Solving DAE in mass matrix form requires an enormus amount of memory #1107
Description
Describe the bug 🐞
As the title says, DAE solve takes a lot memory. For eg in this MRE, a 65,000 unknown problem, with a 0.5 MB vector and 7 MB jacobian, it takes over 20GB of memory before exiting due to running out of memory.
The solve completes for sparser discretization, albeit still taking a lot of memory.
I also made a post on discourse about this, where I tried a few thing to eliminate memory usage like, analytical jacobian, or Krylov matrix free method for Jacobian vector solve, not saving solution, etc.
Expected behavior
I expect it to take memory of O(n).
Minimal Reproducible Example 👇
using LinearAlgebra: LinearAlgebra
import DifferentialEquations as DE
import SparseArrays: SparseArrays
using SparseConnectivityTracer: SparseConnectivityTracer
using ADTypes: ADTypes
using ProgressLogging
# Landau Khalatnikov equation with memory effect
"""
(dP/dt) = -Γ (α P + β P^3 + γ = P^5 - g11 ∇²P + ∇ϕ)
(dϕ/dt) = ∇^2ϕ - ∇ ⋅ P
"""
function f!(du, u, p, t)
α, β, γ, g, Γ, Nx, Ny, Δx, Δy, ϵ = p
Δx2, Δy2 = Δx^2, Δy^2
len_u = length(u)
P = reshape(view(u, 1:Ny*Nx), Ny, Nx)
ϕ = reshape(view(u, (Ny*Nx+1):len_u), Ny, Nx)
dP = reshape(view(du, 1:Ny*Nx), Ny, Nx)
dϕ = reshape(view(du, (Ny*Nx+1):len_u), Ny, Nx)
for j in 1:Ny, i in 1:Nx
jm1, jp1 = j - 1, j + 1
im1, ip1 = i - 1, i + 1
jm1 = jm1 < 1 ? 1 : jm1
jp1 = jp1 > Ny ? Ny : jp1
im1 = im1 < 1 ? 1 : im1
ip1 = ip1 > Nx ? Nx : ip1
∇²P = (P[j, ip1] - 2P[j, i] + P[j, im1]) / Δx2 +
(P[jp1, i] - 2P[j, i] + P[jm1, i]) / Δy2
∇yϕ = (ϕ[jp1, i] - ϕ[jm1, i]) / (2 * Δy)
dP[j, i] = -Γ * (α * P[j, i] + β * P[j, i]^3 + γ * P[j, i]^5 - g * ∇²P + ∇yϕ)
dϕ[j, i] = ϵ * (ϕ[j, ip1] - 2ϕ[j, i] + ϕ[j, im1]) / Δx2 +
ϵ * (ϕ[jp1, i] - 2ϕ[j, i] + ϕ[jm1, i]) / Δy2 -
(P[jp1, i] - P[jm1, i]) / (2 * Δy)
end
return nothing
end
function main()
Nx = 256 # 40
Ny = 128 # 20
P = rand(Ny, Nx)
ϕ = rand(Ny, Nx)
Lx = 40.0
Ly = 20.0
α, β, γ = -2.5, 60.0, 150.0
Δx, Δy = Lx / (Nx - 1), Ly / (Ny - 1)
Γ = 1.0e6
g = 1.0
ϵ = 24.0 * 8.854e-12 * 1e9
p = (α, β, γ, g, Γ, Nx, Ny, Δx, Δy, ϵ)
u0 = vcat(P[:], ϕ[:])
du0 = similar(u0)
M = LinearAlgebra.Diagonal(vcat(ones(Ny * Nx), zeros(Ny * Nx)))
detector = SparseConnectivityTracer.TracerSparsityDetector()
du0 = copy(u0)
jac_sparsity = ADTypes.jacobian_sparsity(
(du, u) -> f!(du, u, p, 0.0), du0, u0, detector)
jac = float.(jac_sparsity)
usize = Base.summarysize(u0) / 1024^2
jacsize = Base.summarysize(jac) / 1024^2
println("Unknkowns : $(length(u0))") # 65536
println("u_size : $usize MB") # 0.5 MB
println("jac_size : $jacsize MB") # 7.47 MB
ode_f = DE.ODEFunction(f!; jac_prototype = jac, mass_matrix = M)
prob = DE.ODEProblem(ode_f, u0, (0.0, 1e7), p)
@elapsed tsol = sol = DE.solve(prob, DE.FBDF(), save_everystep = false, saveat = Float64[], progress = true)
println("Time taken for solve: $tsol seconds")
end
main()Error & Stacktrace
This takes a huge amount of memory over 20 GB and then crashes due to OOM. I don't know to check memory form inside julia. Putting summarysize(Main) inside the function just slowed down everything. So here is the screenshot of memory usage from my OS.
Environment (please complete the following information):
pkg> st
Status `~/Documents/FerroElectric/Project.toml`
[47edcb42] ADTypes v1.18.0
[2169fc97] AlgebraicMultigrid v1.1.0
[6e4b80f9] BenchmarkTools v1.6.0
⌃ [13f3f980] CairoMakie v0.13.10
[8f4d0f93] Conda v1.10.2
[8bb1440f] DelimitedFiles v1.9.1
⌃ [459566f4] DiffEqCallbacks v4.9.0
[0c46a032] DifferentialEquations v7.16.1
[7a1cc6ca] FFTW v1.10.0
⌅ [f6369f11] ForwardDiff v0.10.39
⌃ [e9467ef8] GLMakie v0.11.11
[42fd0dbc] IterativeSolvers v0.9.4
[033835bb] JLD2 v0.6.2
[ba0b0d4f] Krylov v0.10.2
[45d422c2] KrylovPreconditioners v0.3.6
[5c8ed15e] LinearOperators v2.11.0
⌃ [7ed4a6bd] LinearSolve v3.26.0
[23992714] MAT v0.10.7
[da04e1cc] MPI v0.20.23
⌃ [8913a72c] NonlinearSolve v4.10.0
⌃ [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0
[510215fc] Observables v0.5.5
[6fe1bfb0] OffsetArrays v1.17.0
⌃ [1dea7af3] OrdinaryDiffEq v6.101.0
⌃ [6ad6398a] OrdinaryDiffEqBDF v1.9.0
⌃ [f27b6e38] Polynomials v4.0.21
[d236fae5] PreallocationTools v0.4.34
[33c8b6b6] ProgressLogging v0.1.5
[92933f4c] ProgressMeter v1.11.0
⌃ [295af30f] Revise v3.9.0
⌃ [9f842d2f] SparseConnectivityTracer v1.1.0
[47a9eef4] SparseDiffTools v2.26.0
[90137ffa] StaticArrays v1.9.15
⌅ [c3572dad] Sundials v4.28.0
[0c5d862f] Symbolics v6.55.0
[de0858da] Printf v1.11.0
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated`
- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/Documents/FerroElectric/Manifest.toml`
[47edcb42] ADTypes v1.18.0
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.42
[79e6a3ab] Adapt v4.4.0
[35492f91] AdaptivePredicates v1.2.0
[2169fc97] AlgebraicMultigrid v1.1.0
[66dad0bd] AliasTables v1.1.3
[a95523ee] AlmostBlockDiagonals v0.1.10
[27a7e980] Animations v0.4.2
[ec485272] ArnoldiMethod v0.4.0
[4fba245c] ArrayInterface v7.20.0
[4c555306] ArrayLayouts v1.12.0
[a9b6321e] Atomix v1.1.2
[67c07d97] Automa v1.1.0
[13072b0f] AxisAlgorithms v1.1.0
[39de3d68] AxisArrays v0.4.8
[aae01518] BandedMatrices v1.9.5
[18cc8868] BaseDirs v1.3.2
[6e4b80f9] BenchmarkTools v1.6.0
[e2ed5e7c] Bijections v0.2.2
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[764a87c0] BoundaryValueDiffEq v5.18.0
[7227322d] BoundaryValueDiffEqAscher v1.8.0
[56b672f2] BoundaryValueDiffEqCore v1.11.1
[85d9eb09] BoundaryValueDiffEqFIRK v1.9.0
[1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0
[9255f1d6] BoundaryValueDiffEqMIRKN v1.8.0
[ed55bfe0] BoundaryValueDiffEqShooting v1.9.0
⌃ [70df07ce] BracketingNonlinearSolve v1.3.0
[e1450e63] BufferedStreams v1.2.2
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.7
[96374032] CRlibm v1.0.2
[159f3aea] Cairo v1.1.1
⌃ [13f3f980] CairoMakie v0.13.10
[d360d2e6] ChainRulesCore v1.26.0
[0b6fb165] ChunkCodecCore v1.0.0
[4c0bbee4] ChunkCodecLibZlib v1.0.0
[55437552] ChunkCodecLibZstd v1.0.0
[fb6a15b2] CloseOpenIntervals v0.1.13
[da1fd8a2] CodeTracking v2.0.1
[944b1d66] CodecZlib v0.7.8
[a2cac450] ColorBrewer v0.4.1
[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 v0.2.4
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.0.0
[34da2185] Compat v4.18.1
[807dbc54] Compiler v0.1.1
[b152e2b5] CompositeTypes v0.1.4
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[8f4d0f93] Conda v1.10.2
[187b0558] ConstructionBase v1.6.0
[d38c429a] Contour v0.6.3
[adafc99b] CpuId v0.3.1
[9a962f9c] DataAPI v1.16.0
⌅ [864edb3b] DataStructures v0.18.22
[e2d170a0] DataValueInterfaces v1.0.0
[927a84f5] DelaunayTriangulation v1.6.4
⌃ [bcd4f6db] DelayDiffEq v5.59.0
[8bb1440f] DelimitedFiles v1.9.1
⌃ [2b5f629d] DiffEqBase v6.176.0
⌃ [459566f4] DiffEqCallbacks v4.9.0
[77a26b50] DiffEqNoiseProcess v5.24.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[0c46a032] DifferentialEquations v7.16.1
⌃ [a0c0ee7d] DifferentiationInterface v0.7.8
[b4f34e82] Distances v0.10.12
[31c24e10] Distributions v0.25.122
[ffbed154] DocStringExtensions v0.9.5
[5b8099bc] DomainSets v0.7.16
⌃ [7c1d4256] DynamicPolynomials v0.6.3
[4e289a0a] EnumX v1.0.5
[f151be2c] EnzymeCore v0.8.14
[429591f6] ExactPredicates v2.2.9
[d4d017d3] ExponentialUtilities v1.27.0
[e2ba6199] ExprTools v0.1.10
[55351af7] ExproniconLite v0.10.14
[411431e0] Extents v0.1.6
[7a1cc6ca] FFTW v1.10.0
[9d29842c] FastAlmostBandedMatrices v0.1.5
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[442a2c76] FastGaussQuadrature v1.0.2
[a4df4552] FastPower v1.1.3
⌃ [5789e2e9] FileIO v1.17.0
⌅ [8fc22ac5] FilePaths v0.8.3
[48062228] FilePathsBase v0.9.24
[1a297f60] FillArrays v1.14.0
[6a86dc24] FiniteDiff v2.28.1
[53c48c17] FixedPointNumbers v0.8.5
[1fa38f19] Format v1.3.7
⌅ [f6369f11] ForwardDiff v0.10.39
[b38be410] FreeType v4.1.1
[663a7486] FreeTypeAbstraction v0.10.8
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[d9f16b24] Functors v0.5.2
[f7f18e0c] GLFW v3.4.5
⌃ [e9467ef8] GLMakie v0.11.11
[46192b85] GPUArraysCore v0.2.0
[c145ed77] GenericSchur v0.5.6
[5c1252a2] GeometryBasics v0.5.10
[a2bd30eb] Graphics v1.1.3
[86223c79] Graphs v1.13.1
[3955a311] GridLayoutBase v0.11.2
[42e2da0e] Grisu v1.0.2
[f67ccb44] HDF5 v0.17.2
[076d061b] HashArrayMappedTries v0.2.0
[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
[9b13fd28] IndirectArrays v1.0.0
[d25df0c9] Inflate v0.1.5
[18e54dd8] IntegerMathUtils v0.1.3
⌅ [a98d9a8b] Interpolations v0.15.1
⌃ [d1acc4aa] IntervalArithmetic v0.22.36
[8197267c] IntervalSets v0.7.11
[3587e190] InverseFunctions v0.1.17
[92d709cd] IrrationalConstants v0.2.4
[f1662d9f] Isoband v0.1.1
[c8e1da08] IterTools v1.10.0
[42fd0dbc] IterativeSolvers v0.9.4
[82899510] IteratorInterfaceExtensions v1.0.0
[033835bb] JLD2 v0.6.2
[692b3bcd] JLLWrappers v1.7.1
⌅ [682c06a0] JSON v0.21.4
[ae98c720] Jieko v0.2.1
[b835a17e] JpegTurbo v0.1.6
[aa1ae85d] JuliaInterpreter v0.10.5
⌃ [ccbc3e58] JumpProcesses v9.16.1
[63c18a36] KernelAbstractions v0.9.38
[5ab0869b] KernelDensity v0.6.10
[ba0b0d4f] Krylov v0.10.2
[45d422c2] KrylovPreconditioners v0.3.6
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.10
[10f19ff3] LayoutPointers v0.1.17
[5078a376] LazyArrays v2.8.0
[8cdb02fc] LazyModules v0.3.1
[2d8b4e74] LevyArea v1.0.0
[87fe0de2] LineSearch v0.1.4
[d3d80556] LineSearches v7.4.0
[5c8ed15e] LinearOperators v2.11.0
⌃ [7ed4a6bd] LinearSolve v3.26.0
[2ab3a3ac] LogExpFunctions v0.3.29
[6f1432cf] LoweredCodeUtils v3.4.4
[23992714] MAT v0.10.7
[da04e1cc] MPI v0.20.23
[3da0fdf6] MPIPreferences v0.1.11
[1914dd2f] MacroTools v0.5.16
⌅ [ee78f7c6] Makie v0.22.10
⌅ [20f20a25] MakieCore v0.9.5
[d125e4d3] ManualMemory v0.1.8
[dbb5928d] MappedArrays v0.4.2
[0a4f8689] MathTeXEngine v0.6.6
⌃ [a3b82374] MatrixFactorizations v3.0.1
[bb5d69b7] MaybeInplace v0.1.4
[7269a6da] MeshIO v0.5.3
[2679e427] Metis v1.5.0
[e1d29d7a] Missings v1.2.0
[66fc600b] ModernGL v1.1.8
[e94cdb99] MosaicViews v0.3.4
[2e0e35c7] Moshi v0.3.7
[46d2c3a1] MuladdMacro v0.2.4
⌃ [102ac46a] MultivariatePolynomials v0.5.9
[d8a4904e] MutableArithmetics v1.6.6
[d41bc354] NLSolversBase v7.10.0
[2774e3e8] NLsolve v4.5.1
[77ba4419] NaNMath v1.1.3
[f09324ee] Netpbm v1.1.1
⌃ [8913a72c] NonlinearSolve v4.10.0
⌅ [be0214bd] NonlinearSolveBase v1.14.0
⌃ [5959db7a] NonlinearSolveFirstOrder v1.7.0
⌃ [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0
⌃ [26075421] NonlinearSolveSpectralMethods v1.3.0
[510215fc] Observables v0.5.5
[6fe1bfb0] OffsetArrays v1.17.0
[52e1d378] OpenEXR v0.3.3
[429524aa] Optim v1.13.2
[bac558e1] OrderedCollections v1.8.1
⌃ [1dea7af3] OrdinaryDiffEq v6.101.0
⌃ [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.4.0
⌃ [6ad6398a] OrdinaryDiffEqBDF v1.9.0
⌃ [bbf590c4] OrdinaryDiffEqCore v1.26.2
⌃ [50262376] OrdinaryDiffEqDefault v1.7.0
⌃ [4302a76b] OrdinaryDiffEqDifferentiation v1.11.0
⌃ [9286f039] OrdinaryDiffEqExplicitRK v1.3.0
⌃ [e0540318] OrdinaryDiffEqExponentialRK v1.7.0
⌃ [becaefa8] OrdinaryDiffEqExtrapolation v1.7.0
⌃ [5960d6e9] OrdinaryDiffEqFIRK v1.14.0
⌃ [101fe9f7] OrdinaryDiffEqFeagin v1.3.0
⌃ [d3585ca7] OrdinaryDiffEqFunctionMap v1.4.0
⌃ [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.4.0
⌃ [9f002381] OrdinaryDiffEqIMEXMultistep v1.6.0
⌃ [521117fe] OrdinaryDiffEqLinear v1.4.0
⌃ [1344f307] OrdinaryDiffEqLowOrderRK v1.5.0
⌃ [b0944070] OrdinaryDiffEqLowStorageRK v1.5.0
⌃ [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.12.0
⌃ [c9986a66] OrdinaryDiffEqNordsieck v1.3.0
⌃ [5dd0a6cf] OrdinaryDiffEqPDIRK v1.5.0
⌃ [5b33eab2] OrdinaryDiffEqPRK v1.3.0
⌃ [04162be5] OrdinaryDiffEqQPRK v1.3.0
⌃ [af6ede74] OrdinaryDiffEqRKN v1.4.0
⌃ [43230ef6] OrdinaryDiffEqRosenbrock v1.15.1
⌃ [2d112036] OrdinaryDiffEqSDIRK v1.6.0
⌃ [669c94d9] OrdinaryDiffEqSSPRK v1.5.0
⌃ [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.5.0
[358294b1] OrdinaryDiffEqStabilizedRK v1.4.0
⌃ [fa646aed] OrdinaryDiffEqSymplecticRK v1.6.0
⌃ [b1df2697] OrdinaryDiffEqTsit5 v1.4.0
⌃ [79d7bb75] OrdinaryDiffEqVerner v1.5.0
[90014a1f] PDMats v0.11.35
[f57f5aa1] PNGFiles v0.4.4
[65ce6f38] PackageExtensionCompat v1.0.2
[19eb6ba3] Packing v0.5.1
[5432bcbf] PaddedViews v0.5.12
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.3
[eebad327] PkgVersion v0.3.3
[995b91a9] PlotUtils v1.4.3
[e409e4f3] PoissonRandom v0.4.7
[f517fe37] Polyester v0.7.18
[1d0040c9] PolyesterWeave v0.2.2
[647866c9] PolygonOps v0.1.2
⌃ [f27b6e38] Polynomials v4.0.21
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v0.4.34
⌅ [aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.5.0
[27ebfcd6] Primes v0.5.7
[33c8b6b6] ProgressLogging v0.1.5
[92933f4c] ProgressMeter v1.11.0
[43287f4e] PtrArrays v1.3.0
[4b34888f] QOI v1.0.1
[1fd47b50] QuadGK v2.11.2
[74087812] Random123 v1.7.1
[e6cf234a] RandomNumbers v1.6.0
[b3c3ace0] RangeArrays v0.3.2
[c84ed2f1] Ratios v0.4.5
[3cdcf5f2] RecipesBase v1.3.4
[731186ca] RecursiveArrayTools v3.37.1
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.1
[ae5879a3] ResettableStacks v1.1.1
⌃ [295af30f] Revise v3.9.0
[79098fc4] Rmath v0.8.0
[5eaf0fd0] RoundingEmulator v0.2.1
[7e49a35a] RuntimeGeneratedFunctions v0.5.15
[fdea26ae] SIMD v3.7.2
[94e857df] SIMDTypes v0.1.0
⌃ [0bca4576] SciMLBase v2.99.0
[19f34311] SciMLJacobianOperators v0.1.11
⌅ [c0aeaf25] SciMLOperators v0.4.0
[431bcebd] SciMLPublic v1.0.0
[53ae85a6] SciMLStructures v1.7.0
[7e506255] ScopedValues v1.5.0
[6c6a2e73] Scratch v1.3.0
[efcf1570] Setfield v1.1.2
[65257c39] ShaderAbstractions v0.5.0
[992d4aef] Showoff v1.0.3
[73760f76] SignedDistanceFields v0.4.0
⌃ [727e6d20] SimpleNonlinearSolve v2.7.0
[699a6c99] SimpleTraits v0.9.5
[ce78b400] SimpleUnPack v1.1.0
[45858cf5] Sixel v0.1.5
[a2af1166] SortingAlgorithms v1.2.2
⌃ [9f842d2f] SparseConnectivityTracer v1.1.0
[47a9eef4] SparseDiffTools v2.26.0
[0a514795] SparseMatrixColorings v0.4.21
[276daf66] SpecialFunctions v2.6.1
[860ef19b] StableRNGs v1.0.3
[cae243ae] StackViews v0.1.2
[aedffcd0] Static v1.3.0
[0d7ed370] StaticArrayInterface v1.8.0
[90137ffa] StaticArrays v1.9.15
[1e83bf80] StaticArraysCore v1.4.3
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.7.1
[2913bbd2] StatsBase v0.34.6
[4c63d2b9] StatsFuns v1.5.0
⌃ [9672c7b4] SteadyStateDiffEq v2.6.0
⌃ [789caeaf] StochasticDiffEq v6.81.0
[7792a7ef] StrideArraysCore v0.5.8
[09ab397b] StructArrays v0.7.1
⌅ [c3572dad] Sundials v4.28.0
[2efcf032] SymbolicIndexingInterface v0.3.45
⌃ [19f23fe9] SymbolicLimits v0.2.3
⌅ [d1185830] SymbolicUtils v3.32.0
[0c5d862f] Symbolics v6.55.0
[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 v0.11.6
[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 v1.25.0
[a7c27f48] Unityper v0.1.6
[013be700] UnsafeAtomics v0.3.0
[81def892] VersionParsing v1.3.0
[19fa3120] VertexSafeGraphs v0.2.0
[e3aaa7dc] WebP v0.1.3
[efce3f68] WoodburyMatrices v1.0.0
[6e34b625] Bzip2_jll v1.0.9+0
[4e9b3aee] CRlibm_jll v1.0.1+0
[83423d85] Cairo_jll v1.18.5+0
[ee1fde0b] Dbus_jll v1.16.2+0
[5ae413db] EarCut_jll v2.2.4+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
[2e619515] Expat_jll v2.7.1+0
⌅ [b22a6f82] FFMPEG_jll v6.1.3+0
[f5851436] FFTW_jll v3.3.11+0
[a3f928ae] Fontconfig_jll v2.17.1+0
[d7e528f0] FreeType2_jll v2.13.4+0
[559328eb] FriBidi_jll v1.0.17+0
[0656b61e] GLFW_jll v3.4.0+2
[b0724c58] GettextRuntime_jll v0.22.4+0
[61579ee1] Ghostscript_jll v9.55.1+0
[59f7168a] Giflib_jll v5.2.3+0
[7746bdde] Glib_jll v2.86.0+0
[3b182d85] Graphite2_jll v1.3.15+0
[0234f1f7] HDF5_jll v1.14.6+0
[2e76f6c2] HarfBuzz_jll v8.5.1+0
[e33a78d0] Hwloc_jll v2.12.2+0
[905a6f67] Imath_jll v3.1.11+0
[1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
[aacddb02] JpegTurbo_jll v3.1.3+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 v2.41.2+0
[89763e89] Libtiff_jll v4.7.2+0
[38a345b3] Libuuid_jll v2.41.2+0
[d00139f3] METIS_jll v5.1.3+0
[856f044c] MKL_jll v2025.2.0+0
[7cb0a576] MPICH_jll v4.3.1+0
[f1f71cc9] MPItrampoline_jll v5.5.4+0
[9237b28f] MicrosoftMPI_jll v10.1.4+3
[e7412a2a] Ogg_jll v1.3.6+0
[6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.29+0
[18a262bb] OpenEXR_jll v3.2.4+0
[fe0851c0] OpenMPI_jll v5.0.8+0
[458c3c95] OpenSSL_jll v3.5.4+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.5.2+0
[36c8627f] Pango_jll v1.56.4+0
⌅ [30392449] Pixman_jll v0.44.2+0
[f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
[a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.9+0
[ffd25f8a] XZ_jll v5.8.1+0
[4f6342f7] Xorg_libX11_jll v1.8.12+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 v1.3.7+0
[d091e8ba] Xorg_libXfixes_jll v6.0.2+0
[a51aa0fd] Xorg_libXi_jll v1.8.3+0
[d1454406] Xorg_libXinerama_jll v1.1.6+0
[ec84b674] Xorg_libXrandr_jll v1.5.5+0
[ea2f1a96] Xorg_libXrender_jll v0.9.12+0
[a65dc6b1] Xorg_libpciaccess_jll v0.18.1+0
[c7cfdc94] Xorg_libxcb_jll v1.17.1+0
[cc61e674] Xorg_libxkbfile_jll v1.1.3+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
[477f73a3] libaec_jll v1.1.4+0
⌃ [a4ae2306] libaom_jll v3.12.1+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 v1.6.50+0
[075b6546] libsixel_jll v1.10.5+0
[f27f6e37] libvorbis_jll v1.3.8+0
[c5f90fcd] libwebp_jll v1.6.0+0
[1317d2d5] oneTBB_jll v2022.0.0+0
[1270edf5] x264_jll v10164.0.1+0
[dfaa095f] x265_jll v4.1.0+0
[d8fb68d0] xkbcommon_jll v1.9.2+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 v1.6.0
[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
[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 v1.11.0
[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
[deac9b47] LibCURL_jll v8.6.0+0
[e37daf67] LibGit2_jll v1.7.2+0
[29816b5a] LibSSH2_jll v1.11.0+1
[c8ffd9c3] MbedTLS_jll v2.28.6+0
[14a3606d] MozillaCACerts_jll v2023.12.12
[4536629a] OpenBLAS_jll v0.3.27+1
[05823500] OpenLibm_jll v0.8.5+0
[efcefdf7] PCRE2_jll v10.42.0+1
[bea87d4a] SuiteSparse_jll v7.7.0+0
[83775a58] Zlib_jll v1.2.13+1
[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.59.0+0
[3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`- Output of
versioninfo()
julia> versioninfo()
Julia Version 1.11.6
Commit 9615af0f269 (2025-07-09 12:58 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: macOS (arm64-apple-darwin24.0.0)
CPU: 11 × Apple M3 Pro
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, apple-m2)
Threads: 4 default, 0 interactive, 2 GC (on 5 virtual cores)
Environment:
JULIA_EDITOR = code
JULIA_VSCODE_REPL = 1
JULIA_NUM_THREADS = 4Additional context