Orbital Dynamics BVP Benchmark
This is a benchmark of a small non-stiff BVP.
using BoundaryValueDiffEq, OrdinaryDiffEq, BenchmarkTools
y0 = [
-4.7763169762853989E+06,
-3.8386398704441520E+05,
-5.3500183933132319E+06,
-5528.612564911408,
1216.8442360202787,
4845.114446429901,
]
init_val = [
-4.7763169762853989E+06,
-3.8386398704441520E+05,
-5.3500183933132319E+06,
7.0526926403748598E+06,
-7.9650476230388973E+05,
-1.1911128863666430E+06,
]
J2 = 1.08262668E-3
req = 6378137
myu = 398600.4418E+9
t0 = 86400 * 2.3577475462484435E+04
t1 = 86400 * 2.3577522023524125E+04
tspan = (t0, t1)
# ODE solver
function orbital(dy, y, p, t)
r2 = (y[1]^2 + y[2]^2 + y[3]^2)
r3 = r2^(3 / 2)
w = 1 + 1.5J2 * (req * req / r2) * (1 - 5y[3] * y[3] / r2)
w2 = 1 + 1.5J2 * (req * req / r2) * (3 - 5y[3] * y[3] / r2)
dy[1] = y[4]
dy[2] = y[5]
dy[3] = y[6]
dy[4] = -myu * y[1] * w / r3
dy[5] = -myu * y[2] * w / r3
dy[6] = -myu * y[3] * w2 / r3
end
function bc!_generator(resid, sol, init_val)
resid[1] = sol[1][1] - init_val[1]
resid[2] = sol[1][2] - init_val[2]
resid[3] = sol[1][3] - init_val[3]
resid[4] = sol[end][1] - init_val[4]
resid[5] = sol[end][2] - init_val[5]
resid[6] = sol[end][3] - init_val[6]
end
cur_bc! = (resid, sol, p, t) -> bc!_generator(resid, sol, init_val)
resid_f = Array{Float64}(undef, 6)
bvp = BVProblem(orbital, cur_bc!, y0, tspan)BVProblem with uType Vector{Float64} and tType Float64. In-place: true
timespan: (2.037093879958655e9, 2.0370979028324845e9)
u0: 6-element Vector{Float64}:
-4.776316976285399e6
-383863.9870444152
-5.350018393313232e6
-5528.612564911408
1216.8442360202787
4845.114446429901@btime sol = solve(bvp, Shooting(DP5()), abstol = 1e-13, reltol = 1e-13)Error: MethodError: no method matching Float64(::ForwardDiff.Dual{ForwardDi
ff.Tag{SciMLBase.NonlinearFunction{true, SciMLBase.FullSpecialize, Boundary
ValueDiffEq.BoundaryValueDiffEqShooting.var"#9#15"{OrdinaryDiffEqCore.ODEIn
tegrator{OrdinaryDiffEqLowOrderRK.DP5{typeof(OrdinaryDiffEqCore.trivial_lim
iter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, true, V
ector{Float64}, Nothing, Float64, SciMLBase.NullParameters, Float64, Float6
4, Float64, Float64, Vector{Vector{Float64}}, SciMLBase.ODESolution{Float64
, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vec
tor{Vector{Float64}}}, Nothing, SciMLBase.ODEProblem{Vector{Float64}, Tuple
{Float64, Float64}, true, SciMLBase.NullParameters, SciMLBase.ODEFunction{t
rue, SciMLBase.AutoSpecialize, SciMLBase.BVPFunction{true, SciMLBase.FullSp
ecialize, false, typeof(Main.var"##WeaveSandBox#225".orbital), Main.var"##W
eaveSandBox#225".var"#1#2", LinearAlgebra.UniformScaling{Bool}, Nothing, No
thing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing,
Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothing, Nothing,
Nothing, Dict{Any, Any}}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Not
hing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothin
g, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, SymbolicIndexingIn
terface.SymbolCache{Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}, No
thing, Nothing, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @Na
medTuple{}}, SciMLBase.StandardODEProblem}, OrdinaryDiffEqLowOrderRK.DP5{ty
peof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivia
l_limiter!), Static.False}, OrdinaryDiffEqCore.InterpolationData{SciMLBase.
ODEFunction{true, SciMLBase.AutoSpecialize, SciMLBase.BVPFunction{true, Sci
MLBase.FullSpecialize, false, typeof(Main.var"##WeaveSandBox#225".orbital),
Main.var"##WeaveSandBox#225".var"#1#2", LinearAlgebra.UniformScaling{Bool}
, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, N
othing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERV
ED), Nothing, Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothi
ng, Nothing, Nothing, Dict{Any, Any}}}, LinearAlgebra.UniformScaling{Bool},
Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, No
thing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Symbo
licIndexingInterface.SymbolCache{Nothing, Nothing, Nothing, Nothing, Dict{A
ny, Any}}, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Ve
ctor{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEqLowO
rderRK.DP5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(O
rdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limi
ter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing, Nothing, Nothin
g}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, SciMLBase.BVPFunc
tion{true, SciMLBase.FullSpecialize, false, typeof(Main.var"##WeaveSandBox#
225".orbital), Main.var"##WeaveSandBox#225".var"#1#2", LinearAlgebra.Unifor
mScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.
DEFAULT_OBSERVED), Nothing, Nothing, SymbolicIndexingInterface.SymbolCache{
Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}}, LinearAlgebra.Uniform
Scaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothin
g, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED),
Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothing, Nothing, N
othing, Dict{Any, Any}}, Nothing, Nothing, Nothing, Nothing}, OrdinaryDiffE
qLowOrderRK.DP5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typ
eof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial
_limiter!), Static.False}, OrdinaryDiffEqCore.DEOptions{Float64, Float64, F
loat64, Float64, OrdinaryDiffEqCore.PIController{Rational{Int64}}, typeof(D
iffEqBase.ODE_DEFAULT_NORM), typeof(LinearAlgebra.opnorm), Nothing, SciMLBa
se.CallbackSet{Tuple{}, Tuple{}}, typeof(DiffEqBase.ODE_DEFAULT_ISOUTOFDOMA
IN), typeof(DiffEqBase.ODE_DEFAULT_PROG_MESSAGE), typeof(DiffEqBase.ODE_DEF
AULT_UNSTABLE_CHECK), DataStructures.BinaryHeap{Float64, DataStructures.Fas
terForward}, DataStructures.BinaryHeap{Float64, DataStructures.FasterForwar
d}, Nothing, Nothing, Int64, Tuple{}, Tuple{}, Tuple{}}, Vector{Float64}, F
loat64, Nothing, OrdinaryDiffEqCore.DefaultInit, Nothing}, Main.var"##Weave
SandBox#225".var"#1#2", Tuple{Int64}, SciMLBase.BVProblem{Vector{Float64},
Tuple{Float64, Float64}, true, Nothing, SciMLBase.NullParameters, SciMLBase
.BVPFunction{true, SciMLBase.FullSpecialize, false, typeof(Main.var"##Weave
SandBox#225".orbital), Main.var"##WeaveSandBox#225".var"#1#2", LinearAlgebr
a.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothin
g, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(Sc
iMLBase.DEFAULT_OBSERVED), Nothing, Nothing, SymbolicIndexingInterface.Symb
olCache{Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}}, SciMLBase.Sta
ndardBVProblem, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}, Tuple
{Int64}}, Nothing, Nothing, Nothing, BoundaryValueDiffEq.BoundaryValueDiffE
qShooting.var"#13#19"{SparseDiffTools.ForwardDiffJacobianCache{SparseDiffTo
ols.NoMatrixColoring, ForwardDiff.JacobianConfig{Nothing, Float64, 6, Tuple
{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{ForwardDiff.Dual{Not
hing, Float64, 6}}}}, Nothing, Vector{Float64}, Vector{Float64}}, BoundaryV
alueDiffEq.BoundaryValueDiffEqShooting.Shooting{BoundaryValueDiffEq.Boundar
yValueDiffEqCore.BVPJacobianAlgorithm{Nothing, Nothing, ADTypes.AutoForward
Diff{nothing, Nothing}}, OrdinaryDiffEqLowOrderRK.DP5{typeof(OrdinaryDiffEq
Core.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static
.False}, Nothing}, BoundaryValueDiffEq.BoundaryValueDiffEqShooting.var"#11#
17"{SciMLBase.BVProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Not
hing, SciMLBase.NullParameters, SciMLBase.BVPFunction{true, SciMLBase.FullS
pecialize, false, typeof(Main.var"##WeaveSandBox#225".orbital), Main.var"##
WeaveSandBox#225".var"#1#2", LinearAlgebra.UniformScaling{Bool}, Nothing, N
othing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Noth
ing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing
, Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothing, Nothing,
Nothing, Dict{Any, Any}}}, SciMLBase.StandardBVProblem, Base.Pairs{Symbol,
Union{}, Tuple{}, @NamedTuple{}}}, OrdinaryDiffEqCore.ODEIntegrator{Ordina
ryDiffEqLowOrderRK.DP5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(
OrdinaryDiffEqCore.trivial_limiter!), Static.False}, true, Vector{ForwardDi
ff.Dual{Nothing, Float64, 6}}, Nothing, ForwardDiff.Dual{Nothing, Float64,
6}, SciMLBase.NullParameters, ForwardDiff.Dual{Nothing, Float64, 6}, Float6
4, Float64, ForwardDiff.Dual{Nothing, Float64, 6}, Vector{Vector{ForwardDif
f.Dual{Nothing, Float64, 6}}}, SciMLBase.ODESolution{ForwardDiff.Dual{Nothi
ng, Float64, 6}, 2, Vector{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}},
Nothing, Nothing, Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{Vec
tor{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}}}, Nothing, SciMLBase.ODE
Problem{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, Tuple{ForwardDiff.Du
al{Nothing, Float64, 6}, ForwardDiff.Dual{Nothing, Float64, 6}}, true, SciM
LBase.NullParameters, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize,
SciMLBase.BVPFunction{true, SciMLBase.FullSpecialize, false, typeof(Main.v
ar"##WeaveSandBox#225".orbital), Main.var"##WeaveSandBox#225".var"#1#2", Li
nearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing,
typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, SymbolicIndexingInte
rface.SymbolCache{Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}}, Lin
earAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothin
g, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.D
EFAULT_OBSERVED), Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, N
othing, Nothing, Nothing, Dict{Any, Any}}, Nothing, Nothing, Nothing, Nothi
ng}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, SciMLBase.Standar
dODEProblem}, OrdinaryDiffEqLowOrderRK.DP5{typeof(OrdinaryDiffEqCore.trivia
l_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Or
dinaryDiffEqCore.InterpolationData{SciMLBase.ODEFunction{true, SciMLBase.Au
toSpecialize, SciMLBase.BVPFunction{true, SciMLBase.FullSpecialize, false,
typeof(Main.var"##WeaveSandBox#225".orbital), Main.var"##WeaveSandBox#225".
var"#1#2", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, N
othing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Noth
ing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Symboli
cIndexingInterface.SymbolCache{Nothing, Nothing, Nothing, Nothing, Dict{Any
, Any}}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, No
thing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeo
f(SciMLBase.DEFAULT_OBSERVED), Nothing, SymbolicIndexingInterface.SymbolCac
he{Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}, Nothing, Nothing, N
othing, Nothing}, Vector{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}}, Ve
ctor{ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{Vector{Vector{ForwardDi
ff.Dual{Nothing, Float64, 6}}}}, Nothing, OrdinaryDiffEqLowOrderRK.DP5Cache
{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{ForwardDiff.Dual{Not
hing, Float64, 6}}, Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, typeof(O
rdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limi
ter!), Static.False}, Nothing}, SciMLBase.DEStats, Nothing, Nothing, Nothin
g}, SciMLBase.ODEFunction{true, SciMLBase.AutoSpecialize, SciMLBase.BVPFunc
tion{true, SciMLBase.FullSpecialize, false, typeof(Main.var"##WeaveSandBox#
225".orbital), Main.var"##WeaveSandBox#225".var"#1#2", LinearAlgebra.Unifor
mScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothi
ng, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.
DEFAULT_OBSERVED), Nothing, Nothing, SymbolicIndexingInterface.SymbolCache{
Nothing, Nothing, Nothing, Nothing, Dict{Any, Any}}}, LinearAlgebra.Uniform
Scaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothin
g, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED),
Nothing, SymbolicIndexingInterface.SymbolCache{Nothing, Nothing, Nothing, N
othing, Dict{Any, Any}}, Nothing, Nothing, Nothing, Nothing}, OrdinaryDiffE
qLowOrderRK.DP5Cache{Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{
ForwardDiff.Dual{Nothing, Float64, 6}}, Vector{ForwardDiff.Dual{Nothing, Fl
oat64, 6}}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDif
fEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqCore.DEOptions{Floa
t64, Float64, Float64, ForwardDiff.Dual{Nothing, Float64, 6}, OrdinaryDiffE
qCore.PIController{Rational{Int64}}, typeof(DiffEqBase.ODE_DEFAULT_NORM), t
ypeof(LinearAlgebra.opnorm), Nothing, SciMLBase.CallbackSet{Tuple{}, Tuple{
}}, typeof(DiffEqBase.ODE_DEFAULT_ISOUTOFDOMAIN), typeof(DiffEqBase.ODE_DEF
AULT_PROG_MESSAGE), typeof(DiffEqBase.ODE_DEFAULT_UNSTABLE_CHECK), DataStru
ctures.BinaryHeap{ForwardDiff.Dual{Nothing, Float64, 6}, DataStructures.Fas
terForward}, DataStructures.BinaryHeap{ForwardDiff.Dual{Nothing, Float64, 6
}, DataStructures.FasterForward}, Nothing, Nothing, Int64, Tuple{}, Tuple{}
, Tuple{}}, Vector{ForwardDiff.Dual{Nothing, Float64, 6}}, ForwardDiff.Dual
{Nothing, Float64, 6}, Nothing, OrdinaryDiffEqCore.DefaultInit, Nothing}, M
ain.var"##WeaveSandBox#225".var"#1#2", Tuple{Int64}, Tuple{Int64}}, Vector{
Float64}}, Nothing, Nothing, Matrix{Float64}, Nothing, Nothing, Nothing, No
thing, Nothing, Nothing, Nothing, Vector{Float64}}, Float64}, Float64, 1})
Closest candidates are:
(::Type{T})(::Real, !Matched::RoundingMode) where T<:AbstractFloat
@ Base rounding.jl:207
(::Type{T})(::T) where T<:Number
@ Core boot.jl:792
Float64(!Matched::UInt8)
@ Base float.jl:165
...@btime sol = solve(bvp, MIRK2(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK3(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK4(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK5(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK6(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positiveAppendix
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/NonStiffBVP","orbital.jmd")Computer Information:
Julia Version 1.10.5
Commit 6f3fdf7b362 (2024-08-27 14:19 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
LIBM: libopenlibm
LLVM: libLLVM-15.0.7 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 128 virtual cores)
Environment:
JULIA_CPU_THREADS = 128
JULIA_DEPOT_PATH = /cache/julia-buildkite-plugin/depots/5b300254-1738-4989-ae0a-f4d2d937f953
Package Information:
Status `/cache/build/exclusive-amdci1-0/julialang/scimlbenchmarks-dot-jl/benchmarks/NonStiffBVP/Project.toml`
[ded0fc24] BVProblemLibrary v0.1.5
[6e4b80f9] BenchmarkTools v1.5.0
[764a87c0] BoundaryValueDiffEq v5.11.0
[13f3f980] CairoMakie v0.12.14
[f3b72e0c] DiffEqDevTools v2.45.1
[54ca160b] ODEInterface v0.5.0
[1dea7af3] OrdinaryDiffEq v6.89.0
[91a5bcdd] Plots v1.40.8
[31c91b34] SciMLBenchmarks v0.1.3 `../..`
[be0294bd] SimpleBoundaryValueDiffEq v1.1.0And the full manifest:
Status `/cache/build/exclusive-amdci1-0/julialang/scimlbenchmarks-dot-jl/benchmarks/NonStiffBVP/Manifest.toml`
[47edcb42] ADTypes v1.9.0
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.38
[79e6a3ab] Adapt v4.0.4
[35492f91] AdaptivePredicates v1.2.0
[66dad0bd] AliasTables v1.1.3
[27a7e980] Animations v0.4.1
[ec485272] ArnoldiMethod v0.4.0
[4fba245c] ArrayInterface v7.16.0
[4c555306] ArrayLayouts v1.10.3
[67c07d97] Automa v1.0.4
[13072b0f] AxisAlgorithms v1.1.0
[39de3d68] AxisArrays v0.4.7
[ded0fc24] BVProblemLibrary v0.1.5
[aae01518] BandedMatrices v1.7.5
[6e4b80f9] BenchmarkTools v1.5.0
[d1d4a3ce] BitFlags v0.1.9
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[764a87c0] BoundaryValueDiffEq v5.11.0
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.6
[336ed68f] CSV v0.10.14
[159f3aea] Cairo v1.1.0
[13f3f980] CairoMakie v0.12.14
[d360d2e6] ChainRulesCore v1.25.0
[fb6a15b2] CloseOpenIntervals v0.1.13
[944b1d66] CodecZlib v0.7.6
[a2cac450] ColorBrewer v0.4.0
[35d6a980] ColorSchemes v3.26.0
[3da002f7] ColorTypes v0.11.5
[c3611d14] ColorVectorSpace v0.10.0
[5ae59095] Colors v0.12.11
[38540f10] CommonSolve v0.2.4
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.0.0
[34da2185] Compat v4.16.0
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[f0e56b4a] ConcurrentUtilities v2.4.2
[8f4d0f93] Conda v1.10.2
[187b0558] ConstructionBase v1.5.8
[d38c429a] Contour v0.6.3
[adafc99b] CpuId v0.3.1
[a8cc5b0e] Crayons v4.1.1
[9a962f9c] DataAPI v1.16.0
[a93c6f00] DataFrames v1.7.0
[864edb3b] DataStructures v0.18.20
[e2d170a0] DataValueInterfaces v1.0.0
[927a84f5] DelaunayTriangulation v1.6.0
[8bb1440f] DelimitedFiles v1.9.1
[2b5f629d] DiffEqBase v6.158.1
[f3b72e0c] DiffEqDevTools v2.45.1
[77a26b50] DiffEqNoiseProcess v5.23.0
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
⌃ [a0c0ee7d] DifferentiationInterface v0.6.13
[b4f34e82] Distances v0.10.11
[31c24e10] Distributions v0.25.112
[ffbed154] DocStringExtensions v0.9.3
[4e289a0a] EnumX v1.0.4
[f151be2c] EnzymeCore v0.8.4
[429591f6] ExactPredicates v2.2.8
[460bff9d] ExceptionUnwrapping v0.1.10
[d4d017d3] ExponentialUtilities v1.26.1
[e2ba6199] ExprTools v0.1.10
⌅ [6b7a57c9] Expronicon v0.8.5
[411431e0] Extents v0.1.4
[c87230d0] FFMPEG v0.4.2
[7a1cc6ca] FFTW v1.8.0
[9d29842c] FastAlmostBandedMatrices v0.1.4
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[29a986be] FastLapackInterface v2.0.4
[5789e2e9] FileIO v1.16.4
[8fc22ac5] FilePaths v0.8.3
[48062228] FilePathsBase v0.9.22
[1a297f60] FillArrays v1.13.0
[6a86dc24] FiniteDiff v2.26.0
[53c48c17] FixedPointNumbers v0.8.5
[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v0.10.36
[b38be410] FreeType v4.1.1
[663a7486] FreeTypeAbstraction v0.10.3
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[46192b85] GPUArraysCore v0.1.6
[28b8d3ca] GR v0.73.8
[c145ed77] GenericSchur v0.5.4
[68eda718] GeoFormatTypes v0.4.2
[cf35fbd7] GeoInterface v1.3.7
[5c1252a2] GeometryBasics v0.4.11
[d7ba0133] Git v1.3.1
[a2bd30eb] Graphics v1.1.2
[86223c79] Graphs v1.12.0
[3955a311] GridLayoutBase v0.11.0
[42e2da0e] Grisu v1.0.2
[cd3eb016] HTTP v1.10.8
[eafb193a] Highlights v0.5.3
[3e5b6fbb] HostCPUFeatures v0.1.17
[34004b35] HypergeometricFunctions v0.3.24
[7073ff75] IJulia v1.25.0
[615f187c] IfElse v0.1.1
[2803e5a7] ImageAxes v0.6.11
[c817782e] ImageBase v0.1.7
[a09fc81d] ImageCore v0.10.2
[82e4d734] ImageIO v0.6.8
[bc367c6b] ImageMetadata v0.9.9
[9b13fd28] IndirectArrays v1.0.0
[d25df0c9] Inflate v0.1.5
[842dd82b] InlineStrings v1.4.2
[a98d9a8b] Interpolations v0.15.1
[d1acc4aa] IntervalArithmetic v0.22.17
[8197267c] IntervalSets v0.7.10
[3587e190] InverseFunctions v0.1.17
[41ab1584] InvertedIndices v1.3.0
[92d709cd] IrrationalConstants v0.2.2
[f1662d9f] Isoband v0.1.1
[c8e1da08] IterTools v1.10.0
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.8
[692b3bcd] JLLWrappers v1.6.1
[682c06a0] JSON v0.21.4
[b835a17e] JpegTurbo v0.1.5
[ef3ab10e] KLU v0.6.0
[5ab0869b] KernelDensity v0.6.9
[ba0b0d4f] Krylov v0.9.6
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.5
[10f19ff3] LayoutPointers v0.1.17
[5078a376] LazyArrays v2.2.1
[8cdb02fc] LazyModules v0.3.1
[9c8b4983] LightXML v0.9.1
[87fe0de2] LineSearch v0.1.3
[d3d80556] LineSearches v7.3.0
[7ed4a6bd] LinearSolve v2.35.0
[2ab3a3ac] LogExpFunctions v0.3.28
[e6f89c97] LoggingExtras v1.0.3
[bdcacae8] LoopVectorization v0.12.171
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.13
[ee78f7c6] Makie v0.21.14
[20f20a25] MakieCore v0.8.9
[d125e4d3] ManualMemory v0.1.8
[dbb5928d] MappedArrays v0.4.2
[0a4f8689] MathTeXEngine v0.6.1
[a3b82374] MatrixFactorizations v3.0.1
[bb5d69b7] MaybeInplace v0.1.4
[739be429] MbedTLS v1.1.9
[442fdcdd] Measures v0.3.2
[e1d29d7a] Missings v1.2.0
[e94cdb99] MosaicViews v0.3.4
[46d2c3a1] MuladdMacro v0.2.4
[ffc61752] Mustache v1.0.20
[d41bc354] NLSolversBase v7.8.3
[2774e3e8] NLsolve v4.5.1
[77ba4419] NaNMath v1.0.2
[f09324ee] Netpbm v1.1.1
[8913a72c] NonlinearSolve v3.15.1
[54ca160b] ODEInterface v0.5.0
[0f4fe800] OMJulia v0.3.2
[510215fc] Observables v0.5.5
[6fe1bfb0] OffsetArrays v1.14.1
[52e1d378] OpenEXR v0.3.2
[4d8831e6] OpenSSL v1.4.3
[429524aa] Optim v1.9.4
[bac558e1] OrderedCollections v1.6.3
[1dea7af3] OrdinaryDiffEq v6.89.0
[89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.1.0
[6ad6398a] OrdinaryDiffEqBDF v1.1.2
[bbf590c4] OrdinaryDiffEqCore v1.7.1
[50262376] OrdinaryDiffEqDefault v1.1.0
[4302a76b] OrdinaryDiffEqDifferentiation v1.1.0
[9286f039] OrdinaryDiffEqExplicitRK v1.1.0
[e0540318] OrdinaryDiffEqExponentialRK v1.1.0
[becaefa8] OrdinaryDiffEqExtrapolation v1.1.0
[5960d6e9] OrdinaryDiffEqFIRK v1.1.1
[101fe9f7] OrdinaryDiffEqFeagin v1.1.0
[d3585ca7] OrdinaryDiffEqFunctionMap v1.1.1
[d28bc4f8] OrdinaryDiffEqHighOrderRK v1.1.0
[9f002381] OrdinaryDiffEqIMEXMultistep v1.1.0
[521117fe] OrdinaryDiffEqLinear v1.1.0
[1344f307] OrdinaryDiffEqLowOrderRK v1.2.0
[b0944070] OrdinaryDiffEqLowStorageRK v1.2.1
[127b3ac7] OrdinaryDiffEqNonlinearSolve v1.2.1
[c9986a66] OrdinaryDiffEqNordsieck v1.1.0
[5dd0a6cf] OrdinaryDiffEqPDIRK v1.1.0
[5b33eab2] OrdinaryDiffEqPRK v1.1.0
[04162be5] OrdinaryDiffEqQPRK v1.1.0
[af6ede74] OrdinaryDiffEqRKN v1.1.0
[43230ef6] OrdinaryDiffEqRosenbrock v1.2.0
[2d112036] OrdinaryDiffEqSDIRK v1.1.0
[669c94d9] OrdinaryDiffEqSSPRK v1.2.0
[e3e12d00] OrdinaryDiffEqStabilizedIRK v1.1.0
[358294b1] OrdinaryDiffEqStabilizedRK v1.1.0
[fa646aed] OrdinaryDiffEqSymplecticRK v1.1.0
[b1df2697] OrdinaryDiffEqTsit5 v1.1.0
[79d7bb75] OrdinaryDiffEqVerner v1.1.1
[90014a1f] PDMats v0.11.31
[f57f5aa1] PNGFiles v0.4.3
[65ce6f38] PackageExtensionCompat v1.0.2
[19eb6ba3] Packing v0.5.0
[5432bcbf] PaddedViews v0.5.12
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.1
[b98c9c47] Pipe v1.3.0
[eebad327] PkgVersion v0.3.3
[ccf2f8ad] PlotThemes v3.2.0
[995b91a9] PlotUtils v1.4.1
[91a5bcdd] Plots v1.40.8
[e409e4f3] PoissonRandom v0.4.4
[f517fe37] Polyester v0.7.16
[1d0040c9] PolyesterWeave v0.2.2
[647866c9] PolygonOps v0.1.2
[2dfb63ee] PooledArrays v1.4.3
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v0.4.24
[aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.4.3
[08abe8d2] PrettyTables v2.4.0
[92933f4c] ProgressMeter v1.10.2
[43287f4e] PtrArrays v1.2.1
[4b34888f] QOI v1.0.0
[1fd47b50] QuadGK v2.11.1
[74087812] Random123 v1.7.0
[e6cf234a] RandomNumbers v1.6.0
[b3c3ace0] RangeArrays v0.3.2
[c84ed2f1] Ratios v0.4.5
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[731186ca] RecursiveArrayTools v3.27.0
[f2c3362d] RecursiveFactorization v0.2.23
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.0
[ae5879a3] ResettableStacks v1.1.1
[79098fc4] Rmath v0.8.0
[47965b36] RootedTrees v2.23.1
[5eaf0fd0] RoundingEmulator v0.2.1
[7e49a35a] RuntimeGeneratedFunctions v0.5.13
[fdea26ae] SIMD v3.6.0
[94e857df] SIMDTypes v0.1.0
[476501e8] SLEEFPirates v0.6.43
[0bca4576] SciMLBase v2.56.1
[31c91b34] SciMLBenchmarks v0.1.3 `../..`
[19f34311] SciMLJacobianOperators v0.1.0
[c0aeaf25] SciMLOperators v0.3.10
[53ae85a6] SciMLStructures v1.5.0
[6c6a2e73] Scratch v1.2.1
[91c51154] SentinelArrays v1.4.5
[efcf1570] Setfield v1.1.1
[65257c39] ShaderAbstractions v0.4.1
[992d4aef] Showoff v1.0.3
[73760f76] SignedDistanceFields v0.4.0
[be0294bd] SimpleBoundaryValueDiffEq v1.1.0
[777ac1f9] SimpleBufferStream v1.2.0
[727e6d20] SimpleNonlinearSolve v1.12.3
[699a6c99] SimpleTraits v0.9.4
[ce78b400] SimpleUnPack v1.1.0
[45858cf5] Sixel v0.1.3
[b85f4697] SoftGlobalScope v1.1.0
[a2af1166] SortingAlgorithms v1.2.1
[9f842d2f] SparseConnectivityTracer v0.6.7
[47a9eef4] SparseDiffTools v2.23.0
[0a514795] SparseMatrixColorings v0.4.7
[e56a9233] Sparspak v0.3.9
[276daf66] SpecialFunctions v2.4.0
[cae243ae] StackViews v0.1.1
[aedffcd0] Static v1.1.1
[0d7ed370] StaticArrayInterface v1.8.0
[90137ffa] StaticArrays v1.9.7
[1e83bf80] StaticArraysCore v1.4.3
[82ae8749] StatsAPI v1.7.0
[2913bbd2] StatsBase v0.34.3
[4c63d2b9] StatsFuns v1.3.2
[7792a7ef] StrideArraysCore v0.5.7
[69024149] StringEncodings v0.3.7
[892a3eda] StringManipulation v0.4.0
[09ab397b] StructArrays v0.6.18
⌃ [2efcf032] SymbolicIndexingInterface v0.3.32
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.0
[62fd8b95] TensorCore v0.1.1
[8290d209] ThreadingUtilities v0.5.2
[731e570b] TiffImages v0.10.2
[a759f4b9] TimerOutputs v0.5.25
[3bb67fe8] TranscodingStreams v0.11.3
[d5829a12] TriangularSolve v0.2.1
[981d1d27] TriplotBase v0.1.0
[781d530d] TruncatedStacktraces v1.4.0
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.21.0
[45397f5d] UnitfulLatexify v1.6.4
[41fe7b60] Unzip v0.2.0
[3d5dd08c] VectorizationBase v0.21.70
[81def892] VersionParsing v1.3.0
[19fa3120] VertexSafeGraphs v0.2.0
[ea10d353] WeakRefStrings v1.4.2
[44d3d7a6] Weave v0.10.12
[efce3f68] WoodburyMatrices v1.0.0
[76eceee3] WorkerUtilities v1.6.1
[ddb6d928] YAML v0.4.12
[c2297ded] ZMQ v1.3.0
[6e34b625] Bzip2_jll v1.0.8+1
[4e9b3aee] CRlibm_jll v1.0.1+0
[83423d85] Cairo_jll v1.18.2+1
[ee1fde0b] Dbus_jll v1.14.10+0
[5ae413db] EarCut_jll v2.2.4+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+1
[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+1
[d2c73de3] GR_jll v0.73.8+0
[78b55507] Gettext_jll v0.21.0+0
[f8c6e375] Git_jll v2.46.2+0
[7746bdde] Glib_jll v2.80.5+0
[3b182d85] Graphite2_jll v1.3.14+0
[2e76f6c2] HarfBuzz_jll v8.3.1+0
[905a6f67] Imath_jll v3.1.11+0
[1d5cc7b8] IntelOpenMP_jll v2024.2.1+0
[aacddb02] JpegTurbo_jll v3.0.4+0
[c1c5ebd0] LAME_jll v3.100.2+0
[88015f11] LERC_jll v4.0.0+0
[1d63c593] LLVMOpenMP_jll v18.1.7+0
[dd4b983a] LZO_jll v2.10.2+1
⌅ [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 v4.7.0+0
[38a345b3] Libuuid_jll v2.40.1+0
[856f044c] MKL_jll v2024.2.0+0
[c771fb93] ODEInterface_jll v0.0.1+0
[e7412a2a] Ogg_jll v1.3.5+1
[18a262bb] OpenEXR_jll v3.2.4+0
[458c3c95] OpenSSL_jll v3.0.15+1
[efe28fd5] OpenSpecFun_jll v0.5.5+0
[91d4177d] Opus_jll v1.3.3+0
[36c8627f] Pango_jll v1.54.1+0
[30392449] Pixman_jll v0.43.4+0
[c0090381] Qt6Base_jll v6.7.1+1
[629bc702] Qt6Declarative_jll v6.7.1+2
[ce943373] Qt6ShaderTools_jll v6.7.1+1
[e99dba38] Qt6Wayland_jll v6.7.1+1
[f50d1b31] Rmath_jll v0.5.1+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 v2.13.3+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
[8f1865be] ZeroMQ_jll v4.3.5+0
[3161d3a3] Zstd_jll v1.5.6+1
[35ca27e7] eudev_jll v3.2.9+0
[214eeab7] fzf_jll v0.53.0+0
[1a1c6b14] gperf_jll v3.1.1+0
[9a68df92] isoband_jll v0.2.3+0
[a4ae2306] libaom_jll v3.9.0+0
[0ac62f75] libass_jll v0.15.2+0
[1183f4f0] libdecor_jll v0.2.2+0
[2db6ffa8] libevdev_jll v1.11.0+0
[f638f0a6] libfdk_aac_jll v2.0.3+0
[36db933b] libinput_jll v1.18.0+0
[b53b4c65] libpng_jll v1.6.44+0
[075b6546] libsixel_jll v1.10.3+1
[a9144af2] libsodium_jll v1.0.20+1
[f27f6e37] libvorbis_jll v1.3.7+2
[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
[8bf52ea8] CRC32c
[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 v5.11.0+0
[8e850ede] nghttp2_jll v1.52.0+1
[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`