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sol[sym] throws for observed expressions combining @discretes and continuous states #4381

@martincornejo

Description

@martincornejo

Here is a minimum example:

using ModelingToolkit
using ModelingToolkit: t_nounits as t, D_nounits as D
using OrdinaryDiffEq

@variables x(t) # continuous ODE state
@variables y(t) # observed: mixes discrete k and continuous x
@discretes k(t) # discrete parameter updated by callback


# Callback: double k every 1 second         
affect = ModelingToolkit.ImperativeAffect(modified=(; k)) do m, o, c, i
    (; k=m.k * 2.0)
end
cb = ModelingToolkit.SymbolicDiscreteCallback(1.0, affect)
eqs = [D(x) ~ -x,
    y ~ k * x,     # <-- mixes discrete k and continuous x                             
]
@mtkcompile sys = System(eqs, t; discrete_events=[cb])
prob = ODEProblem(sys, [sys.x => 1.0, sys.k => 1.0], (0.0, 3.0))
sol = solve(prob, Rodas5P(); saveat=0.1)

# This fails
sol[sys.y]

# This works:
sol(sol.t; idxs=sys.y).u

Expected: sol[sys.y] returns a vector of values at each saved timepoint, with k step-held between callback firings.

Error & Stacktrace ⚠️

Click to expand
ERROR:     Invalid indexing operation: tried to access object of type ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, SymbolicIndexingInterface.ParameterTimeseriesCollection{Tuple{RecursiveArrayTools.DiffEqArray{Any, 2, Vector{ModelingToolkitBase.NestedGetIndex{Tuple{Vector{Float64}}}}, Vector{Float64}, Nothing, Nothing, Nothing}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Base.Pairs{Symbol, CallbackSet{Tuple{}, Tuple{DiscreteCallback{DiffEqCallbacks.var"#88#89"{Bool, Float64, Base.RefValue{Int64}, Base.RefValue{Float64}}, DiffEqCallbacks.PeriodicCallbackAffect{ModelingToolkitBase.var"#406#407"{@NamedTuple{k::SymbolicIndexingInterface.ParameterHookWrapper{SymbolicIndexingInterface.SetParameterIndex{ModelingToolkitBase.ParameterIndex{SciMLStructures.Discrete, Tuple{Int64, Int64}}}, Num}}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x5510a2c6, 0xf6484a63, 0xc0016c76, 0x6c375d78, 0x8c969ab1), Nothing}, Nothing}, Tuple{Symbol}, Tuple{}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xfb11e620, 0xc3f23fe3, 0xf3f13c8f, 0xc8dfa2e3, 0x9a0f4072), Nothing}, Nothing}, var"#66#67", Nothing, Bool}, Float64, Base.RefValue{Float64}, Base.RefValue{Int64}}, DiffEqCallbacks.var"#90#91"{Int64, Bool, typeof(SciMLBase.INITIALIZE_DEFAULT), Float64, DiffEqCallbacks.PeriodicCallbackAffect{ModelingToolkitBase.var"#406#407"{@NamedTuple{k::SymbolicIndexingInterface.ParameterHookWrapper{SymbolicIndexingInterface.SetParameterIndex{ModelingToolkitBase.ParameterIndex{SciMLStructures.Discrete, Tuple{Int64, Int64}}}, Num}}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x5510a2c6, 0xf6484a63, 0xc0016c76, 0x6c375d78, 0x8c969ab1), Nothing}, Nothing}, Tuple{Symbol}, Tuple{}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xfb11e620, 0xc3f23fe3, 0xf3f13c8f, 0xc8dfa2e3, 0x9a0f4072), Nothing}, Nothing}, var"#66#67", Nothing, Bool}, Float64, Base.RefValue{Float64}, Base.RefValue{Int64}}, Base.RefValue{Int64}, Base.RefValue{Float64}}, typeof(SciMLBase.FINALIZE_DEFAULT), CheckInit, Vector{Int64}}}}, Nothing, @NamedTuple{callback::CallbackSet{Tuple{}, Tuple{DiscreteCallback{DiffEqCallbacks.var"#88#89"{Bool, Float64, Base.RefValue{Int64}, Base.RefValue{Float64}}, DiffEqCallbacks.PeriodicCallbackAffect{ModelingToolkitBase.var"#406#407"{@NamedTuple{k::SymbolicIndexingInterface.ParameterHookWrapper{SymbolicIndexingInterface.SetParameterIndex{ModelingToolkitBase.ParameterIndex{SciMLStructures.Discrete, Tuple{Int64, Int64}}}, Num}}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x5510a2c6, 0xf6484a63, 0xc0016c76, 0x6c375d78, 0x8c969ab1), Nothing}, Nothing}, Tuple{Symbol}, Tuple{}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xfb11e620, 0xc3f23fe3, 0xf3f13c8f, 0xc8dfa2e3, 0x9a0f4072), Nothing}, Nothing}, var"#66#67", Nothing, Bool}, Float64, Base.RefValue{Float64}, Base.RefValue{Int64}}, DiffEqCallbacks.var"#90#91"{Int64, Bool, typeof(SciMLBase.INITIALIZE_DEFAULT), Float64, DiffEqCallbacks.PeriodicCallbackAffect{ModelingToolkitBase.var"#406#407"{@NamedTuple{k::SymbolicIndexingInterface.ParameterHookWrapper{SymbolicIndexingInterface.SetParameterIndex{ModelingToolkitBase.ParameterIndex{SciMLStructures.Discrete, Tuple{Int64, Int64}}}, Num}}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0x5510a2c6, 0xf6484a63, 0xc0016c76, 0x6c375d78, 0x8c969ab1), Nothing}, Nothing}, Tuple{Symbol}, Tuple{}, ModelingToolkitBase.GeneratedFunctionWrapper{(2, 3, true), RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:__mtk_arg_1, :___mtkparameters___, :t), ModelingToolkitBase.var"#_RGF_ModTag", ModelingToolkitBase.var"#_RGF_ModTag", (0xfb11e620, 0xc3f23fe3, 0xf3f13c8f, 0xc8dfa2e3, 0x9a0f4072), Nothing}, Nothing}, var"#66#67", Nothing, Bool}, Float64, Base.RefValue{Float64}, Base.RefValue{Int64}}, Base.RefValue{Int64}, Base.RefValue{Float64}}, typeof(SciMLBase.FINALIZE_DEFAULT), CheckInit, Vector{Int64}}}}}}, SciMLBase.StandardODEProblem}, Rodas5P{1, ADTypes.AutoForwardDiff{1, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, OrdinaryDiffEqCore.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}}, SciMLBase.UJacobianWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Float64, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, Cholesky{Float64, Matrix{Float64}}, Cholesky{Float64, Matrix{Float64}}, Tuple{LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Matrix{Float64}, Vector{Float64}}, LinearSolve.InvPreconditioner{Diagonal{Float64, Vector{Float64}}}, Diagonal{Float64, Vector{Float64}}, Float64, LinearSolve.LinearVerbosity{SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.WarnLevel, SciMLLogging.WarnLevel, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent, SciMLLogging.Silent}, Bool, LinearSolve.LinearSolveAdjoint{Missing}}, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, Tuple{}}}, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}}, Vector{Float64}, ADTypes.AutoForwardDiff{1, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, Float64, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkitBase.ObservedFunctionCache{System, Nothing}, Nothing, System, Union{Nothing, SciMLBase.OverrideInitData}, Union{Nothing, SciMLBase.ODENLStepData}}, Vector{Float64}, MTKParameters{StaticArraysCore.SVector{0, Float64}, Vector{Float64}, Tuple{BlockArrays.BlockedVector{Float64, Vector{Float64}, Tuple{BlockArrays.BlockedOneTo{Int64, Vector{Int64}}}}}, Tuple{}, Tuple{}, Tuple{}}}, Vector{Float64}, ADTypes.AutoForwardDiff{1, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, Float64, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{1, ADTypes.AutoForwardDiff{1, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing}, SciMLBase.DEStats, Nothing, Nothing, Nothing, Nothing} (which is a parameter timeseries object) with variables having mixed timeseries indexes Any[SymbolicIndexingInterface.ContinuousTimeseries(), 1].

Stacktrace:
 [1] (::SymbolicIndexingInterface.TimeDependentObservedFunction{…})(::SymbolicIndexingInterface.Timeseries, ::SymbolicIndexingInterface.IndexerMixedTimeseries, ::ODESolution{…})
   @ SymbolicIndexingInterface C:\Users\wsworker\.julia\packages\SymbolicIndexingInterface\D9aQf\src\state_indexing.jl:125
 [2] (::SymbolicIndexingInterface.TimeDependentObservedFunction{…})(::SymbolicIndexingInterface.Timeseries, ::ODESolution{…})
   @ SymbolicIndexingInterface C:\Users\wsworker\.julia\packages\SymbolicIndexingInterface\D9aQf\src\state_indexing.jl:80
 [3] (::SymbolicIndexingInterface.TimeDependentObservedFunction{…})(prob::ODESolution{…})
   @ SymbolicIndexingInterface C:\Users\wsworker\.julia\packages\SymbolicIndexingInterface\D9aQf\src\value_provider_interface.jl:166
 [4] _getindex
   @ C:\Users\wsworker\.julia\packages\RecursiveArrayTools\AvG3i\src\vector_of_array.jl:694 [inlined]
 [5] getindex(::ODESolution{…}, ::Num)
   @ RecursiveArrayTools C:\Users\wsworker\.julia\packages\RecursiveArrayTools\AvG3i\src\vector_of_array.jl:1011
 [6] top-level scope
   @ d:\Austausch\MC\stabl-digital-twin\mwe.jl:23
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
(DigitalTwinBatteryMMC) pkg> st
Project DigitalTwinBatteryMMC v0.1.0
Status `D:\Austausch\MC\stabl-digital-twin\Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.3
  [336ed68f] CSV v0.10.16
  [13f3f980] CairoMakie v0.15.9
  [a93c6f00] DataFrames v1.8.1
  [82cc6244] DataInterpolations v8.9.0
  [459566f4] DiffEqCallbacks v4.12.0
  [e9467ef8] GLMakie v0.13.9
  [d8418881] Intervals v1.11.0
  [961ee093] ModelingToolkit v11.14.0
  [16a59e39] ModelingToolkitStandardLibrary v2.27.0
  [8913a72c] NonlinearSolve v4.16.0
  [1dea7af3] OrdinaryDiffEq v6.108.0
  [6099a3de] PythonCall v0.9.31
  [7b8617ff] QuackIO v0.1.5
  [0bca4576] SciMLBase v2.148.0
  [37e2e46d] LinearAlgebra v1.12.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Click to expand
(DigitalTwinBatteryMMC) pkg> st -m
Project DigitalTwinBatteryMMC v0.1.0
Status `D:\Austausch\MC\stabl-digital-twin\Manifest.toml`
  [47edcb42] ADTypes v1.21.0
  [621f4979] AbstractFFTs v1.5.0
  [6e696c72] AbstractPlutoDingetjes v1.3.2
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.43
  [79e6a3ab] Adapt v4.5.0
  [35492f91] AdaptivePredicates v1.2.0
  [66dad0bd] AliasTables v1.1.3
  [27a7e980] Animations v0.4.2
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.23.0
  [4c555306] ArrayLayouts v1.12.2
  [31f734f8] ArrowTypes v2.3.0
  [67c07d97] Automa v1.1.0
  [13072b0f] AxisAlgorithms v1.1.0
  [39de3d68] AxisArrays v0.4.8
  [18cc8868] BaseDirs v1.3.2
  [6e4b80f9] BenchmarkTools v1.6.3
  [e2ed5e7c] Bijections v0.2.2
  [caf10ac8] BipartiteGraphs v0.1.7
  [c3b6d118] BitIntegers v0.3.7
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [8e7c35d0] BlockArrays v1.9.3
  [70df07ce] BracketingNonlinearSolve v1.11.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.7
  [96374032] CRlibm v1.0.2
  [336ed68f] CSV v0.10.16
  [159f3aea] Cairo v1.1.1
  [13f3f980] CairoMakie v0.15.9
  [d360d2e6] ChainRulesCore v1.26.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [944b1d66] CodecZlib v0.7.8
  [a2cac450] ColorBrewer v0.4.2
  [35d6a980] ColorSchemes v3.31.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
⌅ [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.6
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.1
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [95dc2771] ComputePipeline v0.1.7
  [2569d6c7] ConcreteStructs v0.2.3
  [992eb4ea] CondaPkg v0.2.34
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.1.1
  [a10d1c49] DBInterface v2.6.1
  [9a962f9c] DataAPI v1.16.0
  [a93c6f00] DataFrames v1.8.1
  [82cc6244] DataInterpolations v8.9.0
  [864edb3b] DataStructures v0.19.3
  [e2d170a0] DataValueInterfaces v1.0.0
  [927a84f5] DelaunayTriangulation v1.6.6
  [2b5f629d] DiffEqBase v6.210.1
  [459566f4] DiffEqCallbacks v4.12.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [a0c0ee7d] DifferentiationInterface v0.7.16
  [31c24e10] Distributions v0.25.123
  [ffbed154] DocStringExtensions v0.9.5
  [5b8099bc] DomainSets v0.7.16
  [d2f5444f] DuckDB v1.4.1
  [7c1d4256] DynamicPolynomials v0.6.4
  [4e289a0a] EnumX v1.0.7
  [f151be2c] EnzymeCore v0.8.18
  [429591f6] ExactPredicates v2.2.9
  [d4d017d3] ExponentialUtilities v1.30.0
  [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [411431e0] Extents v0.1.6
  [b86e33f2] FFTA v0.3.1
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.1.0
  [a4df4552] FastPower v1.3.1
  [5789e2e9] FileIO v1.18.0
  [8fc22ac5] FilePaths v0.9.0
  [48062228] FilePathsBase v0.9.24
  [1a297f60] FillArrays v1.16.0
  [64ca27bc] FindFirstFunctions v1.8.0
  [6a86dc24] FiniteDiff v2.29.0
  [fb4d412d] FixedPointDecimals v0.6.4
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.3.2
  [b38be410] FreeType v4.1.1
  [663a7486] FreeTypeAbstraction v0.10.8
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [f7f18e0c] GLFW v3.4.6
  [e9467ef8] GLMakie v0.13.9
  [46192b85] GPUArraysCore v0.2.0
  [c145ed77] GenericSchur v0.5.6
  [5c1252a2] GeometryBasics v0.5.10
  [a2bd30eb] Graphics v1.1.3
  [86223c79] Graphs v1.14.0
  [3955a311] GridLayoutBase v0.11.2
  [42e2da0e] Grisu v1.0.2
  [34004b35] HypergeometricFunctions v0.3.28
  [615f187c] IfElse v0.1.1
  [2803e5a7] ImageAxes v0.6.12
  [c817782e] ImageBase v0.1.7
  [a09fc81d] ImageCore v0.10.5
  [82e4d734] ImageIO v0.6.9
  [bc367c6b] ImageMetadata v0.9.10
  [3263718b] ImplicitDiscreteSolve v1.8.0
  [9b13fd28] IndirectArrays v1.0.0
  [d25df0c9] Inflate v0.1.5
  [842dd82b] InlineStrings v1.4.5
  [18e54dd8] IntegerMathUtils v0.1.3
  [a98d9a8b] Interpolations v0.16.2
  [d1acc4aa] IntervalArithmetic v1.0.2
  [8197267c] IntervalSets v0.7.13
  [d8418881] Intervals v1.11.0
  [3587e190] InverseFunctions v0.1.17
  [41ab1584] InvertedIndices v1.3.1
  [92d709cd] IrrationalConstants v0.2.6
  [f1662d9f] Isoband v0.1.1
  [c8e1da08] IterTools v1.10.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v1.4.0
  [ae98c720] Jieko v0.2.1
  [b835a17e] JpegTurbo v0.1.6
  [ccbc3e58] JumpProcesses v9.23.1
  [5ab0869b] KernelDensity v0.6.11
  [ba0b0d4f] Krylov v0.10.6
  [b964fa9f] LaTeXStrings v1.4.0
  [10f19ff3] LayoutPointers v0.1.17
  [8cdb02fc] LazyModules v0.3.1
  [87fe0de2] LineSearch v0.1.6
  [d3d80556] LineSearches v7.6.0
  [7ed4a6bd] LinearSolve v3.64.0
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.2.0
  [1914dd2f] MacroTools v0.5.16
  [ee78f7c6] Makie v0.24.9
  [d125e4d3] ManualMemory v0.1.8
  [dbb5928d] MappedArrays v0.4.3
  [0a4f8689] MathTeXEngine v0.6.7
  [bb5d69b7] MaybeInplace v0.1.4
  [7269a6da] MeshIO v0.5.3
  [0b3b1443] MicroMamba v0.1.15
  [e1d29d7a] Missings v1.2.0
  [78c3b35d] Mocking v0.8.1
  [961ee093] ModelingToolkit v11.14.0
  [7771a370] ModelingToolkitBase v1.21.0
  [16a59e39] ModelingToolkitStandardLibrary v2.27.0
  [6bb917b9] ModelingToolkitTearing v1.6.0
  [66fc600b] ModernGL v1.1.8
  [e94cdb99] MosaicViews v0.3.4
  [2e0e35c7] Moshi v0.3.7
  [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.13
  [d8a4904e] MutableArithmetics v1.6.7
  [d41bc354] NLSolversBase v8.0.0
  [77ba4419] NaNMath v1.1.3
  [f09324ee] Netpbm v1.1.1
  [8913a72c] NonlinearSolve v4.16.0
  [be0214bd] NonlinearSolveBase v2.15.0
  [5959db7a] NonlinearSolveFirstOrder v2.0.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.12.0
  [26075421] NonlinearSolveSpectralMethods v1.6.0
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.17.0
  [52e1d378] OpenEXR v0.3.3
  [bac558e1] OrderedCollections v1.8.1
  [1dea7af3] OrdinaryDiffEq v6.108.0
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.9.0
  [6ad6398a] OrdinaryDiffEqBDF v1.22.0
  [bbf590c4] OrdinaryDiffEqCore v3.17.0
  [50262376] OrdinaryDiffEqDefault v1.13.0
  [4302a76b] OrdinaryDiffEqDifferentiation v2.2.1
  [9286f039] OrdinaryDiffEqExplicitRK v1.9.0
  [e0540318] OrdinaryDiffEqExponentialRK v1.13.0
  [becaefa8] OrdinaryDiffEqExtrapolation v1.16.0
  [5960d6e9] OrdinaryDiffEqFIRK v1.23.0
  [101fe9f7] OrdinaryDiffEqFeagin v1.8.0
  [d3585ca7] OrdinaryDiffEqFunctionMap v1.9.0
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.9.0
  [9f002381] OrdinaryDiffEqIMEXMultistep v1.12.0
  [521117fe] OrdinaryDiffEqLinear v1.10.0
  [1344f307] OrdinaryDiffEqLowOrderRK v1.10.0
  [b0944070] OrdinaryDiffEqLowStorageRK v1.12.0
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.23.0
  [c9986a66] OrdinaryDiffEqNordsieck v1.9.0
  [5dd0a6cf] OrdinaryDiffEqPDIRK v1.11.0
  [5b33eab2] OrdinaryDiffEqPRK v1.8.0
  [04162be5] OrdinaryDiffEqQPRK v1.8.0
  [af6ede74] OrdinaryDiffEqRKN v1.10.0
  [43230ef6] OrdinaryDiffEqRosenbrock v1.25.0
  [2d112036] OrdinaryDiffEqSDIRK v1.12.0
  [669c94d9] OrdinaryDiffEqSSPRK v1.11.0
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.11.0
  [358294b1] OrdinaryDiffEqStabilizedRK v1.8.0
  [fa646aed] OrdinaryDiffEqSymplecticRK v1.11.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.9.0
  [79d7bb75] OrdinaryDiffEqVerner v1.11.0
  [90014a1f] PDMats v0.11.37
  [f57f5aa1] PNGFiles v0.4.4
  [19eb6ba3] Packing v0.5.1
  [5432bcbf] PaddedViews v0.5.12
  [69de0a69] Parsers v2.8.3
  [fa939f87] Pidfile v1.3.0
  [eebad327] PkgVersion v0.3.3
  [995b91a9] PlotUtils v1.4.4
  [e409e4f3] PoissonRandom v0.4.7
  [f517fe37] Polyester v0.7.19
  [1d0040c9] PolyesterWeave v0.2.2
  [647866c9] PolygonOps v0.1.2
  [2dfb63ee] PooledArrays v1.4.3
  [d236fae5] PreallocationTools v1.1.2
  [aea7be01] PrecompileTools v1.3.3
  [21216c6a] Preferences v1.5.2
  [08abe8d2] PrettyTables v3.2.3
  [27ebfcd6] Primes v0.5.7
  [92933f4c] ProgressMeter v1.11.0
  [43287f4e] PtrArrays v1.4.0
  [6099a3de] PythonCall v0.9.31
  [4b34888f] QOI v1.0.2
  [7b8617ff] QuackIO v0.1.5
  [1fd47b50] QuadGK v2.11.2
  [b3c3ace0] RangeArrays v0.3.2
  [c84ed2f1] Ratios v0.4.5
  [988b38a3] ReadOnlyArrays v0.2.0
  [795d4caa] ReadOnlyDicts v1.0.1
  [3cdcf5f2] RecipesBase v1.3.4
  [731186ca] RecursiveArrayTools v3.48.0
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
  [79098fc4] Rmath v0.9.0
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.17
  [9dfe8606] SCCNonlinearSolve v1.11.0
  [fdea26ae] SIMD v3.7.2
  [94e857df] SIMDTypes v0.1.0
  [0bca4576] SciMLBase v2.148.0
  [19f34311] SciMLJacobianOperators v0.1.12
  [a6db7da4] SciMLLogging v1.9.1
  [c0aeaf25] SciMLOperators v1.15.1
  [431bcebd] SciMLPublic v1.0.1
  [53ae85a6] SciMLStructures v1.10.0
  [6c6a2e73] Scratch v1.3.0
  [91c51154] SentinelArrays v1.4.9
  [efcf1570] Setfield v1.1.2
  [65257c39] ShaderAbstractions v0.5.0
  [992d4aef] Showoff v1.0.3
  [73760f76] SignedDistanceFields v0.4.1
  [727e6d20] SimpleNonlinearSolve v2.11.0
  [699a6c99] SimpleTraits v0.9.5
  [45858cf5] Sixel v0.1.5
  [a2af1166] SortingAlgorithms v1.2.2
  [0a514795] SparseMatrixColorings v0.4.24
  [276daf66] SpecialFunctions v2.7.1
  [860ef19b] StableRNGs v1.0.4
  [cae243ae] StackViews v0.1.2
  [64909d44] StateSelection v1.4.0
  [aedffcd0] Static v1.3.1
  [0d7ed370] StaticArrayInterface v1.9.0
  [90137ffa] StaticArrays v1.9.17
  [1e83bf80] StaticArraysCore v1.4.4
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.8.0
  [2913bbd2] StatsBase v0.34.10
  [4c63d2b9] StatsFuns v1.5.2
  [7792a7ef] StrideArraysCore v0.5.8
  [892a3eda] StringManipulation v0.4.4
  [09ab397b] StructArrays v0.7.2
  [ec057cc2] StructUtils v2.6.3
  [2efcf032] SymbolicIndexingInterface v0.3.46
  [19f23fe9] SymbolicLimits v1.1.0
  [d1185830] SymbolicUtils v4.19.0
  [0c5d862f] Symbolics v7.15.3
  [dc5dba14] TZJData v1.5.0+2025b
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.1
  [ed4db957] TaskLocalValues v0.1.3
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [8290d209] ThreadingUtilities v0.5.5
  [731e570b] TiffImages v0.11.8
  [f269a46b] TimeZones v1.22.2
  [a759f4b9] TimerOutputs v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.3
  [981d1d27] TriplotBase v0.1.0
  [781d530d] TruncatedStacktraces v1.4.0
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.28.0
  [e17b2a0c] UnsafePointers v1.0.0
  [d30d5f5c] WeakCacheSets v0.1.0
  [ea10d353] WeakRefStrings v1.4.2
  [e3aaa7dc] WebP v0.1.3
  [efce3f68] WoodburyMatrices v1.1.0
  [76eceee3] WorkerUtilities v1.6.1
  [6e34b625] Bzip2_jll v1.0.9+0
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.18.5+1
  [ee1fde0b] Dbus_jll v1.16.2+0
  [2cbbab25] DuckDB_jll v1.4.4+0
  [5ae413db] EarCut_jll v2.2.4+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.7.3+0
  [b22a6f82] FFMPEG_jll v8.0.1+0
  [a3f928ae] Fontconfig_jll v2.17.1+0
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  [59f7168a] Giflib_jll v5.2.3+0
  [7746bdde] Glib_jll v2.86.3+0
  [3b182d85] Graphite2_jll v1.3.15+0
  [2e76f6c2] HarfBuzz_jll v8.5.1+0
  [905a6f67] Imath_jll v3.2.2+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
  [aacddb02] JpegTurbo_jll v3.1.4+0
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.0.1+0
  [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] LZO_jll v2.10.3+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.41.3+0
  [89763e89] Libtiff_jll v4.7.2+0
  [38a345b3] Libuuid_jll v2.41.3+0
  [856f044c] MKL_jll v2025.2.0+0
  [e7412a2a] Ogg_jll v1.3.6+0
  [6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.30+0
  [18a262bb] OpenEXR_jll v3.4.4+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.6.1+0
  [36c8627f] Pango_jll v1.57.0+0
⌅ [30392449] Pixman_jll v0.44.2+0
  [f50d1b31] Rmath_jll v0.5.1+0
  [a2964d1f] Wayland_jll v1.24.0+0
  [ffd25f8a] XZ_jll v5.8.2+0
  [4f6342f7] Xorg_libX11_jll v1.8.13+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.8+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.2+0
  [a51aa0fd] Xorg_libXi_jll v1.8.3+0
  [d1454406] Xorg_libXinerama_jll v1.1.7+0
  [ec84b674] Xorg_libXrandr_jll v1.5.6+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.2.0+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [9a68df92] isoband_jll v0.2.3+0
  [a4ae2306] libaom_jll v3.13.1+0
  [0ac62f75] libass_jll v0.17.4+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [b53b4c65] libpng_jll v1.6.55+0
  [075b6546] libsixel_jll v1.10.5+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [c5f90fcd] libwebp_jll v1.6.0+0
  [f8abcde7] micromamba_jll v2.3.1+0
  [1317d2d5] oneTBB_jll v2022.0.0+1
  [4d7b5844] pixi_jll v0.41.3+0
⌅ [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+0
  [d8fb68d0] xkbcommon_jll v1.13.0+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [8bf52ea8] CRC32c v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.7.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.12.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.3.0
  [44cfe95a] Pkg v1.12.1
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.3.0+1
  [deac9b47] LibCURL_jll v8.15.0+0
  [e37daf67] LibGit2_jll v1.9.0+0
  [29816b5a] LibSSH2_jll v1.11.3+1
  [14a3606d] MozillaCACerts_jll v2025.11.4
  [4536629a] OpenBLAS_jll v0.3.29+0
  [05823500] OpenLibm_jll v0.8.7+0
  [458c3c95] OpenSSL_jll v3.5.4+0
  [efcefdf7] PCRE2_jll v10.44.0+1
  [bea87d4a] SuiteSparse_jll v7.8.3+2
  [83775a58] Zlib_jll v1.3.1+2
  [8e850b90] libblastrampoline_jll v5.15.0+0
  [8e850ede] nghttp2_jll v1.64.0+1
  [3f19e933] p7zip_jll v17.7.0+0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`
  • Output of versioninfo()
julia> versioninfo()
Julia Version 1.12.5
Commit 5fe89b8ddc (2026-02-09 16:05 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 24 × Intel(R) Xeon(R) W-2265 CPU @ 3.50GHz
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, cascadelake)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 24 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_VSCODE_REPL = 1

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