Adaptive Efficiency Tests
using Distributed
addprocs(2)
p1 = Vector{Any}(undef,3)
p2 = Vector{Any}(undef,3)
p3 = Vector{Any}(undef,3)
@everywhere begin
using StochasticDiffEq, SDEProblemLibrary, DiffEqNoiseProcess, Plots, ParallelDataTransfer
import SDEProblemLibrary: prob_sde_additive,
prob_sde_linear, prob_sde_wave
end
using StochasticDiffEq, SDEProblemLibrary, DiffEqNoiseProcess, Plots, ParallelDataTransfer
import SDEProblemLibrary: prob_sde_additive,
prob_sde_linear, prob_sde_wave
probs = Matrix{SDEProblem}(undef,3,3)
## Problem 1
prob = prob_sde_linear
probs[1,1] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM1)))
probs[1,2] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM2)))
probs[1,3] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM3)))
## Problem 2
prob = prob_sde_wave
probs[2,1] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM1)))
probs[2,2] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM2)))
probs[2,3] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM3)))
## Problem 3
prob = prob_sde_additive
probs[3,1] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM1)))
probs[3,2] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM2)))
probs[3,3] = SDEProblem(prob.f,prob.g,prob.u0,prob.tspan,prob.p,noise=WienerProcess(0.0,0.0,0.0,rswm=RSWM(adaptivealg=:RSwM3)))
fullMeans = Vector{Array}(undef,3)
fullMedians = Vector{Array}(undef,3)
fullElapsed = Vector{Array}(undef,3)
fullTols = Vector{Array}(undef,3)
offset = 0
Ns = [17,23,
17]
Error: On worker 2:
ArgumentError: Package StochasticDiffEq [789caeaf-c7a9-5a7d-9973-96adeb23e2
a0] is required but does not seem to be installed:
- Run `Pkg.instantiate()` to install all recorded dependencies.
Stacktrace:
[1] _require
@ ./loading.jl:1089
[2] require
@ ./loading.jl:1013
[3] #2
@ /cache/julia-buildkite-plugin/julia_installs/bin/linux/x64/1.7/julia-1
.7-latest-linux-x86_64/share/julia/stdlib/v1.7/Distributed/src/Distributed.
jl:79
[4] #114
@ /cache/julia-buildkite-plugin/julia_installs/bin/linux/x64/1.7/julia-1
.7-latest-linux-x86_64/share/julia/stdlib/v1.7/Distributed/src/process_mess
ages.jl:294
[5] run_work_thunk
@ /cache/julia-buildkite-plugin/julia_installs/bin/linux/x64/1.7/julia-1
.7-latest-linux-x86_64/share/julia/stdlib/v1.7/Distributed/src/process_mess
ages.jl:63
[6] run_work_thunk
@ /cache/julia-buildkite-plugin/julia_installs/bin/linux/x64/1.7/julia-1
.7-latest-linux-x86_64/share/julia/stdlib/v1.7/Distributed/src/process_mess
ages.jl:72
[7] #100
@ ./task.jl:429
...and 1 more exception.
Timings are only valid if no workers die. Workers die if you run out of memory.
for k in 1:size(probs,1)
global probs, Ns, fullMeans, fullMedians, fullElapsed, fullTols
println("Problem $k")
## Setup
N = Ns[k]
msims = Vector{Any}(undef,N)
elapsed = Array{Float64}(undef,N,3)
medians = Array{Float64}(undef,N,3)
means = Array{Float64}(undef,N,3)
tols = Array{Float64}(undef,N,3)
#Compile
prob = probs[k,1]
ParallelDataTransfer.sendto(workers(), prob=prob)
monte_prob = EnsembleProblem(prob)
solve(monte_prob,SRIW1(),dt=1/2^(4),adaptive=true,trajectories=1000,abstol=2.0^(-1),reltol=0)
println("RSwM1")
for i=1+offset:N+offset
tols[i-offset,1] = 2.0^(-i-1)
msims[i-offset] = DiffEqBase.calculate_monte_errors(solve(monte_prob,SRIW1(),
trajectories=1000,abstol=2.0^(-i-1),
reltol=0,force_dtmin=true))
elapsed[i-offset,1] = msims[i-offset].elapsedTime
medians[i-offset,1] = msims[i-offset].error_medians[:final]
means[i-offset,1] = msims[i-offset].error_means[:final]
end
println("RSwM2")
prob = probs[k,2]
ParallelDataTransfer.sendto(workers(), prob=prob)
monte_prob = EnsembleProblem(prob)
solve(monte_prob,SRIW1(),dt=1/2^(4),adaptive=true,trajectories=1000,abstol=2.0^(-1),reltol=0)
for i=1+offset:N+offset
tols[i-offset,2] = 2.0^(-i-1)
msims[i-offset] = DiffEqBase.calculate_monte_errors(solve(monte_prob,SRIW1(),
trajectories=1000,abstol=2.0^(-i-1),
reltol=0,force_dtmin=true))
elapsed[i-offset,2] = msims[i-offset].elapsedTime
medians[i-offset,2] = msims[i-offset].error_medians[:final]
means[i-offset,2] = msims[i-offset].error_means[:final]
end
println("RSwM3")
prob = probs[k,3]
ParallelDataTransfer.sendto(workers(), prob=prob)
monte_prob = EnsembleProblem(prob)
solve(monte_prob,SRIW1(),dt=1/2^(4),adaptive=true,trajectories=1000,abstol=2.0^(-1),reltol=0)
for i=1+offset:N+offset
tols[i-offset,3] = 2.0^(-i-1)
msims[i-offset] = DiffEqBase.calculate_monte_errors(solve(monte_prob,SRIW1(),
adaptive=true,trajectories=1000,abstol=2.0^(-i-1),
reltol=0,force_dtmin=true))
elapsed[i-offset,3] = msims[i-offset].elapsedTime
medians[i-offset,3] = msims[i-offset].error_medians[:final]
means[i-offset,3] = msims[i-offset].error_means[:final]
end
fullMeans[k] = means
fullMedians[k] =medians
fullElapsed[k] = elapsed
fullTols[k] = tols
end
Error: UndefVarError: probs not defined
gr(fmt=:svg)
lw=3
leg=String["RSwM1","RSwM2","RSwM3"]
titleFontSize = 16
guideFontSize = 14
legendFontSize= 14
tickFontSize = 12
for k in 1:size(probs,1)
global probs, Ns, fullMeans, fullMedians, fullElapsed, fullTols
p1[k] = Plots.plot(fullTols[k],fullMeans[k],xscale=:log10,yscale=:log10, xguide="Absolute Tolerance",yguide="Mean Final Error",title="Example $k" ,linewidth=lw,grid=false,lab=leg,titlefont=font(titleFontSize),legendfont=font(legendFontSize),tickfont=font(tickFontSize),guidefont=font(guideFontSize))
p2[k] = Plots.plot(fullTols[k],fullMedians[k],xscale=:log10,yscale=:log10,xguide="Absolute Tolerance",yguide="Median Final Error",title="Example $k",linewidth=lw,grid=false,lab=leg,titlefont=font(titleFontSize),legendfont=font(legendFontSize),tickfont=font(tickFontSize),guidefont=font(guideFontSize))
p3[k] = Plots.plot(fullTols[k],fullElapsed[k],xscale=:log10,yscale=:log10,xguide="Absolute Tolerance",yguide="Elapsed Time",title="Example $k" ,linewidth=lw,grid=false,lab=leg,titlefont=font(titleFontSize),legendfont=font(legendFontSize),tickfont=font(tickFontSize),guidefont=font(guideFontSize))
end
Plots.plot!(p1[1])
Plots.plot(p1[1],p1[2],p1[3],layout=(3,1),size=(1000,800))
Error: UndefVarError: gr not defined
#savefig("meanvstol.png")
#savefig("meanvstol.pdf")
plot(p3[1],p3[2],p3[3],layout=(3,1),size=(1000,800))
#savefig("timevstol.png")
#savefig("timevstol.pdf")
Error: UndefRefError: access to undefined reference
plot(p1[1],p3[1],p1[2],p3[2],p1[3],p3[3],layout=(3,2),size=(1000,800))
Error: UndefRefError: access to undefined reference
using SciMLBenchmarks
SciMLBenchmarks.bench_footer(WEAVE_ARGS[:folder],WEAVE_ARGS[:file])
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/AdaptiveSDE","AdaptiveEfficiencyTests.jmd")
Computer Information:
Julia Version 1.7.3
Commit 742b9abb4d (2022-05-06 12:58 UTC)
Platform Info:
OS: Linux (x86_64-pc-linux-gnu)
CPU: AMD EPYC 7502 32-Core Processor
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-12.0.1 (ORCJIT, znver2)
Environment:
JULIA_CPU_THREADS = 128
BUILDKITE_PLUGIN_JULIA_CACHE_DIR = /cache/julia-buildkite-plugin
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/AdaptiveSDE/Project.toml`
[77a26b50] DiffEqNoiseProcess v5.13.0
[2dcacdae] ParallelDataTransfer v0.5.0
[91a5bcdd] Plots v1.34.0
[c72e72a9] SDEProblemLibrary v0.1.3
[31c91b34] SciMLBenchmarks v0.1.1
[789caeaf] StochasticDiffEq v6.54.0
[8ba89e20] Distributed
[9a3f8284] Random
And the full manifest:
Status `/cache/build/exclusive-amdci1-0/julialang/scimlbenchmarks-dot-jl/benchmarks/AdaptiveSDE/Manifest.toml`
[c3fe647b] AbstractAlgebra v0.27.4
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[7e76a0d4] Libglvnd_jll v1.3.0+3
[7add5ba3] Libgpg_error_jll v1.42.0+0
[94ce4f54] Libiconv_jll v1.16.1+1
[4b2f31a3] Libmount_jll v2.35.0+0
[89763e89] Libtiff_jll v4.4.0+0
[38a345b3] Libuuid_jll v2.36.0+0
[e7412a2a] Ogg_jll v1.3.5+1
[458c3c95] OpenSSL_jll v1.1.17+0
[efe28fd5] OpenSpecFun_jll v0.5.5+0
[91d4177d] Opus_jll v1.3.2+0
[2f80f16e] PCRE_jll v8.44.0+0
[30392449] Pixman_jll v0.40.1+0
[ea2cea3b] Qt5Base_jll v5.15.3+1
[f50d1b31] Rmath_jll v0.3.0+0
[a2964d1f] Wayland_jll v1.19.0+0
[2381bf8a] Wayland_protocols_jll v1.25.0+0
[02c8fc9c] XML2_jll v2.9.14+0
[aed1982a] XSLT_jll v1.1.34+0
[4f6342f7] Xorg_libX11_jll v1.6.9+4
[0c0b7dd1] Xorg_libXau_jll v1.0.9+4
[935fb764] Xorg_libXcursor_jll v1.2.0+4
[a3789734] Xorg_libXdmcp_jll v1.1.3+4
[1082639a] Xorg_libXext_jll v1.3.4+4
[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 v0.9.10+4
[14d82f49] Xorg_libpthread_stubs_jll v0.1.0+3
[c7cfdc94] Xorg_libxcb_jll v1.13.0+3
[cc61e674] Xorg_libxkbfile_jll v1.1.0+4
[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 v1.4.2+4
[33bec58e] Xorg_xkeyboard_config_jll v2.27.0+4
[c5fb5394] Xorg_xtrans_jll v1.4.0+3
[8f1865be] ZeroMQ_jll v4.3.4+0
[3161d3a3] Zstd_jll v1.5.2+0
[214eeab7] fzf_jll v0.29.0+0
[a4ae2306] libaom_jll v3.4.0+0
[0ac62f75] libass_jll v0.15.1+0
[f638f0a6] libfdk_aac_jll v2.0.2+0
[b53b4c65] libpng_jll v1.6.38+0
[a9144af2] libsodium_jll v1.0.20+0
[f27f6e37] libvorbis_jll v1.3.7+1
[1270edf5] x264_jll v2021.5.5+0
[dfaa095f] x265_jll v3.5.0+0
[d8fb68d0] xkbcommon_jll v1.4.1+0
[0dad84c5] ArgTools v1.1.1
[56f22d72] Artifacts
[2a0f44e3] Base64
[ade2ca70] Dates
[8bb1440f] DelimitedFiles
[8ba89e20] Distributed
[f43a241f] Downloads v1.6.0
[7b1f6079] FileWatching
[9fa8497b] Future
[b77e0a4c] InteractiveUtils
[b27032c2] LibCURL v0.6.3
[76f85450] LibGit2
[8f399da3] Libdl
[37e2e46d] LinearAlgebra
[56ddb016] Logging
[d6f4376e] Markdown
[a63ad114] Mmap
[ca575930] NetworkOptions v1.2.0
[44cfe95a] Pkg v1.8.0
[de0858da] Printf
[3fa0cd96] REPL
[9a3f8284] Random
[ea8e919c] SHA v0.7.0
[9e88b42a] Serialization
[1a1011a3] SharedArrays
[6462fe0b] Sockets
[2f01184e] SparseArrays
[10745b16] Statistics
[4607b0f0] SuiteSparse
[fa267f1f] TOML v1.0.0
[a4e569a6] Tar v1.10.0
[8dfed614] Test
[cf7118a7] UUIDs
[4ec0a83e] Unicode
[e66e0078] CompilerSupportLibraries_jll v0.5.2+0
[deac9b47] LibCURL_jll v7.84.0+0
[29816b5a] LibSSH2_jll v1.10.2+0
[c8ffd9c3] MbedTLS_jll v2.28.0+0
[14a3606d] MozillaCACerts_jll v2022.2.1
[4536629a] OpenBLAS_jll v0.3.20+0
[05823500] OpenLibm_jll v0.8.1+0
[efcefdf7] PCRE2_jll v10.40.0+0
[bea87d4a] SuiteSparse_jll v5.10.1+0
[83775a58] Zlib_jll v1.2.12+3
[8e850b90] libblastrampoline_jll v5.1.1+0
[8e850ede] nghttp2_jll v1.48.0+0
[3f19e933] p7zip_jll v17.4.0+0