GitHub

Enright-Pryce Work-Precision Diagrams

Enright-Pryce Suite

The purpose of this benchmark is to test explicit Runge-Kutta methods on the Enright-Pryce test suite, a collection of non-stiff ODE problems designed for testing numerical integrators.

using OrdinaryDiffEq, ParameterizedFunctions, ODEInterface,
      ODEInterfaceDiffEq, LSODA, Sundials, DiffEqDevTools,
      StaticArrays, OrdinaryDiffEqSIMDRK
using Plots
gr()

# Load the problems from the Enright-Pryce suite
include(joinpath(@__DIR__, "enright_pryce.jl"))

abstols = 1.0 ./ 10.0 .^ (6:13)
reltols = 1.0 ./ 10.0 .^ (3:10)
8-element Vector{Float64}:
 0.001
 0.0001
 1.0e-5
 1.0e-6
 1.0e-7
 1.0e-8
 1.0e-9
 1.0e-10

SIMD Algorithms

simdrkalgs = [
    Dict(:alg=>MER5v2()),
    Dict(:alg=>MER6v2()),
    Dict(:alg=>RK6v4())
]
3-element Vector{Dict{Symbol}}:
 Dict(:alg => MER5v2(stage_limiter! = trivial_limiter!, step_limiter! = tri
vial_limiter!, thread = FastBroadcast.Serial()))
 Dict(:alg => MER6v2(stage_limiter! = trivial_limiter!, step_limiter! = tri
vial_limiter!, thread = FastBroadcast.Serial()))
 Dict(:alg => RK6v4(stage_limiter! = trivial_limiter!, step_limiter! = triv
ial_limiter!, thread = FastBroadcast.Serial()))

Low Order Setup

setups = [
    Dict(:alg=>Tsit5()),
    Dict(:alg=>Vern6()),
    Dict(:alg=>Vern7()),
    Dict(:alg=>Vern9()),
    simdrkalgs...
]
7-element Vector{Dict{Symbol}}:
 Dict(:alg => OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_l
imiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Serial
}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!,
 FastBroadcast.Serial()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern6{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern9{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))
 Dict(:alg => MER5v2(stage_limiter! = trivial_limiter!, step_limiter! = tri
vial_limiter!, thread = FastBroadcast.Serial()))
 Dict(:alg => MER6v2(stage_limiter! = trivial_limiter!, step_limiter! = tri
vial_limiter!, thread = FastBroadcast.Serial()))
 Dict(:alg => RK6v4(stage_limiter! = trivial_limiter!, step_limiter! = triv
ial_limiter!, thread = FastBroadcast.Serial()))

Non-Stiff NA Problems

NA1

prob = NA_PROBLEMS[1]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NA1")

NA2

prob = NA_PROBLEMS[2]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NA2")

NA4

prob = NA_PROBLEMS[4]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NA4")

NA5

prob = NA_PROBLEMS[5]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NA5")

Non-Stiff NB Problems

NB1

prob = NB_PROBLEMS[1]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NB1")

NB2

prob = NB_PROBLEMS[2]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NB2")

NB3

prob = NB_PROBLEMS[3]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NB3")

NB5

prob = NB_PROBLEMS[5]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NB5")

Non-Stiff NC Problems

NC1

prob = NC_PROBLEMS[1]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NC1")

NC2

prob = NC_PROBLEMS[2]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NC2")

NC3

prob = NC_PROBLEMS[3]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NC3")

NC4

prob = NC_PROBLEMS[4]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="NC4")

Non-Stiff ND Problems

The ND suite uses sqrt in the RHS, which triggers a StackOverflowError via NaNMath.sqrt(::VectorizationBase.Vec) when combined with the SIMD-RK stack. Use the non-SIMD subset of setups for these problems.

setups_nd = [
    Dict(:alg=>Tsit5()),
    Dict(:alg=>Vern6()),
    Dict(:alg=>Vern7()),
    Dict(:alg=>Vern9())
]
4-element Vector{Dict{Symbol}}:
 Dict(:alg => OrdinaryDiffEqTsit5.Tsit5{typeof(OrdinaryDiffEqCore.trivial_l
imiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Serial
}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivial_limiter!,
 FastBroadcast.Serial()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern6{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern7{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))
 Dict(:alg => OrdinaryDiffEqVerner.Vern9{typeof(OrdinaryDiffEqCore.trivial_
limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), FastBroadcast.Seria
l, Val{true}}(OrdinaryDiffEqCore.trivial_limiter!, OrdinaryDiffEqCore.trivi
al_limiter!, FastBroadcast.Serial(), Val{true}()))

ND1

prob = ND_PROBLEMS[1]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups_nd; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="ND1")

ND2

prob = ND_PROBLEMS[2]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups_nd; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="ND2")

ND3

prob = ND_PROBLEMS[3]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups_nd; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="ND3")

ND4

prob = ND_PROBLEMS[4]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups_nd; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="ND4")

ND5

prob = ND_PROBLEMS[5]
test_sol = solve(prob, Vern9(), abstol=1/10^14, reltol=1/10^14)
wp = WorkPrecisionSet(prob, abstols, reltols, setups_nd; appxsol=test_sol, save_everystep=false, numruns=100)
plot(wp; title="ND5")

Appendix

These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: https://github.com/SciML/SciMLBenchmarks.jl. For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization https://sciml.ai.

To locally run this benchmark, do the following commands:

using SciMLBenchmarks
SciMLBenchmarks.weave_file("benchmarks/NonStiffODE","EnrightPryce_wpd.jmd")

Computer Information:

Julia Version 1.11.9
Commit 53a02c0720c (2026-02-06 00:27 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 128 × AMD EPYC 7502 32-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver2)
Threads: 128 default, 0 interactive, 64 GC (on 128 virtual cores)
Environment:
  JULIA_DEPOT_PATH = /home/crackauc/github-runners/amdci8-1/.julia
  JULIA_NUM_THREADS = auto

Package Information:

Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/NonStiffODE/Project.toml`
⌃ [2b5f629d] DiffEqBase v7.5.0
⌃ [f3b72e0c] DiffEqDevTools v3.1.0
⌃ [58bc7355] IRKGaussLegendre v1.0.1
⌃ [7f56f5a3] LSODA v1.1.0
⌃ [961ee093] ModelingToolkit v11.26.3
⌃ [54ca160b] ODEInterface v0.5.0
⌃ [09606e27] ODEInterfaceDiffEq v4.0.0
⌃ [1dea7af3] OrdinaryDiffEq v7.0.0
⌃ [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v2.0.0
⌅ [bbf590c4] OrdinaryDiffEqCore v4.2.1
⌃ [becaefa8] OrdinaryDiffEqExtrapolation v2.2.0
⌃ [5960d6e9] OrdinaryDiffEqFIRK v2.3.0
⌃ [d28bc4f8] OrdinaryDiffEqHighOrderRK v2.0.0
⌃ [1344f307] OrdinaryDiffEqLowOrderRK v2.1.0
⌃ [dc97f408] OrdinaryDiffEqSIMDRK v2.0.1
⌃ [79d7bb75] OrdinaryDiffEqVerner v2.1.0
⌃ [65888b18] ParameterizedFunctions v5.24.0
⌃ [91a5bcdd] Plots v1.41.6
  [f517fe37] Polyester v0.7.19
⌃ [31c91b34] SciMLBenchmarks v0.1.3
⌅ [a6db7da4] SciMLLogging v1.10.1
⌃ [90137ffa] StaticArrays v1.9.18
⌃ [c3572dad] Sundials v6.2.1
⌃ [0c5d862f] Symbolics v7.24.2
  [37e2e46d] LinearAlgebra v1.11.0
  [9a3f8284] Random 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`

And the full manifest:

Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/NonStiffODE/Manifest.toml`
⌃ [47edcb42] ADTypes v1.22.0
⌃ [6e696c72] AbstractPlutoDingetjes v1.4.0
  [1520ce14] AbstractTrees v0.4.5
⌃ [7d9f7c33] Accessors v0.1.44
⌃ [79e6a3ab] Adapt v4.6.0
  [66dad0bd] AliasTables v1.1.3
  [ec485272] ArnoldiMethod v0.4.0
⌃ [4fba245c] ArrayInterface v7.25.0
  [4c555306] ArrayLayouts v1.12.2
⌃ [aae01518] BandedMatrices v1.11.0
  [e2ed5e7c] Bijections v0.2.2
⌃ [caf10ac8] BipartiteGraphs v0.1.7
⌃ [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
⌃ [8e7c35d0] BlockArrays v1.9.3
⌃ [70df07ce] BracketingNonlinearSolve v1.12.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.7
  [fb6a15b2] CloseOpenIntervals v0.1.13
⌃ [944b1d66] CodecZlib v0.7.8
  [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
⌃ [2569d6c7] ConcreteStructs v0.2.4
⌃ [f0e56b4a] ConcurrentUtilities v2.5.1
  [8f4d0f93] Conda v1.10.3
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
⌃ [864edb3b] DataStructures v0.19.4
  [e2d170a0] DataValueInterfaces v1.0.0
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.6
⌃ [2b5f629d] DiffEqBase v7.5.0
⌃ [459566f4] DiffEqCallbacks v4.17.0
⌃ [f3b72e0c] DiffEqDevTools v3.1.0
⌃ [77a26b50] DiffEqNoiseProcess v5.31.1
  [163ba53b] DiffResults v1.1.0
⌃ [b552c78f] DiffRules v1.15.1
⌃ [a0c0ee7d] DifferentiationInterface v0.7.18
  [b4f34e82] Distances v0.10.12
⌃ [31c24e10] Distributions v0.25.125
  [ffbed154] DocStringExtensions v0.9.5
⌅ [5b8099bc] DomainSets v0.7.18
⌃ [7c1d4256] DynamicPolynomials v0.6.6
  [4e289a0a] EnumX v1.0.7
⌃ [f151be2c] EnzymeCore v0.8.20
  [460bff9d] ExceptionUnwrapping v0.1.11
⌃ [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [c87230d0] FFMPEG v0.4.5
⌃ [7034ab61] FastBroadcast v1.3.2
  [9aa1b823] FastClosures v0.3.2
⌃ [442a2c76] FastGaussQuadrature v1.2.0
⌃ [a4df4552] FastPower v1.3.1
⌃ [1a297f60] FillArrays v1.16.0
⌅ [64ca27bc] FindFirstFunctions v1.8.0
⌃ [6a86dc24] FiniteDiff v2.31.0
⌅ [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
⌃ [f6369f11] ForwardDiff v1.3.3
  [a85aefff] FunctionMaps v0.1.2
  [069b7b12] FunctionWrappers v1.1.3
⌃ [77dc65aa] FunctionWrappersWrappers v1.8.0
  [46192b85] GPUArraysCore v0.2.0
⌃ [28b8d3ca] GR v0.73.24
  [d7ba0133] Git v1.5.0
⌃ [86223c79] Graphs v1.14.0
  [42e2da0e] Grisu v1.0.2
⌅ [cd3eb016] HTTP v1.11.0
⌅ [eafb193a] Highlights v0.5.3
  [3e5b6fbb] HostCPUFeatures v0.1.18
⌃ [34004b35] HypergeometricFunctions v0.3.28
  [7073ff75] IJulia v1.34.4
⌃ [58bc7355] IRKGaussLegendre v1.0.1
  [615f187c] IfElse v0.1.1
⌃ [3263718b] ImplicitDiscreteSolve v2.1.0
  [313cdc1a] Indexing v1.1.1
  [d25df0c9] Inflate v0.1.5
⌃ [18e54dd8] IntegerMathUtils v0.1.3
  [8197267c] IntervalSets v0.7.14
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.6
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.8.0
⌅ [682c06a0] JSON v0.21.4
  [ae98c720] Jieko v0.2.1
⌃ [ccbc3e58] JumpProcesses v9.28.0
⌃ [ba0b0d4f] Krylov v0.10.6
⌃ [7f56f5a3] LSODA v1.1.0
⌃ [b964fa9f] LaTeXStrings v1.4.0
⌃ [23fbe1c1] Latexify v0.16.10
  [10f19ff3] LayoutPointers v0.1.17
⌃ [87fe0de2] LineSearch v0.1.9
⌃ [d3d80556] LineSearches v7.5.1
⌅ [7ed4a6bd] LinearSolve v3.80.0
⌅ [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.2.0
  [1914dd2f] MacroTools v0.5.16
  [d125e4d3] ManualMemory v0.1.8
⌃ [bb5d69b7] MaybeInplace v0.1.4
  [739be429] MbedTLS v1.1.10
  [442fdcdd] Measures v0.3.3
  [e1d29d7a] Missings v1.2.0
⌃ [961ee093] ModelingToolkit v11.26.3
⌅ [7771a370] ModelingToolkitBase v1.36.2
⌃ [6bb917b9] ModelingToolkitTearing v1.13.5
⌃ [2e0e35c7] Moshi v0.3.7
⌃ [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.19
  [ffc61752] Mustache v1.0.21
  [d8a4904e] MutableArithmetics v1.8.0
⌅ [d41bc354] NLSolversBase v7.10.0
⌅ [2774e3e8] NLsolve v4.5.1
⌃ [77ba4419] NaNMath v1.1.3
⌃ [8913a72c] NonlinearSolve v4.19.1
⌅ [be0214bd] NonlinearSolveBase v2.26.0
⌃ [5959db7a] NonlinearSolveFirstOrder v2.1.1
⌃ [9a2c21bd] NonlinearSolveQuasiNewton v1.13.1
⌃ [26075421] NonlinearSolveSpectralMethods v1.7.1
⌃ [54ca160b] ODEInterface v0.5.0
⌃ [09606e27] ODEInterfaceDiffEq v4.0.0
  [6fe1bfb0] OffsetArrays v1.17.0
  [4d8831e6] OpenSSL v1.6.1
⌅ [bac558e1] OrderedCollections v1.8.1
⌃ [1dea7af3] OrdinaryDiffEq v7.0.0
⌃ [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v2.0.0
⌃ [6ad6398a] OrdinaryDiffEqBDF v2.1.1
⌅ [bbf590c4] OrdinaryDiffEqCore v4.2.1
⌃ [50262376] OrdinaryDiffEqDefault v2.2.0
⌅ [4302a76b] OrdinaryDiffEqDifferentiation v3.1.1
⌃ [becaefa8] OrdinaryDiffEqExtrapolation v2.2.0
⌃ [5960d6e9] OrdinaryDiffEqFIRK v2.3.0
⌃ [d28bc4f8] OrdinaryDiffEqHighOrderRK v2.0.0
⌃ [1344f307] OrdinaryDiffEqLowOrderRK v2.1.0
⌅ [127b3ac7] OrdinaryDiffEqNonlinearSolve v2.0.0
⌃ [43230ef6] OrdinaryDiffEqRosenbrock v2.2.0
⌃ [b4bd8bb3] OrdinaryDiffEqRosenbrockTableaus v2.0.0
⌃ [2d112036] OrdinaryDiffEqSDIRK v2.4.0
⌃ [dc97f408] OrdinaryDiffEqSIMDRK v2.0.1
⌃ [b1df2697] OrdinaryDiffEqTsit5 v2.0.1
⌃ [79d7bb75] OrdinaryDiffEqVerner v2.1.0
⌃ [90014a1f] PDMats v0.11.37
⌃ [65888b18] ParameterizedFunctions v5.24.0
⌅ [d96e819e] Parameters v0.12.3
⌅ [69de0a69] Parsers v2.8.4
  [ccf2f8ad] PlotThemes v3.3.0
  [995b91a9] PlotUtils v1.4.4
⌃ [91a5bcdd] Plots v1.41.6
⌃ [e409e4f3] PoissonRandom v0.4.8
  [f517fe37] Polyester v0.7.19
  [1d0040c9] PolyesterWeave v0.2.2
⌃ [d236fae5] PreallocationTools v1.2.0
⌅ [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.5.2
  [27ebfcd6] Primes v0.5.7
  [43287f4e] PtrArrays v1.4.0
  [1fd47b50] QuadGK v2.11.3
  [988b38a3] ReadOnlyArrays v0.2.0
  [795d4caa] ReadOnlyDicts v1.0.1
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌃ [731186ca] RecursiveArrayTools v4.3.0
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
⌃ [ae5879a3] ResettableStacks v1.2.0
  [79098fc4] Rmath v0.9.0
⌃ [47965b36] RootedTrees v2.25.0
⌃ [7e49a35a] RuntimeGeneratedFunctions v0.5.18
⌃ [9dfe8606] SCCNonlinearSolve v1.13.0
  [fdea26ae] SIMD v3.7.2
  [94e857df] SIMDTypes v0.1.0
⌃ [476501e8] SLEEFPirates v0.6.43
  [1bc83da4] SafeTestsets v0.1.0
⌅ [0bca4576] SciMLBase v3.13.0
⌃ [31c91b34] SciMLBenchmarks v0.1.3
⌃ [19f34311] SciMLJacobianOperators v0.1.13
⌅ [a6db7da4] SciMLLogging v1.10.1
⌃ [c0aeaf25] SciMLOperators v1.21.0
⌃ [431bcebd] SciMLPublic v1.0.1
⌃ [53ae85a6] SciMLStructures v1.10.0
  [6c6a2e73] Scratch v1.3.0
  [efcf1570] Setfield v1.1.2
⌃ [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.2.0
⌃ [727e6d20] SimpleNonlinearSolve v2.11.1
  [699a6c99] SimpleTraits v0.9.6
⌃ [a2af1166] SortingAlgorithms v1.2.2
⌃ [0a514795] SparseMatrixColorings v0.4.27
⌃ [276daf66] SpecialFunctions v2.7.2
  [860ef19b] StableRNGs v1.0.4
  [0c0c59c1] StarAlgebras v0.3.0
⌃ [64909d44] StateSelection v1.9.2
⌃ [aedffcd0] Static v1.4.0
  [0d7ed370] StaticArrayInterface v1.10.0
⌃ [90137ffa] StaticArrays v1.9.18
  [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 v0.5.9
  [69024149] StringEncodings v0.3.7
  [09ab397b] StructArrays v0.7.3
⌃ [c3572dad] Sundials v6.2.1
⌃ [2efcf032] SymbolicIndexingInterface v0.3.48
⌃ [19f23fe9] SymbolicLimits v1.1.0
⌅ [d1185830] SymbolicUtils v4.30.1
⌃ [0c5d862f] Symbolics v7.24.2
  [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
⌅ [a759f4b9] TimerOutputs v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.3
  [781d530d] TruncatedStacktraces v1.4.0
⌃ [5c2747f8] URIs v1.6.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [41fe7b60] Unzip v0.2.0
⌃ [3d5dd08c] VectorizationBase v0.21.72
  [81def892] VersionParsing v1.3.0
  [d30d5f5c] WeakCacheSets v0.1.0
  [44d3d7a6] Weave v0.10.12
  [ddb6d928] YAML v0.4.16
  [c2297ded] ZMQ v1.5.1
  [6e34b625] Bzip2_jll v1.0.9+0
  [83423d85] Cairo_jll v1.18.7+0
  [ee1fde0b] Dbus_jll v1.16.2+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
⌃ [2e619515] Expat_jll v2.8.0+0
⌅ [b22a6f82] FFMPEG_jll v8.1.0+0
  [a3f928ae] Fontconfig_jll v2.17.1+0
  [d7e528f0] FreeType2_jll v2.14.3+1
  [559328eb] FriBidi_jll v1.0.17+0
⌃ [0656b61e] GLFW_jll v3.4.1+1
⌅ [d2c73de3] GR_jll v0.73.24+0
⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
  [61579ee1] Ghostscript_jll v9.55.1+0
  [020c3dae] Git_LFS_jll v3.7.1+0
⌃ [f8c6e375] Git_jll v2.54.0+0
⌃ [7746bdde] Glib_jll v2.86.3+0
⌃ [3b182d85] Graphite2_jll v1.3.15+0
⌅ [2e76f6c2] HarfBuzz_jll v8.5.1+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
⌃ [aacddb02] JpegTurbo_jll v3.1.5+0
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.1.0+0
⌃ [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [aae0fff6] LSODA_jll v0.1.2+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 v2.42.0+0
⌃ [89763e89] Libtiff_jll v4.7.2+0
  [38a345b3] Libuuid_jll v2.42.0+0
  [856f044c] MKL_jll v2025.2.0+0
  [c771fb93] ODEInterface_jll v0.0.2+0
  [e7412a2a] Ogg_jll v1.3.6+0
⌃ [656ef2d0] OpenBLAS32_jll v0.3.33+1
⌃ [9bd350c2] OpenSSH_jll v10.3.1+0
⌃ [458c3c95] OpenSSL_jll v3.5.6+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.6.1+0
⌃ [36c8627f] Pango_jll v1.57.1+0
  [30392449] Pixman_jll v0.46.4+0
  [c0090381] Qt6Base_jll v6.10.2+2
⌃ [629bc702] Qt6Declarative_jll v6.10.2+1
  [ce943373] Qt6ShaderTools_jll v6.10.2+1
  [6de9746b] Qt6Svg_jll v6.10.2+0
  [e99dba38] Qt6Wayland_jll v6.10.2+1
⌃ [f50d1b31] Rmath_jll v0.5.1+0
⌃ [ca45d3f4] SuiteSparse32_jll v7.12.1+0
  [fb77eaff] Sundials_jll v7.5.0+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.24.0+0
  [ffd25f8a] XZ_jll v5.8.3+0
  [f67eecfb] Xorg_libICE_jll v1.1.2+0
  [c834827a] Xorg_libSM_jll v1.2.6+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
  [a65dc6b1] Xorg_libpciaccess_jll v0.19.0+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.2.0+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
  [12413925] Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] Xorg_xcb_util_jll v0.4.1+0
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
⌃ [33bec58e] Xorg_xkeyboard_config_jll v2.47.0+1
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [8f1865be] ZeroMQ_jll v4.3.6+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.14+0
⌅ [214eeab7] fzf_jll v0.61.1+0
⌃ [a4ae2306] libaom_jll v3.13.3+0
⌃ [0ac62f75] libass_jll v0.17.4+0
  [1183f4f0] libdecor_jll v0.2.2+0
⌃ [8e53e030] libdrm_jll v2.4.125+1
  [2db6ffa8] libevdev_jll v1.13.4+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [36db933b] libinput_jll v1.28.1+0
  [b53b4c65] libpng_jll v1.6.58+0
  [a9144af2] libsodium_jll v1.0.21+0
  [9a156e7d] libva_jll v2.23.0+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [009596ad] mtdev_jll v1.1.7+0
  [1317d2d5] oneTBB_jll v2022.3.0+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
  [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
  [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`