = "29dad682-9a27-4bc3-9c72-016788665182"
version = "0.5.3"

[[deps.RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "cdbd3b1338c72ce29d9584fdbe9e9b70eeb5adca"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "0.1.3"

[[deps.Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

[[deps.ResettableStacks]]
deps = ["StaticArrays"]
git-tree-sha1 = "256eeeec186fa7f26f2801732774ccf277f05db9"
uuid = "ae5879a3-cd67-5da8-be7f-38c6eb64a37b"
version = "1.1.1"

[[deps.ReverseDiff]]
deps = ["ChainRulesCore", "DiffResults", "DiffRules", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NaNMath", "Random", "SpecialFunctions", "StaticArrays", "Statistics"]
git-tree-sha1 = "8d85c98fc33d4d37d88c8f9ccee4f1f3f98e56f4"
uuid = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
version = "1.12.0"

[[deps.Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.0"

[[deps.Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.3.0+0"

[[deps.RuntimeGeneratedFunctions]]
deps = ["ExprTools", "SHA", "Serialization"]
git-tree-sha1 = "cdc1e4278e91a6ad530770ebb327f9ed83cf10c4"
uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
version = "0.5.3"

[[deps.SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[deps.SIMDDualNumbers]]
deps = ["ForwardDiff", "IfElse", "SLEEFPirates", "VectorizationBase"]
git-tree-sha1 = "62c2da6eb66de8bb88081d20528647140d4daa0e"
uuid = "3cdde19b-5bb0-4aaf-8931-af3e248e098b"
version = "0.1.0"

[[deps.SIMDTypes]]
git-tree-sha1 = "330289636fb8107c5f32088d2741e9fd7a061a5c"
uuid = "94e857df-77ce-4151-89e5-788b33177be4"
version = "0.1.0"

[[deps.SLEEFPirates]]
deps = ["IfElse", "Static", "VectorizationBase"]
git-tree-sha1 = "1410aad1c6b35862573c01b96cd1f6dbe3979994"
uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
version = "0.6.28"

[[deps.SciMLBase]]
deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "RecipesBase", "RecursiveArrayTools", "StaticArrays", "Statistics", "Tables", "TreeViews"]
git-tree-sha1 = "40c1c606543c0130cd3673f0dd9e11f2b5d76cd0"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "1.26.0"

[[deps.Scratch]]
deps = ["Dates"]
git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.1.0"

[[deps.SentinelArrays]]
deps = ["Dates", "Random"]
git-tree-sha1 = "15dfe6b103c2a993be24404124b8791a09460983"
uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
version = "1.3.11"

[[deps.Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[deps.Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "Requires"]
git-tree-sha1 = "0afd9e6c623e379f593da01f20590bacc26d1d14"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "0.8.1"

[[deps.SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[deps.Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[deps.SimpleTraits]]
deps = ["InteractiveUtils", "MacroTools"]
git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
version = "0.9.4"

[[deps.Sobol]]
deps = ["DelimitedFiles", "Random"]
git-tree-sha1 = "5a74ac22a9daef23705f010f72c81d6925b19df8"
uuid = "ed01d8cd-4d21-5b2a-85b4-cc3bdc58bad4"
version = "1.5.0"

[[deps.Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[deps.SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.0.1"

[[deps.SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[deps.SparseDiffTools]]
deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays", "VertexSafeGraphs"]
git-tree-sha1 = "75c89362201983c500dd34923b015dbecdae7a90"
uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
version = "1.20.0"

[[deps.SpecialFunctions]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "f0bccf98e16759818ffc5d97ac3ebf87eb950150"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "1.8.1"

[[deps.SplittablesBase]]
deps = ["Setfield", "Test"]
git-tree-sha1 = "39c9f91521de844bad65049efd4f9223e7ed43f9"
uuid = "171d559e-b47b-412a-8079-5efa626c420e"
version = "0.1.14"

[[deps.StableRNGs]]
deps = ["Random", "Test"]
git-tree-sha1 = "3be7d49667040add7ee151fefaf1f8c04c8c8276"
uuid = "860ef19b-820b-49d6-a774-d7a799459cd3"
version = "1.0.0"

[[deps.Static]]
deps = ["IfElse"]
git-tree-sha1 = "7f5a513baec6f122401abfc8e9c074fdac54f6c1"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.4.1"

[[deps.StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "2ae4fe21e97cd13efd857462c1869b73c9f61be3"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.3.2"

[[deps.StaticLint]]
deps = ["CSTParser", "Serialization", "SymbolServer"]
git-tree-sha1 = "1152934b19a8a296db95ef6e1d454d4acc2aa79d"
uuid = "b3cc710f-9c33-5bdb-a03d-a94903873e97"
version = "8.1.0"

[[deps.Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[deps.StatsAPI]]
git-tree-sha1 = "d88665adc9bcf45903013af0982e2fd05ae3d0a6"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.2.0"

[[deps.StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "51383f2d367eb3b444c961d485c565e4c0cf4ba0"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.14"

[[deps.StatsFuns]]
deps = ["ChainRulesCore", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "bedb3e17cc1d94ce0e6e66d3afa47157978ba404"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "0.9.14"

[[deps.SteadyStateDiffEq]]
deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport", "SciMLBase"]
git-tree-sha1 = "3e057e1f9f12d18cac32011aed9e61eef6c1c0ce"
uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
version = "1.6.6"

[[deps.StochasticDiffEq]]
deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqJump", "DiffEqNoiseProcess", "DocStringExtensions", "FillArrays", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "5f88440e7470baad99f559eed674a46d2b6b96f7"
uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
version = "6.44.0"

[[deps.StrideArraysCore]]
deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "Requires", "SIMDTypes", "Static", "ThreadingUtilities"]
git-tree-sha1 = "12cf3253ebd8e2a3214ae171fbfe51e7e8d8ad28"
uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
version = "0.2.9"

[[deps.StructArrays]]
deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
git-tree-sha1 = "d21f2c564b21a202f4677c0fba5b5ee431058544"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
version = "0.6.4"

[[deps.StructIO]]
deps = ["Test"]
git-tree-sha1 = "010dc73c7146869c042b49adcdb6bf528c12e859"
uuid = "53d494c1-5632-5724-8f4c-31dff12d585f"
version = "0.3.0"

[[deps.SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"

[[deps.Sundials]]
deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SparseArrays", "Sundials_jll"]
git-tree-sha1 = "ce11202f487f429dbe7f937c40ff54f6a7e7259e"
uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
version = "4.9.1"

[[deps.Sundials_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "OpenBLAS_jll", "Pkg", "SuiteSparse_jll"]
git-tree-sha1 = "04777432d74ec5bc91ca047c9e0e0fd7f81acdb6"
uuid = "fb77eaff-e24c-56d4-86b1-d163f2edb164"
version = "5.2.1+0"

[[deps.SymbolServer]]
deps = ["InteractiveUtils", "LibGit2", "Markdown", "Pkg", "REPL", "SHA", "Serialization", "Sockets", "UUIDs"]
git-tree-sha1 = "a0b766747049e547e4d7ab2c2c41b0b7bdbf70a6"
uuid = "cf896787-08d5-524d-9de7-132aaa0cb996"
version = "7.2.0"

[[deps.SymbolicUtils]]
deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "Metatheory", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "TermInterface", "TimerOutputs"]
git-tree-sha1 = "4f151325f4bb2e59a1b50ffc6e4a3b4c5e6620d8"
uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
version = "0.19.5"

[[deps.Symbolics]]
deps = ["ArrayInterface", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "IfElse", "Latexify", "Libdl", "LinearAlgebra", "MacroTools", "Metatheory", "NaNMath", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TermInterface", "TreeViews"]
git-tree-sha1 = "074e08aea1c745664da5c4b266f50b840e528b1c"
uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
version = "4.3.0"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"

[[deps.TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
git-tree-sha1 = "bb1064c9a84c52e277f1096cf41434b675cd368b"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.6.1"

[[deps.Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

[[deps.TermInterface]]
git-tree-sha1 = "7aa601f12708243987b88d1b453541a75e3d8c7a"
uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
version = "0.2.3"

[[deps.TerminalLoggers]]
deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
git-tree-sha1 = "62846a48a6cd70e63aa29944b8c4ef704360d72f"
uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
version = "0.1.5"

[[deps.Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[deps.ThreadingUtilities]]
deps = ["ManualMemory"]
git-tree-sha1 = "884539ba8c4584a3a8173cb4ee7b61049955b79c"
uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
version = "0.4.7"

[[deps.ThreadsX]]
deps = ["ArgCheck", "BangBang", "ConstructionBase", "InitialValues", "MicroCollections", "Referenceables", "Setfield", "SplittablesBase", "Transducers"]
git-tree-sha1 = "6dad289fe5fc1d8e907fa855135f85fb03c8fa7a"
uuid = "ac1d9e8a-700a-412c-b207-f0111f4b6c0d"
version = "0.1.9"

[[deps.TimerOutputs]]
deps = ["ExprTools", "Printf"]
git-tree-sha1 = "a5aed757f65c8a1c64503bc4035f704d24c749bf"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.14"

[[deps.Tokenize]]
git-tree-sha1 = "0952c9cee34988092d73a5708780b3917166a0dd"
uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
version = "0.5.21"

[[deps.Tracker]]
deps = ["Adapt", "DiffRules", "ForwardDiff", "LinearAlgebra", "MacroTools", "NNlib", "NaNMath", "Printf", "Random", "Requires", "SpecialFunctions", "Statistics"]
git-tree-sha1 = "95dc67d124fc57e348987211b5e8ce2e29a7f8dc"
uuid = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
version = "0.2.17"

[[deps.TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.6"

[[deps.Transducers]]
deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
git-tree-sha1 = "3f0945b47207a41946baee6d1385e4ca738c25f7"
uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
version = "0.4.68"

[[deps.Trapz]]
git-tree-sha1 = "79eb0ed763084a3e7de81fe1838379ac6a23b6a0"
uuid = "592b5752-818d-11e9-1e9a-2b8ca4a44cd1"
version = "2.0.3"

[[deps.TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[deps.TriangularSolve]]
deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
git-tree-sha1 = "c3ab8b77b82fd92e2b6eea8a275a794d5a6e4011"
uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
version = "0.1.9"

[[deps.URIParser]]
deps = ["Unicode"]
git-tree-sha1 = "53a9f49546b8d2dd2e688d216421d050c9a31d0d"
uuid = "30578b45-9adc-5946-b283-645ec420af67"
version = "0.4.1"

[[deps.URIs]]
git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.3.0"

[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[deps.UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"

[[deps.Underscores]]
git-tree-sha1 = "6e6de5a5e7116dcff8effc99f6f55230c61f6862"
uuid = "d9a01c3f-67ce-4d8c-9b55-35f6e4050bb1"
version = "3.0.0"

[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[deps.UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[deps.Unzip]]
git-tree-sha1 = "34db80951901073501137bdbc3d5a8e7bbd06670"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.1.2"

[[deps.VectorizationBase]]
deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "Hwloc", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static"]
git-tree-sha1 = "6e261bff5c9f2537776165dea3067df9de4440cf"
uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
version = "0.21.23"

[[deps.VertexSafeGraphs]]
deps = ["Graphs"]
git-tree-sha1 = "8351f8d73d7e880bfc042a8b6922684ebeafb35c"
uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f"
version = "0.2.0"

[[deps.Wayland_jll]]
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.19.0+0"

[[deps.Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "66d72dc6fcc86352f01676e8f0f698562e60510f"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.23.0+0"

[[deps.WeakRefStrings]]
deps = ["DataAPI", "InlineStrings", "Parsers"]
git-tree-sha1 = "c69f9da3ff2f4f02e811c3323c22e5dfcb584cfa"
uuid = "ea10d353-3f73-51f8-a26c-33c1cb351aa5"
version = "1.4.1"

[[deps.WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.5"

[[deps.XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.12+0"

[[deps.XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
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"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[deps.Xorg_libXcursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[deps.Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"

[[deps.Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"

[[deps.Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"

[[deps.Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
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"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[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"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.0+4"

[[deps.Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"

[[deps.Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
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"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.2+4"

[[deps.Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.27.0+4"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[deps.ZipFile]]
deps = ["Libdl", "Printf", "Zlib_jll"]
git-tree-sha1 = "3593e69e469d2111389a9bd06bac1f3d730ac6de"
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
version = "0.9.4"

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.0+0"

[[deps.Zygote]]
deps = ["AbstractFFTs", "ChainRules", "ChainRulesCore", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "IRTools", "InteractiveUtils", "LinearAlgebra", "MacroTools", "NaNMath", "Random", "Requires", "SpecialFunctions", "Statistics", "ZygoteRules"]
git-tree-sha1 = "78da1a0a69bcc86b33f7cb07bc1566c926412de3"
uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
version = "0.6.33"

[[deps.ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.2"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+0"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[deps.xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "0.9.1+5"

It looks like this is an Enzyme.jl crash. MWE:

using Enzyme

function testODE(du,u,p)
  du[1:2] = -p[1]*ones(2,2)*u[1:2]
  return nothing
end
tmp1 = [1.0, 1.0]
tmp2 = copy(tmp1)
tmp3 = copy(tmp1)
tmp4 = copy(tmp1)
p = [1.0]
Enzyme.autodiff(testODE,Enzyme.Duplicated(tmp1, tmp2),
                Enzyme.Duplicated(tmp3, tmp4),
                p)

Smaller number of parameters defaults to forward-mode AD, so it’s only when you get to large enough parameters that it’s switching to Enzyme and hitting this. Normally it would try Enzyme and when it fails it would give up and try something else, but because it’s segfaulting it can’t try/catch. Issue: https://github.com/wsmoses/Enzyme.jl/issues/175

1 Like