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Building ODEProblem From ODESystem Causes AutoDiff To Fail #2856

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nrummel opened this issue Jul 12, 2024 · 2 comments
Closed

Building ODEProblem From ODESystem Causes AutoDiff To Fail #2856

nrummel opened this issue Jul 12, 2024 · 2 comments
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@AayushSabharwal
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@nrummel
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nrummel commented Jul 12, 2024 •
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Sorry for bothering you again Chris. I really want to use ModelingToolKit in package I am developing. The idea of it seems to fit perfectly with my use case, but I am running into a couple bugs. I'll make two different Issues so they can be handled separately.

When I create a ODEProblem from an ODESystem, rather than from a function, initial condition, and time span, then try to use AutoDiff (through ForwardDiff.jl), I am getting all zeros for the gradient (and hessian), rather than seeing something true. I updated to the most recent of ModelingToolKit to v9.24.0 to make sure that was not a factor.

Here contained example that illustrates the issue:

@info "Loading external dependencies"
using OrdinaryDiffEq, ModelingToolkit
using ModelingToolkit: D_nounits, t_nounits as t
using DiffEqParamEstim, Optimization, OptimizationOptimJL
using Statistics, Random 
@info "Build test problem"
## Call from ODEProblem Directly
function f(du, u, w, t)
   du[1] = w[1] * u[2] + w[2] * u[1]^3 + w[3] * u[1]^2 + w[4] * u[3] 
   du[2] = w[5] + w[6] * u[1]^2 + w[7] * u[2] 
   du[3] = w[8] * u[1] + w[9] + w[10] * u[3]
end
u0= [-1.31; -7.6; -0.2]
tspan = (0.0, 10.0)
wTrue = [10,-10,30,-10,10,-50,-10,0.04,0.0319,-0.01]
D = length(u0)
J = length(wTrue)
M = 1024
σ = 0.1 # snr for noise to data
μ = 0.1 # snr for initCond 
Random.seed!(1)
w0 = wTrue + μ .* abs.(wTrue) .* rand(J)
opt = OptimizationOptimJL.NewtonTrustRegion();
##
prob = ODEProblem(f, u0, tspan, wTrue)
sol = solve(prob, Rosenbrock23())
tt = collect(range(tspan[1], stop = tspan[end], length = M))
U_exact = reduce(hcat, sol(tt[i]) for i in 1:M)
U = U_exact + σ*sqrt(mean(U_exact.^2))*rand(D,M);
##
obj = build_loss_objective(prob, Rosenbrock23(), L2Loss(tt, U), Optimization.AutoForwardDiff())
optprob = Optimization.OptimizationProblem(obj, w0);
##
@info "Solving ODE param estimation problem with default ODEProb construction"
res = solve(optprob, opt, show_trace=true, show_every=100);
## try to use ModelingToolkit
## See Wendy paper
@mtkmodel HindmarshRoseModel begin
    @variables begin
        u1(t) = -1.31
        u2(t) = -7.6
        u3(t) = -0.2
    end
    @parameters begin
        w1 = 10
        w2 = -10
        w3 = 30
        w4 = -10
        w5 = 10
        w6 = -50
        w7 = -10
        w8 = 0.04
        w9 = 0.0319
        w10= -0.01
    end
    @equations begin
        D_nounits(u1) ~ w1 * u2 + w2 * u1^3 + w3 * u1^2 + w4 * u3 
        D_nounits(u2) ~ w5 + w6 * u1^2 + w7 * u2 
        D_nounits(u3) ~ w8 *u1 + w9 + w10 * u3
    end
end
@mtkbuild HINDMARSH_ROSE_SYSTEM = HindmarshRoseModel()
mtk_prob = ODEProblem(
    HINDMARSH_ROSE_SYSTEM, 
    ModelingToolkit.getdefault.(unknowns(HINDMARSH_ROSE_SYSTEM)), 
    tspan, 
    ModelingToolkit.getdefault.(parameters(HINDMARSH_ROSE_SYSTEM))
);
##
mtk_obj = build_loss_objective(mtk_prob, Rosenbrock23(), L2Loss(tt, U), Optimization.AutoForwardDiff())
mtk_optprob = Optimization.OptimizationProblem(mtk_obj, w0);
##
@info "Solving ODE param estimation problem with default MTK construction"
res = solve(mtk_optprob, opt, show_trace=true, show_every=100);
[ Info: Loading external dependencies
[ Info: Build test problem
[ Info: Solving ODE param estimation problem with default ODEProb construction
Iter     Function value   Gradient norm 
     0     1.312220e+04     1.305949e+05
 * time: 0.00011086463928222656
 * g(x): [-11835.392502819925, -9691.874869015533, 156.1049423257333, -663.0827228604223, 4414.979301648392, 3401.8983455768353, -16562.305669189358, 69040.26000225743, -130594.92982876718, 22732.5495097705]
 * reached_subproblem_solution: true
 * h(x): [-62845.94819434995 -97384.48440634544 -16156.682787035135 -3302.967251268705 33588.53008405125 22425.22567804772 -119028.39406901498 992829.1622789137 -2.061453836668006e6 324160.5471088927; -97384.48440634586 -120374.86852514069 -13103.651990135877 -5530.567493433912 45842.81050147195 31672.0700236485 -163122.6526739951 1.1653614367854204e6 -2.373263733398785e6 377015.87573420757; -16156.68278703505 -13103.651990136053 524.5852754025087 -1009.3018417674406 6380.571877247003 4705.357018856951 -22804.799125601785 113023.25181513408 -214290.95594199694 35299.40014421789; -3302.9672512683173 -5530.567493433798 -1009.3018417674479 -173.67182381047246 1896.2266218368597 1211.5760467176715 -6515.854304714365 51269.5393485764 -109817.9273281088 16916.77013686628; 33588.53008404843 45842.810501475775 6380.571877247027 1896.2266218369043 -17101.481071005666 -11314.851881762375 59577.716386724955 -460222.10215340357 954277.8226441568 -150437.95908093377; 22425.22567804585 31672.070023649158 4705.357018856973 1211.576046717452 -11314.851881762303 -7561.185197110738 40193.457567402365 -318409.4406011705 659266.1723043135 -103908.85994089546; -119028.39406900956 -163122.65267399285 -22804.799125602 -6515.85430471422 59577.71638672538 40193.45756739892 -211596.17710204114 1.6263770592364336e6 -3.3557797033448154e6 529773.325127917; 992829.1622788592 1.1653614367854064e6 113023.25181513846 51269.53934857463 -460222.10215342394 -318409.44060118176 1.626377059236409e6 -1.0725105955977047e7 2.179154503796496e7 -3.2896352567722457e6; -2.0614538366680928e6 -2.3732637333989474e6 -214290.95594200576 -109817.9273281094 954277.822644195 659266.1723043174 -3.3557797033447195e6 2.1791545037964992e7 -4.410993875327773e7 6.721912218517469e6; 324160.54710888927 377015.8757341983 35299.40014421667 16916.770136865394 -150437.95908093167 -103908.85994088984 529773.3251279388 -3.2896352567724423e6 6.721912218517537e6 -1.0059845601990005e6]
 * x: [10.049171822148121, -9.880921183592493, 31.17981306967584, -9.975905689475471, 10.691857287534221, -46.162409729563045, -9.912746951087257, 0.043422870736438295, 0.034460168664655934, -0.009338574648315232]
 * lambda: NaN
 * interior: true
 * hard case: false
 * delta: 1.0
[ Info: Solving ODE param estimation problem with default MTK construction
┌ Warning: At t=0.01483221772898653, dt was forced below floating point epsilon 1.734723475976807e-18, and step error estimate = 1.8687259587471354. Aborting. There is either an error in your model specification or the true solution is unstable (or the true solution can not be represented in the precision of ForwardDiff.Dual{ForwardDiff.Tag{OptimizationForwardDiffExt.var"#37#55"{OptimizationFunction{true, AutoForwardDiff{nothing, Nothing}, DiffEqParamEstim.var"#29#30"{Nothing, typeof(DiffEqParamEstim.STANDARD_PROB_GENERATOR), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{Vector{Float64}}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9c845606, 0xf2c37616, 0x9c88dfd9, 0xf11cefcd, 0x25a942b6), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1,), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe76332ee, 0x2e783b89, 0x43ba34c1, 0x38322bf4, 0x12861fd3), Nothing}}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#717"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe6a61356, 0x434e4e39, 0x499c058e, 0x64876f67, 0xadde982b), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xcc0ab0a6, 0x935170f1, 0x1d2f9bbf, 0x7646761d, 0xa0789215), Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ODESystem}, Nothing, ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Rosenbrock23{0, true, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!)}, L2Loss{Vector{Float64}, Matrix{Float64}, Nothing, Nothing, Nothing}, Nothing, Tuple{}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, OptimizationBase.ReInitCache{Vector{Float64}, SciMLBase.NullParameters}}, Float64}, Float64, 10}).
└ @ SciMLBase ~/.julia/packages/SciMLBase/rR75x/src/integrator_interface.jl:600
┌ Warning: At t=0.014818212783429985, dt was forced below floating point epsilon 1.734723475976807e-18, and step error estimate = 53.2934187330348. Aborting. There is either an error in your model specification or the true solution is unstable (or the true solution can not be represented in the precision of Float64).
└ @ SciMLBase ~/.julia/packages/SciMLBase/rR75x/src/integrator_interface.jl:600
┌ Warning: At t=0.014850966833559073, dt was forced below floating point epsilon 1.734723475976807e-18, and step error estimate = 1.7472423420602798. Aborting. There is either an error in your model specification or the true solution is unstable (or the true solution can not be represented in the precision of ForwardDiff.Dual{ForwardDiff.Tag{OptimizationForwardDiffExt.var"#37#55"{OptimizationFunction{true, AutoForwardDiff{nothing, Nothing}, DiffEqParamEstim.var"#29#30"{Nothing, typeof(DiffEqParamEstim.STANDARD_PROB_GENERATOR), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{Vector{Float64}}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9c845606, 0xf2c37616, 0x9c88dfd9, 0xf11cefcd, 0x25a942b6), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1,), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe76332ee, 0x2e783b89, 0x43ba34c1, 0x38322bf4, 0x12861fd3), Nothing}}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#717"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe6a61356, 0x434e4e39, 0x499c058e, 0x64876f67, 0xadde982b), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xcc0ab0a6, 0x935170f1, 0x1d2f9bbf, 0x7646761d, 0xa0789215), Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ODESystem}, Nothing, ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Rosenbrock23{0, true, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!)}, L2Loss{Vector{Float64}, Matrix{Float64}, Nothing, Nothing, Nothing}, Nothing, Tuple{}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, OptimizationBase.ReInitCache{Vector{Float64}, SciMLBase.NullParameters}}, Float64}, ForwardDiff.Dual{ForwardDiff.Tag{OptimizationForwardDiffExt.var"#37#55"{OptimizationFunction{true, AutoForwardDiff{nothing, Nothing}, DiffEqParamEstim.var"#29#30"{Nothing, typeof(DiffEqParamEstim.STANDARD_PROB_GENERATOR), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{Vector{Float64}}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x9c845606, 0xf2c37616, 0x9c88dfd9, 0xf11cefcd, 0x25a942b6), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1,), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe76332ee, 0x2e783b89, 0x43ba34c1, 0x38322bf4, 0x12861fd3), Nothing}}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#717"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xe6a61356, 0x434e4e39, 0x499c058e, 0x64876f67, 0xadde982b), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xcc0ab0a6, 0x935170f1, 0x1d2f9bbf, 0x7646761d, 0xa0789215), Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.ObservedFunctionCache{ODESystem}, Nothing, ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.StandardODEProblem}, Rosenbrock23{0, true, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!)}, L2Loss{Vector{Float64}, Matrix{Float64}, Nothing, Nothing, Nothing}, Nothing, Tuple{}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED_NO_TIME), Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, OptimizationBase.ReInitCache{Vector{Float64}, SciMLBase.NullParameters}}, Float64}, Float64, 10}, 10}).
└ @ SciMLBase ~/.julia/packages/SciMLBase/rR75x/src/integrator_interface.jl:600
Iter     Function value   Gradient norm 
     0              Inf     0.000000e+00
 * time: 5.698204040527344e-5
 * g(x): [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
 * reached_subproblem_solution: true
 * h(x): [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0]
 * x: [10.049171822148121, -9.880921183592493, 31.17981306967584, -9.975905689475471, 10.691857287534221, -46.162409729563045, -9.912746951087257, 0.043422870736438295, 0.034460168664655934, -0.009338574648315232]
 * lambda: NaN
 * interior: true
 * hard case: false
 * delta: 1.0

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
Status `~/.julia/dev/WENDy.jl/Project.toml`
  [fbb218c0] BSON v0.3.9
  [6e4b80f9] BenchmarkTools v1.5.0
  [1130ab10] DiffEqParamEstim v2.2.0
  [31c24e10] Distributions v0.25.109
  [7a1cc6ca] FFTW v1.8.0
  [6a86dc24] FiniteDiff v2.23.1
  [f6369f11] ForwardDiff v0.10.36
  [09f84164] HypothesisTests v0.11.0
  [6a3955dd] ImageFiltering v0.7.8
  [a98d9a8b] Interpolations v0.15.1
  [b964fa9f] LaTeXStrings v1.3.1
  [bdcacae8] LoopVectorization v0.12.171
  [23992714] MAT v0.10.7
  [961ee093] ModelingToolkit v9.24.0
  [8913a72c] NonlinearSolve v3.13.1
  [429524aa] Optim v1.9.4 `~/.julia/dev/Optim`
  [7f7a1694] Optimization v3.27.0
  [36348300] OptimizationOptimJL v0.3.2
  [1dea7af3] OrdinaryDiffEq v6.85.0
  [f0f68f2c] PlotlyJS v0.18.13
  [91a5bcdd] Plots v1.40.5
  [d236fae5] PreallocationTools v0.4.22
  [ae029012] Requires v1.3.0
  [295af30f] Revise v3.5.15
  [0c568c97] SFN v0.1.0 `../SFN.jl`
  [90137ffa] StaticArrays v1.9.7
  [d1185830] SymbolicUtils v2.1.0
  [0c5d862f] Symbolics v5.33.0
  [bc48ee85] Tullio v0.3.7
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [9a3f8284] Random
  [10745b16] Statistics v1.10.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Project WENDy v1.0.0-DEV
Status `~/.julia/dev/WENDy.jl/Manifest.toml`
  [47edcb42] ADTypes v1.5.3
  [621f4979] AbstractFFTs v1.5.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.36
  [79e6a3ab] Adapt v4.0.4
  [66dad0bd] AliasTables v1.1.3
  [ec485272] ArnoldiMethod v0.4.0
  [7d9fca2a] Arpack v0.5.4
  [4fba245c] ArrayInterface v7.12.0
  [4c555306] ArrayLayouts v1.10.2
  [bf4720bc] AssetRegistry v0.1.0
  [13072b0f] AxisAlgorithms v1.1.0
  [fbb218c0] BSON v0.3.9
  [6e4b80f9] BenchmarkTools v1.5.0
  [e2ed5e7c] Bijections v0.1.7
  [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [ad839575] Blink v0.12.9
  [e1450e63] BufferedStreams v1.2.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.6
  [00ebfdb7] CSTParser v3.4.3
  [49dc2e85] Calculus v0.5.1
  [aafaddc9] CatIndices v0.2.2
  [082447d4] ChainRules v1.69.0
  [d360d2e6] ChainRulesCore v1.24.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [da1fd8a2] CodeTracking v1.3.5
  [944b1d66] CodecZlib v0.7.5
  [35d6a980] ColorSchemes v3.25.0
  [3da002f7] ColorTypes v0.11.5
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.11
  [861a8166] Combinatorics v1.0.2
  [a80b9123] CommonMark v0.8.12
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.15.0
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [ed09eef8] ComputationalResources v0.3.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.4.2
  [88cd18e8] ConsoleProgressMonitor v0.1.2
  [187b0558] ConstructionBase v1.5.5
  [d38c429a] Contour v0.6.3
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.1.1
  [dc8bdbbb] CustomUnitRanges v1.0.2
  [717857b8] DSP v0.7.9
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.20
  [e2d170a0] DataValueInterfaces v1.0.0
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.2
  [39dd38d3] Dierckx v0.5.3
  [2b5f629d] DiffEqBase v6.151.5
  [459566f4] DiffEqCallbacks v3.6.2
  [1130ab10] DiffEqParamEstim v2.2.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [a0c0ee7d] DifferentiationInterface v0.5.7
  [31c24e10] Distributions v0.25.109
  [ffbed154] DocStringExtensions v0.9.3
  [5b8099bc] DomainSets v0.7.14
  [fa6b7ba4] DualNumbers v0.6.8
⌅ [7c1d4256] DynamicPolynomials v0.5.7
⌅ [06fc5a27] DynamicQuantities v0.13.2
  [b7d42ee7] Einsum v0.4.1
  [4e289a0a] EnumX v1.0.4
  [7da242da] Enzyme v0.12.22
  [f151be2c] EnzymeCore v0.7.6
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.26.1
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [4f61f5a4] FFTViews v0.3.2
  [7a1cc6ca] FFTW v1.8.0
  [7034ab61] FastBroadcast v0.3.4
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.0.2
  [29a986be] FastLapackInterface v2.0.4
  [1a297f60] FillArrays v1.11.0
  [64ca27bc] FindFirstFunctions v1.2.0
  [6a86dc24] FiniteDiff v2.23.1
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [de31a74c] FunctionalCollections v0.5.0
  [d9f16b24] Functors v0.4.11
  [0c68f7d7] GPUArrays v10.2.3
  [46192b85] GPUArraysCore v0.1.6
  [61eb1bfa] GPUCompiler v0.26.7
  [28b8d3ca] GR v0.73.6
  [c145ed77] GenericSchur v0.5.4
  [c27321d9] Glob v1.3.1
  [86223c79] Graphs v1.11.2
  [42e2da0e] Grisu v1.0.2
  [f67ccb44] HDF5 v0.17.2
  [cd3eb016] HTTP v1.10.8
  [9fb69e20] Hiccup v0.2.2
  [3e5b6fbb] HostCPUFeatures v0.1.17
  [1baab800] HybridArrays v0.4.16
  [34004b35] HypergeometricFunctions v0.3.23
  [09f84164] HypothesisTests v0.11.0
  [7869d1d1] IRTools v0.4.14
  [615f187c] IfElse v0.1.1
  [c817782e] ImageBase v0.1.7
  [a09fc81d] ImageCore v0.10.2
  [6a3955dd] ImageFiltering v0.7.8
  [313cdc1a] Indexing v1.1.1
  [d25df0c9] Inflate v0.1.5
  [a98d9a8b] Interpolations v0.15.1
  [8197267c] IntervalSets v0.7.10
  [3587e190] InverseFunctions v0.1.14
  [92d709cd] IrrationalConstants v0.2.2
  [c8e1da08] IterTools v1.10.0
  [42fd0dbc] IterativeSolvers v0.9.4
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [97c1335a] JSExpr v0.5.4
  [682c06a0] JSON v0.21.4
  [98e50ef6] JuliaFormatter v1.0.57
  [aa1ae85d] JuliaInterpreter v0.9.32
  [ccbc3e58] JumpProcesses v9.11.1
  [ef3ab10e] KLU v0.6.0
  [2c470bb0] Kronecker v0.5.5
  [ba0b0d4f] Krylov v0.9.6
  [0b1a1467] KrylovKit v0.8.1
  [5be7bae1] LBFGSB v0.4.1
  [929cbde3] LLVM v8.0.0
  [b964fa9f] LaTeXStrings v1.3.1
  [2ee39098] LabelledArrays v1.16.0
  [984bce1d] LambertW v0.4.6
  [23fbe1c1] Latexify v0.16.4
  [10f19ff3] LayoutPointers v0.1.17
  [50d2b5c4] Lazy v0.15.1
  [5078a376] LazyArrays v2.1.8
  [1d6d02ad] LeftChildRightSiblingTrees v0.2.0
  [d3d80556] LineSearches v7.2.0
  [7a12625a] LinearMaps v3.11.3
  [5c8ed15e] LinearOperators v2.8.0
  [7ed4a6bd] LinearSolve v2.30.2
  [2ab3a3ac] LogExpFunctions v0.3.28
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.171
  [6f1432cf] LoweredCodeUtils v2.4.8
  [23992714] MAT v0.10.7
  [d8e11817] MLStyle v0.4.17
  [3da0fdf6] MPIPreferences v0.1.11
  [1914dd2f] MacroTools v0.5.13
  [af67fdf4] ManifoldDiff v0.3.10
  [1cead3c2] Manifolds v0.9.20
  [3362f125] ManifoldsBase v0.15.10
  [d125e4d3] ManualMemory v0.1.8
  [dbb5928d] MappedArrays v0.4.2
  [99c1a7ee] MatrixEquations v2.4.2
  [bb5d69b7] MaybeInplace v0.1.3
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [e1d29d7a] Missings v1.2.0
  [961ee093] ModelingToolkit v9.24.0
  [e94cdb99] MosaicViews v0.3.4
  [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.6
  [ffc61752] Mustache v1.0.19
  [d8a4904e] MutableArithmetics v1.4.5
  [a975b10e] Mux v1.0.2
  [d41bc354] NLSolversBase v7.8.3
  [77ba4419] NaNMath v1.0.2
  [356022a1] NamedDims v1.2.2
  [8913a72c] NonlinearSolve v3.13.1
  [d8793406] ObjectFile v0.4.1
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.14.1
  [4d8831e6] OpenSSL v1.4.3
  [429524aa] Optim v1.9.4 `~/.julia/dev/Optim`
  [7f7a1694] Optimization v3.27.0
  [bca83a33] OptimizationBase v1.3.3
  [36348300] OptimizationOptimJL v0.3.2
  [bac558e1] OrderedCollections v1.6.3
  [1dea7af3] OrdinaryDiffEq v6.85.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [5432bcbf] PaddedViews v0.5.12
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [06bb1623] PenaltyFunctions v0.3.0
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [ccf2f8ad] PlotThemes v3.2.0
  [995b91a9] PlotUtils v1.4.1
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.13
  [f2990250] PlotlyKaleido v2.2.4
  [91a5bcdd] Plots v1.40.5
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.15
  [1d0040c9] PolyesterWeave v0.2.2
  [f27b6e38] Polynomials v4.0.11
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.22
  [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [33c8b6b6] ProgressLogging v0.1.4
  [92933f4c] ProgressMeter v1.10.0
  [43287f4e] PtrArrays v1.2.0
  [1fd47b50] QuadGK v2.9.4
  [94ee1d12] Quaternions v0.7.6
  [e6cf234a] RandomNumbers v1.5.3
  [3e7891d3] RandomizedPreconditioners v0.1.7
  [c84ed2f1] Ratios v0.4.5
  [c1ae055f] RealDot v0.1.0
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.26.0
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [37e2e3b7] ReverseDiff v1.15.3
  [295af30f] Revise v3.5.15
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.1.5
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [0c568c97] SFN v0.1.0 `../SFN.jl`
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.43
  [0bca4576] SciMLBase v2.42.0
  [c0aeaf25] SciMLOperators v0.3.8
  [53ae85a6] SciMLStructures v1.4.1
  [6c6a2e73] Scratch v1.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
  [727e6d20] SimpleNonlinearSolve v1.10.1
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [47aef6b3] SimpleWeightedGraphs v1.4.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.19.0
  [dc90abb0] SparseInverseSubset v0.1.2
  [0a514795] SparseMatrixColorings v0.3.3
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.4.0
  [cae243ae] StackViews v0.1.1
  [aedffcd0] Static v1.1.0
  [0d7ed370] StaticArrayInterface v1.5.1
  [90137ffa] StaticArrays v1.9.7
  [1e83bf80] StaticArraysCore v1.4.3
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.3
  [4c63d2b9] StatsFuns v1.3.1
  [7792a7ef] StrideArraysCore v0.5.7
  [09ab397b] StructArrays v0.6.18
  [53d494c1] StructIO v0.3.0
⌅ [4297ee4d] SymbolicAnalysis v0.1.0
  [2efcf032] SymbolicIndexingInterface v0.3.26
  [19f23fe9] SymbolicLimits v0.2.1
  [d1185830] SymbolicUtils v2.1.0
  [0c5d862f] Symbolics v5.33.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
⌅ [8ea1fca8] TermInterface v0.4.1
  [5d786b92] TerminalLoggers v0.1.7
  [8290d209] ThreadingUtilities v0.5.2
  [06e1c1a7] TiledIteration v0.5.0
  [a759f4b9] TimerOutputs v0.5.24
  [0796e94c] Tokenize v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.0
  [d5829a12] TriangularSolve v0.2.1
  [410a4b4d] Tricks v0.1.8
  [781d530d] TruncatedStacktraces v1.4.0
  [bc48ee85] Tullio v0.3.7
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.20.0
  [45397f5d] UnitfulLatexify v1.6.4
  [a7c27f48] Unityper v0.1.6
  [41fe7b60] Unzip v0.2.0
  [409d34a3] VectorInterface v0.4.6
  [3d5dd08c] VectorizationBase v0.21.70
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [efce3f68] WoodburyMatrices v1.0.0
  [e88e6eb3] Zygote v0.6.70
  [700de1a5] ZygoteRules v0.2.5
⌅ [68821587] Arpack_jll v3.5.1+1
  [6e34b625] Bzip2_jll v1.0.8+1
  [83423d85] Cairo_jll v1.18.0+2
  [cd4c43a9] Dierckx_jll v0.1.0+0
  [7cc45869] Enzyme_jll v0.0.133+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.6.2+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.10+0
  [a3f928ae] Fontconfig_jll v2.13.96+0
  [d7e528f0] FreeType2_jll v2.13.2+0
  [559328eb] FriBidi_jll v1.0.14+0
  [0656b61e] GLFW_jll v3.4.0+0
  [d2c73de3] GR_jll v0.73.6+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.80.2+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [0234f1f7] HDF5_jll v1.14.3+3
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [e33a78d0] Hwloc_jll v2.11.0+0
  [1d5cc7b8] IntelOpenMP_jll v2024.2.0+0
  [aacddb02] JpegTurbo_jll v3.0.3+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
⌅ [88015f11] LERC_jll v3.0.0+1
  [dad2f222] LLVMExtra_jll v0.0.30+0
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.2+0
  [81d17ec3] L_BFGS_B_jll v3.0.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.11+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.49.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.40.1+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.40.1+0
  [856f044c] MKL_jll v2024.2.0+0
  [7cb0a576] MPICH_jll v4.2.1+1
  [f1f71cc9] MPItrampoline_jll v5.4.0+0
  [9237b28f] MicrosoftMPI_jll v10.1.4+2
  [e7412a2a] Ogg_jll v1.3.5+1
⌅ [fe0851c0] OpenMPI_jll v4.1.6+0
  [458c3c95] OpenSSL_jll v3.0.14+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.43.4+0
  [c0090381] Qt6Base_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.4.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+1
  [2381bf8a] Wayland_protocols_jll v1.31.0+0
  [02c8fc9c] XML2_jll v2.13.1+0
  [aed1982a] XSLT_jll v1.1.41+0
  [ffd25f8a] XZ_jll v5.4.6+0
  [f67eecfb] Xorg_libICE_jll v1.1.1+0
  [c834827a] Xorg_libSM_jll v1.2.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.11+0
  [935fb764] Xorg_libXcursor_jll v1.2.0+4
  [a3789734] Xorg_libXdmcp_jll v1.1.4+0
  [1082639a] Xorg_libXext_jll v1.3.6+0
  [d091e8ba] Xorg_libXfixes_jll v5.0.3+4
  [a51aa0fd] Xorg_libXi_jll v1.7.10+4
  [d1454406] Xorg_libXinerama_jll v1.1.4+4
  [ec84b674] Xorg_libXrandr_jll v1.5.2+4
  [ea2f1a96] Xorg_libXrender_jll v0.9.11+0
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.0+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.0+0
  [3161d3a3] Zstd_jll v1.5.6+0
  [35ca27e7] eudev_jll v3.2.9+0
⌅ [214eeab7] fzf_jll v0.43.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [477f73a3] libaec_jll v1.1.2+0
  [a4ae2306] libaom_jll v3.9.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.43+1
  [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [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
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [9abbd945] Profile
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [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
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
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 1.10.4
Commit 48d4fd48430 (2024-06-04 10:41 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: macOS (x86_64-apple-darwin22.4.0)
  CPU: 8 × Intel(R) Core(TM) i7-7820HQ CPU @ 2.90GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, skylake)
Threads: 4 default, 0 interactive, 2 GC (on 8 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_NUM_THREADS = 4
@nrummel nrummel added the bug Something isn't working label Jul 12, 2024
@ChrisRackauckas
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@AayushSabharwal this is handled now?

@AayushSabharwal
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Yes, this runs as-is

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