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Description
Describe the bug 🐞
Hi, when working on ODINN.jl, I noticed that the GaussAdjoint
method with Enzyme VJP produces an error when the parameter is a SciMLStruct. In vec_pjac!
of src/gauss_adjoint.jl
, Enzyme expects p
and out
to have the same type. In practice, p
is a SciMLStruct but out
is a Vector
. I think that this function simply lacks a repack/canonicalize
mechanism which should be easy to implement. I will open a PR with a fix proposal.
Expected behavior
The computation of the gradient should not return an error with SciMLStructures since their purpose is to map the complex structure to a vector of parameters. The documentation does not mention the use of Enzyme and GaussAdjoint
but this combination should work fine, especially since SciMLStructures
are already supported in _vecjacobian!
of src/derivative_wrappers.jl
.
Minimal Reproducible Example 👇
This MRE comes from the ODINN code, simplified as much as possible.
import Pkg
Pkg.activate(dirname(Base.current_project()))
import SciMLStructures as SS
using SciMLSensitivity
using ComponentArrays
using OrdinaryDiffEq
using LinearAlgebra
using Zygote
using FiniteDifferences
# Simulation struct
mutable struct Inv{F}
cache::Matrix{F}
end
# SciMLStruct
mutable struct Binding{I <: Inv, CA <: ComponentArray}
simulation::I
θ::CA
end
# Misc
function Vector2ComponentVector(v::Vector, cv_template::ComponentVector)
cv = zero(cv_template)
for i in 1:length(v)
cv[i] = v[i]
end
return cv
end
function ComponentVector2Vector(cv::ComponentVector)
return collect(cv)
end
# SciMLStructures interface
SS.isscimlstructure(::Binding) = true
SS.ismutablescimlstructure(::Binding) = true
SS.hasportion(::SS.Tunable, ::Binding) = true
function SS.canonicalize(::SS.Tunable, p::Binding)
buffer = ComponentVector2Vector(p.θ)
repack = let p = p
function repack(newbuffer)
SS.replace(SS.Tunable(), p, newbuffer)
end
end
return buffer, repack, false
end
function SS.replace(::SS.Tunable, p::Binding, newbuffer)
N = length(p.θ)
@assert length(newbuffer) == N
return Binding(deepcopy(p.simulation), Vector2ComponentVector(newbuffer, p.θ))
end
function SS.replace!(::SS.Tunable, p::Binding, newbuffer)
N = length(p.θ)
@assert length(newbuffer) == N
p.θ .= newbuffer
return p
end
# Minimum Reproducible Example
sensealg = GaussAdjoint(autojacvec=SciMLSensitivity.EnzymeVJP())
θ = ComponentArray(A=[1.0])
function f!(_dH::Matrix{Float64}, _H::Matrix{Float64}, container::Binding, t::Float64)
v = container.θ.A
_dH .= (0.5*_H) .* v
return nothing
end
H₀ = [1.0 2.0; 1.0 0.0]
tspan = (2010.0, 2011.0)
Δt = 0.1
tstops = range(tspan[1], tspan[2], step=Δt)
simulation = Inv(zero(H₀))
iceflow_prob = ODEProblem(
f!,
H₀,
tspan,
simulation;
tstops=tstops,
)
function loss(iceflow_prob, container::Binding)
iceflow_prob_remake = remake(iceflow_prob; p=container)
iceflow_sol = solve(
iceflow_prob_remake,
RDPK3Sp35(),
sensealg=sensealg,
tstops=tstops,
)
loss = norm((iceflow_sol[end] .- 1.0))^2
return loss
end
loss(iceflow_prob, Binding(simulation, θ))
∇θ, = Zygote.gradient(
_θ -> loss(
iceflow_prob,
Binding(simulation, _θ),
), θ)
Error & Stacktrace
ERROR: LoadError: MethodError: no method matching EnzymeCore.Duplicated(::Binding{Inv{Float64}, ComponentVector{Float64, Vector{Float64}, Tuple{Axis{(A = ViewAxis(1:1, Shaped1DAxis((1,))),)}}}}, ::Vector{Float64})
Closest candidates are:
EnzymeCore.Duplicated(::T1, ::T1) where T1
@ EnzymeCore ~/.julia/packages/EnzymeCore/lmG5F/src/EnzymeCore.jl:68
EnzymeCore.Duplicated(::T1, ::T1, ::Bool) where T1
@ EnzymeCore ~/.julia/packages/EnzymeCore/lmG5F/src/EnzymeCore.jl:68
Stacktrace:
[1] vec_pjac!(out::Vector{…}, λ::Vector{…}, y::Matrix{…}, t::Float64, S::SciMLSensitivity.GaussIntegrand{…})
@ SciMLSensitivity ~/.julia/packages/SciMLSensitivity/esFDj/src/gauss_adjoint.jl:500
[2] (::SciMLSensitivity.GaussIntegrand{…})(out::Vector{…}, t::Float64, λ::Vector{…})
@ SciMLSensitivity ~/.julia/packages/SciMLSensitivity/esFDj/src/gauss_adjoint.jl:532
[3] (::SciMLSensitivity.var"#253#254"{…})(out::Vector{…}, u::Vector{…}, t::Float64, integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ SciMLSensitivity ~/.julia/packages/SciMLSensitivity/esFDj/src/gauss_adjoint.jl:573
[4] (::DiffEqCallbacks.SavingIntegrandSumAffect{…})(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ DiffEqCallbacks ~/.julia/packages/DiffEqCallbacks/0jwBQ/src/integrating_sum.jl:50
[5] apply_discrete_callback!
@ ~/.julia/packages/DiffEqBase/dZqFN/src/callbacks.jl:616 [inlined]
[6] apply_discrete_callback!
@ ~/.julia/packages/DiffEqBase/dZqFN/src/callbacks.jl:632 [inlined]
[7] handle_callbacks!
@ ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/integrators/integrator_utils.jl:396 [inlined]
[8] _loopfooter!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ OrdinaryDiffEqCore ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/integrators/integrator_utils.jl:284
[9] loopfooter!
@ ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/integrators/integrator_utils.jl:248 [inlined]
[10] solve!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ OrdinaryDiffEqCore ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/solve.jl:621
[11] #__solve#62
@ ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/solve.jl:7 [inlined]
[12] __solve
@ ~/.julia/packages/OrdinaryDiffEqCore/zs1s7/src/solve.jl:1 [inlined]
[13] solve_call(_prob::ODEProblem{…}, args::RDPK3Sp35{…}; merge_callbacks::Bool, kwargshandle::Nothing, kwargs::@Kwargs{…})
@ DiffEqBase ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:670
[14] solve_call
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:627 [inlined]
[15] #solve_up#45
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:1224 [inlined]
[16] solve_up
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:1201 [inlined]
[17] #solve#43
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:1096 [inlined]
[18] _adjoint_sensitivities(sol::ODESolution{…}, sensealg::GaussAdjoint{…}, alg::RDPK3Sp35{…}; t::Vector{…}, dgdu_discrete::Function, dgdp_discrete::Nothing, dgdu_continuous::Nothing, dgdp_continuous::Nothing, g::Nothing, abstol::Float64, reltol::Float64, checkpoints::Vector{…}, corfunc_analytical::Bool, callback::Nothing, no_start::Bool, kwargs::@Kwargs{…})
@ SciMLSensitivity ~/.julia/packages/SciMLSensitivity/esFDj/src/gauss_adjoint.jl:594
[19] _adjoint_sensitivities
@ ~/.julia/packages/SciMLSensitivity/esFDj/src/gauss_adjoint.jl:546 [inlined]
[20] #adjoint_sensitivities#66
@ ~/.julia/packages/SciMLSensitivity/esFDj/src/sensitivity_interface.jl:411 [inlined]
[21] (::SciMLSensitivity.var"#adjoint_sensitivity_backpass#301"{…})(Δ::Vector{…})
@ SciMLSensitivity ~/.julia/packages/SciMLSensitivity/esFDj/src/concrete_solve.jl:679
[22] ZBack
@ ~/.julia/packages/Zygote/55SqB/src/compiler/chainrules.jl:222 [inlined]
[23] (::Zygote.var"#kw_zpullback#58"{SciMLSensitivity.var"#adjoint_sensitivity_backpass#301"{…}})(dy::Vector{AbstractMatrix{…}})
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/chainrules.jl:248
[24] #305
@ ~/.julia/packages/Zygote/55SqB/src/lib/lib.jl:214 [inlined]
[25] (::Zygote.var"#2189#back#307"{Zygote.var"#305#306"{Tuple{…}, Zygote.var"#kw_zpullback#58"{…}}})(Δ::Vector{AbstractMatrix{Float64}})
@ Zygote ~/.julia/packages/ZygoteRules/CkVIK/src/adjoint.jl:72
[26] #solve#43
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:1096 [inlined]
[27] (::Zygote.Pullback{Tuple{…}, Any})(Δ::Vector{AbstractMatrix{…}})
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface2.jl:0
[28] #305
@ ~/.julia/packages/Zygote/55SqB/src/lib/lib.jl:214 [inlined]
[29] (::Zygote.var"#2189#back#307"{Zygote.var"#305#306"{Tuple{NTuple{…}, Tuple{…}}, Zygote.Pullback{Tuple{…}, Any}}})(Δ::Vector{AbstractMatrix{Float64}})
@ Zygote ~/.julia/packages/ZygoteRules/CkVIK/src/adjoint.jl:72
[30] solve
@ ~/.julia/packages/DiffEqBase/dZqFN/src/solve.jl:1086 [inlined]
[31] (::Zygote.Pullback{Tuple{typeof(Core.kwcall), @NamedTuple{…}, typeof(solve), ODEProblem{…}, RDPK3Sp35{…}}, Any})(Δ::Vector{AbstractMatrix{Float64}})
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface2.jl:0
[32] loss
@ ~/.julia/dev/ODINN/debug/mwe_scimlstructs_gauss_adjoint.jl:86 [inlined]
[33] (::Zygote.Pullback{Tuple{…}, Tuple{…}})(Δ::Float64)
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface2.jl:0
[34] #2
@ ~/.julia/dev/ODINN/debug/mwe_scimlstructs_gauss_adjoint.jl:99 [inlined]
[35] (::Zygote.Pullback{Tuple{…}, Tuple{…}})(Δ::Float64)
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface2.jl:0
[36] (::Zygote.var"#88#89"{Zygote.Pullback{Tuple{…}, Tuple{…}}})(Δ::Float64)
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface.jl:97
[37] gradient(f::Function, args::ComponentVector{Float64, Vector{Float64}, Tuple{Axis{(A = ViewAxis(1:1, Shaped1DAxis((1,))),)}}})
@ Zygote ~/.julia/packages/Zygote/55SqB/src/compiler/interface.jl:154
[38] top-level scope
@ ~/.julia/dev/ODINN/debug/mwe_scimlstructs_gauss_adjoint.jl:98
[39] include(fname::String)
@ Base.MainInclude ./client.jl:494
[40] top-level scope
@ REPL[1]:1
Environment (please complete the following information):
- Output of
using Pkg; Pkg.status()
Status `~/.julia/dev/ODINN/debug/Project.toml`
[b0b7db55] ComponentArrays v0.15.28
[7da242da] Enzyme v0.13.61
[26cc04aa] FiniteDifferences v0.12.32
[1dea7af3] OrdinaryDiffEq v6.99.0
[1ed8b502] SciMLSensitivity v7.88.0
[53ae85a6] SciMLStructures v1.7.0
[e88e6eb3] Zygote v0.7.10
[37e2e46d] LinearAlgebra
- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/dev/ODINN/debug/Manifest.toml`
[47edcb42] ADTypes v1.15.0
[621f4979] AbstractFFTs v1.5.0
[7d9f7c33] Accessors v0.1.42
[79e6a3ab] Adapt v4.3.0
[66dad0bd] AliasTables v1.1.3
[4fba245c] ArrayInterface v7.19.0
[4c555306] ArrayLayouts v1.11.1
[a9b6321e] Atomix v1.1.1
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[70df07ce] BracketingNonlinearSolve v1.3.0
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.6
[7057c7e9] Cassette v0.3.14
[082447d4] ChainRules v1.72.5
[d360d2e6] ChainRulesCore v1.25.2
[fb6a15b2] CloseOpenIntervals v0.1.13
[38540f10] CommonSolve v0.2.4
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.0.0
[34da2185] Compat v4.17.0
[b0b7db55] ComponentArrays v0.15.28
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[187b0558] ConstructionBase v1.6.0
[adafc99b] CpuId v0.3.1
[a8cc5b0e] Crayons v4.1.1
[9a962f9c] DataAPI v1.16.0
[864edb3b] DataStructures v0.18.22
[e2d170a0] DataValueInterfaces v1.0.0
[2b5f629d] DiffEqBase v6.177.2
[459566f4] DiffEqCallbacks v4.8.0
[77a26b50] DiffEqNoiseProcess v5.24.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[a0c0ee7d] DifferentiationInterface v0.7.3
[31c24e10] Distributions v0.25.120
[ffbed154] DocStringExtensions v0.9.5
[4e289a0a] EnumX v1.0.5
[7da242da] Enzyme v0.13.61
[f151be2c] EnzymeCore v0.8.12
[d4d017d3] ExponentialUtilities v1.27.0
[e2ba6199] ExprTools v0.1.10
[55351af7] ExproniconLite v0.10.14
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[442a2c76] FastGaussQuadrature v1.0.2
[a4df4552] FastPower v1.1.3
[1a297f60] FillArrays v1.13.0
[6a86dc24] FiniteDiff v2.27.0
[26cc04aa] FiniteDifferences v0.12.32
[f6369f11] ForwardDiff v1.0.1
[f62d2435] FunctionProperties v0.1.2
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[d9f16b24] Functors v0.5.2
[46192b85] GPUArraysCore v0.2.0
[61eb1bfa] GPUCompiler v1.6.1
[c145ed77] GenericSchur v0.5.5
[076d061b] HashArrayMappedTries v0.2.0
[34004b35] HypergeometricFunctions v0.3.28
[7869d1d1] IRTools v0.4.15
[615f187c] IfElse v0.1.1
[3587e190] InverseFunctions v0.1.17
[92d709cd] IrrationalConstants v0.2.4
[82899510] IteratorInterfaceExtensions v1.0.0
[692b3bcd] JLLWrappers v1.7.0
[ae98c720] Jieko v0.2.1
[63c18a36] KernelAbstractions v0.9.37
[ba0b0d4f] Krylov v0.10.1
[929cbde3] LLVM v9.4.2
[b964fa9f] LaTeXStrings v1.4.0
[10f19ff3] LayoutPointers v0.1.17
[5078a376] LazyArrays v2.6.1
[87fe0de2] LineSearch v0.1.4
[d3d80556] LineSearches v7.4.0
[7ed4a6bd] LinearSolve v3.19.2
[2ab3a3ac] LogExpFunctions v0.3.29
[1914dd2f] MacroTools v0.5.16
[d125e4d3] ManualMemory v0.1.8
[bb5d69b7] MaybeInplace v0.1.4
[e1d29d7a] Missings v1.2.0
[2e0e35c7] Moshi v0.3.7
[46d2c3a1] MuladdMacro v0.2.4
[d41bc354] NLSolversBase v7.10.0
[872c559c] NNlib v0.9.30
[77ba4419] NaNMath v1.1.3
[8913a72c] NonlinearSolve v4.10.0
[be0214bd] NonlinearSolveBase v1.12.0
[5959db7a] NonlinearSolveFirstOrder v1.5.0
[9a2c21bd] NonlinearSolveQuasiNewton v1.6.0
[26075421] NonlinearSolveSpectralMethods v1.2.0
⌅ [d8793406] ObjectFile v0.4.4
[429524aa] Optim v1.13.2
[3bd65402] Optimisers v0.4.6
[bac558e1] OrderedCollections v1.8.1
[1dea7af3] OrdinaryDiffEq v6.99.0
[89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.2.0
[6ad6398a] OrdinaryDiffEqBDF v1.6.0
[bbf590c4] OrdinaryDiffEqCore v1.26.2
[50262376] OrdinaryDiffEqDefault v1.5.0
[4302a76b] OrdinaryDiffEqDifferentiation v1.10.0
[9286f039] OrdinaryDiffEqExplicitRK v1.1.0
[e0540318] OrdinaryDiffEqExponentialRK v1.4.0
[becaefa8] OrdinaryDiffEqExtrapolation v1.5.0
[5960d6e9] OrdinaryDiffEqFIRK v1.12.0
[101fe9f7] OrdinaryDiffEqFeagin v1.1.0
[d3585ca7] OrdinaryDiffEqFunctionMap v1.1.1
[d28bc4f8] OrdinaryDiffEqHighOrderRK v1.1.0
[9f002381] OrdinaryDiffEqIMEXMultistep v1.3.0
[521117fe] OrdinaryDiffEqLinear v1.3.0
[1344f307] OrdinaryDiffEqLowOrderRK v1.2.0
[b0944070] OrdinaryDiffEqLowStorageRK v1.3.0
[127b3ac7] OrdinaryDiffEqNonlinearSolve v1.10.0
[c9986a66] OrdinaryDiffEqNordsieck v1.1.0
[5dd0a6cf] OrdinaryDiffEqPDIRK v1.3.1
[5b33eab2] OrdinaryDiffEqPRK v1.1.0
[04162be5] OrdinaryDiffEqQPRK v1.1.0
[af6ede74] OrdinaryDiffEqRKN v1.1.0
[43230ef6] OrdinaryDiffEqRosenbrock v1.11.0
[2d112036] OrdinaryDiffEqSDIRK v1.3.0
[669c94d9] OrdinaryDiffEqSSPRK v1.3.0
[e3e12d00] OrdinaryDiffEqStabilizedIRK v1.3.0
[358294b1] OrdinaryDiffEqStabilizedRK v1.1.2
[fa646aed] OrdinaryDiffEqSymplecticRK v1.3.0
[b1df2697] OrdinaryDiffEqTsit5 v1.1.0
[79d7bb75] OrdinaryDiffEqVerner v1.2.0
[90014a1f] PDMats v0.11.35
[d96e819e] Parameters v0.12.3
[e409e4f3] PoissonRandom v0.4.5
[f517fe37] Polyester v0.7.18
[1d0040c9] PolyesterWeave v0.2.2
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v0.4.29
⌅ [aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.4.3
[08abe8d2] PrettyTables v2.4.0
[43287f4e] PtrArrays v1.3.0
[1fd47b50] QuadGK v2.11.2
[74087812] Random123 v1.7.1
[e6cf234a] RandomNumbers v1.6.0
[c1ae055f] RealDot v0.1.0
[3cdcf5f2] RecipesBase v1.3.4
[731186ca] RecursiveArrayTools v3.34.1
[189a3867] Reexport v1.2.2
[ae029012] Requires v1.3.1
[ae5879a3] ResettableStacks v1.1.1
[37e2e3b7] ReverseDiff v1.16.1
[708f8203] Richardson v1.4.2
[79098fc4] Rmath v0.8.0
[7e49a35a] RuntimeGeneratedFunctions v0.5.15
[94e857df] SIMDTypes v0.1.0
[0bca4576] SciMLBase v2.103.1
[19f34311] SciMLJacobianOperators v0.1.6
[c0aeaf25] SciMLOperators v1.3.1
[1ed8b502] SciMLSensitivity v7.88.0
[53ae85a6] SciMLStructures v1.7.0
[7e506255] ScopedValues v1.3.0
[6c6a2e73] Scratch v1.3.0
[efcf1570] Setfield v1.1.2
[727e6d20] SimpleNonlinearSolve v2.5.0
[ce78b400] SimpleUnPack v1.1.0
[a2af1166] SortingAlgorithms v1.2.1
[dc90abb0] SparseInverseSubset v0.1.2
[0a514795] SparseMatrixColorings v0.4.21
[276daf66] SpecialFunctions v2.5.1
[aedffcd0] Static v1.2.0
[0d7ed370] StaticArrayInterface v1.8.0
[90137ffa] StaticArrays v1.9.14
[1e83bf80] StaticArraysCore v1.4.3
[82ae8749] StatsAPI v1.7.1
[2913bbd2] StatsBase v0.34.5
[4c63d2b9] StatsFuns v1.5.0
[7792a7ef] StrideArraysCore v0.5.7
[892a3eda] StringManipulation v0.4.1
[09ab397b] StructArrays v0.7.1
[53d494c1] StructIO v0.3.1
[2efcf032] SymbolicIndexingInterface v0.3.41
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.1
[8290d209] ThreadingUtilities v0.5.5
[a759f4b9] TimerOutputs v0.5.29
[9f7883ad] Tracker v0.2.38
[e689c965] Tracy v0.1.5
[781d530d] TruncatedStacktraces v1.4.0
[3a884ed6] UnPack v1.0.2
[013be700] UnsafeAtomics v0.3.0
[e88e6eb3] Zygote v0.7.10
[700de1a5] ZygoteRules v0.2.7
[7cc45869] Enzyme_jll v0.0.186+0
[1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
[dad2f222] LLVMExtra_jll v0.0.37+2
[ad6e5548] LibTracyClient_jll v0.9.1+6
[856f044c] MKL_jll v2025.0.1+1
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[f50d1b31] Rmath_jll v0.5.1+0
[1317d2d5] oneTBB_jll v2022.0.0+0
[0dad84c5] ArgTools v1.1.1
[56f22d72] Artifacts
[2a0f44e3] Base64
[ade2ca70] Dates
[8ba89e20] Distributed
[f43a241f] Downloads v1.6.0
[7b1f6079] FileWatching
[9fa8497b] Future
[b77e0a4c] InteractiveUtils
[4af54fe1] LazyArtifacts
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2
[8f399da3] Libdl
[37e2e46d] LinearAlgebra
[56ddb016] Logging
[d6f4376e] Markdown
[ca575930] NetworkOptions v1.2.0
[44cfe95a] Pkg v1.10.0
[de0858da] Printf
[3fa0cd96] REPL
[9a3f8284] Random
[ea8e919c] SHA v0.7.0
[9e88b42a] Serialization
[6462fe0b] Sockets
[2f01184e] SparseArrays v1.10.0
[10745b16] Statistics v1.10.0
[4607b0f0] SuiteSparse
[fa267f1f] TOML v1.0.3
[a4e569a6] Tar v1.10.0
[cf7118a7] UUIDs
[4ec0a83e] Unicode
[e66e0078] CompilerSupportLibraries_jll v1.1.1+0
[deac9b47] LibCURL_jll v8.4.0+0
[e37daf67] LibGit2_jll v1.6.4+0
[29816b5a] LibSSH2_jll v1.11.0+1
[c8ffd9c3] MbedTLS_jll v2.28.2+1
[14a3606d] MozillaCACerts_jll v2023.1.10
[4536629a] OpenBLAS_jll v0.3.23+4
[05823500] OpenLibm_jll v0.8.1+2
[bea87d4a] SuiteSparse_jll v7.2.1+1
[83775a58] Zlib_jll v1.2.13+1
[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.52.0+1
[3f19e933] p7zip_jll v17.4.0+2
- Output of
versioninfo()
Julia Version 1.10.8
Commit 4c16ff44be8 (2025-01-22 10:06 UTC)