I’m getting an error, taking derivatives of expressions with quotients, that seems to be coming from Symbolics.jl or maybe SymbolicUtils.jl. It may be related to https://github.com/JuliaSymbolics/Symbolics.jl/issues/1126, but I’m not sure. In any case I’m posting here as there are many downstream users of Symbolics and this is fairly basic functionality.
Here’s an MWE:
using ModelingToolkit
function main()
@variables t a(t) b(t)
D = Differential(t)
q = a / b
for i in 1:5
q2 = deepcopy(q)
q3 = D(q2)
q4 = expand_derivatives(q3)
q = deepcopy(q4)
display(q)
end
end
main()
and here’s a stacktrace:
ERROR: LoadError: BoundsError: attempt to access 1-element Vector{Any} at index [2]
Stacktrace:
[1] throw_boundserror(A::Vector{Any}, I::Tuple{Int64})
@ Base ./essentials.jl:14
[2] getindex(A::Vector{Any}, i::Int64)
@ Base ./essentials.jl:904
[3] expand_derivatives(O::SymbolicUtils.BasicSymbolic{Real}, simplify::Bool; occurrences::SymbolicUtils.BasicSymbolic{Real}) (repeats 4 times)
@ Symbolics ~/.julia/dev/Symbolics/src/diff.jl:257
[4] expand_derivatives(O::SymbolicUtils.BasicSymbolic{Real}, simplify::Bool; occurrences::Nothing)
@ Symbolics ~/.julia/dev/Symbolics/src/diff.jl:257
[5] expand_derivatives(n::Num, simplify::Bool; occurrences::Nothing)
@ Symbolics ~/.julia/dev/Symbolics/src/diff.jl:299
[6] expand_derivatives
@ ~/.julia/dev/Symbolics/src/diff.jl:298 [inlined]
[7] expand_derivatives(n::Num)
@ Symbolics ~/.julia/dev/Symbolics/src/diff.jl:298
[8] main()
@ Main ~/ODEParameterEstimationTrash/MWE-new.jl:12
[9] top-level scope
@ ~/ODEParameterEstimationTrash/MWE-new.jl:18
[10] include(fname::String)
@ Main ./sysimg.jl:38
[11] top-level scope
@ REPL[1]:1
in expression starting at /home/orebas/ODEParameterEstimationTrash/MWE-new.jl:18
In case it helps, the package I’m working on didn’t seem to experience this error a few months ago. However, there a couple of related seeming issues in the Symbolics github, some go back to 2022.
I’m using 1.11rc2, on Windows in WSL2. Here’s the output of status --manifest
(@v1.11) pkg> status --manifest
Status `~/.julia/environments/v1.11/Manifest.toml`
[47edcb42] ADTypes v1.7.1
[621f4979] AbstractFFTs v1.5.0
[398f06c4] AbstractLattices v0.3.0
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.37
[79e6a3ab] Adapt v4.0.4
[66dad0bd] AliasTables v1.1.3
⌅ [fb37089c] Arblib v0.8.1
[ec485272] ArnoldiMethod v0.4.0
[4fba245c] ArrayInterface v7.15.0
[4c555306] ArrayLayouts v1.10.2
[aae01518] BandedMatrices v1.7.2
[91aaffc3] BaryRational v1.1.0
[e2ed5e7c] Bijections v0.1.7
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[764a87c0] BoundaryValueDiffEq v5.9.1
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.6
[00ebfdb7] CSTParser v3.4.3
[49dc2e85] Calculus v0.5.1
[082447d4] ChainRules v1.69.0
[d360d2e6] ChainRulesCore v1.24.0
[f51149dc] ChainRulesOverloadGeneration v0.1.4
[fb6a15b2] CloseOpenIntervals v0.1.13
[da1fd8a2] CodeTracking v1.3.6
[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 v4.16.0
[b152e2b5] CompositeTypes v0.1.4
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[88cd18e8] ConsoleProgressMonitor v0.1.2
[187b0558] ConstructionBase v1.5.6
[adafc99b] CpuId v0.3.1
[a8cc5b0e] Crayons v4.1.1
[717857b8] DSP v0.7.9
[9a962f9c] DataAPI v1.16.0
[864edb3b] DataStructures v0.18.20
[e2d170a0] DataValueInterfaces v1.0.0
[bcd4f6db] DelayDiffEq v5.47.4
[8bb1440f] DelimitedFiles v1.9.1
[85a47980] Dictionaries v0.4.2
[2b5f629d] DiffEqBase v6.152.2
[459566f4] DiffEqCallbacks v3.7.0
[77a26b50] DiffEqNoiseProcess v5.22.0
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[0c46a032] DifferentialEquations v7.13.0
[a0c0ee7d] DifferentiationInterface v0.5.11
[b4f34e82] Distances v0.10.11
[31c24e10] Distributions v0.25.110
[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
[fdbdab4c] ElasticArrays v1.2.12
[4e289a0a] EnumX v1.0.4
[f151be2c] EnzymeCore v0.7.8
[d4d017d3] ExponentialUtilities v1.26.1
[e2ba6199] ExprTools v0.1.10
⌅ [6b7a57c9] Expronicon v0.8.5
[7a1cc6ca] FFTW v1.8.0
[9d29842c] FastAlmostBandedMatrices v0.1.3
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[29a986be] FastLapackInterface v2.0.4
[1a297f60] FillArrays v1.11.0
[64ca27bc] FindFirstFunctions v1.3.0
[6a86dc24] FiniteDiff v2.23.1
[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v0.10.36
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[d9f16b24] Functors v0.4.12
[0c68f7d7] GPUArrays v10.3.0
[46192b85] GPUArraysCore v0.1.6
[14197337] GenericLinearAlgebra v0.3.11
[c145ed77] GenericSchur v0.5.4
[c27321d9] Glob v1.3.1
[86223c79] Graphs v1.11.2
[f213a82b] HomotopyContinuation v2.10.0 `~/.julia/dev/HomotopyContinuation`
[3e5b6fbb] HostCPUFeatures v0.1.17
[1baab800] HybridArrays v0.4.16
[34004b35] HypergeometricFunctions v0.3.23
[7869d1d1] IRTools v0.4.14
[615f187c] IfElse v0.1.1
[313cdc1a] Indexing v1.1.1
[d25df0c9] Inflate v0.1.5
[18e54dd8] IntegerMathUtils v0.1.2
[8197267c] IntervalSets v0.7.10
[524e6230] IntervalTrees v1.1.0
[3587e190] InverseFunctions v0.1.15
[92d709cd] IrrationalConstants v0.2.2
[c8e1da08] IterTools v1.10.0
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.7
[692b3bcd] JLLWrappers v1.5.0
[682c06a0] JSON v0.21.4
[98e50ef6] JuliaFormatter v1.0.59
[aa1ae85d] JuliaInterpreter v0.9.34
[70703baa] JuliaSyntax v0.4.9
[ccbc3e58] JumpProcesses v9.13.1
[ef3ab10e] KLU v0.6.0
[2c470bb0] Kronecker v0.5.5
[ba0b0d4f] Krylov v0.9.6
[5be7bae1] LBFGSB v0.4.1
[929cbde3] LLVM v8.1.0
[8ac3fa9e] LRUCache v1.6.1
[b964fa9f] LaTeXStrings v1.3.1
[2ee39098] LabelledArrays v1.16.0
[984bce1d] LambertW v0.4.6
[23fbe1c1] Latexify v0.16.5
[10f19ff3] LayoutPointers v0.1.17
[5078a376] LazyArrays v2.2.0
[1d6d02ad] LeftChildRightSiblingTrees v0.2.0
[2d8b4e74] LevyArea v1.0.0
[9c8b4983] LightXML v0.9.1
[d3d80556] LineSearches v7.3.0
[9b3f67b0] LinearAlgebraX v0.2.7
[7a12625a] LinearMaps v3.11.3
[7ed4a6bd] LinearSolve v2.32.0
[2ab3a3ac] LogExpFunctions v0.3.28
[e6f89c97] LoggingExtras v1.0.3
[bdcacae8] LoopVectorization v0.12.171
[6f1432cf] LoweredCodeUtils v3.0.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.13
[af67fdf4] ManifoldDiff v0.3.10
[1cead3c2] Manifolds v0.9.20
[3362f125] ManifoldsBase v0.15.12
[d125e4d3] ManualMemory v0.1.8
[99c1a7ee] MatrixEquations v2.4.2
[a3b82374] MatrixFactorizations v3.0.1
[bb5d69b7] MaybeInplace v0.1.3
[e1d29d7a] Missings v1.2.0
[291d046c] MixedSubdivisions v1.1.3
[961ee093] ModelingToolkit v9.31.0
[7475f97c] Mods v2.2.4
[46d2c3a1] MuladdMacro v0.2.4
[3b2b4ff1] Multisets v0.4.4
[102ac46a] MultivariatePolynomials v0.5.6
[d8a4904e] MutableArithmetics v1.4.6
[d41bc354] NLSolversBase v7.8.3
[2774e3e8] NLsolve v4.5.1
[77ba4419] NaNMath v1.0.2
[356022a1] NamedDims v1.2.2
[8913a72c] NonlinearSolve v3.13.1
[482fc905] ODEParameterEstimation v1.0.0-DEV `~/.julia/dev/ODEParameterEstimation`
[6fe1bfb0] OffsetArrays v1.14.1
[5fb14364] OhMyREPL v0.5.28
[429524aa] Optim v1.9.4
[7f7a1694] Optimization v3.27.0
[bca83a33] OptimizationBase v1.3.4
[36348300] OptimizationOptimJL v0.3.2
[bac558e1] OrderedCollections v1.6.3
[1dea7af3] OrdinaryDiffEq v6.87.0
[90014a1f] PDMats v0.11.31
[65ce6f38] PackageExtensionCompat v1.0.2
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.1
[2ae35dd2] Permutations v0.4.21
[b98c9c47] Pipe v1.3.0
[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 v0.4.23
[aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.4.3
[08abe8d2] PrettyTables v2.3.2
[27ebfcd6] Primes v0.5.6
[33c8b6b6] ProgressLogging v0.1.4
[92933f4c] ProgressMeter v1.10.2
[01f381cc] ProjectiveVectors v1.1.4
[43287f4e] PtrArrays v1.2.0
[1fd47b50] QuadGK v2.10.1
[94ee1d12] Quaternions v0.7.6
[74087812] Random123 v1.7.0
[e6cf234a] RandomNumbers v1.5.3
[c1ae055f] RealDot v0.1.0
[3cdcf5f2] RecipesBase v1.3.4
[731186ca] RecursiveArrayTools v3.26.0
[f2c3362d] RecursiveFactorization v0.2.23
[189a3867] Reexport v1.2.2
[ae029012] Requires v1.3.0
[ae5879a3] ResettableStacks v1.1.1
[295af30f] Revise v3.5.18
[286e9d63] RingLists v0.2.8
[79098fc4] Rmath v0.7.1
[7e49a35a] RuntimeGeneratedFunctions v0.5.13
[94e857df] SIMDTypes v0.1.0
[476501e8] SLEEFPirates v0.6.43
[0bca4576] SciMLBase v2.48.1
[c0aeaf25] SciMLOperators v0.3.8
[53ae85a6] SciMLStructures v1.4.2
[8e049039] SemialgebraicSets v0.3.3
[efcf1570] Setfield v1.1.1
[55797a34] SimpleGraphs v0.8.6
[727e6d20] SimpleNonlinearSolve v1.11.0
[ec83eff0] SimplePartitions v0.3.2
[cc47b68c] SimplePolynomials v0.2.17
[a6525b86] SimpleRandom v0.3.1
[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 v0.3.6
[e56a9233] Sparspak v0.3.9
[276daf66] SpecialFunctions v2.4.0
[aedffcd0] Static v1.1.1
[0d7ed370] StaticArrayInterface v1.6.0
[90137ffa] StaticArrays v1.9.7
[1e83bf80] StaticArraysCore v1.4.3
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.7.0
[2913bbd2] StatsBase v0.34.3
[4c63d2b9] StatsFuns v1.3.1
[9672c7b4] SteadyStateDiffEq v2.3.0
[789caeaf] StochasticDiffEq v6.67.0
[7792a7ef] StrideArraysCore v0.5.7
[892a3eda] StringManipulation v0.3.4
[09ab397b] StructArrays v0.6.18
[c3572dad] Sundials v4.24.0
[fd094767] Suppressor v0.2.7
[4297ee4d] SymbolicAnalysis v0.2.1
[2efcf032] SymbolicIndexingInterface v0.3.28
⌃ [19f23fe9] SymbolicLimits v0.2.1
⌅ [d1185830] SymbolicUtils v2.1.1
[0c5d862f] Symbolics v5.35.1
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.0
[b36ab563] TaylorDiff v0.2.4
⌅ [8ea1fca8] TermInterface v0.4.1
[5d786b92] TerminalLoggers v0.1.7
[8290d209] ThreadingUtilities v0.5.2
[a759f4b9] TimerOutputs v0.5.24
[0796e94c] Tokenize v0.5.29
[a2a6695c] TreeViews v0.3.0
[d5829a12] TriangularSolve v0.2.1
[410a4b4d] Tricks v0.1.9
[781d530d] TruncatedStacktraces v1.4.0
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1986cc42] Unitful v1.21.0
[a7c27f48] Unityper v0.1.6
[3d5dd08c] VectorizationBase v0.21.70
[19fa3120] VertexSafeGraphs v0.2.0
[e88e6eb3] Zygote v0.6.70
[700de1a5] ZygoteRules v0.2.5
[d9960996] Arb_jll v200.2300.0+0
[f5851436] FFTW_jll v3.3.10+0
⌅ [e134572f] FLINT_jll v200.900.9+0
[1d5cc7b8] IntelOpenMP_jll v2024.2.0+0
⌅ [dad2f222] LLVMExtra_jll v0.0.31+0
[81d17ec3] L_BFGS_B_jll v3.0.1+0
[94ce4f54] Libiconv_jll v1.17.0+0
[856f044c] MKL_jll v2024.2.0+0
[2ce0c516] MPC_jll v1.2.1+0
[656ef2d0] OpenBLAS32_jll v0.3.27+1
[efe28fd5] OpenSpecFun_jll v0.5.5+0
[f50d1b31] Rmath_jll v0.4.2+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
⌅ [3428059b] SymEngine_jll v0.9.0+1
[02c8fc9c] XML2_jll v2.13.1+0
⌅ [214eeab7] fzf_jll v0.43.0+0
[1317d2d5] oneTBB_jll v2021.12.0+0
[0dad84c5] ArgTools v1.1.2
[56f22d72] Artifacts v1.11.0
[2a0f44e3] Base64 v1.11.0
[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.6.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2 v1.11.0
[8f399da3] Libdl v1.11.0
[37e2e46d] LinearAlgebra v1.11.0
[56ddb016] Logging v1.11.0
[d6f4376e] Markdown v1.11.0
[a63ad114] Mmap v1.11.0
[ca575930] NetworkOptions v1.2.0
[44cfe95a] Pkg v1.11.0
[de0858da] Printf 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 v1.11.0
[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 v1.1.1+0
[781609d7] GMP_jll v6.3.0+0
[deac9b47] LibCURL_jll v8.6.0+0
[e37daf67] LibGit2_jll v1.7.2+0
[29816b5a] LibSSH2_jll v1.11.0+1
[3a97d323] MPFR_jll v4.2.1+0
[c8ffd9c3] MbedTLS_jll v2.28.6+0
[14a3606d] MozillaCACerts_jll v2023.12.12
[4536629a] OpenBLAS_jll v0.3.27+1
[05823500] OpenLibm_jll v0.8.1+2
[bea87d4a] SuiteSparse_jll v7.7.0+0
[83775a58] Zlib_jll v1.2.13+1
[8e850b90] libblastrampoline_jll v5.10.1+0
[8e850ede] nghttp2_jll v1.59.0+0
[3f19e933] p7zip_jll v17.4.0+2
