Package evaluation to test LatticeDiracOperators on Julia 1.14.0-DEV.24 (d5fb6bbb43*) started at 2025-11-02T20:16:17.180 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 8.69s ################################################################################ # Installation # Installing LatticeDiracOperators... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [019239df] + LatticeDiracOperators v0.5.7 Updating `~/.julia/environments/v1.14/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [a9b6321e] + Atomix v1.1.2 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.19.1 [31c24e10] + Distributions v0.25.122 [ffbed154] + DocStringExtensions v0.9.5 [8f5d6c58] + EzXML v1.2.3 [5789e2e9] + FileIO v1.17.1 [1a297f60] + FillArrays v1.14.0 [a461e10c] + Gaugefields v0.6.11 [076d061b] + HashArrayMappedTries v0.2.0 [34004b35] + HypergeometricFunctions v0.3.28 [92d709cd] + IrrationalConstants v0.2.6 [0979c8fe] + JACC v0.5.0 ⌅ [033835bb] + JLD2 v0.5.15 [692b3bcd] + JLLWrappers v1.7.1 [b964fa9f] + LaTeXStrings v1.4.0 [019239df] + LatticeDiracOperators v0.5.7 [dd6a91e4] + LatticeMatrices v0.1.14 [2ab3a3ac] + LogExpFunctions v0.3.29 [da04e1cc] + MPI v0.20.23 [3da0fdf6] + MPIPreferences v0.1.11 [1914dd2f] + MacroTools v0.5.16 [e1d29d7a] + Missings v1.2.0 [15e1cf62] + NPZ v0.4.3 [bac558e1] + OrderedCollections v1.8.1 [90014a1f] + PDMats v0.11.36 [eebad327] + PkgVersion v0.3.3 [f9710d63] + PreallocatedArrays v0.0.1 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.0 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [79098fc4] + Rmath v0.9.0 [7e506255] + ScopedValues v1.5.0 [a2af1166] + SortingAlgorithms v1.2.2 [276daf66] + SpecialFunctions v2.6.1 [860ef19b] + StableRNGs v1.0.3 [90137ffa] + StaticArrays v1.9.15 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.1 [2913bbd2] + StatsBase v0.34.7 [4c63d2b9] + StatsFuns v1.5.2 [3bb67fe8] + TranscodingStreams v0.11.3 [013be700] + UnsafeAtomics v0.3.0 [f3c8d4fe] + Wilsonloop v0.1.5 [a5390f91] + ZipFile v0.10.1 [acb6dc63] + AlgRemez_jll v0.1.1+0 [3c6ae550] + CLIME_jll v1.3.2+0 ⌃ [e33a78d0] + Hwloc_jll v2.12.1+0 [94ce4f54] + Libiconv_jll v1.18.0+0 [7cb0a576] + MPICH_jll v4.3.2+0 [f1f71cc9] + MPItrampoline_jll v5.5.4+0 [9237b28f] + MicrosoftMPI_jll v10.1.4+3 [fe0851c0] + OpenMPI_jll v5.0.8+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 [02c8fc9c] + XML2_jll v2.15.1+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 v1.7.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.13.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [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 v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [deac9b47] + LibCURL_jll v8.16.0+0 [e37daf67] + LibGit2_jll v1.9.1+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [3a97d323] + MPFR_jll v4.2.2+0 [14a3606d] + MozillaCACerts_jll v2025.9.9 [4536629a] + OpenBLAS_jll v0.3.29+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.4+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.1+2 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.67.1+0 [3f19e933] + p7zip_jll v17.6.0+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 -m` Installation completed after 6.83s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... ┌ Error: Failed to use TestEnv.jl; test dependencies will not be precompiled │ exception = │ UndefVarError: `project_rel_path` not defined in `TestEnv` │ Suggestion: this global was defined as `Pkg.Operations.project_rel_path` but not assigned a value. │ Stacktrace: │ [1] get_test_dir(ctx::Pkg.Types.Context, pkgspec::PackageSpec) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:75 │ [2] test_dir_has_project_file │ @ ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:52 [inlined] │ [3] maybe_gen_project_override! │ @ ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:83 [inlined] │ [4] activate(pkg::String; allow_reresolve::Bool) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/activate_set.jl:12 │ [5] activate(pkg::String) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/activate_set.jl:9 │ [6] top-level scope │ @ /PkgEval.jl/scripts/precompile.jl:24 │ [7] include(mod::Module, _path::String) │ @ Base ./Base.jl:309 │ [8] exec_options(opts::Base.JLOptions) │ @ Base ./client.jl:344 │ [9] _start() │ @ Base ./client.jl:577 └ @ Main /PkgEval.jl/scripts/precompile.jl:26 Precompiling package dependencies... Precompiling packages... 1173.4 ms ✓ CLIME_jll 1111.9 ms ✓ AlgRemez_jll 7219.1 ms ✓ LatticeMatrices 2713.6 ms ✓ StatsFuns 9911.6 ms ✓ Distributions 3919.4 ms ✓ Distributions → DistributionsTestExt 17910.9 ms ✓ Gaugefields 16484.9 ms ✓ LatticeDiracOperators 8 dependencies successfully precompiled in 69 seconds. 99 already precompiled. Precompilation completed after 76.3s ################################################################################ # Testing # Testing LatticeDiracOperators Status `/tmp/jl_JFeVBv/Project.toml` [a461e10c] Gaugefields v0.6.11 [0979c8fe] JACC v0.5.0 ⌅ [033835bb] JLD2 v0.5.15 [019239df] LatticeDiracOperators v0.5.7 [dd6a91e4] LatticeMatrices v0.1.14 [da04e1cc] MPI v0.20.23 [ae029012] Requires v1.3.1 [90137ffa] StaticArrays v1.9.15 [f3c8d4fe] Wilsonloop v0.1.5 [acb6dc63] AlgRemez_jll v0.1.1+0 [b77e0a4c] InteractiveUtils v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [2f01184e] SparseArrays v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_JFeVBv/Manifest.toml` [66dad0bd] AliasTables v1.1.3 [a9b6321e] Atomix v1.1.2 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.19.1 [31c24e10] Distributions v0.25.122 [ffbed154] DocStringExtensions v0.9.5 [8f5d6c58] EzXML v1.2.3 [5789e2e9] FileIO v1.17.1 [1a297f60] FillArrays v1.14.0 [a461e10c] Gaugefields v0.6.11 [076d061b] HashArrayMappedTries v0.2.0 [34004b35] HypergeometricFunctions v0.3.28 [92d709cd] IrrationalConstants v0.2.6 [0979c8fe] JACC v0.5.0 ⌅ [033835bb] JLD2 v0.5.15 [692b3bcd] JLLWrappers v1.7.1 [b964fa9f] LaTeXStrings v1.4.0 [019239df] LatticeDiracOperators v0.5.7 [dd6a91e4] LatticeMatrices v0.1.14 [2ab3a3ac] LogExpFunctions v0.3.29 [da04e1cc] MPI v0.20.23 [3da0fdf6] MPIPreferences v0.1.11 [1914dd2f] MacroTools v0.5.16 [e1d29d7a] Missings v1.2.0 [15e1cf62] NPZ v0.4.3 [bac558e1] OrderedCollections v1.8.1 [90014a1f] PDMats v0.11.36 [eebad327] PkgVersion v0.3.3 [f9710d63] PreallocatedArrays v0.0.1 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.0 [43287f4e] PtrArrays v1.3.0 [1fd47b50] QuadGK v2.11.2 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [79098fc4] Rmath v0.9.0 [7e506255] ScopedValues v1.5.0 [a2af1166] SortingAlgorithms v1.2.2 [276daf66] SpecialFunctions v2.6.1 [860ef19b] StableRNGs v1.0.3 [90137ffa] StaticArrays v1.9.15 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.7.1 [2913bbd2] StatsBase v0.34.7 [4c63d2b9] StatsFuns v1.5.2 [3bb67fe8] TranscodingStreams v0.11.3 [013be700] UnsafeAtomics v0.3.0 [f3c8d4fe] Wilsonloop v0.1.5 [a5390f91] ZipFile v0.10.1 [acb6dc63] AlgRemez_jll v0.1.1+0 [3c6ae550] CLIME_jll v1.3.2+0 ⌃ [e33a78d0] Hwloc_jll v2.12.1+0 [94ce4f54] Libiconv_jll v1.18.0+0 [7cb0a576] MPICH_jll v4.3.2+0 [f1f71cc9] MPItrampoline_jll v5.5.4+0 [9237b28f] MicrosoftMPI_jll v10.1.4+3 [fe0851c0] OpenMPI_jll v5.0.8+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [f50d1b31] Rmath_jll v0.5.1+0 [02c8fc9c] XML2_jll v2.15.1+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 v1.7.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.13.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.13.0 [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 v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.16.0+0 [e37daf67] LibGit2_jll v1.9.1+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.9.9 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.4+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.67.1+0 [3f19e933] p7zip_jll v17.6.0+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. Testing Running tests... Domainwall 4D DW 12689.944157078016 scaled Shamir kernel (Mobius DW) is used 12474.980972373232 Staggered HMC NC = 1 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" ------------------------- ---------------------------------------------- Nf = 4 Sfold = 20.469764679047348 + 0.0im Sfold = 14.461283542310326 Sfnew = 16.278970724095117 Sold = -57.034003128809246, Snew = -57.063230901024184 Snew - Sold = -0.029227772214937886 6.729394 seconds (1.89 M allocations: 101.374 MiB, 0.40% gc time, 99.91% compilation time) 1 plaq_t = 0.15909687702509162 acceptance ratio 1.0 Sfold = 18.481479113891865 Sfnew = 15.963246859178172 Sold = -53.623029475517725, Snew = -53.6236932611028 Snew - Sold = -0.0006637855850755159 0.004524 seconds (22.36 k allocations: 2.003 MiB) 2 plaq_t = 0.15962402621365518 acceptance ratio 1.0 Sfold = 11.203378934725045 Sfnew = 13.129666179461259 Sold = -52.634170591135565, Snew = -52.65340682219355 Snew - Sold = -0.019236231057988107 0.004350 seconds (22.38 k allocations: 2.005 MiB) 3 plaq_t = 0.15832446610502085 acceptance ratio 1.0 Sfold = 11.285833031661019 Sfnew = 14.373836755604204 Sold = -50.13028661846001, Snew = -50.191831983723134 Snew - Sold = -0.06154536526312171 0.004746 seconds (22.36 k allocations: 2.003 MiB) 4 plaq_t = 0.14614520761480435 acceptance ratio 1.0 Sfold = 21.14157499312974 Sfnew = 20.516799224877907 Sold = -41.39894723781657, Snew = -41.39907018783788 Snew - Sold = -0.00012295002130713328 0.006096 seconds (22.40 k allocations: 2.006 MiB) 5 plaq_t = 0.14736227714279046 acceptance ratio 1.0 Sfold = 13.734320113826687 Sfnew = 14.613891408654665 Sold = -49.52242912088286, Snew = -49.510484259560556 Snew - Sold = 0.011944861322305655 0.006410 seconds (22.40 k allocations: 2.006 MiB) 6 plaq_t = 0.15264212130994642 acceptance ratio 1.0 Sfold = 11.203435419952852 Sfnew = 9.287785475127713 Sold = -53.40834536063717, Snew = -53.421880248856475 Snew - Sold = -0.013534888219304264 0.006128 seconds (22.41 k allocations: 2.006 MiB) 7 plaq_t = 0.14668507377635603 acceptance ratio 1.0 Sfold = 19.93903954269402 Sfnew = 19.79958196729721 Sold = -44.10351303811538, Snew = -44.08538080798614 Snew - Sold = 0.0181322301292397 0.006068 seconds (22.38 k allocations: 2.004 MiB) 8 plaq_t = 0.15282418354456107 acceptance ratio 1.0 Sfold = 15.952766727746948 Sfnew = 16.24423709166956 Sold = -47.574873222806005, Snew = -47.594526239682466 Snew - Sold = -0.019653016876461038 0.005716 seconds (22.42 k allocations: 2.007 MiB) 9 plaq_t = 0.1479914737328019 acceptance ratio 1.0 Sfold = 24.73779355187876 Sfnew = 24.65038077753755 Sold = -27.615549055498484, Snew = -27.611762217622164 Snew - Sold = 0.0037868378763192823 0.006163 seconds (22.42 k allocations: 2.008 MiB) 10 plaq_t = 0.14693717541316514 acceptance ratio 1.0 Nf = 2 Sfold = 4.242813200204903 + 0.0im Sfold = 7.941676927389259 Sfnew = 7.919005304688759 Sold = -55.74346856574769, Snew = -55.70497048995884 Snew - Sold = 0.03849807578885134 0.463032 seconds (86.92 k allocations: 5.554 MiB, 98.92% compilation time) 1 plaq_t = 0.15533994965764486 acceptance ratio 1.0 Sfold = 7.051480284842898 Sfnew = 8.008843775336539 Sold = -55.36064618702109, Snew = -55.37214966060822 Snew - Sold = -0.011503473587133328 0.005022 seconds (23.02 k allocations: 2.061 MiB) 2 plaq_t = 0.15260532752156086 acceptance ratio 1.0 Sfold = 8.697857154114683 Sfnew = 7.989069607603349 Sold = -55.587872449367424, Snew = -55.55364992673295 Snew - Sold = 0.03422252263447234 0.005991 seconds (23.03 k allocations: 2.061 MiB) 3 plaq_t = 0.15898410187253154 acceptance ratio 1.0 Sfold = 9.745271513946877 Sfnew = 9.252544777941734 Sold = -58.51174725048243, Snew = -58.52027950080347 Snew - Sold = -0.008532250321039214 0.006385 seconds (23.03 k allocations: 2.061 MiB) 4 plaq_t = 0.1556684736748825 acceptance ratio 1.0 Sfold = 17.27262353837609 Sfnew = 18.78101301924018 Sold = -46.58607507081064, Snew = -46.5889039139044 Snew - Sold = -0.002828843093766409 0.006398 seconds (22.94 k allocations: 2.054 MiB) 5 plaq_t = 0.15242916040437612 acceptance ratio 1.0 Sfold = 6.223864595333013 Sfnew = 6.524641845014055 Sold = -62.4000635630028, Snew = -62.38686411619492 Snew - Sold = 0.013199446807881543 0.006980 seconds (22.98 k allocations: 2.057 MiB) 6 plaq_t = 0.15736575231169728 acceptance ratio 1.0 Sfold = 11.273847249249238 Sfnew = 11.324731818305931 Sold = -53.47582764223173, Snew = -53.514585764928725 Snew - Sold = -0.03875812269699708 0.006527 seconds (22.97 k allocations: 2.056 MiB) 7 plaq_t = 0.1440041900691588 acceptance ratio 1.0 Sfold = 7.487164304175028 Sfnew = 7.663870217116596 Sold = -51.79474115786799, Snew = -51.78899810332001 Snew - Sold = 0.005743054547977522 0.007015 seconds (22.96 k allocations: 2.057 MiB) 8 plaq_t = 0.1513640032437607 acceptance ratio 1.0 Sfold = 7.870256822630609 Sfnew = 7.493650737673744 Sold = -57.24263766468481, Snew = -57.247317855186196 Snew - Sold = -0.0046801905013893474 0.006934 seconds (22.98 k allocations: 2.058 MiB) 9 plaq_t = 0.1510758381050012 acceptance ratio 1.0 Sfold = 8.421566020285184 Sfnew = 7.821937881450995 Sold = -53.713090198152855, Snew = -53.725453726261 Snew - Sold = -0.012363528108146227 0.006334 seconds (22.98 k allocations: 2.057 MiB) 10 plaq_t = 0.14435441261950002 acceptance ratio 1.0 Nf = 1 ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 2.6226563721874356 α: [-5.960771208125207e-6, -2.365926748832181e-5, -7.312974957271435e-5, -0.00021647258378734637, -0.0006342614065525487, -0.0018530026882076763, -0.005410134459579222, -0.01580639454625644, -0.04630025630383474, -0.13658135694721724, -0.4103890831099445, -1.2939417075231405, -4.636609634886856, -23.781760392176484, -426.7735702750801] β: [6.511406585080085e-5, 0.0003827736362029256, 0.001267715019499123, 0.003583090268588116, 0.009587354346137916, 0.02513865988838697, 0.06541997845298224, 0.169826364132841, 0.4409229237078518, 1.1481048390885387, 3.015181840776192, 8.102022022873221, 23.168853584928378, 79.54719981908272, 550.2916347706022] the coefficients for x^{-1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 0.3812928032069815 α: [5.704553583093206e-5, 0.00015212625565764492, 0.000349624141431336, 0.0007978804843345692, 0.0018271691389798897, 0.004194095333537474, 0.009639799649923194, 0.022183627514153276, 0.05116785778935707, 0.11868662341141359, 0.2793062781945737, 0.6824916959670321, 1.8418776768771283, 6.536228531781246, 56.90662030012766] β: [4.652078712894077e-5, 0.0003218215104770888, 0.0011049316663925537, 0.003159705062233523, 0.00849036686736275, 0.02229761527729769, 0.05806003413186596, 0.15074220148748674, 0.39131776875161906, 1.018351818022971, 2.6701839814977193, 7.144670683970085, 20.193812967613667, 66.8802591890845, 393.15622001947446] ------------------------------------------------------------- ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 5.7165557622098175 α: [-1.1472527436322903e-5, -8.22437195900441e-5, -0.0004911917249478209, -0.0028595740550169564, -0.01657546771377983, -0.09632764566721617, -0.5684080282956644, -3.574637513226843, -29.402805614736042, -910.454747964212] β: [0.00017585352463504747, 0.0012116676043259563, 0.005511731061457466, 0.023034355065820862, 0.09439559579370578, 0.38561054626048247, 1.5842943313284588, 6.695935386170518, 32.015219356384215, 297.1675517580863] the coefficients for x^{-1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 0.17493050738884694 α: [0.000659835331355923, 0.0018359285824308825, 0.0051025759090143645, 0.014493338675151415, 0.04146036428067062, 0.1190535368426458, 0.3449286017982327, 1.0347965655277906, 3.585219290905995, 23.743072811520367] β: [8.614668677164346e-5, 0.0007996196969643771, 0.0038232149092825908, 0.01615861364506301, 0.06638822575850153, 0.2711990933978193, 1.1113834065181245, 4.644638810303384, 21.127906621091135, 145.57570030585526] ------------------------------------------------------------- Sfold = 16.500516184939492 + 0.0im Sfold = 19.282371850488808 Sfnew = 18.2794102903942 Sold = -36.29829808093289, Snew = -36.29843510540448 Snew - Sold = -0.00013702447159147368 1.818562 seconds (336.44 k allocations: 20.116 MiB, 99.16% compilation time) 1 plaq_t = 0.14217573277289888 acceptance ratio 1.0 Sfold = 21.197079480361428 Sfnew = 22.122906930492316 Sold = -45.29006988999254, Snew = -45.270641989279525 Snew - Sold = 0.019427900713012036 0.014156 seconds (44.30 k allocations: 4.444 MiB) 2 plaq_t = 0.14217573277289888 acceptance ratio 0.5 Sfold = 19.92305877188522 Sfnew = 19.661320792827304 Sold = -38.23182313577344, Snew = -38.227114858985566 Snew - Sold = 0.004708276787873444 0.015266 seconds (44.28 k allocations: 4.443 MiB) 3 plaq_t = 0.1449511538318632 acceptance ratio 0.6666666666666666 Sfold = 12.007622676686049 Sfnew = 13.674838111666379 Sold = -48.26990268917852, Snew = -48.266650591469784 Snew - Sold = 0.003252097708738688 0.014561 seconds (44.29 k allocations: 4.443 MiB) 4 plaq_t = 0.14709072171366905 acceptance ratio 0.75 Sfold = 19.534377345971592 Sfnew = 17.693248635088292 Sold = -38.23337291004161, Snew = -38.21703306338679 Snew - Sold = 0.016339846654815915 0.014884 seconds (44.26 k allocations: 4.441 MiB) 5 plaq_t = 0.14971383494539914 acceptance ratio 0.8 Sfold = 11.234857253289736 Sfnew = 11.449070504937955 Sold = -50.73936853354047, Snew = -50.76074004728145 Snew - Sold = -0.021371513740980674 0.014355 seconds (44.29 k allocations: 4.444 MiB) 6 plaq_t = 0.14252942326094079 acceptance ratio 0.8333333333333334 Sfold = 17.390664193889023 Sfnew = 17.019608583605553 Sold = -41.894311167264405, Snew = -41.87113149397205 Snew - Sold = 0.023179673292354153 0.014842 seconds (44.28 k allocations: 4.443 MiB) 7 plaq_t = 0.14982002968962302 acceptance ratio 0.8571428571428571 Sfold = 26.69239728840426 Sfnew = 26.19440780239252 Sold = -35.039578929181694, Snew = -35.03730372580656 Snew - Sold = 0.002275203375134538 0.014604 seconds (44.32 k allocations: 4.445 MiB) 8 plaq_t = 0.15370508833015298 acceptance ratio 0.875 Sfold = 14.591257284909924 Sfnew = 14.490695780394434 Sold = -47.293975602288235, Snew = -47.29484070307825 Snew - Sold = -0.0008651007900155605 0.014637 seconds (44.32 k allocations: 4.445 MiB) 9 plaq_t = 0.15278648954202603 acceptance ratio 0.8888888888888888 Sfold = 14.700313766303859 Sfnew = 16.75850156565394 Sold = -46.8551214334307, Snew = -46.8577288378376 Snew - Sold = -0.0026074044068948865 0.014418 seconds (44.35 k allocations: 4.448 MiB) 10 plaq_t = 0.15246087580631476 acceptance ratio 0.9 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" ------------------------- ---------------------------------------------- Nf = 4 Sfold = 37.762530095625245 + 0.0im Sfold = 37.28247218513583 Sfnew = 33.31238583333318 Sold = 0.46276502558037436, Snew = 0.4423886044069647 Snew - Sold = -0.020376421173409653 7.711168 seconds (2.54 M allocations: 137.061 MiB, 0.25% gc time, 99.88% compilation time) 1 plaq_t = 0.14265325508786134 acceptance ratio 1.0 Sfold = 32.72360079542676 Sfnew = 33.84445336084889 Sold = 15.007320355488048, Snew = 15.006515012220433 Snew - Sold = -0.0008053432676149441 0.009210 seconds (22.34 k allocations: 2.003 MiB) 2 plaq_t = 0.1375379653427331 acceptance ratio 1.0 Sfold = 33.999227918964124 Sfnew = 31.377886713387944 Sold = 14.058887735450035, Snew = 14.059241726079058 Snew - Sold = 0.00035399062902286005 0.010208 seconds (22.34 k allocations: 2.003 MiB) 3 plaq_t = 0.13317387853746554 acceptance ratio 1.0 Sfold = 27.42177707928809 Sfnew = 32.67093104060327 Sold = -3.054832102313739, Snew = -3.055392923211194 Snew - Sold = -0.0005608208974550166 0.009873 seconds (22.37 k allocations: 2.004 MiB) 4 plaq_t = 0.145168802485856 acceptance ratio 1.0 Sfold = 22.006621959328868 Sfnew = 25.493163380449026 Sold = 7.612389608509119, Snew = 7.604610867211882 Snew - Sold = -0.007778741297236991 0.009083 seconds (22.36 k allocations: 2.003 MiB) 5 plaq_t = 0.14097771173120693 acceptance ratio 1.0 Sfold = 38.9866574959051 Sfnew = 31.297650342353595 Sold = 13.482834003610328, Snew = 13.485208546696601 Snew - Sold = 0.002374543086272496 0.008508 seconds (22.39 k allocations: 2.006 MiB) 6 plaq_t = 0.13325815851889367 acceptance ratio 1.0 Sfold = 40.521792560819065 Sfnew = 36.148621696097784 Sold = 21.311065410936934, Snew = 21.325043549176478 Snew - Sold = 0.01397813823954408 0.009192 seconds (22.37 k allocations: 2.004 MiB) 7 plaq_t = 0.13695636174591444 acceptance ratio 1.0 Sfold = 41.4963488539119 Sfnew = 37.75704151174772 Sold = 17.347455410863603, Snew = 17.349375790551584 Snew - Sold = 0.0019203796879807555 0.008874 seconds (22.38 k allocations: 2.005 MiB) 8 plaq_t = 0.13127865952333406 acceptance ratio 1.0 Sfold = 28.758033471999592 Sfnew = 33.36174936253655 Sold = 17.068730371225353, Snew = 17.063784177088365 Snew - Sold = -0.004946194136987714 0.009565 seconds (22.33 k allocations: 2.001 MiB) 9 plaq_t = 0.13092674540942112 acceptance ratio 1.0 Sfold = 35.44457576574543 Sfnew = 39.091817459665684 Sold = 29.16522246587604, Snew = 29.164902067330182 Snew - Sold = -0.0003203985458597458 0.009373 seconds (22.31 k allocations: 2.000 MiB) 10 plaq_t = 0.13710167585986188 acceptance ratio 1.0 Nf = 2 Sfold = 17.311711115923345 + 0.0im Sfold = 15.102030891849713 Sfnew = 15.760553723410917 Sold = -17.40825360680209, Snew = -17.40982029877241 Snew - Sold = -0.0015666919703178905 0.465761 seconds (86.85 k allocations: 5.549 MiB, 97.83% compilation time) 1 plaq_t = 0.13378358887809952 acceptance ratio 1.0 Sfold = 17.61616594366633 Sfnew = 15.822065887364756 Sold = 6.7324107834785565, Snew = 6.722288183083775 Snew - Sold = -0.010122600394781855 0.010245 seconds (22.99 k allocations: 2.059 MiB) 2 plaq_t = 0.11845546510336924 acceptance ratio 1.0 Sfold = 13.330530333156819 Sfnew = 15.032753172691995 Sold = -16.21601112517791, Snew = -16.215785076403996 Snew - Sold = 0.00022604877391430023 0.009393 seconds (22.99 k allocations: 2.059 MiB) 3 plaq_t = 0.1331127050724837 acceptance ratio 1.0 Sfold = 11.308515443717749 Sfnew = 15.501415898725515 Sold = -4.953540697955095, Snew = -4.9549945981444985 Snew - Sold = -0.0014539001894036119 0.010180 seconds (22.99 k allocations: 2.058 MiB) 4 plaq_t = 0.13592954220501718 acceptance ratio 1.0 Sfold = 14.731106141500103 Sfnew = 16.892801484480007 Sold = -16.530354835203948, Snew = -16.529580657838903 Snew - Sold = 0.0007741773650451478 0.010086 seconds (22.96 k allocations: 2.056 MiB) 5 plaq_t = 0.1479646194858017 acceptance ratio 1.0 Sfold = 14.389809539946619 Sfnew = 13.965267422417092 Sold = -30.226986968558748, Snew = -30.223492084543082 Snew - Sold = 0.003494884015665889 0.010298 seconds (23.01 k allocations: 2.060 MiB) 6 plaq_t = 0.1509364193841729 acceptance ratio 1.0 Sfold = 21.605135418987157 Sfnew = 20.066251121446303 Sold = -4.540986944388042, Snew = -4.549129774580191 Snew - Sold = -0.00814283019214912 0.009464 seconds (22.94 k allocations: 2.055 MiB) 7 plaq_t = 0.1330599248480343 acceptance ratio 1.0 Sfold = 14.818292176183535 Sfnew = 15.415290260382186 Sold = -2.920417532394671, Snew = -2.9272360497239873 Snew - Sold = -0.006818517329316265 0.009335 seconds (22.97 k allocations: 2.057 MiB) 8 plaq_t = 0.12222681376467932 acceptance ratio 1.0 Sfold = 18.617637388236762 Sfnew = 22.216529996199498 Sold = 1.9272376061395597, Snew = 1.9246677170696458 Snew - Sold = -0.0025698890699139554 0.009544 seconds (22.95 k allocations: 2.055 MiB) 9 plaq_t = 0.12511891674629966 acceptance ratio 1.0 Sfold = 11.984333851538626 Sfnew = 13.984669564053942 Sold = -15.746266117958978, Snew = -15.743736552472395 Snew - Sold = 0.0025295654865828965 0.009822 seconds (22.98 k allocations: 2.058 MiB) 10 plaq_t = 0.1349622108572075 acceptance ratio 1.0 Nf = 1 ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 2.6226563721874356 α: [-5.960771208125207e-6, -2.365926748832181e-5, -7.312974957271435e-5, -0.00021647258378734637, -0.0006342614065525487, -0.0018530026882076763, -0.005410134459579222, -0.01580639454625644, -0.04630025630383474, -0.13658135694721724, -0.4103890831099445, -1.2939417075231405, -4.636609634886856, -23.781760392176484, -426.7735702750801] β: [6.511406585080085e-5, 0.0003827736362029256, 0.001267715019499123, 0.003583090268588116, 0.009587354346137916, 0.02513865988838697, 0.06541997845298224, 0.169826364132841, 0.4409229237078518, 1.1481048390885387, 3.015181840776192, 8.102022022873221, 23.168853584928378, 79.54719981908272, 550.2916347706022] the coefficients for x^{-1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 0.3812928032069815 α: [5.704553583093206e-5, 0.00015212625565764492, 0.000349624141431336, 0.0007978804843345692, 0.0018271691389798897, 0.004194095333537474, 0.009639799649923194, 0.022183627514153276, 0.05116785778935707, 0.11868662341141359, 0.2793062781945737, 0.6824916959670321, 1.8418776768771283, 6.536228531781246, 56.90662030012766] β: [4.652078712894077e-5, 0.0003218215104770888, 0.0011049316663925537, 0.003159705062233523, 0.00849036686736275, 0.02229761527729769, 0.05806003413186596, 0.15074220148748674, 0.39131776875161906, 1.018351818022971, 2.6701839814977193, 7.144670683970085, 20.193812967613667, 66.8802591890845, 393.15622001947446] ------------------------------------------------------------- ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 5.7165557622098175 α: [-1.1472527436322903e-5, -8.22437195900441e-5, -0.0004911917249478209, -0.0028595740550169564, -0.01657546771377983, -0.09632764566721617, -0.5684080282956644, -3.574637513226843, -29.402805614736042, -910.454747964212] β: [0.00017585352463504747, 0.0012116676043259563, 0.005511731061457466, 0.023034355065820862, 0.09439559579370578, 0.38561054626048247, 1.5842943313284588, 6.695935386170518, 32.015219356384215, 297.1675517580863] the coefficients for x^{-1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 0.17493050738884694 α: [0.000659835331355923, 0.0018359285824308825, 0.0051025759090143645, 0.014493338675151415, 0.04146036428067062, 0.1190535368426458, 0.3449286017982327, 1.0347965655277906, 3.585219290905995, 23.743072811520367] β: [8.614668677164346e-5, 0.0007996196969643771, 0.0038232149092825908, 0.01615861364506301, 0.06638822575850153, 0.2711990933978193, 1.1113834065181245, 4.644638810303384, 21.127906621091135, 145.57570030585526] ------------------------------------------------------------- Sfold = 34.317130434449865 + 0.0im Sfold = 30.908120342465093 Sfnew = 31.99835587352938 Sold = 14.04073170232142, Snew = 14.03114533713693 Snew - Sold = -0.00958636518448941 1.501718 seconds (283.98 k allocations: 17.926 MiB, 98.38% compilation time) 1 plaq_t = 0.10941737682662958 acceptance ratio 1.0 Sfold = 23.09810201960992 Sfnew = 23.058830485442854 Sold = 2.962819242481853, Snew = 2.9639583608935 Snew - Sold = 0.0011391184116469333 0.024727 seconds (44.23 k allocations: 4.909 MiB) 2 plaq_t = 0.12533449070680147 acceptance ratio 1.0 Sfold = 26.243326295067458 Sfnew = 26.888282350664134 Sold = 15.33363784398031, Snew = 15.340457181106878 Snew - Sold = 0.00681933712656857 0.023681 seconds (44.24 k allocations: 4.910 MiB) 3 plaq_t = 0.1300883809670348 acceptance ratio 1.0 Sfold = 39.14635082370754 Sfnew = 40.61870698150597 Sold = 20.98394220646756, Snew = 20.97651992634612 Snew - Sold = -0.007422280121438973 0.024644 seconds (44.24 k allocations: 4.910 MiB) 4 plaq_t = 0.12320005113596502 acceptance ratio 1.0 Sfold = 27.547983991688298 Sfnew = 27.08312862577584 Sold = 7.4545273509815075, Snew = 7.464810443526513 Snew - Sold = 0.010283092545005701 0.025762 seconds (44.26 k allocations: 4.911 MiB) 5 plaq_t = 0.1418893170532721 acceptance ratio 1.0 Sfold = 23.823000222242428 Sfnew = 23.38071980280705 Sold = -0.004208246003983618, Snew = -0.00485296342104391 Snew - Sold = -0.0006447174170602921 0.025691 seconds (44.26 k allocations: 4.910 MiB) 6 plaq_t = 0.1395709006396627 acceptance ratio 1.0 Sfold = 25.59771229204219 Sfnew = 24.80986101721651 Sold = 1.4690533331428384, Snew = 1.468006810102299 Snew - Sold = -0.0010465230405394266 0.024446 seconds (44.23 k allocations: 4.908 MiB) 7 plaq_t = 0.12968245806340378 acceptance ratio 1.0 Sfold = 40.15230532972017 Sfnew = 42.42656923339072 Sold = 27.735530012780707, Snew = 27.73029537567573 Snew - Sold = -0.005234637104976514 0.025146 seconds (44.19 k allocations: 4.906 MiB) 8 plaq_t = 0.12478489556774466 acceptance ratio 1.0 Sfold = 33.06773849103644 Sfnew = 33.48107326240757 Sold = 27.733554937716633, Snew = 27.733395646072232 Snew - Sold = -0.0001592916444010939 0.024765 seconds (44.18 k allocations: 4.905 MiB) 9 plaq_t = 0.12406959511150163 acceptance ratio 1.0 Sfold = 29.448976203449543 Sfnew = 29.447688266444498 Sold = 21.004320795646382, Snew = 21.00138611425628 Snew - Sold = -0.0029346813901014457 0.024622 seconds (44.18 k allocations: 4.905 MiB) 10 plaq_t = 0.12060204024709893 acceptance ratio 1.0 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ┌ Warning: Now, Nwing=0 is recommended. Please use NDW = 0 like Initialize_Gaugefields(NC,0,NX,NY,NZ,NT). └ @ Gaugefields.AbstractGaugefields_module ~/.julia/packages/Gaugefields/pKF8d/src/AbstractGaugefields.jl:682 ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" ------------------------- ---------------------------------------------- Nf = 4 Sfold = 58.29634775510924 + 0.0im Sfold = 62.18617260792237 Sfnew = 46.98983797671498 Sold = 113.84638042901761, Snew = 113.80715040156998 Snew - Sold = -0.03923002744762982 14.862506 seconds (4.48 M allocations: 237.181 MiB, 0.47% gc time, 99.81% compilation time) 1 plaq_t = 0.09335217789753332 acceptance ratio 1.0 Sfold = 40.004569282926276 Sfnew = 42.820640014396645 Sold = 118.6636817812909, Snew = 118.66541801576886 Snew - Sold = 0.001736234477959897 0.024270 seconds (53.23 k allocations: 4.741 MiB) 2 plaq_t = 0.09112822367961317 acceptance ratio 1.0 Sfold = 46.50125287802424 Sfnew = 43.9499457676474 Sold = 107.84962876288863, Snew = 107.84708352907964 Snew - Sold = -0.0025452338089877458 0.024482 seconds (53.19 k allocations: 4.737 MiB) 3 plaq_t = 0.0917048799680061 acceptance ratio 1.0 Sfold = 36.56324635939678 Sfnew = 43.07250966671164 Sold = 111.77585465408282, Snew = 111.76932313697547 Snew - Sold = -0.006531517107347895 0.023936 seconds (53.15 k allocations: 4.733 MiB) 4 plaq_t = 0.09181983135079193 acceptance ratio 1.0 Sfold = 43.23875939705736 Sfnew = 37.189913641311165 Sold = 119.67253881537522, Snew = 119.7046896404486 Snew - Sold = 0.03215082507338707 0.024125 seconds (53.12 k allocations: 4.731 MiB) 5 plaq_t = 0.09170831675162902 acceptance ratio 1.0 Sfold = 56.045643027081546 Sfnew = 50.932378907284786 Sold = 163.53316351299034, Snew = 163.53464798837263 Snew - Sold = 0.001484475382284245 0.023950 seconds (53.13 k allocations: 4.732 MiB) 6 plaq_t = 0.07774974788672459 acceptance ratio 1.0 Sfold = 48.868080247759465 Sfnew = 51.75154129491281 Sold = 137.8114234406209, Snew = 137.7680400931209 Snew - Sold = -0.04338334749999717 0.023868 seconds (53.17 k allocations: 4.735 MiB) 7 plaq_t = 0.06327416920521772 acceptance ratio 1.0 Sfold = 53.85700966752037 Sfnew = 60.500009526891766 Sold = 134.8457344933256, Snew = 134.81599560107992 Snew - Sold = -0.02973889224568893 0.023873 seconds (53.15 k allocations: 4.735 MiB) 8 plaq_t = 0.08919629417307581 acceptance ratio 1.0 Sfold = 51.99718520323058 Sfnew = 46.95739580111485 Sold = 149.4364749871251, Snew = 149.4656173505899 Snew - Sold = 0.029142363464785603 0.025140 seconds (53.18 k allocations: 4.736 MiB) 9 plaq_t = 0.103164103841898 acceptance ratio 1.0 Sfold = 38.906500335905086 Sfnew = 39.44706281551283 Sold = 128.8534581931418, Snew = 128.83564210210304 Snew - Sold = -0.017816091038753257 0.041160 seconds (53.20 k allocations: 4.738 MiB, 39.01% gc time) 10 plaq_t = 0.08685720087434066 acceptance ratio 1.0 Nf = 2 Sfold = 17.10819757784796 + 0.0im Sfold = 24.81617434482227 Sfnew = 21.873311695797856 Sold = 143.59600469704142, Snew = 143.57688262166417 Snew - Sold = -0.019122075377254077 0.489845 seconds (118.66 k allocations: 8.368 MiB, 94.84% compilation time) 1 plaq_t = 0.06840317881177951 acceptance ratio 1.0 Sfold = 27.207706453237698 Sfnew = 24.329719661861713 Sold = 103.17782286956475, Snew = 103.1922778919323 Snew - Sold = 0.01445502236755658 0.024465 seconds (54.74 k allocations: 4.873 MiB) 2 plaq_t = 0.0917878263050196 acceptance ratio 1.0 Sfold = 32.51924830152203 Sfnew = 32.012553965056064 Sold = 97.34757282226809, Snew = 97.31375095565977 Snew - Sold = -0.03382186660832076 0.024437 seconds (54.79 k allocations: 4.878 MiB) 3 plaq_t = 0.08176779754320154 acceptance ratio 1.0 Sfold = 25.888638794399345 Sfnew = 29.302740132588536 Sold = 116.54951545120231, Snew = 116.54856323565883 Snew - Sold = -0.0009522155434780188 0.024967 seconds (55.74 k allocations: 4.963 MiB) 4 plaq_t = 0.059423880833592964 acceptance ratio 1.0 Sfold = 17.016013326591224 Sfnew = 25.72314834865208 Sold = 124.1651964644134, Snew = 124.10410467952681 Snew - Sold = -0.06109178488658529 0.024807 seconds (55.83 k allocations: 4.971 MiB) 5 plaq_t = 0.07131243919069553 acceptance ratio 1.0 Sfold = 28.117143865161314 Sfnew = 25.014731339373085 Sold = 106.80364180443269, Snew = 106.80303309683136 Snew - Sold = -0.0006087076013301385 0.031510 seconds (54.87 k allocations: 4.885 MiB) 6 plaq_t = 0.07764979495366901 acceptance ratio 1.0 Sfold = 31.517061522618192 Sfnew = 23.502752145571684 Sold = 137.82913579731024, Snew = 137.92858153416 Snew - Sold = 0.09944573684975921 0.025445 seconds (54.89 k allocations: 4.887 MiB) 7 plaq_t = 0.06503281587283212 acceptance ratio 1.0 Sfold = 25.60318985189908 Sfnew = 29.331070553409525 Sold = 124.47050864057582, Snew = 124.46377982543751 Snew - Sold = -0.00672881513830248 0.026842 seconds (56.36 k allocations: 5.018 MiB) 8 plaq_t = 0.0692961754721005 acceptance ratio 1.0 Sfold = 21.983806248620677 Sfnew = 25.141498026505264 Sold = 126.3988035906153, Snew = 126.38025776985678 Snew - Sold = -0.018545820758518516 0.042010 seconds (54.93 k allocations: 4.892 MiB, 30.36% gc time) 9 plaq_t = 0.07019108324227742 acceptance ratio 1.0 Sfold = 19.699696253239704 Sfnew = 19.575289595733146 Sold = 120.4159540928219, Snew = 120.4216928119641 Snew - Sold = 0.005738719142200921 0.030320 seconds (55.29 k allocations: 4.922 MiB) 10 plaq_t = 0.06684542872980678 acceptance ratio 1.0 Nf = 1 ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 2.6226563721874356 α: [-5.960771208125207e-6, -2.365926748832181e-5, -7.312974957271435e-5, -0.00021647258378734637, -0.0006342614065525487, -0.0018530026882076763, -0.005410134459579222, -0.01580639454625644, -0.04630025630383474, -0.13658135694721724, -0.4103890831099445, -1.2939417075231405, -4.636609634886856, -23.781760392176484, -426.7735702750801] β: [6.511406585080085e-5, 0.0003827736362029256, 0.001267715019499123, 0.003583090268588116, 0.009587354346137916, 0.02513865988838697, 0.06541997845298224, 0.169826364132841, 0.4409229237078518, 1.1481048390885387, 3.015181840776192, 8.102022022873221, 23.168853584928378, 79.54719981908272, 550.2916347706022] the coefficients for x^{-1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 0.3812928032069815 α: [5.704553583093206e-5, 0.00015212625565764492, 0.000349624141431336, 0.0007978804843345692, 0.0018271691389798897, 0.004194095333537474, 0.009639799649923194, 0.022183627514153276, 0.05116785778935707, 0.11868662341141359, 0.2793062781945737, 0.6824916959670321, 1.8418776768771283, 6.536228531781246, 56.90662030012766] β: [4.652078712894077e-5, 0.0003218215104770888, 0.0011049316663925537, 0.003159705062233523, 0.00849036686736275, 0.02229761527729769, 0.05806003413186596, 0.15074220148748674, 0.39131776875161906, 1.018351818022971, 2.6701839814977193, 7.144670683970085, 20.193812967613667, 66.8802591890845, 393.15622001947446] ------------------------------------------------------------- ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 5.7165557622098175 α: [-1.1472527436322903e-5, -8.22437195900441e-5, -0.0004911917249478209, -0.0028595740550169564, -0.01657546771377983, -0.09632764566721617, -0.5684080282956644, -3.574637513226843, -29.402805614736042, -910.454747964212] β: [0.00017585352463504747, 0.0012116676043259563, 0.005511731061457466, 0.023034355065820862, 0.09439559579370578, 0.38561054626048247, 1.5842943313284588, 6.695935386170518, 32.015219356384215, 297.1675517580863] the coefficients for x^{-1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 0.17493050738884694 α: [0.000659835331355923, 0.0018359285824308825, 0.0051025759090143645, 0.014493338675151415, 0.04146036428067062, 0.1190535368426458, 0.3449286017982327, 1.0347965655277906, 3.585219290905995, 23.743072811520367] β: [8.614668677164346e-5, 0.0007996196969643771, 0.0038232149092825908, 0.01615861364506301, 0.06638822575850153, 0.2711990933978193, 1.1113834065181245, 4.644638810303384, 21.127906621091135, 145.57570030585526] ------------------------------------------------------------- Sfold = 36.741149676372636 + 0.0im Sfold = 48.5332913902801 Sfnew = 49.25019390284509 Sold = 144.9141688936205, Snew = 144.91717737791186 Snew - Sold = 0.0030084842913424836 1.673328 seconds (322.16 k allocations: 21.729 MiB, 95.47% compilation time) 1 plaq_t = 0.0768898167118135 acceptance ratio 1.0 Sfold = 44.6112063910622 Sfnew = 47.543717240164206 Sold = 123.79900273959713, Snew = 123.80325271097561 Snew - Sold = 0.004249971378484929 0.074141 seconds (81.06 k allocations: 8.590 MiB) 2 plaq_t = 0.09484612466901672 acceptance ratio 1.0 Sfold = 43.179108013870625 Sfnew = 44.555094055748135 Sold = 120.84499524163317, Snew = 120.83978920798523 Snew - Sold = -0.005206033647937147 0.070861 seconds (81.70 k allocations: 8.647 MiB) 3 plaq_t = 0.06641455440879822 acceptance ratio 1.0 Sfold = 42.76021472699242 Sfnew = 44.47028875274376 Sold = 124.13881388246935, Snew = 124.1415599192519 Snew - Sold = 0.002746036782554029 0.083738 seconds (81.95 k allocations: 8.669 MiB, 18.20% gc time) 4 plaq_t = 0.0846324878744658 acceptance ratio 1.0 Sfold = 46.50775294489804 Sfnew = 43.694506889514834 Sold = 129.76898467277817, Snew = 129.77192164286345 Snew - Sold = 0.0029369700852726055 0.070550 seconds (81.06 k allocations: 8.590 MiB) 5 plaq_t = 0.07720405040334372 acceptance ratio 1.0 Sfold = 65.16102622744054 Sfnew = 66.24390641266658 Sold = 161.26422628983937, Snew = 161.2635189934401 Snew - Sold = -0.0007072963992698078 0.071163 seconds (81.86 k allocations: 8.661 MiB) 6 plaq_t = 0.06329611411958383 acceptance ratio 1.0 Sfold = 50.404365386628236 Sfnew = 50.298583007949595 Sold = 164.59539803051427, Snew = 164.59882025379918 Snew - Sold = 0.003422223284900383 0.069696 seconds (80.79 k allocations: 8.566 MiB) 7 plaq_t = 0.0796097297053084 acceptance ratio 1.0 Sfold = 53.69366587258538 Sfnew = 55.959248690709984 Sold = 132.34795381388923, Snew = 132.3368333285927 Snew - Sold = -0.011120485296544302 0.064065 seconds (80.52 k allocations: 8.543 MiB) 8 plaq_t = 0.06934189773842485 acceptance ratio 1.0 Sfold = 38.90743327821041 Sfnew = 42.136494347001204 Sold = 110.17272366618235, Snew = 110.17354836098717 Snew - Sold = 0.0008246948048196145 0.065557 seconds (80.93 k allocations: 8.579 MiB) 9 plaq_t = 0.09246943139824901 acceptance ratio 1.0 Sfold = 34.15420744316173 Sfnew = 35.15398609211243 Sold = 123.07435773291519, Snew = 123.06329072890836 Snew - Sold = -0.011067004006832803 0.081069 seconds (80.34 k allocations: 8.527 MiB, 16.15% gc time) 10 plaq_t = 0.07501826215529514 acceptance ratio 1.0 4D HMC ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{1}(n)U_{3}(n+e_{1})U^{\dagger}_{1}(n+e_{3})U^{\dagger}_{3}(n)$" 3-rd loop L"$U_{1}(n)U_{4}(n+e_{1})U^{\dagger}_{1}(n+e_{4})U^{\dagger}_{4}(n)$" 4-th loop L"$U_{2}(n)U_{3}(n+e_{2})U^{\dagger}_{2}(n+e_{3})U^{\dagger}_{3}(n)$" 5-th loop L"$U_{2}(n)U_{4}(n+e_{2})U^{\dagger}_{2}(n+e_{4})U^{\dagger}_{4}(n)$" 6-th loop L"$U_{3}(n)U_{4}(n+e_{3})U^{\dagger}_{3}(n+e_{4})U^{\dagger}_{4}(n)$" 7-th loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" 8-th loop L"$U_{3}(n)U_{1}(n+e_{3})U^{\dagger}_{3}(n+e_{1})U^{\dagger}_{1}(n)$" 9-th loop L"$U_{4}(n)U_{1}(n+e_{4})U^{\dagger}_{4}(n+e_{1})U^{\dagger}_{1}(n)$" 10-th loop L"$U_{3}(n)U_{2}(n+e_{3})U^{\dagger}_{3}(n+e_{2})U^{\dagger}_{2}(n)$" 11-th loop L"$U_{4}(n)U_{2}(n+e_{4})U^{\dagger}_{4}(n+e_{2})U^{\dagger}_{2}(n)$" 12-th loop L"$U_{4}(n)U_{3}(n+e_{4})U^{\dagger}_{4}(n+e_{3})U^{\dagger}_{3}(n)$" ------------------------- ---------------------------------------------- Nf = 8 Sfold = 745.18406393126 + 0.0im Sfold = 750.2737160487449 Sfnew = 530.788370049508 Sold = -3574.7574554686043, Snew = -3577.125602737729 Snew - Sold = -2.36814726912462 24.218808 seconds (4.89 M allocations: 261.503 MiB, 0.56% gc time, 87.95% compilation time) 1 plaq_t = 0.7927981327100079 acceptance ratio 1.0 Sfold = 779.9828937711943 Sfnew = 651.5776780153863 Sold = -1850.205069978568, Snew = -1851.1004672448792 Snew - Sold = -0.8953972663111927 4.171223 seconds (345.55 k allocations: 33.557 MiB, 2.85% gc time) 2 plaq_t = 0.7006022663375476 acceptance ratio 1.0 Sfold = 750.299492715572 Sfnew = 700.4118231279957 Sold = -1114.626313368593, Snew = -1115.0499246484887 Snew - Sold = -0.4236112798957947 3.915729 seconds (378.21 k allocations: 36.699 MiB) 3 plaq_t = 0.6479072914338144 acceptance ratio 1.0 Sfold = 771.3609185782395 Sfnew = 717.9859317696379 Sold = -560.4433375071496, Snew = -560.4655908013373 Snew - Sold = -0.02225329418763522 5.078231 seconds (387.32 k allocations: 37.575 MiB, 7.86% gc time) 4 plaq_t = 0.6247277641156391 acceptance ratio 1.0 Sfold = 778.2338069014376 Sfnew = 785.4912086970234 Sold = -379.53844461092115, Snew = -379.721648863435 Snew - Sold = -0.1832042525138604 5.992652 seconds (429.67 k allocations: 41.655 MiB) 5 plaq_t = 0.6062371290165947 acceptance ratio 1.0 Sfold = 740.7683117473277 Sfnew = 759.8854444026681 Sold = -225.66376888307445, Snew = -225.76519460060376 Snew - Sold = -0.10142571752930962 5.684202 seconds (441.85 k allocations: 42.829 MiB, 0.17% gc time) 6 plaq_t = 0.6027501799885107 acceptance ratio 1.0 Sfold = 785.5631577488838 Sfnew = 780.2564355736044 Sold = -300.4674862391031, Snew = -300.5371605442497 Snew - Sold = -0.06967430514657735 5.560756 seconds (408.19 k allocations: 39.586 MiB, 0.17% gc time) 7 plaq_t = 0.6025896020411662 acceptance ratio 1.0 Sfold = 778.8066906668162 Sfnew = 770.1372761693657 Sold = -276.2417634787737, Snew = -276.1409242940234 Snew - Sold = 0.10083918475027076 4.950923 seconds (386.79 k allocations: 37.525 MiB, 0.07% gc time) 8 plaq_t = 0.6108362487847844 acceptance ratio 1.0 Sfold = 797.3438950087551 Sfnew = 753.8347443979445 Sold = -408.70300231810336, Snew = -408.6631614730669 Snew - Sold = 0.039840845036451356 4.528656 seconds (377.49 k allocations: 36.629 MiB) 9 plaq_t = 0.6068698843794156 acceptance ratio 1.0 Sfold = 754.4227165575929 Sfnew = 736.0218525091616 Sold = -264.76564046059605, Snew = -264.78475586780655 Snew - Sold = -0.01911540721050642 5.246687 seconds (379.08 k allocations: 36.782 MiB, 0.36% gc time) 10 plaq_t = 0.6015805521715873 acceptance ratio 1.0 Nf = 4 Sfold = 388.4308775067121 + 0.0im Sfold = 382.54106191208314 Sfnew = 377.33284692994704 Sold = -608.4140736778298, Snew = -608.504167743961 Snew - Sold = -0.09009406613120063 6.107563 seconds (497.90 k allocations: 45.287 MiB, 0.41% gc time, 7.59% compilation time) 1 plaq_t = 0.5847607632776926 acceptance ratio 1.0 Sfold = 401.88278525292367 Sfnew = 373.2300007885192 Sold = -562.3640989312528, Snew = -562.1784632792946 Snew - Sold = 0.1856356519581368 5.485838 seconds (445.47 k allocations: 43.175 MiB, 0.19% gc time) 2 plaq_t = 0.5933788540972081 acceptance ratio 1.0 Sfold = 353.0614456542189 Sfnew = 364.41577846189153 Sold = -459.6290340380501, Snew = -459.6522379888697 Snew - Sold = -0.023203950819549846 5.271615 seconds (439.87 k allocations: 42.635 MiB, 0.13% gc time) 3 plaq_t = 0.5825653149811921 acceptance ratio 1.0 Sfold = 391.2779037560385 Sfnew = 423.23534564384454 Sold = -445.7491996171744, Snew = -445.77747092032087 Snew - Sold = -0.028271303146482296 5.323285 seconds (456.53 k allocations: 44.240 MiB, 0.06% gc time) 4 plaq_t = 0.5858486010537322 acceptance ratio 1.0 Sfold = 386.3912979966254 Sfnew = 365.9362423646513 Sold = -653.7833810309485, Snew = -653.6290213984297 Snew - Sold = 0.15435963251877638 6.112414 seconds (424.91 k allocations: 41.194 MiB, 0.11% gc time) 5 plaq_t = 0.5945311492720212 acceptance ratio 1.0 Sfold = 386.66951789803966 Sfnew = 386.0318263441197 Sold = -529.1759600122216, Snew = -529.3392101344559 Snew - Sold = -0.16325012223433077 6.026303 seconds (419.30 k allocations: 40.654 MiB, 0.06% gc time) 6 plaq_t = 0.5786105884545795 acceptance ratio 1.0 Sfold = 383.2169783425412 Sfnew = 385.67440694930394 Sold = -437.46651896824403, Snew = -437.469392338999 Snew - Sold = -0.0028733707549690735 5.558151 seconds (443.06 k allocations: 42.943 MiB, 0.12% gc time) 7 plaq_t = 0.5781721264386956 acceptance ratio 1.0 Sfold = 407.48634005261323 Sfnew = 397.5847025047194 Sold = -391.97836581721964, Snew = -392.0067589832695 Snew - Sold = -0.028393166049852425 6.181256 seconds (473.83 k allocations: 45.907 MiB, 0.05% gc time) 8 plaq_t = 0.5732273459055992 acceptance ratio 1.0 Sfold = 383.7777957881 Sfnew = 389.21420442730783 Sold = -293.7103736854641, Snew = -293.7322809043407 Snew - Sold = -0.021907218876606294 5.771723 seconds (489.19 k allocations: 47.386 MiB, 0.20% gc time) 9 plaq_t = 0.5742683432027014 acceptance ratio 1.0 Sfold = 403.43883683310247 Sfnew = 367.8663193043479 Sold = -314.06141784163304, Snew = -314.09394507370115 Snew - Sold = -0.03252723206810515 5.628779 seconds (507.59 k allocations: 49.158 MiB, 0.12% gc time) 10 plaq_t = 0.5629176850378262 acceptance ratio 1.0 Nf = 2 ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 2.6226563721874356 α: [-5.960771208125207e-6, -2.365926748832181e-5, -7.312974957271435e-5, -0.00021647258378734637, -0.0006342614065525487, -0.0018530026882076763, -0.005410134459579222, -0.01580639454625644, -0.04630025630383474, -0.13658135694721724, -0.4103890831099445, -1.2939417075231405, -4.636609634886856, -23.781760392176484, -426.7735702750801] β: [6.511406585080085e-5, 0.0003827736362029256, 0.001267715019499123, 0.003583090268588116, 0.009587354346137916, 0.02513865988838697, 0.06541997845298224, 0.169826364132841, 0.4409229237078518, 1.1481048390885387, 3.015181840776192, 8.102022022873221, 23.168853584928378, 79.54719981908272, 550.2916347706022] the coefficients for x^{-1/8}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 15 α0: 0.3812928032069815 α: [5.704553583093206e-5, 0.00015212625565764492, 0.000349624141431336, 0.0007978804843345692, 0.0018271691389798897, 0.004194095333537474, 0.009639799649923194, 0.022183627514153276, 0.05116785778935707, 0.11868662341141359, 0.2793062781945737, 0.6824916959670321, 1.8418776768771283, 6.536228531781246, 56.90662030012766] β: [4.652078712894077e-5, 0.0003218215104770888, 0.0011049316663925537, 0.003159705062233523, 0.00849036686736275, 0.02229761527729769, 0.05806003413186596, 0.15074220148748674, 0.39131776875161906, 1.018351818022971, 2.6701839814977193, 7.144670683970085, 20.193812967613667, 66.8802591890845, 393.15622001947446] ------------------------------------------------------------- ------------------------------------------------------------- RHMC mode! the coefficients for x^{1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 5.7165557622098175 α: [-1.1472527436322903e-5, -8.22437195900441e-5, -0.0004911917249478209, -0.0028595740550169564, -0.01657546771377983, -0.09632764566721617, -0.5684080282956644, -3.574637513226843, -29.402805614736042, -910.454747964212] β: [0.00017585352463504747, 0.0012116676043259563, 0.005511731061457466, 0.023034355065820862, 0.09439559579370578, 0.38561054626048247, 1.5842943313284588, 6.695935386170518, 32.015219356384215, 297.1675517580863] the coefficients for x^{-1/4}: f(x) = α0 + sum_i^n α[i]/(x + β[i]) The order: 10 α0: 0.17493050738884694 α: [0.000659835331355923, 0.0018359285824308825, 0.0051025759090143645, 0.014493338675151415, 0.04146036428067062, 0.1190535368426458, 0.3449286017982327, 1.0347965655277906, 3.585219290905995, 23.743072811520367] β: [8.614668677164346e-5, 0.0007996196969643771, 0.0038232149092825908, 0.01615861364506301, 0.06638822575850153, 0.2711990933978193, 1.1113834065181245, 4.644638810303384, 21.127906621091135, 145.57570030585526] ------------------------------------------------------------- Sfold = 733.8141329044926 + 0.0im Sfold = 777.7361024870407 Sfnew = 776.4078514704441 Sold = 208.59819773920583, Snew = 208.63213348150828 Snew - Sold = 0.03393574230244667 10.063980 seconds (904.06 k allocations: 93.722 MiB, 0.47% gc time, 17.64% compilation time) 1 plaq_t = 0.5614041574508126 acceptance ratio 1.0 Sfold = 711.4423484525256 Sfnew = 725.7238554782825 Sold = 101.48983681862376, Snew = 101.49078776888564 Snew - Sold = 0.0009509502618811894 7.493229 seconds (621.17 k allocations: 77.966 MiB, 0.31% gc time) 2 plaq_t = 0.5687333056659227 acceptance ratio 1.0 Sfold = 779.104544799796 Sfnew = 773.4059895224652 Sold = 9.786998231424832, Snew = 9.801679847228343 Snew - Sold = 0.014681615803510795 6.956314 seconds (596.82 k allocations: 75.633 MiB, 0.08% gc time) 3 plaq_t = 0.5731462774960743 acceptance ratio 1.0 Sfold = 778.8286628363264 Sfnew = 768.3542016563806 Sold = -26.58904582755008, Snew = -26.604613179668377 Snew - Sold = -0.015567352118296185 7.874475 seconds (589.97 k allocations: 74.973 MiB, 0.11% gc time) 4 plaq_t = 0.5700518372833336 acceptance ratio 1.0 Sfold = 796.6215032436813 Sfnew = 797.0122297370009 Sold = 73.57663094082056, Snew = 73.57709378782067 Snew - Sold = 0.00046284700010801316 8.409201 seconds (584.56 k allocations: 74.455 MiB, 0.11% gc time) 5 plaq_t = 0.564797602913551 acceptance ratio 1.0 Sfold = 786.4390791084778 Sfnew = 782.865409790645 Sold = 156.15225238796654, Snew = 156.15396762172384 Snew - Sold = 0.0017152337572952092 8.780882 seconds (606.60 k allocations: 76.569 MiB, 0.13% gc time) 6 plaq_t = 0.5581585880914784 acceptance ratio 1.0 Sfold = 787.8349020700113 Sfnew = 800.4002576075774 Sold = 100.03215975667774, Snew = 100.11109265789275 Snew - Sold = 0.07893290121501195 9.371585 seconds (641.35 k allocations: 79.899 MiB, 0.10% gc time) 7 plaq_t = 0.5628868320597654 acceptance ratio 1.0 Sfold = 779.604587467397 Sfnew = 777.8090270750569 Sold = 99.66221215389999, Snew = 99.66555591547069 Snew - Sold = 0.0033437615707043733 8.937909 seconds (650.73 k allocations: 80.799 MiB, 0.12% gc time) 8 plaq_t = 0.5533559917440105 acceptance ratio 1.0 Sfold = 820.5193270309444 Sfnew = 825.0724294787858 Sold = 161.94780240029763, Snew = 161.91269763531523 Snew - Sold = -0.03510476498240678 10.049042 seconds (656.61 k allocations: 81.362 MiB, 0.21% gc time) 9 plaq_t = 0.5614402690090846 acceptance ratio 1.0 Sfold = 778.66883923878 Sfnew = 796.7924185043576 Sold = 211.49331033752105, Snew = 211.434355459141 Snew - Sold = -0.05895487838006375 9.111676 seconds (660.80 k allocations: 81.763 MiB, 0.11% gc time) 10 plaq_t = 0.5488863383888265 acceptance ratio 1.0 Wilson HMC WARNING: Method definition MDtest!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:4 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:9. WARNING: Method definition calc_action(Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:27 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:37. WARNING: Method definition MDstep!(Any, Any, Any, Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:36 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:46. WARNING: Method definition U_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:77 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:106. WARNING: Method definition P_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:92 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:121. WARNING: Method definition P_update_fermion!(Any, Any, Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:105 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:134. WARNING: Method definition test1_2D() in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/hmc.jl:161 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/XdJyC/test/wilsonhmc.jl:194. 2D HMC ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" ------------------------- ---------------------------------------------- Sfold = 107.09540080887582 Sold = 160.89677911867392 Sfnew = 103.36095423745243 Sold = 160.89677911867392, Snew = 160.57269933222705 Snew - Sold = -0.3240797864468732 17.723326 seconds (2.95 M allocations: 152.340 MiB, 0.28% gc time, 99.91% compilation time) 1 plaq_t = 0.24943918790497283 acceptance ratio 1.0 Sfold = 111.91697443059404 Sold = 180.43708987166025 Sfnew = 108.58604359386078 Sold = 180.43708987166025, Snew = 180.43283408142156 Snew - Sold = -0.004255790238687496 0.017093 seconds (5.62 k allocations: 438.734 KiB) 2 plaq_t = 0.22975341043250846 acceptance ratio 1.0 Sfold = 83.30006826489723 Sold = 178.13028378168826 Sfnew = 81.62579878650499 Sold = 178.13028378168826, Snew = 178.15336918549795 Snew - Sold = 0.023085403809687932 0.017208 seconds (5.64 k allocations: 440.141 KiB) 3 plaq_t = 0.2352724676570766 acceptance ratio 1.0 Sfold = 78.63210870279464 Sold = 171.6122377548332 Sfnew = 79.11307122444494 Sold = 171.6122377548332, Snew = 171.61358635387404 Snew - Sold = 0.001348599040852605 0.017507 seconds (5.74 k allocations: 447.500 KiB) 4 plaq_t = 0.2351469955655649 acceptance ratio 1.0 Sfold = 103.9837193051825 Sold = 178.08557782608796 Sfnew = 102.69081154676066 Sold = 178.08557782608796, Snew = 178.0989055918697 Snew - Sold = 0.013327765781752987 0.016539 seconds (5.63 k allocations: 439.688 KiB) 5 plaq_t = 0.24161034527021874 acceptance ratio 1.0 Sfold = 86.14553169723435 Sold = 189.54267518144223 Sfnew = 88.95208242974616 Sold = 189.54267518144223, Snew = 189.50847300633043 Snew - Sold = -0.034202175111801125 0.017296 seconds (5.81 k allocations: 452.219 KiB) 6 plaq_t = 0.246590850262229 acceptance ratio 1.0 Sfold = 107.20024731925146 Sold = 195.3985627465491 Sfnew = 108.10474908862015 Sold = 195.3985627465491, Snew = 195.43529330027013 Snew - Sold = 0.036730553721042725 0.017218 seconds (5.70 k allocations: 444.656 KiB) 7 plaq_t = 0.23773765111335093 acceptance ratio 1.0 Sfold = 90.58505902394725 Sold = 169.85213588989365 Sfnew = 82.92028758926816 Sold = 169.85213588989365, Snew = 169.8739559908839 Snew - Sold = 0.021820100990254332 0.016818 seconds (5.55 k allocations: 433.844 KiB) 8 plaq_t = 0.255407853186968 acceptance ratio 1.0 Sfold = 100.13894152530283 Sold = 181.48069248217257 Sfnew = 97.77272179894983 Sold = 181.48069248217257, Snew = 181.5080064429007 Snew - Sold = 0.02731396072812231 0.017266 seconds (5.75 k allocations: 448.516 KiB) 9 plaq_t = 0.23953287153808148 acceptance ratio 1.0 Sfold = 92.55287572194491 Sold = 191.8606383954595 Sfnew = 90.96378028708642 Sold = 191.8606383954595, Snew = 191.80699378183755 Snew - Sold = -0.05364461362194106 0.016698 seconds (5.58 k allocations: 436.125 KiB) 10 plaq_t = 0.18701678416706446 acceptance ratio 1.0 4D HMC ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{1}(n)U_{3}(n+e_{1})U^{\dagger}_{1}(n+e_{3})U^{\dagger}_{3}(n)$" 3-rd loop L"$U_{1}(n)U_{4}(n+e_{1})U^{\dagger}_{1}(n+e_{4})U^{\dagger}_{4}(n)$" 4-th loop L"$U_{2}(n)U_{3}(n+e_{2})U^{\dagger}_{2}(n+e_{3})U^{\dagger}_{3}(n)$" 5-th loop L"$U_{2}(n)U_{4}(n+e_{2})U^{\dagger}_{2}(n+e_{4})U^{\dagger}_{4}(n)$" 6-th loop L"$U_{3}(n)U_{4}(n+e_{3})U^{\dagger}_{3}(n+e_{4})U^{\dagger}_{4}(n)$" 7-th loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" 8-th loop L"$U_{3}(n)U_{1}(n+e_{3})U^{\dagger}_{3}(n+e_{1})U^{\dagger}_{1}(n)$" 9-th loop L"$U_{4}(n)U_{1}(n+e_{4})U^{\dagger}_{4}(n+e_{1})U^{\dagger}_{1}(n)$" 10-th loop L"$U_{3}(n)U_{2}(n+e_{3})U^{\dagger}_{3}(n+e_{2})U^{\dagger}_{2}(n)$" 11-th loop L"$U_{4}(n)U_{2}(n+e_{4})U^{\dagger}_{4}(n+e_{2})U^{\dagger}_{2}(n)$" 12-th loop L"$U_{4}(n)U_{3}(n+e_{4})U^{\dagger}_{4}(n+e_{3})U^{\dagger}_{3}(n)$" ------------------------- ---------------------------------------------- Sfold = 3149.733640746476 Sold = -1306.9431005828678 Sfnew = 3032.5326759986274 Sold = -1306.9431005828678, Snew = -1326.639251534897 Snew - Sold = -19.696150952029257 7.703477 seconds (1.89 M allocations: 100.607 MiB, 0.59% gc time, 82.83% compilation time) 1 plaq_t = 2.4155745619223525 acceptance ratio 1.0 Sfold = 3071.298409938048 Sold = 291.31925819175103 Sfnew = 3028.3184477291525 Sold = 291.31925819175103, Snew = 281.6390926172262 Snew - Sold = -9.680165574524835 1.503021 seconds (27.06 k allocations: 2.702 MiB) 2 plaq_t = 2.1370599761892843 acceptance ratio 1.0 Sfold = 3047.174800199926 Sold = 1128.8389485210255 Sfnew = 3011.255662091788 Sold = 1128.8389485210255, Snew = 1123.1897368719742 Snew - Sold = -5.649211649051267 1.731285 seconds (26.86 k allocations: 2.683 MiB) 3 plaq_t = 1.9307618947047456 acceptance ratio 1.0 Sfold = 3112.116622726544 Sold = 1760.7081917752066 Sfnew = 3083.8920284270853 Sold = 1760.7081917752066, Snew = 1758.3432707115885 Snew - Sold = -2.3649210636181124 1.801598 seconds (27.11 k allocations: 2.707 MiB) 4 plaq_t = 1.8380944912704618 acceptance ratio 1.0 Sfold = 2987.369432215807 Sold = 1911.2710780635489 Sfnew = 2957.2661895851998 Sold = 1911.2710780635489, Snew = 1910.3835255691833 Snew - Sold = -0.8875524943655364 1.818465 seconds (26.79 k allocations: 2.677 MiB) 5 plaq_t = 1.7938626888149827 acceptance ratio 1.0 Sfold = 3073.8815614027258 Sold = 2214.8229668318213 Sfnew = 3058.112176164207 Sold = 2214.8229668318213, Snew = 2213.0958284189765 Snew - Sold = -1.7271384128448517 1.828634 seconds (27.07 k allocations: 2.703 MiB) 6 plaq_t = 1.674883601431173 acceptance ratio 1.0 Sfold = 3148.7041239852806 Sold = 2582.6158645979613 Sfnew = 3157.3006166633977 Sold = 2582.6158645979613, Snew = 2582.538104381031 Snew - Sold = -0.07776021693007351 1.790970 seconds (26.79 k allocations: 2.677 MiB) 7 plaq_t = 1.6561166543820773 acceptance ratio 1.0 Sfold = 3119.1278615664214 Sold = 2700.1239684881584 Sfnew = 3092.1990380368898 Sold = 2700.1239684881584, Snew = 2700.1767651498158 Snew - Sold = 0.05279666165733943 1.766097 seconds (26.73 k allocations: 2.672 MiB) 8 plaq_t = 1.606972823301405 acceptance ratio 1.0 Sfold = 3076.9243027644766 Sold = 2551.08252447882 Sfnew = 3070.9202385838007 Sold = 2551.08252447882, Snew = 2551.691215964287 Snew - Sold = 0.6086914854672614 1.723479 seconds (26.75 k allocations: 2.673 MiB) 9 plaq_t = 1.6434960442435966 acceptance ratio 1.0 Sfold = 3036.68171677594 Sold = 2520.5793124239335 Sfnew = 3063.06292755474 Sold = 2520.5793124239335, Snew = 2520.0130249640624 Snew - Sold = -0.5662874598710914 1.801306 seconds (26.71 k allocations: 2.670 MiB) 10 plaq_t = 1.6500843989919027 acceptance ratio 1.0 -0.43287616198234774 - 0.15157696424321446im BICG -------------------------------------- bicg method 1-th eps: 630.6799641505788 2-th eps: 197.47198889575077 3-th eps: 78.60820724979114 4-th eps: 34.905052821903 5-th eps: 16.789025122452024 6-th eps: 8.101912977259559 7-th eps: 4.3284632112998525 8-th eps: 2.892771073218887 9-th eps: 1.613344393904966 10-th eps: 0.42457411388354027 11-th eps: 0.07798195993066397 12-th eps: 0.014345840972068398 13-th eps: 0.0029214562502712683 14-th eps: 0.0006091412697609104 15-th eps: 0.00011012025950147731 16-th eps: 1.5978988055652383e-5 17-th eps: 1.6360116369215515e-6 18-th eps: 6.500496674355628e-8 19-th eps: 4.813609867066743e-11 Converged at 19-th step. eps: 4.813609867066743e-11 -------------------------------------- 0.540207 seconds (48.02 k allocations: 2.643 MiB, 82.34% compilation time) 3832.102355661538 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 91.74323831873981 2-th eps: 9.70061783202601 3-th eps: 5.914127407348431 4-th eps: 0.3615169249579937 5-th eps: 0.07640032858827345 6-th eps: 0.02165089723613835 7-th eps: 0.013291595251771104 8-th eps: 0.03078948773304104 9-th eps: 0.00442593264245687 10-th eps: 0.0005701406179112571 11-th eps: 0.000147988832798725 12-th eps: 1.2939333225250608e-5 13-th eps: 3.2819159133437436e-6 14-th eps: 6.155564940825022e-7 15-th eps: 7.156872289768784e-9 16-th eps: 1.0515851907336282e-12 Converged at 16-th step. eps: 1.0515851907336282e-12 -------------------------------------- 0.470107 seconds (45.22 k allocations: 2.487 MiB, 80.86% compilation time) 3832.1022309467403 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 630.6799641505788 2-th eps: 197.47198889575077 3-th eps: 78.60820724979114 4-th eps: 34.905052821903 5-th eps: 16.789025122452024 6-th eps: 8.101912977259559 7-th eps: 4.3284632112998525 8-th eps: 2.892771073218887 9-th eps: 1.613344393904966 10-th eps: 0.42457411388354027 11-th eps: 0.07798195993066397 12-th eps: 0.014345840972068398 13-th eps: 0.0029214562502712683 14-th eps: 0.0006091412697609104 15-th eps: 0.00011012025950147731 16-th eps: 1.5978988055652383e-5 17-th eps: 1.6360116369215515e-6 18-th eps: 6.500496674355628e-8 19-th eps: 4.813609867066743e-11 Converged at 19-th step. eps: 4.813609867066743e-11 -------------------------------------- 0.095085 seconds (1.29 k allocations: 124.422 KiB) 3832.102355661538 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 91.74323831873981 2-th eps: 9.70061783202601 3-th eps: 5.914127407348431 4-th eps: 0.3615169249579937 5-th eps: 0.07640032858827345 6-th eps: 0.02165089723613835 7-th eps: 0.013291595251771104 8-th eps: 0.03078948773304104 9-th eps: 0.00442593264245687 10-th eps: 0.0005701406179112571 11-th eps: 0.000147988832798725 12-th eps: 1.2939333225250608e-5 13-th eps: 3.2819159133437436e-6 14-th eps: 6.155564940825022e-7 15-th eps: 7.156872289768784e-9 16-th eps: 1.0515851907336282e-12 Converged at 16-th step. eps: 1.0515851907336282e-12 -------------------------------------- 0.089523 seconds (1.09 k allocations: 105.250 KiB) 3832.1022309467403 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 630.6799641505788 2-th eps: 197.47198889575077 3-th eps: 78.60820724979114 4-th eps: 34.905052821903 5-th eps: 16.789025122452024 6-th eps: 8.101912977259559 7-th eps: 4.3284632112998525 8-th eps: 2.892771073218887 9-th eps: 1.613344393904966 10-th eps: 0.42457411388354027 11-th eps: 0.07798195993066397 12-th eps: 0.014345840972068398 13-th eps: 0.0029214562502712683 14-th eps: 0.0006091412697609104 15-th eps: 0.00011012025950147731 16-th eps: 1.5978988055652383e-5 17-th eps: 1.6360116369215515e-6 18-th eps: 6.500496674355628e-8 19-th eps: 4.813609867066743e-11 Converged at 19-th step. eps: 4.813609867066743e-11 -------------------------------------- 0.094331 seconds (1.29 k allocations: 124.422 KiB) 3832.102355661538 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 91.74323831873981 2-th eps: 9.70061783202601 3-th eps: 5.914127407348431 4-th eps: 0.3615169249579937 5-th eps: 0.07640032858827345 6-th eps: 0.02165089723613835 7-th eps: 0.013291595251771104 8-th eps: 0.03078948773304104 9-th eps: 0.00442593264245687 10-th eps: 0.0005701406179112571 11-th eps: 0.000147988832798725 12-th eps: 1.2939333225250608e-5 13-th eps: 3.2819159133437436e-6 14-th eps: 6.155564940825022e-7 15-th eps: 7.156872289768784e-9 16-th eps: 1.0515851907336282e-12 Converged at 16-th step. eps: 1.0515851907336282e-12 -------------------------------------- 0.085532 seconds (1.09 k allocations: 105.250 KiB) 3832.1022309467403 + 0.0im Sfold = 3113.024213055308 + 0.0im -------------------------------------- cg method 1-th eps: 625.8486442398956 2-th eps: 169.47945987648532 3-th eps: 53.34378185961274 4-th eps: 19.54330021261678 5-th eps: 7.363206745653255 6-th eps: 2.7815970147136264 7-th eps: 1.3543788235553378 8-th eps: 0.8427049835146531 9-th eps: 0.8499262930260544 10-th eps: 0.33339313861984565 11-th eps: 0.053469630150505015 12-th eps: 0.010093392651620797 13-th eps: 0.002448719792240626 14-th eps: 0.0003454900548481159 15-th eps: 8.868210832574924e-5 16-th eps: 1.0866855807411732e-5 17-th eps: 1.2083059920814967e-6 18-th eps: 6.688474034436011e-8 19-th eps: 4.937721201118806e-11 20-th eps: 1.7004815466389677e-17 21-th eps: 2.8425703944254908e-24 Converged at 21-th step. eps: 2.8425703944254908e-24 -------------------------------------- -------------------------------------- bicg method 1-th eps: 140.77900182939578 2-th eps: 56.672286727660975 3-th eps: 25.258321013662968 4-th eps: 12.792459831795695 5-th eps: 6.829334618141781 6-th eps: 3.73567232616352 7-th eps: 2.1434187226768944 8-th eps: 1.3255483958307088 9-th eps: 0.4410111096459347 10-th eps: 0.06725834268270808 11-th eps: 0.011464938547241696 12-th eps: 0.0022959300322943966 13-th eps: 0.0005005011916527538 14-th eps: 0.00011618877643793689 15-th eps: 1.5569250805880146e-5 16-th eps: 2.3349441309590167e-6 17-th eps: 1.730469414227937e-7 18-th eps: 3.3501358791719827e-9 19-th eps: 1.6372463972544634e-12 20-th eps: 4.128841362034665e-20 Converged at 20-th step. eps: 4.128841362034665e-20 -------------------------------------- Sfnew = 3113.0242130564425 Test Summary: | Pass Total Time LatticeDiracOperators.jl | 22 22 6m40.2s Testing LatticeDiracOperators tests passed Testing completed after 423.22s PkgEval succeeded after 534.0s