Package evaluation to test LatticeDiracOperators on Julia 1.14.0-DEV.1688 (ee54f91d68*) started at 2026-02-10T07:12:11.585 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 12.75s ################################################################################ # Installation # Installing LatticeDiracOperators... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [019239df] + LatticeDiracOperators v0.5.12 Updating `~/.julia/environments/v1.14/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [a9b6321e] + Atomix v1.1.2 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.19.3 [31c24e10] + Distributions v0.25.123 [ffbed154] + DocStringExtensions v0.9.5 [8f5d6c58] + EzXML v1.2.3 [5789e2e9] + FileIO v1.18.0 [1a297f60] + FillArrays v1.16.0 ⌅ [a461e10c] + Gaugefields v0.6.16 [076d061b] + HashArrayMappedTries v0.2.0 [34004b35] + HypergeometricFunctions v0.3.28 [92d709cd] + IrrationalConstants v0.2.6 ⌅ [0979c8fe] + JACC v0.6.0 ⌅ [033835bb] + JLD2 v0.5.15 [692b3bcd] + JLLWrappers v1.7.1 [b964fa9f] + LaTeXStrings v1.4.0 [019239df] + LatticeDiracOperators v0.5.12 ⌅ [dd6a91e4] + LatticeMatrices v0.2.7 [2ab3a3ac] + LogExpFunctions v0.3.29 ⌃ [da04e1cc] + MPI v0.20.16 [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 v0.11.37 [eebad327] + PkgVersion v0.3.3 ⌅ [f9710d63] + PreallocatedArrays v0.0.1 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.1 [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 v1.0.4 [90137ffa] + StaticArrays v1.9.16 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.8.0 [2913bbd2] + StatsBase v0.34.10 [4c63d2b9] + StatsFuns v1.5.2 [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 v2.12.2+0 [94ce4f54] + Libiconv_jll v1.18.0+0 [7cb0a576] + MPICH_jll v5.0.0+0 [f1f71cc9] + MPItrampoline_jll v5.5.4+0 [9237b28f] + MicrosoftMPI_jll v10.1.4+3 [fe0851c0] + OpenMPI_jll v5.0.9+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 ⌅ [02c8fc9c] + XML2_jll v2.13.9+0 [a65dc6b1] + Xorg_libpciaccess_jll v0.18.1+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 v1.13.0 [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 v1.14.0 [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 v1.13.0 [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 v8.18.0+0 [e37daf67] + LibGit2_jll v1.9.2+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [3a97d323] + MPFR_jll v4.2.2+0 [14a3606d] + MozillaCACerts_jll v2025.12.2 [4536629a] + OpenBLAS_jll v0.3.30+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 v1.68.0+1 [3f19e933] + p7zip_jll v17.7.0+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 9.39s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 1464.3 ms ✓ PreallocatedArrays 1752.8 ms ✓ CLIME_jll 1558.3 ms ✓ AlgRemez_jll 6194.5 ms ✓ JACC 9517.5 ms ✓ LatticeMatrices 21721.4 ms ✓ Gaugefields 20227.2 ms ✓ LatticeDiracOperators 7 dependencies successfully precompiled in 63 seconds. 102 already precompiled. Precompilation completed after 89.72s ################################################################################ # Testing # Testing LatticeDiracOperators Status `/tmp/jl_zJjVll/Project.toml` ⌅ [a461e10c] Gaugefields v0.6.16 ⌅ [0979c8fe] JACC v0.6.0 ⌅ [033835bb] JLD2 v0.5.15 [019239df] LatticeDiracOperators v0.5.12 ⌅ [dd6a91e4] LatticeMatrices v0.2.7 ⌃ [da04e1cc] MPI v0.20.16 [ae029012] Requires v1.3.1 [90137ffa] StaticArrays v1.9.16 [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_zJjVll/Manifest.toml` [66dad0bd] AliasTables v1.1.3 [a9b6321e] Atomix v1.1.2 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.19.3 [31c24e10] Distributions v0.25.123 [ffbed154] DocStringExtensions v0.9.5 [8f5d6c58] EzXML v1.2.3 [5789e2e9] FileIO v1.18.0 [1a297f60] FillArrays v1.16.0 ⌅ [a461e10c] Gaugefields v0.6.16 [076d061b] HashArrayMappedTries v0.2.0 [34004b35] HypergeometricFunctions v0.3.28 [92d709cd] IrrationalConstants v0.2.6 ⌅ [0979c8fe] JACC v0.6.0 ⌅ [033835bb] JLD2 v0.5.15 [692b3bcd] JLLWrappers v1.7.1 [b964fa9f] LaTeXStrings v1.4.0 [019239df] LatticeDiracOperators v0.5.12 ⌅ [dd6a91e4] LatticeMatrices v0.2.7 [2ab3a3ac] LogExpFunctions v0.3.29 ⌃ [da04e1cc] MPI v0.20.16 [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 v0.11.37 [eebad327] PkgVersion v0.3.3 ⌅ [f9710d63] PreallocatedArrays v0.0.1 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.1 [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 v1.0.4 [90137ffa] StaticArrays v1.9.16 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.8.0 [2913bbd2] StatsBase v0.34.10 [4c63d2b9] StatsFuns v1.5.2 [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 v2.12.2+0 [94ce4f54] Libiconv_jll v1.18.0+0 [7cb0a576] MPICH_jll v5.0.0+0 [f1f71cc9] MPItrampoline_jll v5.5.4+0 [9237b28f] MicrosoftMPI_jll v10.1.4+3 [fe0851c0] OpenMPI_jll v5.0.9+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [f50d1b31] Rmath_jll v0.5.1+0 ⌅ [02c8fc9c] XML2_jll v2.13.9+0 [a65dc6b1] Xorg_libpciaccess_jll v0.18.1+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 v1.13.0 [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 v1.14.0 [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 v1.13.0 [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 v8.18.0+0 [e37daf67] LibGit2_jll v1.9.2+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.12.2 [4536629a] OpenBLAS_jll v0.3.30+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 v1.68.0+1 [3f19e933] p7zip_jll v17.7.0+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... Wilson HMC 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 20.734408 seconds (2.48 M allocations: 146.398 MiB, 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 0.020153 seconds (13.28 k allocations: 890.906 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 0.021190 seconds (13.34 k allocations: 894.500 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 0.019943 seconds (13.59 k allocations: 910.609 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 0.019337 seconds (13.34 k allocations: 894.047 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 0.019789 seconds (13.74 k allocations: 919.703 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 0.020235 seconds (13.48 k allocations: 903.391 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 0.019124 seconds (13.14 k allocations: 881.641 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 0.021955 seconds (13.61 k allocations: 911.625 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 0.020302 seconds (13.21 k allocations: 886.109 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 37.855970 seconds (5.12 M allocations: 301.421 MiB, 0.45% gc time, 95.54% 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 1.840272 seconds (60.78 k allocations: 5.441 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 1.817024 seconds (60.30 k allocations: 5.400 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 1.851590 seconds (60.83 k allocations: 5.445 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 1.772428 seconds (60.14 k allocations: 5.386 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 1.795110 seconds (60.79 k allocations: 5.442 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 1.716123 seconds (60.14 k allocations: 5.385 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 1.771976 seconds (59.99 k allocations: 5.373 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 1.910726 seconds (60.01 k allocations: 5.374 MiB, 5.72% gc time) 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 1.775115 seconds (59.97 k allocations: 5.370 MiB) 10 plaq_t = 1.6500843989919027 acceptance ratio 1.0 Domainwall 4D DW 12530.996391078123 scaled Shamir kernel (Mobius DW) is used 12601.329062155686 Staggered HMC WARNING: Method definition MDtest!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:9 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:4. WARNING: Method definition calc_action(Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:37 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:27. WARNING: Method definition MDstep!(Any, Any, Any, Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:46 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:36. WARNING: Method definition U_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:106 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:77. WARNING: Method definition P_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:121 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:92. WARNING: Method definition P_update_fermion!(Any, Any, Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:134 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:105. WARNING: Method definition test1_2D() in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/wilsonhmc.jl:195 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/1BR1Q/test/hmc.jl:161. 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/GVeWR/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/GVeWR/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 = 11.028713923063332 + 0.0im Sfold = 18.582314419457205 Sfnew = 17.85888677411727 Sold = -56.726915215091225, Snew = -56.742150491648715 Snew - Sold = -0.015235276557490351 7.880583 seconds (1.55 M allocations: 94.214 MiB, 99.88% compilation time) 1 plaq_t = 0.16058479327117042 acceptance ratio 1.0 Sfold = 19.479836241111187 Sfnew = 16.203455700659998 Sold = -53.93157110805511, Snew = -53.93108872554021 Snew - Sold = 0.00048238251490317907 0.008930 seconds (27.02 k allocations: 2.297 MiB) 2 plaq_t = 0.16037157009887681 acceptance ratio 1.0 Sfold = 15.40580925557411 Sfnew = 15.311291233713638 Sold = -52.18837133984614, Snew = -52.22165538402701 Snew - Sold = -0.033284044180867056 0.008731 seconds (27.02 k allocations: 2.296 MiB) 3 plaq_t = 0.15097440653118 acceptance ratio 1.0 Sfold = 14.58886571186967 Sfnew = 14.696721054501186 Sold = -51.48366460309582, Snew = -51.450213757555375 Snew - Sold = 0.0334508455404432 0.007937 seconds (27.07 k allocations: 2.300 MiB) 4 plaq_t = 0.1607690793403658 acceptance ratio 1.0 Sfold = 17.391472409170063 Sfnew = 15.55506297817845 Sold = -48.80613345402959, Snew = -48.827673138955795 Snew - Sold = -0.021539684926203506 0.008724 seconds (27.03 k allocations: 2.297 MiB) 5 plaq_t = 0.15246682307442527 acceptance ratio 1.0 Sfold = 17.426315621899295 Sfnew = 18.816209889217518 Sold = -43.58856731804154, Snew = -43.5959583667202 Snew - Sold = -0.00739104867865592 0.008354 seconds (27.07 k allocations: 2.301 MiB) 6 plaq_t = 0.15325558952569476 acceptance ratio 1.0 Sfold = 14.122439782975059 Sfnew = 12.358495038452075 Sold = -47.5064155804652, Snew = -47.57218674887446 Snew - Sold = -0.06577116840925612 0.008207 seconds (27.04 k allocations: 2.298 MiB) 7 plaq_t = 0.1311796830319642 acceptance ratio 1.0 Sfold = 18.429737722882404 Sfnew = 14.448220058166077 Sold = -34.36610445067275, Snew = -34.32005137772245 Snew - Sold = 0.04605307295030059 0.008680 seconds (27.02 k allocations: 2.296 MiB) 8 plaq_t = 0.13730603490528984 acceptance ratio 1.0 Sfold = 15.166519757033617 Sfnew = 14.171777406511179 Sold = -44.62670113461197, Snew = -44.612391472212636 Snew - Sold = 0.0143096623993344 0.009002 seconds (27.02 k allocations: 2.297 MiB) 9 plaq_t = 0.1406710695776784 acceptance ratio 1.0 Sfold = 10.902968708899667 Sfnew = 12.230796915220173 Sold = -51.270253056647306, Snew = -51.244900874731336 Snew - Sold = 0.025352181915970107 0.008670 seconds (27.05 k allocations: 2.299 MiB) 10 plaq_t = 0.15040439579257342 acceptance ratio 1.0 Nf = 2 Sfold = 5.842875432030549 + 0.0im Sfold = 7.032093158517672 Sfnew = 7.282972327721154 Sold = -61.4150352621361, Snew = -61.40286081391308 Snew - Sold = 0.012174448223021272 0.503360 seconds (76.42 k allocations: 5.386 MiB, 98.26% compilation time) 1 plaq_t = 0.15418583402486946 acceptance ratio 1.0 Sfold = 9.047663752677918 Sfnew = 6.203502853050766 Sold = -55.505517977240146, Snew = -55.51357175837936 Snew - Sold = -0.00805378113921762 0.008351 seconds (27.73 k allocations: 2.355 MiB) 2 plaq_t = 0.1498241078583922 acceptance ratio 1.0 Sfold = 12.779404975605898 Sfnew = 13.51658482452444 Sold = -47.46506042620724, Snew = -47.442806715077566 Snew - Sold = 0.02225371112967167 0.008140 seconds (27.69 k allocations: 2.353 MiB) 3 plaq_t = 0.15865092498760242 acceptance ratio 1.0 Sfold = 5.30575712838848 Sfnew = 5.85258074654234 Sold = -62.90873739697976, Snew = -62.91117312550251 Snew - Sold = -0.002435728522748093 0.008258 seconds (27.73 k allocations: 2.356 MiB) 4 plaq_t = 0.15754051624480375 acceptance ratio 1.0 Sfold = 5.010198816351334 Sfnew = 7.482947940853845 Sold = -59.17768054218894, Snew = -59.20426657070229 Snew - Sold = -0.026586028513349902 0.008917 seconds (27.70 k allocations: 2.353 MiB) 5 plaq_t = 0.1516211910335347 acceptance ratio 1.0 Sfold = 6.5975626661641575 Sfnew = 8.90038824915154 Sold = -59.28894290522765, Snew = -59.27366673297326 Snew - Sold = 0.015276172254388598 0.008716 seconds (27.64 k allocations: 2.348 MiB) 6 plaq_t = 0.1580809288234056 acceptance ratio 1.0 Sfold = 5.81641325918499 Sfnew = 6.1137920248634625 Sold = -55.287328344721494, Snew = -55.29258150194598 Snew - Sold = -0.005253157224487381 0.008393 seconds (27.66 k allocations: 2.350 MiB) 7 plaq_t = 0.15768170401216325 acceptance ratio 1.0 Sfold = 10.3112512081034 Sfnew = 10.039216309707781 Sold = -60.002056603829246, Snew = -60.004579137345885 Snew - Sold = -0.002522533516639669 0.008124 seconds (27.71 k allocations: 2.354 MiB) 8 plaq_t = 0.15619655771406887 acceptance ratio 1.0 Sfold = 13.130178559982458 Sfnew = 13.803115066116254 Sold = -52.418188079636394, Snew = -52.41573564773892 Snew - Sold = 0.0024524318974741277 0.008288 seconds (27.68 k allocations: 2.351 MiB) 9 plaq_t = 0.15690156209043474 acceptance ratio 1.0 Sfold = 7.290715539672285 Sfnew = 7.813496038575265 Sold = -60.2870555597845, Snew = -60.290287043278425 Snew - Sold = -0.003231483493927101 0.007798 seconds (27.69 k allocations: 2.352 MiB) 10 plaq_t = 0.15754159617516145 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 = 17.482620809007003 + 0.0im Sfold = 15.06486809298466 Sfnew = 15.146838117948658 Sold = -51.35594242583684, Snew = -51.35753329293105 Snew - Sold = -0.001590867094215298 2.087801 seconds (289.22 k allocations: 19.359 MiB, 99.14% compilation time) 1 plaq_t = 0.1577026574681877 acceptance ratio 1.0 Sfold = 14.832245261289756 Sfnew = 14.474907024211944 Sold = -37.38014234079955, Snew = -37.43459244274585 Snew - Sold = -0.05445010194630129 0.018597 seconds (52.84 k allocations: 5.024 MiB) 2 plaq_t = 0.1402871677502426 acceptance ratio 1.0 Sfold = 16.459482731295964 Sfnew = 17.8317472972203 Sold = -35.37859835087689, Snew = -35.3843524397396 Snew - Sold = -0.005754088862708784 0.018333 seconds (52.80 k allocations: 5.022 MiB) 3 plaq_t = 0.13804951431753135 acceptance ratio 1.0 Sfold = 17.295916846952974 Sfnew = 16.40252769096812 Sold = -36.195747086809035, Snew = -36.14599840911057 Snew - Sold = 0.04974867769846725 0.017452 seconds (52.84 k allocations: 5.024 MiB) 4 plaq_t = 0.1540826071879084 acceptance ratio 1.0 Sfold = 18.833746137491215 Sfnew = 19.592622261546026 Sold = -43.41787126799197, Snew = -43.419553382334044 Snew - Sold = -0.0016821143420742146 0.017316 seconds (52.87 k allocations: 5.026 MiB) 5 plaq_t = 0.15451996238554422 acceptance ratio 1.0 Sfold = 25.706925476915355 Sfnew = 25.88203592526485 Sold = -38.80432643360879, Snew = -38.82489953516646 Snew - Sold = -0.020573101557666007 0.017197 seconds (52.84 k allocations: 5.024 MiB) 6 plaq_t = 0.14747392843486637 acceptance ratio 1.0 Sfold = 18.53992598663354 Sfnew = 18.28544831939925 Sold = -47.90985227061088, Snew = -47.884104948283166 Snew - Sold = 0.025747322327710265 0.016811 seconds (52.84 k allocations: 5.024 MiB) 7 plaq_t = 0.15482245917002996 acceptance ratio 1.0 Sfold = 13.02956778113892 Sfnew = 13.102031115160644 Sold = -54.00768826705158, Snew = -54.000898875183665 Snew - Sold = 0.0067893918679118315 0.016948 seconds (52.84 k allocations: 5.024 MiB) 8 plaq_t = 0.15821534494221878 acceptance ratio 1.0 Sfold = 16.801607618796996 Sfnew = 16.86600840910109 Sold = -49.34361260877991, Snew = -49.379127693371935 Snew - Sold = -0.03551508459202779 0.018234 seconds (52.75 k allocations: 5.017 MiB) 9 plaq_t = 0.1493950697444496 acceptance ratio 1.0 Sfold = 15.196798176408835 Sfnew = 14.684768700287922 Sold = -46.836385772275335, Snew = -46.81000657171555 Snew - Sold = 0.02637920055978782 0.018108 seconds (52.73 k allocations: 5.017 MiB) 10 plaq_t = 0.15365514838577832 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/GVeWR/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/GVeWR/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 = 26.036860955422654 + 0.0im Sfold = 33.414648758400006 Sfnew = 30.25669742126916 Sold = -6.466383599077005, Snew = -6.475572410291143 Snew - Sold = -0.009188811214137615 10.222989 seconds (2.03 M allocations: 126.190 MiB, 0.63% gc time, 99.87% compilation time) 1 plaq_t = 0.14228787068250462 acceptance ratio 1.0 Sfold = 29.220931860693977 Sfnew = 22.638013189655613 Sold = 5.657340965109054, Snew = 5.656586444597554 Snew - Sold = -0.0007545205114993792 0.012480 seconds (27.03 k allocations: 2.298 MiB) 2 plaq_t = 0.12355640714536832 acceptance ratio 1.0 Sfold = 29.307752199709924 Sfnew = 32.15670811756572 Sold = 2.6660367650880303, Snew = 2.670341137524453 Snew - Sold = 0.0043043724364224545 0.012900 seconds (27.04 k allocations: 2.299 MiB) 3 plaq_t = 0.14372713740246115 acceptance ratio 1.0 Sfold = 35.741542411504696 Sfnew = 34.98861409877642 Sold = 0.954244295633714, Snew = 0.9520890270339066 Snew - Sold = -0.002155268599807414 0.013153 seconds (27.03 k allocations: 2.298 MiB) 4 plaq_t = 0.13760339562312254 acceptance ratio 1.0 Sfold = 26.589834342345306 Sfnew = 24.195568828385355 Sold = 0.3433296757537079, Snew = 0.33615539664612726 Snew - Sold = -0.007174279107580617 0.013500 seconds (27.00 k allocations: 2.295 MiB) 5 plaq_t = 0.12250161402106931 acceptance ratio 1.0 Sfold = 40.41698831593453 Sfnew = 42.26146561536193 Sold = 9.324274771576825, Snew = 9.321654794072742 Snew - Sold = -0.0026199775040822715 0.012631 seconds (26.98 k allocations: 2.294 MiB) 6 plaq_t = 0.12346162892792495 acceptance ratio 1.0 Sfold = 22.335501949930418 Sfnew = 26.309482435181582 Sold = 8.150749575451997, Snew = 8.153419570171199 Snew - Sold = 0.002669994719202151 0.012419 seconds (27.00 k allocations: 2.295 MiB) 7 plaq_t = 0.1359764549601358 acceptance ratio 1.0 Sfold = 33.06359516283 Sfnew = 34.72185899703194 Sold = 7.622845201001255, Snew = 7.621558924772785 Snew - Sold = -0.0012862762284697737 0.012534 seconds (26.98 k allocations: 2.295 MiB) 8 plaq_t = 0.1342417969842786 acceptance ratio 1.0 Sfold = 30.876024284276347 Sfnew = 33.554881631464696 Sold = 8.6194631730147, Snew = 8.617951622374761 Snew - Sold = -0.001511550639939685 0.012938 seconds (27.02 k allocations: 2.298 MiB) 9 plaq_t = 0.14437832608460677 acceptance ratio 1.0 Sfold = 30.99444565432753 Sfnew = 27.2646328358889 Sold = 1.809470035428884, Snew = 1.8138800974192542 Snew - Sold = 0.004410061990370195 0.012156 seconds (26.98 k allocations: 2.295 MiB) 10 plaq_t = 0.13546915864386538 acceptance ratio 1.0 Nf = 2 Sfold = 15.257110256039102 + 0.0im Sfold = 13.678320244571255 Sfnew = 15.897832483056868 Sold = 4.312204808254302, Snew = 4.305122407956192 Snew - Sold = -0.007082400298109803 0.493405 seconds (76.33 k allocations: 5.381 MiB, 97.24% compilation time) 1 plaq_t = 0.12187596147627999 acceptance ratio 1.0 Sfold = 15.094107168471046 Sfnew = 13.970461672500521 Sold = 3.513933675980274, Snew = 3.513115141386253 Snew - Sold = -0.0008185345940212585 0.013769 seconds (27.68 k allocations: 2.352 MiB) 2 plaq_t = 0.12705708854849776 acceptance ratio 1.0 Sfold = 21.458576990539843 Sfnew = 21.309618724849685 Sold = 0.4079351137897227, Snew = 0.4072246045586638 Snew - Sold = -0.0007105092310588645 0.040024 seconds (27.67 k allocations: 2.351 MiB, 66.24% gc time) 3 plaq_t = 0.1165430238857719 acceptance ratio 1.0 Sfold = 10.890745110515214 Sfnew = 11.082604367217145 Sold = -12.95607700535639, Snew = -12.950075040986823 Snew - Sold = 0.006001964369566792 0.013972 seconds (27.69 k allocations: 2.353 MiB) 4 plaq_t = 0.13403880029501805 acceptance ratio 1.0 Sfold = 11.825382884714594 Sfnew = 12.46215215773981 Sold = -4.790664844427573, Snew = -4.797006391589475 Snew - Sold = -0.006341547161902383 0.013712 seconds (27.68 k allocations: 2.353 MiB) 5 plaq_t = 0.11524497859786893 acceptance ratio 1.0 Sfold = 17.88735333490797 Sfnew = 20.062873854658434 Sold = 4.824118515777428, Snew = 4.82465061248908 Snew - Sold = 0.000532096711651775 0.013897 seconds (27.64 k allocations: 2.350 MiB) 6 plaq_t = 0.11967757676951275 acceptance ratio 1.0 Sfold = 14.393786524297626 Sfnew = 14.29681069003814 Sold = -9.886134384408853, Snew = -9.876291037103154 Snew - Sold = 0.009843347305698913 0.013842 seconds (27.61 k allocations: 2.346 MiB) 7 plaq_t = 0.13263177586018005 acceptance ratio 1.0 Sfold = 15.541275914796065 Sfnew = 10.522991623700678 Sold = -11.003422911418676, Snew = -10.995750629957355 Snew - Sold = 0.007672281461321262 0.015155 seconds (27.65 k allocations: 2.349 MiB) 8 plaq_t = 0.13141267179100638 acceptance ratio 1.0 Sfold = 19.83412732459506 Sfnew = 20.971588566932812 Sold = 5.3523799647585975, Snew = 5.342504685668448 Snew - Sold = -0.009875279090149292 0.012402 seconds (27.64 k allocations: 2.350 MiB) 9 plaq_t = 0.12783597731540453 acceptance ratio 1.0 Sfold = 17.339657832145107 Sfnew = 12.46674929042414 Sold = 5.375345439783651, Snew = 5.374125177181263 Snew - Sold = -0.0012202626023878338 0.013791 seconds (27.55 k allocations: 2.342 MiB) 10 plaq_t = 0.12179001274432118 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 = 30.38935096400428 + 0.0im Sfold = 34.39218104283232 Sfnew = 34.115839766763635 Sold = 17.52103008128657, Snew = 17.521763282310438 Snew - Sold = 0.0007332010238698672 1.905219 seconds (244.28 k allocations: 17.347 MiB, 98.39% compilation time) 1 plaq_t = 0.12363306989839773 acceptance ratio 1.0 Sfold = 25.653745322886383 Sfnew = 25.278325203112644 Sold = 5.47030148918309, Snew = 5.462941505310496 Snew - Sold = -0.00735998387259329 0.030335 seconds (52.80 k allocations: 5.490 MiB) 2 plaq_t = 0.11914929910040403 acceptance ratio 1.0 Sfold = 29.679771224725872 Sfnew = 31.142082438966046 Sold = 6.113233660157132, Snew = 6.112896327675561 Snew - Sold = -0.00033733248157119533 0.030993 seconds (52.75 k allocations: 5.487 MiB) 3 plaq_t = 0.11170158573865588 acceptance ratio 1.0 Sfold = 46.24020255467263 Sfnew = 44.36999736985862 Sold = 22.851095252142812, Snew = 22.859726332817758 Snew - Sold = 0.008631080674945224 0.030078 seconds (52.75 k allocations: 5.487 MiB) 4 plaq_t = 0.1310317666973942 acceptance ratio 1.0 Sfold = 32.89118364493274 Sfnew = 34.1475947545523 Sold = 10.35168463079765, Snew = 10.350177247078712 Snew - Sold = -0.0015073837189376604 0.032312 seconds (52.77 k allocations: 5.488 MiB) 5 plaq_t = 0.12730919205521768 acceptance ratio 1.0 Sfold = 37.0593831679301 Sfnew = 35.246569500205354 Sold = 12.299991827558443, Snew = 12.301475722131613 Snew - Sold = 0.001483894573169664 0.033380 seconds (52.73 k allocations: 5.486 MiB) 6 plaq_t = 0.12857128556784833 acceptance ratio 1.0 Sfold = 21.571200574921477 Sfnew = 21.526618470492224 Sold = 2.2716709766453818, Snew = 2.2746171933852324 Snew - Sold = 0.0029462167398506267 0.033979 seconds (52.79 k allocations: 5.490 MiB) 7 plaq_t = 0.1346156153731592 acceptance ratio 1.0 Sfold = 28.74990130355328 Sfnew = 30.395285044815267 Sold = 12.482332822988113, Snew = 12.474874959040932 Snew - Sold = -0.007457863947180954 0.054687 seconds (52.82 k allocations: 5.493 MiB, 36.27% gc time) 8 plaq_t = 0.12336893055076006 acceptance ratio 1.0 Sfold = 35.641541311561745 Sfnew = 33.15742318165126 Sold = 22.173233353103647, Snew = 22.179420569425766 Snew - Sold = 0.006187216322118161 0.034642 seconds (52.80 k allocations: 5.491 MiB) 9 plaq_t = 0.1338761480144251 acceptance ratio 1.0 Sfold = 28.571331908949205 Sfnew = 28.11568933412475 Sold = -2.5560714141077057, Snew = -2.5590921888154305 Snew - Sold = -0.0030207747077248825 0.035549 seconds (52.81 k allocations: 5.491 MiB) 10 plaq_t = 0.12685065845951193 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/GVeWR/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/GVeWR/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 = 36.772079203229225 + 0.0im Sfold = 53.146197721028514 Sfnew = 41.55086337193658 Sold = 69.76302993586872, Snew = 69.73521473978212 Snew - Sold = -0.027815196086592664 19.768256 seconds (3.54 M allocations: 215.709 MiB, 0.48% gc time, 99.82% compilation time) 1 plaq_t = 0.09224495704382317 acceptance ratio 1.0 Sfold = 47.59253066312902 Sfnew = 47.87881823676295 Sold = 115.71583320781829, Snew = 115.74780214239085 Snew - Sold = 0.03196893457256067 0.042271 seconds (64.33 k allocations: 5.412 MiB) 2 plaq_t = 0.08070777990922964 acceptance ratio 1.0 Sfold = 48.05990511346655 Sfnew = 51.78452241045328 Sold = 117.3495906439729, Snew = 117.32336142972278 Snew - Sold = -0.026229214250122368 0.041603 seconds (64.14 k allocations: 5.397 MiB) 3 plaq_t = 0.07800229870489768 acceptance ratio 1.0 Sfold = 46.258351865110974 Sfnew = 55.09221839812795 Sold = 141.1262220932216, Snew = 141.1064510007378 Snew - Sold = -0.019771092483807706 0.040860 seconds (64.16 k allocations: 5.399 MiB) 4 plaq_t = 0.08383491846975707 acceptance ratio 1.0 Sfold = 38.81260885486267 Sfnew = 37.35616040230286 Sold = 130.7138055486518, Snew = 130.68605658748095 Snew - Sold = -0.027748961170857456 0.042264 seconds (64.28 k allocations: 5.409 MiB) 5 plaq_t = 0.08152406957625143 acceptance ratio 1.0 Sfold = 44.278398793193475 Sfnew = 44.96271098962925 Sold = 154.4891201609, Snew = 154.4799276526395 Snew - Sold = -0.009192508260497334 0.042266 seconds (64.28 k allocations: 5.407 MiB) 6 plaq_t = 0.08678546494627737 acceptance ratio 1.0 Sfold = 46.47380358361646 Sfnew = 49.077287263844894 Sold = 132.87631332322513, Snew = 132.88088818855493 Snew - Sold = 0.004574865329800559 0.041946 seconds (64.34 k allocations: 5.413 MiB) 7 plaq_t = 0.08848084722883032 acceptance ratio 1.0 Sfold = 47.15322913838334 Sfnew = 52.031747714765785 Sold = 125.67957118353614, Snew = 125.67467261086004 Snew - Sold = -0.004898572676097501 0.040691 seconds (64.34 k allocations: 5.413 MiB) 8 plaq_t = 0.0807983346277691 acceptance ratio 1.0 Sfold = 44.37506147458808 Sfnew = 47.11967525968708 Sold = 126.67669656322516, Snew = 126.67430505152717 Snew - Sold = -0.0023915116979935647 0.038954 seconds (64.25 k allocations: 5.405 MiB) 9 plaq_t = 0.09715279140920897 acceptance ratio 1.0 Sfold = 47.17700763595851 Sfnew = 41.457963610862585 Sold = 121.45632596513622, Snew = 121.47673622410858 Snew - Sold = 0.020410258972361817 0.038461 seconds (64.31 k allocations: 5.409 MiB) 10 plaq_t = 0.07923571810199216 acceptance ratio 1.0 Nf = 2 Sfold = 28.53026013632256 + 0.0im Sfold = 23.39697893772037 Sfnew = 23.457466015091274 Sold = 107.60000749483268, Snew = 107.59199788795253 Snew - Sold = -0.008009606880150955 0.526288 seconds (114.97 k allocations: 8.605 MiB, 3.04% gc time, 89.78% compilation time) 1 plaq_t = 0.07925250851615862 acceptance ratio 1.0 Sfold = 18.578787824430147 Sfnew = 22.03825571003961 Sold = 108.27459428582907, Snew = 108.2638427982317 Snew - Sold = -0.010751487597360665 0.036865 seconds (66.28 k allocations: 5.573 MiB) 2 plaq_t = 0.08146526811571309 acceptance ratio 1.0 Sfold = 30.950150281428655 Sfnew = 20.331400951980125 Sold = 107.99422585496319, Snew = 108.00872200195477 Snew - Sold = 0.014496146991575642 0.037094 seconds (66.79 k allocations: 5.617 MiB) 3 plaq_t = 0.057246759447857606 acceptance ratio 1.0 Sfold = 29.956278227794492 Sfnew = 35.26431582195988 Sold = 127.16017318506209, Snew = 127.17063541511718 Snew - Sold = 0.010462230055082955 0.037494 seconds (66.52 k allocations: 5.595 MiB) 4 plaq_t = 0.08290088745596585 acceptance ratio 1.0 Sfold = 23.226476131267823 Sfnew = 24.564801531679848 Sold = 114.03717099203922, Snew = 114.03004694042086 Snew - Sold = -0.007124051618362159 0.039291 seconds (67.99 k allocations: 5.718 MiB) 5 plaq_t = 0.0664771458487973 acceptance ratio 1.0 Sfold = 23.17591368127767 Sfnew = 26.47038931566095 Sold = 110.7877839947337, Snew = 110.79216875237893 Snew - Sold = 0.0043847576452265 0.037834 seconds (66.66 k allocations: 5.606 MiB) 6 plaq_t = 0.07672702643001862 acceptance ratio 1.0 Sfold = 27.41176350045009 Sfnew = 27.760379571027062 Sold = 111.73278194000918, Snew = 111.72993501595921 Snew - Sold = -0.0028469240499617854 0.036840 seconds (66.17 k allocations: 5.565 MiB) 7 plaq_t = 0.08600218839044407 acceptance ratio 1.0 Sfold = 26.69270500564557 Sfnew = 21.062067666100734 Sold = 111.43179615814122, Snew = 111.52383033738685 Snew - Sold = 0.09203417924562984 0.038927 seconds (66.80 k allocations: 5.618 MiB) 8 plaq_t = 0.0761792960892002 acceptance ratio 1.0 Sfold = 34.2278213171592 Sfnew = 23.408181556653528 Sold = 99.69599883708185, Snew = 99.73121374095324 Snew - Sold = 0.03521490387139181 0.038471 seconds (68.09 k allocations: 5.727 MiB) 9 plaq_t = 0.06969840183272592 acceptance ratio 1.0 Sfold = 26.85703510305778 Sfnew = 20.018690322500074 Sold = 113.78747319382764, Snew = 113.85466640230052 Snew - Sold = 0.06719320847288657 0.051888 seconds (68.08 k allocations: 5.726 MiB, 25.21% gc time) 10 plaq_t = 0.08199983079616648 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 = 48.22931155451093 + 0.0im Sfold = 48.09445213616302 Sfnew = 47.16788192490337 Sold = 149.04037770130853, Snew = 149.03543247387302 Snew - Sold = -0.004945227435513289 1.935778 seconds (289.48 k allocations: 21.557 MiB, 95.03% compilation time) 1 plaq_t = 0.07367882790895718 acceptance ratio 1.0 Sfold = 56.11164142656572 Sfnew = 51.99170305255659 Sold = 141.1448526611995, Snew = 141.1481176310573 Snew - Sold = 0.0032649698577813524 0.100456 seconds (97.54 k allocations: 9.664 MiB) 2 plaq_t = 0.08924308609849389 acceptance ratio 1.0 Sfold = 55.88344128271325 Sfnew = 55.90114321107489 Sold = 132.97612972149136, Snew = 132.96932741205316 Snew - Sold = -0.006802309438199927 0.093266 seconds (97.70 k allocations: 9.678 MiB) 3 plaq_t = 0.06993907620709422 acceptance ratio 1.0 Sfold = 40.33367346698307 Sfnew = 36.3106669324517 Sold = 129.53352610630566, Snew = 129.53071006483427 Snew - Sold = -0.0028160414713909176 0.096141 seconds (98.08 k allocations: 9.709 MiB) 4 plaq_t = 0.06500875308564086 acceptance ratio 1.0 Sfold = 28.631716751544822 Sfnew = 28.786382090521794 Sold = 126.55347761944125, Snew = 126.56691185027763 Snew - Sold = 0.013434230836381289 0.101432 seconds (97.05 k allocations: 9.624 MiB, 17.40% gc time) 5 plaq_t = 0.08366431968939987 acceptance ratio 1.0 Sfold = 53.637784541752154 Sfnew = 53.80843693228095 Sold = 143.42574019159485, Snew = 143.4123494942897 Snew - Sold = -0.013390697305140975 0.076730 seconds (96.97 k allocations: 9.616 MiB) 6 plaq_t = 0.06552988365371792 acceptance ratio 1.0 Sfold = 37.01105044188196 Sfnew = 35.58412923654661 Sold = 140.525365003038, Snew = 140.52244798915632 Snew - Sold = -0.0029170138816709823 0.082662 seconds (98.07 k allocations: 9.709 MiB) 7 plaq_t = 0.04947355257405708 acceptance ratio 1.0 Sfold = 39.8568897499077 Sfnew = 37.54252988255852 Sold = 137.81710213326622, Snew = 137.83589562754275 Snew - Sold = 0.01879349427653665 0.080046 seconds (98.02 k allocations: 9.704 MiB) 8 plaq_t = 0.06722528368132383 acceptance ratio 1.0 Sfold = 39.154225462747824 Sfnew = 39.418426423102 Sold = 122.36077938580499, Snew = 122.35433917081829 Snew - Sold = -0.006440214986696446 0.075829 seconds (97.96 k allocations: 9.699 MiB) 9 plaq_t = 0.056083373527627475 acceptance ratio 1.0 Sfold = 40.800097749358045 Sfnew = 37.931137798080016 Sold = 133.0851958374948, Snew = 133.09669112870972 Snew - Sold = 0.01149529121491355 0.082877 seconds (97.47 k allocations: 9.657 MiB) 10 plaq_t = 0.08757056964655793 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 = 774.4278130858287 + 0.0im Sfold = 769.1256992012421 Sfnew = 535.9902634760775 Sold = -3691.945114040489, Snew = -3694.1710916913735 Snew - Sold = -2.225977650884488 16.125417 seconds (2.48 M allocations: 155.618 MiB, 0.16% gc time, 75.24% compilation time) 1 plaq_t = 0.7974737734019343 acceptance ratio 1.0 Sfold = 778.2953750586763 Sfnew = 661.0640996278838 Sold = -1859.840656812415, Snew = -1860.7349411672617 Snew - Sold = -0.8942843548466044 5.583054 seconds (366.09 k allocations: 34.868 MiB, 0.89% gc time) 2 plaq_t = 0.700953884754136 acceptance ratio 1.0 Sfold = 772.8518137604689 Sfnew = 726.6241103536853 Sold = -1086.0035921061517, Snew = -1086.3111156129062 Snew - Sold = -0.30752350675447815 6.294339 seconds (412.62 k allocations: 39.259 MiB, 0.17% gc time) 3 plaq_t = 0.661029850262302 acceptance ratio 1.0 Sfold = 719.1705895514746 Sfnew = 684.0381816133555 Sold = -735.6548086539675, Snew = -735.943806561398 Snew - Sold = -0.2889979074304847 6.193692 seconds (403.45 k allocations: 38.393 MiB, 0.20% gc time) 4 plaq_t = 0.6261338678144787 acceptance ratio 1.0 Sfold = 802.0292931888788 Sfnew = 744.6344889738084 Sold = -369.64434222476496, Snew = -369.5686416866979 Snew - Sold = 0.07570053806705346 6.659191 seconds (437.11 k allocations: 41.572 MiB, 0.07% gc time) 5 plaq_t = 0.6056204778149725 acceptance ratio 1.0 Sfold = 783.9216071590589 Sfnew = 749.7982947153471 Sold = -124.18097785206749, Snew = -124.18521960079374 Snew - Sold = -0.004241748726258265 7.140125 seconds (464.90 k allocations: 44.198 MiB, 0.07% gc time) 6 plaq_t = 0.5974603723023676 acceptance ratio 1.0 Sfold = 735.3534248891284 Sfnew = 756.6041989731431 Sold = -194.04547084262492, Snew = -194.03792921353477 Snew - Sold = 0.007541629090155766 6.565582 seconds (432.59 k allocations: 41.146 MiB, 0.07% gc time) 7 plaq_t = 0.5997670706820959 acceptance ratio 1.0 Sfold = 733.0632581893741 Sfnew = 761.1058966324017 Sold = -168.49912354586934, Snew = -168.53061066767714 Snew - Sold = -0.03148712180779967 6.818382 seconds (446.77 k allocations: 42.484 MiB, 0.08% gc time) 8 plaq_t = 0.601309686537795 acceptance ratio 1.0 Sfold = 784.4511929129053 Sfnew = 743.4522437457293 Sold = -214.46842495857436, Snew = -214.2127895354721 Snew - Sold = 0.2556354231022624 6.796321 seconds (438.26 k allocations: 41.681 MiB, 0.07% gc time) 9 plaq_t = 0.5984208434746044 acceptance ratio 1.0 Sfold = 760.9279205001168 Sfnew = 740.460479686957 Sold = -123.21917886360905, Snew = -123.24283277378083 Snew - Sold = -0.023653910171788084 6.730187 seconds (433.90 k allocations: 41.268 MiB, 0.15% gc time) 10 plaq_t = 0.588089613613768 acceptance ratio 1.0 Nf = 4 Sfold = 377.3020475458616 + 0.0im Sfold = 361.22849451219776 Sfnew = 369.5485069689584 Sold = -564.3718241141823, Snew = -564.3520724161094 Snew - Sold = 0.019751698072923318 7.375270 seconds (508.61 k allocations: 46.506 MiB, 0.51% gc time, 7.15% compilation time) 1 plaq_t = 0.5861436968568972 acceptance ratio 1.0 Sfold = 407.1310768353867 Sfnew = 386.89392278747425 Sold = -474.4365160405921, Snew = -474.2857894321079 Snew - Sold = 0.15072660848420583 7.286311 seconds (480.04 k allocations: 45.628 MiB, 0.15% gc time) 2 plaq_t = 0.5861436968568972 acceptance ratio 0.5 Sfold = 388.1480707291558 Sfnew = 411.6107049674274 Sold = -451.8993309750976, Snew = -451.93620023029143 Snew - Sold = -0.036869255193835215 6.888977 seconds (462.88 k allocations: 44.006 MiB, 0.07% gc time) 3 plaq_t = 0.5885353908204688 acceptance ratio 0.6666666666666666 Sfold = 359.6830684486855 Sfnew = 376.74516745159934 Sold = -428.08448812444783, Snew = -428.12996380769965 Snew - Sold = -0.04547568325182283 6.898932 seconds (456.30 k allocations: 43.385 MiB, 0.07% gc time) 4 plaq_t = 0.5760089915387556 acceptance ratio 0.75 Sfold = 372.7785915315616 Sfnew = 403.25327673714054 Sold = -386.44345320531295, Snew = -386.49285521632265 Snew - Sold = -0.04940201100970398 7.254170 seconds (466.67 k allocations: 44.364 MiB, 0.06% gc time) 5 plaq_t = 0.5799158953022397 acceptance ratio 0.8 Sfold = 365.5278823040454 Sfnew = 370.49078132056195 Sold = -375.5766303863546, Snew = -375.697787378779 Snew - Sold = -0.12115699242440314 7.089407 seconds (472.39 k allocations: 44.905 MiB, 0.07% gc time) 6 plaq_t = 0.5705451794760071 acceptance ratio 0.8333333333333334 Sfold = 375.4155893454452 Sfnew = 377.68958811769636 Sold = -446.3194124370895, Snew = -446.30828016583763 Snew - Sold = 0.01113227125188132 7.367615 seconds (471.07 k allocations: 44.780 MiB, 0.12% gc time) 7 plaq_t = 0.5770755896147562 acceptance ratio 0.8571428571428571 Sfold = 393.1370503838673 Sfnew = 370.3529670536102 Sold = -512.936488278581, Snew = -512.8248106586823 Snew - Sold = 0.11167761989872815 7.089600 seconds (453.97 k allocations: 43.164 MiB, 0.06% gc time) 8 plaq_t = 0.5810865602655004 acceptance ratio 0.875 Sfold = 397.93863791433137 Sfnew = 387.9226953463841 Sold = -506.49371862047906, Snew = -506.3462634368269 Snew - Sold = 0.14745518365214139 6.338522 seconds (407.50 k allocations: 38.777 MiB, 0.08% gc time) 9 plaq_t = 0.5908078956334589 acceptance ratio 0.8888888888888888 Sfold = 392.11988557623096 Sfnew = 378.63612677916694 Sold = -386.8262807873329, Snew = -387.02296062735445 Snew - Sold = -0.19667984002154526 7.058405 seconds (458.85 k allocations: 43.625 MiB, 0.07% gc time) 10 plaq_t = 0.5641371490734736 acceptance ratio 0.9 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 = 774.9947529893622 + 0.0im Sfold = 770.3567496584523 Sfnew = 781.0151848526219 Sold = 117.49966347015231, Snew = 117.47000396304054 Snew - Sold = -0.029659507111773564 11.795227 seconds (847.65 k allocations: 90.603 MiB, 0.26% gc time, 17.63% compilation time) 1 plaq_t = 0.5634044328660793 acceptance ratio 1.0 Sfold = 784.1406000251554 Sfnew = 783.8777401265137 Sold = 102.59339352855841, Snew = 102.56585511756236 Snew - Sold = -0.02753841099604415 9.585397 seconds (607.90 k allocations: 75.703 MiB, 0.10% gc time) 2 plaq_t = 0.5573303146093506 acceptance ratio 1.0 Sfold = 791.8186278421321 Sfnew = 788.9959414791693 Sold = 153.62895021893735, Snew = 153.5774762930406 Snew - Sold = -0.05147392589674382 9.906436 seconds (627.88 k allocations: 77.581 MiB, 0.10% gc time) 3 plaq_t = 0.5603342825702059 acceptance ratio 1.0 Sfold = 788.7466830214597 Sfnew = 791.4568015988698 Sold = 255.37329554895393, Snew = 255.41012658740692 Snew - Sold = 0.03683103845298774 9.520707 seconds (610.71 k allocations: 75.966 MiB, 0.10% gc time) 4 plaq_t = 0.5505632961397391 acceptance ratio 1.0 Sfold = 739.2825984100576 Sfnew = 752.4696430410091 Sold = 137.5870884596901, Snew = 137.57475388150635 Snew - Sold = -0.012334578183754275 9.342955 seconds (600.53 k allocations: 75.006 MiB, 0.11% gc time) 5 plaq_t = 0.5615751584385678 acceptance ratio 1.0 Sfold = 764.6217821874496 Sfnew = 756.7521945702613 Sold = 165.2857382698702, Snew = 165.2807295108198 Snew - Sold = -0.00500875905038356 9.322839 seconds (590.77 k allocations: 74.087 MiB, 0.11% gc time) 6 plaq_t = 0.5646400929561831 acceptance ratio 1.0 Sfold = 805.3785341610902 Sfnew = 796.8294554680681 Sold = 57.97006719058675, Snew = 58.002302921762066 Snew - Sold = 0.032235731175319415 8.809455 seconds (562.80 k allocations: 71.455 MiB, 0.12% gc time) 7 plaq_t = 0.5746193643954662 acceptance ratio 1.0 Sfold = 816.7194239802607 Sfnew = 824.1539071428127 Sold = -34.92224919973296, Snew = -34.99999737048677 Snew - Sold = -0.07774817075380724 8.562813 seconds (533.22 k allocations: 68.672 MiB, 0.12% gc time) 8 plaq_t = 0.5741276749162318 acceptance ratio 1.0 Sfold = 763.0024730117349 Sfnew = 749.0152287396975 Sold = -165.82081630031223, Snew = -165.76910788185182 Snew - Sold = 0.0517084184604073 7.988185 seconds (510.60 k allocations: 66.543 MiB, 0.13% gc time) 9 plaq_t = 0.5810177671500232 acceptance ratio 1.0 Sfold = 790.8097105895567 Sfnew = 795.6050925820484 Sold = 30.244597701033854, Snew = 30.192148291467902 Snew - Sold = -0.05244940956595201 8.347143 seconds (531.21 k allocations: 68.483 MiB, 0.06% gc time) 10 plaq_t = 0.5607464082113477 acceptance ratio 1.0 -0.5851494995039543 + 0.5046795204935942im BICG -------------------------------------- bicg method 1-th eps: 581.0243048316597 2-th eps: 181.94152708376066 3-th eps: 72.07228256117095 4-th eps: 33.5285805164679 5-th eps: 16.713717333228015 6-th eps: 8.4874769203471 7-th eps: 4.569010021797451 8-th eps: 2.954646335827346 9-th eps: 1.593198666486042 10-th eps: 0.4106868945756471 11-th eps: 0.07169188767995326 12-th eps: 0.012731598100421683 13-th eps: 0.002587460710030344 14-th eps: 0.0005173972178179831 15-th eps: 0.00010267257966623901 16-th eps: 1.462334615750722e-5 17-th eps: 1.510697821063374e-6 18-th eps: 6.019437090331016e-8 19-th eps: 5.301266339904696e-11 Converged at 19-th step. eps: 5.301266339904696e-11 -------------------------------------- 0.445517 seconds (35.12 k allocations: 2.326 MiB, 78.18% compilation time) 3638.0117864590284 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 84.45059130253841 2-th eps: 11.394178100754473 3-th eps: 8.965063315293488 4-th eps: 0.29139320665041624 5-th eps: 0.07321313751182326 6-th eps: 0.02175982336605376 7-th eps: 0.047684145867860725 8-th eps: 0.015538702976606984 9-th eps: 0.00028277962197944113 10-th eps: 0.027504446978301605 11-th eps: 0.0002321017159257558 12-th eps: 3.133427504808528e-5 13-th eps: 2.4581827278287846e-6 14-th eps: 3.724615422711695e-7 15-th eps: 9.249722272659475e-9 16-th eps: 9.554505178507236e-13 Converged at 16-th step. eps: 9.554505178507236e-13 -------------------------------------- 0.367790 seconds (34.15 k allocations: 2.204 MiB, 76.25% compilation time) 3638.011665783819 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 581.0243048316597 2-th eps: 181.94152708376066 3-th eps: 72.07228256117095 4-th eps: 33.5285805164679 5-th eps: 16.713717333228015 6-th eps: 8.4874769203471 7-th eps: 4.569010021797451 8-th eps: 2.954646335827346 9-th eps: 1.593198666486042 10-th eps: 0.4106868945756471 11-th eps: 0.07169188767995326 12-th eps: 0.012731598100421683 13-th eps: 0.002587460710030344 14-th eps: 0.0005173972178179831 15-th eps: 0.00010267257966623901 16-th eps: 1.462334615750722e-5 17-th eps: 1.510697821063374e-6 18-th eps: 6.019437090331016e-8 19-th eps: 5.301266339904696e-11 Converged at 19-th step. eps: 5.301266339904696e-11 -------------------------------------- 0.092815 seconds (2.87 k allocations: 252.844 KiB) 3638.0117864590284 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 84.45059130253841 2-th eps: 11.394178100754473 3-th eps: 8.965063315293488 4-th eps: 0.29139320665041624 5-th eps: 0.07321313751182326 6-th eps: 0.02175982336605376 7-th eps: 0.047684145867860725 8-th eps: 0.015538702976606984 9-th eps: 0.00028277962197944113 10-th eps: 0.027504446978301605 11-th eps: 0.0002321017159257558 12-th eps: 3.133427504808528e-5 13-th eps: 2.4581827278287846e-6 14-th eps: 3.724615422711695e-7 15-th eps: 9.249722272659475e-9 16-th eps: 9.554505178507236e-13 Converged at 16-th step. eps: 9.554505178507236e-13 -------------------------------------- 0.086144 seconds (2.82 k allocations: 243.750 KiB) 3638.011665783819 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 581.0243048316597 2-th eps: 181.94152708376066 3-th eps: 72.07228256117095 4-th eps: 33.5285805164679 5-th eps: 16.713717333228015 6-th eps: 8.4874769203471 7-th eps: 4.569010021797451 8-th eps: 2.954646335827346 9-th eps: 1.593198666486042 10-th eps: 0.4106868945756471 11-th eps: 0.07169188767995326 12-th eps: 0.012731598100421683 13-th eps: 0.002587460710030344 14-th eps: 0.0005173972178179831 15-th eps: 0.00010267257966623901 16-th eps: 1.462334615750722e-5 17-th eps: 1.510697821063374e-6 18-th eps: 6.019437090331016e-8 19-th eps: 5.301266339904696e-11 Converged at 19-th step. eps: 5.301266339904696e-11 -------------------------------------- 0.095132 seconds (2.87 k allocations: 252.844 KiB) 3638.0117864590284 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 84.45059130253841 2-th eps: 11.394178100754473 3-th eps: 8.965063315293488 4-th eps: 0.29139320665041624 5-th eps: 0.07321313751182326 6-th eps: 0.02175982336605376 7-th eps: 0.047684145867860725 8-th eps: 0.015538702976606984 9-th eps: 0.00028277962197944113 10-th eps: 0.027504446978301605 11-th eps: 0.0002321017159257558 12-th eps: 3.133427504808528e-5 13-th eps: 2.4581827278287846e-6 14-th eps: 3.724615422711695e-7 15-th eps: 9.249722272659475e-9 16-th eps: 9.554505178507236e-13 Converged at 16-th step. eps: 9.554505178507236e-13 -------------------------------------- 0.089349 seconds (2.82 k allocations: 243.750 KiB) 3638.011665783819 + 0.0im Sfold = 3081.1024846959485 + 0.0im -------------------------------------- cg method 1-th eps: 605.5387715530343 2-th eps: 159.2570893510127 3-th eps: 53.196299294570856 4-th eps: 18.620984440561728 5-th eps: 6.794630178734071 6-th eps: 2.3449404433034657 7-th eps: 1.0781188962180432 8-th eps: 0.5691595562775781 9-th eps: 0.5842908642415015 10-th eps: 0.28956941824948607 11-th eps: 0.054213213392444864 12-th eps: 0.010231454390636538 13-th eps: 0.002350926890411555 14-th eps: 0.00032487734095523974 15-th eps: 8.600827591341816e-5 16-th eps: 1.0974170717588805e-5 17-th eps: 1.246429315224596e-6 18-th eps: 6.76618767710831e-8 19-th eps: 4.9524884977442536e-11 20-th eps: 9.718584345826688e-20 Converged at 20-th step. eps: 9.718584345826688e-20 -------------------------------------- -------------------------------------- bicg method 1-th eps: 134.38657690749992 2-th eps: 51.643316422116094 3-th eps: 22.334347767943715 4-th eps: 10.673741738398995 5-th eps: 5.341920920615485 6-th eps: 2.7879345960002913 7-th eps: 1.6233678935506277 8-th eps: 1.0708729831748132 9-th eps: 0.40823293766993923 10-th eps: 0.06530831915626642 11-th eps: 0.011770949895365255 12-th eps: 0.0022008023493169625 13-th eps: 0.000473068413438166 14-th eps: 0.00010977840797388951 15-th eps: 1.5915394744285632e-5 16-th eps: 2.4105222151468156e-6 17-th eps: 1.7659108314319577e-7 18-th eps: 3.4916743187034833e-9 19-th eps: 1.619778124495863e-12 20-th eps: 5.812137117273961e-18 21-th eps: 4.801637386580399e-26 Converged at 21-th step. eps: 4.801637386580399e-26 -------------------------------------- Sfnew = 3081.1024846959517 Test Summary: | Pass Total Time LatticeDiracOperators.jl | 22 22 8m04.3s Testing LatticeDiracOperators tests passed Testing completed after 509.72s PkgEval succeeded after 633.76s