Julia AD Benchmarks
using DifferentiationInterface, DifferentiationInterfaceTest, DataFrames, DataFramesMeta
import Enzyme, Zygote, Tapir
import Markdown, PrettyTables, Printf
function paritytrig(x::AbstractVector{T}) where {T}
y = zero(T)
for i in eachindex(x)
if iseven(i)
y += sin(x[i])
else
y += cos(x[i])
end
end
return y
end
backends = [
AutoEnzyme(mode=Enzyme.Reverse),
AutoTapir(safe_mode=false),
AutoZygote(),
];
scenarios = [
GradientScenario(paritytrig; x=rand(100), y=0.0, nb_args=1, place=:inplace),
GradientScenario(paritytrig; x=rand(10_000), y=0.0, nb_args=1, place=:inplace)
];
data = benchmark_differentiation(backends, scenarios, logging=true);
table = PrettyTables.pretty_table(
String,
data;
backend=Val(:markdown),
header=names(data),
formatters=PrettyTables.ft_printf("%.1e"),
)
Markdown.parse(table)| backend | scenario | operator | calls | samples | evals | time | allocs | bytes | gc_fraction | compile_fraction |
|---|---|---|---|---|---|---|---|---|---|---|
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 0.0e+00 | 1.0e+00 | 1.0e+00 | 5.6e-07 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 1.0e+00 | 3.0e+04 | 1.0e+00 | 2.0e-06 | 9.0e+00 | 1.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 1.0e+00 | 4.6e+04 | 1.0e+00 | 8.1e-07 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 0.0e+00 | 1.0e+00 | 1.0e+00 | 3.0e-08 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 1.0e+00 | 5.4e+02 | 1.0e+00 | 1.5e-04 | 9.0e+00 | 1.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoEnzyme(mode=ReverseMode{false, FFIABI, false}()) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 1.0e+00 | 8.7e+02 | 1.0e+00 | 9.1e-05 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 1.0e+00 | 1.0e+00 | 1.0e+00 | 1.0e-01 | 3.2e+05 | 2.2e+07 | 0.0e+00 | 8.6e-01 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 0.0e+00 | 1.5e+03 | 1.0e+00 | 3.2e-06 | 1.1e+01 | 5.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 0.0e+00 | 1.2e+03 | 1.0e+00 | 3.2e-06 | 1.1e+01 | 5.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 1.0e+00 | 1.0e+00 | 1.0e+00 | 1.6e-01 | 3.2e+05 | 2.3e+07 | 1.6e-01 | 9.1e-01 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 0.0e+00 | 1.8e+01 | 1.0e+00 | 2.1e-04 | 1.1e+01 | 5.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoTapir(safe_mode=false) | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 0.0e+00 | 1.5e+01 | 1.0e+00 | 2.1e-04 | 1.1e+01 | 5.9e+02 | 0.0e+00 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 0.0e+00 | 1.0e+00 | 1.0e+00 | 1.3e-07 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 1.0e+00 | 1.6e+02 | 1.0e+00 | 5.7e-04 | 3.9e+03 | 2.6e+05 | 0.0e+00 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 1.0e+00 | 1.2e+02 | 1.0e+00 | 5.7e-04 | 3.9e+03 | 2.6e+05 | 0.0e+00 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | prepare_gradient | 0.0e+00 | 1.0e+00 | 1.0e+00 | 3.0e-08 | 0.0e+00 | 0.0e+00 | 0.0e+00 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | valueandgradient! | 1.0e+00 | 1.0e+00 | 1.0e+00 | 1.5e-01 | 3.9e+05 | 8.2e+08 | 1.6e-01 | 0.0e+00 |
| AutoZygote() | Scenario{:gradient,1,:inplace} paritytrig : Vector{Float64} -> Float64 | gradient! | 1.0e+00 | 1.0e+00 | 1.0e+00 | 1.5e-01 | 3.9e+05 | 8.2e+08 | 1.6e-01 | 0.0e+00 |
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/AutomaticDifferentiation","JuliaAD.jmd")Computer Information:
Julia Version 1.10.9
Commit 5595d20a287 (2025-03-10 12:51 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/AutomaticDifferentiation/Project.toml`
⌃ [6e4b80f9] BenchmarkTools v1.5.0
⌃ [a93c6f00] DataFrames v1.6.1
⌃ [1313f7d8] DataFramesMeta v0.15.3
⌅ [a0c0ee7d] DifferentiationInterface v0.5.9
⌅ [a82114a7] DifferentiationInterfaceTest v0.5.0
⌅ [7da242da] Enzyme v0.12.25
⌃ [6a86dc24] FiniteDiff v2.23.1
⌅ [f6369f11] ForwardDiff v0.10.36
⌃ [1dea7af3] OrdinaryDiffEq v6.86.0
⌃ [65888b18] ParameterizedFunctions v5.17.0
⌃ [91a5bcdd] Plots v1.40.5
⌃ [08abe8d2] PrettyTables v2.3.2
[37e2e3b7] ReverseDiff v1.15.3
[31c91b34] SciMLBenchmarks v0.1.3
⌃ [1ed8b502] SciMLSensitivity v7.64.0
⌃ [90137ffa] StaticArrays v1.9.7
⌃ [07d77754] Tapir v0.2.26
⌃ [9f7883ad] Tracker v0.2.34
⌅ [e88e6eb3] Zygote v0.6.70
[37e2e46d] LinearAlgebra
[d6f4376e] Markdown
[de0858da] Printf
[8dfed614] Test
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`
Warning The project dependencies or compat requirements have changed since the manifest was last resolved. It is recommended to `Pkg.resolve()` or consider `Pkg.update()` if necessary.And the full manifest:
Status `/cache/build/exclusive-amdci1-0/julialang/scimlbenchmarks-dot-jl/benchmarks/AutomaticDifferentiation/Manifest.toml`
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[a7c27f48] Unityper v0.1.6
⌅ [013be700] UnsafeAtomics v0.2.1
⌅ [d80eeb9a] UnsafeAtomicsLLVM v0.1.5
[41fe7b60] Unzip v0.2.0
⌃ [3d5dd08c] VectorizationBase v0.21.70
[81def892] VersionParsing v1.3.0
[19fa3120] VertexSafeGraphs v0.2.0
[44d3d7a6] Weave v0.10.12
⌃ [ddb6d928] YAML v0.4.11
⌃ [c2297ded] ZMQ v1.2.6
⌅ [e88e6eb3] Zygote v0.6.70
⌃ [700de1a5] ZygoteRules v0.2.5
⌃ [6e34b625] Bzip2_jll v1.0.8+1
⌃ [83423d85] Cairo_jll v1.18.0+2
⌅ [7cc45869] Enzyme_jll v0.0.137+0
⌃ [2702e6a9] EpollShim_jll v0.0.20230411+0
⌃ [2e619515] Expat_jll v2.6.2+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+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+0
⌅ [d2c73de3] GR_jll v0.73.7+0
[78b55507] Gettext_jll v0.21.0+0
⌃ [f8c6e375] Git_jll v2.44.0+2
⌃ [7746bdde] Glib_jll v2.80.2+0
⌃ [3b182d85] Graphite2_jll v1.3.14+0
⌅ [2e76f6c2] HarfBuzz_jll v2.8.1+1
⌅ [1d5cc7b8] IntelOpenMP_jll v2024.2.0+0
⌃ [aacddb02] JpegTurbo_jll v3.0.3+0
[c1c5ebd0] LAME_jll v3.100.2+0
⌅ [88015f11] LERC_jll v3.0.0+1
⌅ [dad2f222] LLVMExtra_jll v0.0.30+0
⌃ [1d63c593] LLVMOpenMP_jll v15.0.7+0
⌃ [dd4b983a] LZO_jll v2.10.2+0
⌅ [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 v4.5.1+1
⌃ [38a345b3] Libuuid_jll v2.40.1+0
⌃ [856f044c] MKL_jll v2024.2.0+0
[e7412a2a] Ogg_jll v1.3.5+1
⌃ [458c3c95] OpenSSL_jll v3.0.14+0
⌃ [efe28fd5] OpenSpecFun_jll v0.5.5+0
⌃ [91d4177d] Opus_jll v1.3.2+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 v0.4.2+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 v2.13.1+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+0
[35ca27e7] eudev_jll v3.2.9+0
⌅ [214eeab7] fzf_jll v0.43.0+0
⌃ [1a1c6b14] gperf_jll v3.1.1+0
⌃ [a4ae2306] libaom_jll v3.9.0+0
⌃ [0ac62f75] libass_jll v0.15.1+0
[2db6ffa8] libevdev_jll v1.11.0+0
⌃ [f638f0a6] libfdk_aac_jll v2.0.2+0
[36db933b] libinput_jll v1.18.0+0
⌃ [b53b4c65] libpng_jll v1.6.43+1
⌃ [a9144af2] libsodium_jll v1.0.20+0
⌃ [f27f6e37] libvorbis_jll v1.3.7+1
[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
[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 v5.8.0+1
[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`
Warning The project dependencies or compat requirements have changed since the manifest was last resolved. It is recommended to `Pkg.resolve()` or consider `Pkg.update()` if necessary.