Package evaluation to test LatticeDiracOperators on Julia 1.11.7 (58327cce5e*) started at 2025-10-29T00:59:35.864 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 8.48s ################################################################################ # Installation # Installing LatticeDiracOperators... Resolving package versions... Installed LatticeDiracOperators ─ v0.5.7 Installed Gaugefields ─────────── v0.6.11 Updating `~/.julia/environments/v1.11/Project.toml` [019239df] + LatticeDiracOperators v0.5.7 Updating `~/.julia/environments/v1.11/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 v0.1.12 [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 v1.2.1 [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 v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays 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 v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [3a97d323] + MPFR_jll v4.2.1+0 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.5+0 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Installation completed after 11.71s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 131.02s ################################################################################ # Testing # Testing LatticeDiracOperators Status `/tmp/jl_ct34Ju/Project.toml` [a461e10c] Gaugefields v0.6.11 [0979c8fe] JACC v0.5.0 ⌅ [033835bb] JLD2 v0.5.15 [019239df] LatticeDiracOperators v0.5.7 [dd6a91e4] LatticeMatrices v0.1.12 [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 v1.11.0 [9a3f8284] Random v1.11.0 [2f01184e] SparseArrays v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_ct34Ju/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 v0.1.12 [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 v1.2.1 [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 v1.6.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.11.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.2.0 [44cfe95a] Pkg v1.11.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays 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 v1.1.1+0 [781609d7] GMP_jll v6.3.0+0 [deac9b47] LibCURL_jll v8.6.0+0 [e37daf67] LibGit2_jll v1.7.2+0 [29816b5a] LibSSH2_jll v1.11.0+1 [3a97d323] MPFR_jll v4.2.1+0 [c8ffd9c3] MbedTLS_jll v2.28.6+0 [14a3606d] MozillaCACerts_jll v2023.12.12 [4536629a] OpenBLAS_jll v0.3.27+1 [05823500] OpenLibm_jll v0.8.5+0 [bea87d4a] SuiteSparse_jll v7.7.0+0 [83775a58] Zlib_jll v1.2.13+1 [8e850b90] libblastrampoline_jll v5.11.0+0 [8e850ede] nghttp2_jll v1.59.0+0 [3f19e933] p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... Domainwall 4D DW 12609.115068664023 scaled Shamir kernel (Mobius DW) is used 12411.993737943825 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 = 10.891277509328434 + 0.0im Sfold = 15.27692222406016 Sfnew = 13.81512523451688 Sold = -58.670432566169126, Snew = -58.693740686591994 Snew - Sold = -0.023308120422868228 1.746538 seconds (640.12 k allocations: 35.029 MiB, 3.52% gc time, 99.44% compilation time) 1 plaq_t = 0.1595108201557573 acceptance ratio 1.0 Sfold = 11.293728736593952 Sfnew = 12.17427759435608 Sold = -61.93028117224031, Snew = -61.92703878528927 Snew - Sold = 0.0032423869510438408 0.008358 seconds (22.30 k allocations: 2.090 MiB) 2 plaq_t = 0.1611791165804969 acceptance ratio 1.0 Sfold = 19.86403816476848 Sfnew = 20.361683074717114 Sold = -49.75432156881221, Snew = -49.76342782443371 Snew - Sold = -0.009106255621503578 0.008031 seconds (22.25 k allocations: 2.088 MiB) 3 plaq_t = 0.15747035081369684 acceptance ratio 1.0 Sfold = 18.708508475374135 Sfnew = 19.64247619860925 Sold = -44.291348718605676, Snew = -44.27973581342222 Snew - Sold = 0.011612905183454814 0.007561 seconds (22.25 k allocations: 2.087 MiB) 4 plaq_t = 0.15677064716279424 acceptance ratio 1.0 Sfold = 15.74900482280411 Sfnew = 14.60808251492771 Sold = -51.188121904494295, Snew = -51.18369468936594 Snew - Sold = 0.004427215128352202 0.007505 seconds (22.28 k allocations: 2.089 MiB) 5 plaq_t = 0.1573672330480479 acceptance ratio 1.0 Sfold = 21.18826234788807 Sfnew = 20.403737949377252 Sold = -46.9460594986834, Snew = -46.94734792483232 Snew - Sold = -0.0012884261489247706 0.007764 seconds (22.23 k allocations: 2.086 MiB) 6 plaq_t = 0.15436171948233485 acceptance ratio 1.0 Sfold = 17.593315423047642 Sfnew = 16.570783012783057 Sold = -56.03394247756603, Snew = -56.02534772802245 Snew - Sold = 0.008594749543576086 0.007943 seconds (22.30 k allocations: 2.090 MiB) 7 plaq_t = 0.15889483817186204 acceptance ratio 1.0 Sfold = 20.975649293602988 Sfnew = 20.67632437853516 Sold = -46.6832379446501, Snew = -46.67911124940211 Snew - Sold = 0.004126695247990142 0.007539 seconds (22.29 k allocations: 2.089 MiB) 8 plaq_t = 0.15965794056383745 acceptance ratio 1.0 Sfold = 14.403012066064663 Sfnew = 15.546373732518578 Sold = -55.152416845048805, Snew = -55.15802093802496 Snew - Sold = -0.005604092976156494 0.007986 seconds (22.30 k allocations: 2.090 MiB) 9 plaq_t = 0.16195934356891895 acceptance ratio 1.0 Sfold = 17.264520085446303 Sfnew = 16.429021205721483 Sold = -52.71309326070242, Snew = -52.72570538742512 Snew - Sold = -0.012612126722700623 0.007996 seconds (22.29 k allocations: 2.089 MiB) 10 plaq_t = 0.15839084150144933 acceptance ratio 1.0 Nf = 2 Sfold = 7.728910104954883 + 0.0im Sfold = 7.99598432214101 Sfnew = 6.495404061546821 Sold = -65.39942949247191, Snew = -65.3857642024885 Snew - Sold = 0.013665289983407547 0.008285 seconds (22.95 k allocations: 2.150 MiB) 1 plaq_t = 0.1592472072585827 acceptance ratio 1.0 Sfold = 4.660051046622809 Sfnew = 4.222030823919033 Sold = -65.80380939210315, Snew = -65.81070594072939 Snew - Sold = -0.0068965486262442255 0.008506 seconds (22.92 k allocations: 2.149 MiB) 2 plaq_t = 0.15646498937930142 acceptance ratio 1.0 Sfold = 5.71668640218697 Sfnew = 5.644404385052284 Sold = -61.93830351018787, Snew = -61.92998987291669 Snew - Sold = 0.008313637271179175 0.008239 seconds (22.93 k allocations: 2.150 MiB) 3 plaq_t = 0.15634647904517174 acceptance ratio 1.0 Sfold = 4.586514936038466 Sfnew = 4.541811863616532 Sold = -61.115415293813896, Snew = -61.127131567642195 Snew - Sold = -0.01171627382829854 0.008962 seconds (22.84 k allocations: 2.145 MiB) 4 plaq_t = 0.1545782543522614 acceptance ratio 1.0 Sfold = 4.535475987828335 Sfnew = 5.19087327572259 Sold = -64.68502491787638, Snew = -64.68789255346786 Snew - Sold = -0.0028676355914853957 0.009320 seconds (22.89 k allocations: 2.148 MiB) 5 plaq_t = 0.15401392888167834 acceptance ratio 1.0 Sfold = 10.179908896307342 Sfnew = 11.95278088452922 Sold = -46.484422001153476, Snew = -46.49243302601528 Snew - Sold = -0.008011024861801275 0.044890 seconds (22.91 k allocations: 2.149 MiB, 80.79% gc time) 6 plaq_t = 0.1538409661035925 acceptance ratio 1.0 Sfold = 6.205003588308951 Sfnew = 5.08872265012877 Sold = -64.15490455343638, Snew = -64.15348786442433 Snew - Sold = 0.0014166890120463904 0.008100 seconds (22.90 k allocations: 2.148 MiB) 7 plaq_t = 0.15276878879717914 acceptance ratio 1.0 Sfold = 7.432989700252292 Sfnew = 7.888498321807225 Sold = -58.026447186855634, Snew = -58.00814347045435 Snew - Sold = 0.018303716401284476 0.007929 seconds (22.86 k allocations: 2.146 MiB) 8 plaq_t = 0.15799676124779885 acceptance ratio 1.0 Sfold = 10.448226153921823 Sfnew = 12.442344163182783 Sold = -49.81047899258909, Snew = -49.83002576570818 Snew - Sold = -0.01954677311908881 0.008013 seconds (22.83 k allocations: 2.145 MiB) 9 plaq_t = 0.15284186234705224 acceptance ratio 1.0 Sfold = 17.201328528367576 Sfnew = 16.018760782925344 Sold = -43.62100203912093, Snew = -43.61418231927634 Snew - Sold = 0.006819719844592953 0.007974 seconds (22.86 k allocations: 2.146 MiB) 10 plaq_t = 0.15252051036870745 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 = 8.854377219228923 + 0.0im Sfold = 19.767315631315647 Sfnew = 19.54903150967236 Sold = -46.24005986452401, Snew = -46.24098509141072 Snew - Sold = -0.0009252268867143698 0.119201 seconds (45.66 k allocations: 4.687 MiB, 83.43% compilation time) 1 plaq_t = 0.15273196981759657 acceptance ratio 1.0 Sfold = 15.125616223112438 Sfnew = 19.531205758020402 Sold = -37.39888477305944, Snew = -37.3989994706139 Snew - Sold = -0.00011469755445858709 0.018221 seconds (44.74 k allocations: 4.647 MiB) 2 plaq_t = 0.15397757270198176 acceptance ratio 1.0 Sfold = 13.995263776611093 Sfnew = 13.73468410775437 Sold = -50.60248639510296, Snew = -50.596725395923876 Snew - Sold = 0.005760999179081239 0.017656 seconds (44.79 k allocations: 4.649 MiB) 3 plaq_t = 0.15456378930168138 acceptance ratio 1.0 Sfold = 18.915307881641397 Sfnew = 18.31443421541571 Sold = -44.41035353357201, Snew = -44.43448772976006 Snew - Sold = -0.024134196188050794 0.017649 seconds (44.83 k allocations: 4.651 MiB) 4 plaq_t = 0.14806909660582698 acceptance ratio 1.0 Sfold = 12.431127911773594 Sfnew = 12.669986969662917 Sold = -46.89143455489344, Snew = -46.87944773210796 Snew - Sold = 0.01198682278548091 0.017305 seconds (44.84 k allocations: 4.652 MiB) 5 plaq_t = 0.15192854906338232 acceptance ratio 1.0 Sfold = 13.58361817396722 Sfnew = 13.591687088041668 Sold = -53.709320714452176, Snew = -53.71153122304291 Snew - Sold = -0.0022105085907355715 0.033653 seconds (44.85 k allocations: 4.652 MiB, 47.58% gc time) 6 plaq_t = 0.15212121556629543 acceptance ratio 1.0 Sfold = 16.07999787833053 Sfnew = 15.461521810834892 Sold = -53.019177606128096, Snew = -53.012690152069965 Snew - Sold = 0.006487454058131448 0.018179 seconds (44.85 k allocations: 4.652 MiB) 7 plaq_t = 0.15205261172959594 acceptance ratio 1.0 Sfold = 16.346152829984785 Sfnew = 16.112488366448435 Sold = -48.60231525016951, Snew = -48.616048292150666 Snew - Sold = -0.01373304198115477 0.017285 seconds (44.88 k allocations: 4.653 MiB) 8 plaq_t = 0.1469901751851517 acceptance ratio 1.0 Sfold = 15.640273844255494 Sfnew = 16.67080697924736 Sold = -43.58815110588545, Snew = -43.577549320666854 Snew - Sold = 0.010601785218597115 0.017266 seconds (44.83 k allocations: 4.651 MiB) 9 plaq_t = 0.15009010335201084 acceptance ratio 1.0 Sfold = 15.327268073271041 Sfnew = 16.441309341987843 Sold = -50.05898640849662, Snew = -50.064844049097644 Snew - Sold = -0.005857640601021785 0.017296 seconds (44.81 k allocations: 4.650 MiB) 10 plaq_t = 0.15138602778907173 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 = 28.12088194164353 + 0.0im Sfold = 29.582003217875435 Sfnew = 26.89856121187425 Sold = -6.1545017401869195, Snew = -6.164533525551018 Snew - Sold = -0.010031785364098766 3.578138 seconds (1.28 M allocations: 68.346 MiB, 1.37% gc time, 99.60% compilation time) 1 plaq_t = 0.14241061191354837 acceptance ratio 1.0 Sfold = 28.627219375977678 Sfnew = 29.159083504934475 Sold = 0.23620123573077123, Snew = 0.2312931070799671 Snew - Sold = -0.004908128650804144 0.011744 seconds (22.29 k allocations: 2.090 MiB) 2 plaq_t = 0.13042439318724425 acceptance ratio 1.0 Sfold = 35.34171705003679 Sfnew = 32.76073059989873 Sold = 12.604294078766614, Snew = 12.61555022907148 Snew - Sold = 0.011256150304866708 0.011755 seconds (22.22 k allocations: 2.087 MiB) 3 plaq_t = 0.13695362704078928 acceptance ratio 1.0 Sfold = 32.314279650198856 Sfnew = 34.50652001329104 Sold = 14.103524012999458, Snew = 14.102634831472798 Snew - Sold = -0.0008891815266593994 0.011906 seconds (22.24 k allocations: 2.087 MiB) 4 plaq_t = 0.14137294000765466 acceptance ratio 1.0 Sfold = 30.572267963213896 Sfnew = 29.623417852242493 Sold = 0.7747066401201366, Snew = 0.767631252229382 Snew - Sold = -0.00707538789075457 0.011814 seconds (22.26 k allocations: 2.089 MiB) 5 plaq_t = 0.12336053478273164 acceptance ratio 1.0 Sfold = 36.07203855222256 Sfnew = 37.76134528744829 Sold = 29.562761188483968, Snew = 29.56037401929983 Snew - Sold = -0.0023871691841392817 0.012202 seconds (22.19 k allocations: 2.085 MiB) 6 plaq_t = 0.12126909297361312 acceptance ratio 1.0 Sfold = 35.68518995556806 Sfnew = 29.540984373495558 Sold = 24.867891810499117, Snew = 24.882668070300863 Snew - Sold = 0.014776259801745795 0.012579 seconds (22.20 k allocations: 2.086 MiB) 7 plaq_t = 0.12932814079432914 acceptance ratio 1.0 Sfold = 23.010613940358272 Sfnew = 20.636309873634804 Sold = 4.158516775567538, Snew = 4.150421199688285 Snew - Sold = -0.008095575879252692 0.037185 seconds (22.26 k allocations: 2.089 MiB, 68.42% gc time) 8 plaq_t = 0.12017137000151343 acceptance ratio 1.0 Sfold = 29.14336262213203 Sfnew = 28.236373626470602 Sold = 15.065494162767742, Snew = 15.064370023324884 Snew - Sold = -0.001124139442858052 0.011054 seconds (22.26 k allocations: 2.088 MiB) 9 plaq_t = 0.11718333007255723 acceptance ratio 1.0 Sfold = 27.670225849298905 Sfnew = 32.88430730195229 Sold = 15.143223944328906, Snew = 15.145485564661456 Snew - Sold = 0.002261620332550507 0.010707 seconds (22.23 k allocations: 2.087 MiB) 10 plaq_t = 0.1272549938214717 acceptance ratio 1.0 Nf = 2 Sfold = 6.986560180788688 + 0.0im Sfold = 16.918384702526396 Sfnew = 15.827343442516502 Sold = -1.1651599940454673, Snew = -1.1533528267982316 Snew - Sold = 0.01180716724723574 0.014057 seconds (22.85 k allocations: 2.147 MiB) 1 plaq_t = 0.13130372011090932 acceptance ratio 1.0 Sfold = 19.47719939955367 Sfnew = 16.489344434100953 Sold = 1.3735956406412129, Snew = 1.374061626565645 Snew - Sold = 0.000465985924432033 0.011823 seconds (22.86 k allocations: 2.147 MiB) 2 plaq_t = 0.12891051349855803 acceptance ratio 1.0 Sfold = 11.506791706772283 Sfnew = 11.388345667666401 Sold = -17.210874264128698, Snew = -17.207845642824466 Snew - Sold = 0.003028621304231649 0.011531 seconds (22.88 k allocations: 2.148 MiB) 3 plaq_t = 0.13381453523171966 acceptance ratio 1.0 Sfold = 15.2082779844393 Sfnew = 13.041090459065567 Sold = -2.517899605972991, Snew = -2.522504217409695 Snew - Sold = -0.004604611436704431 0.012212 seconds (22.87 k allocations: 2.147 MiB) 4 plaq_t = 0.12415484879359787 acceptance ratio 1.0 Sfold = 8.690497250282055 Sfnew = 12.12581480361518 Sold = -5.060052694161749, Snew = -5.061221447468645 Snew - Sold = -0.001168753306895809 0.013226 seconds (22.84 k allocations: 2.146 MiB) 5 plaq_t = 0.1282653129527912 acceptance ratio 1.0 Sfold = 11.288294062491099 Sfnew = 11.769734755919922 Sold = -7.758365365881891, Snew = -7.759721230355629 Snew - Sold = -0.001355864473737256 0.011379 seconds (22.89 k allocations: 2.148 MiB) 6 plaq_t = 0.13173306642549765 acceptance ratio 1.0 Sfold = 13.486486746647921 Sfnew = 13.626925261332955 Sold = -19.93331567396266, Snew = -19.92765582023 Snew - Sold = 0.005659853732659315 0.011985 seconds (22.85 k allocations: 2.146 MiB) 7 plaq_t = 0.12960863201686412 acceptance ratio 1.0 Sfold = 10.405984635037937 Sfnew = 9.70774162754695 Sold = -8.078415967347611, Snew = -8.077068730303639 Snew - Sold = 0.001347237043972882 0.011860 seconds (22.85 k allocations: 2.147 MiB) 8 plaq_t = 0.13032227951957487 acceptance ratio 1.0 Sfold = 16.020493422321618 Sfnew = 16.48637406930549 Sold = 1.4620477424520537, Snew = 1.4575896631376324 Snew - Sold = -0.004458079314421326 0.011983 seconds (22.86 k allocations: 2.147 MiB) 9 plaq_t = 0.118859580712757 acceptance ratio 1.0 Sfold = 16.266505266608263 Sfnew = 17.931458556416604 Sold = 8.998519055292789, Snew = 9.001043054000792 Snew - Sold = 0.002523998708003461 0.011798 seconds (22.84 k allocations: 2.146 MiB) 10 plaq_t = 0.13657210297151548 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 = 28.29768297357175 + 0.0im Sfold = 33.52422739244088 Sfnew = 36.906127679835194 Sold = 17.281071800602803, Snew = 17.267475396115643 Snew - Sold = -0.01359640448715993 0.042535 seconds (44.77 k allocations: 5.117 MiB, 28.97% compilation time) 1 plaq_t = 0.11939083979094478 acceptance ratio 1.0 Sfold = 39.473270765098206 Sfnew = 42.3752901619364 Sold = 35.91115280319951, Snew = 35.9026875196811 Snew - Sold = -0.008465283518411582 0.045236 seconds (44.72 k allocations: 5.116 MiB, 32.04% gc time) 2 plaq_t = 0.11671562427737131 acceptance ratio 1.0 Sfold = 35.17591126412643 Sfnew = 36.08774915375139 Sold = 28.383400841259558, Snew = 28.387642868964633 Snew - Sold = 0.004242027705075202 0.030283 seconds (44.73 k allocations: 5.116 MiB) 3 plaq_t = 0.12339576117385176 acceptance ratio 1.0 Sfold = 31.39040913588003 Sfnew = 32.74005310258802 Sold = 27.253958720835765, Snew = 27.264924633131443 Snew - Sold = 0.010965912295677782 0.030331 seconds (44.77 k allocations: 5.118 MiB) 4 plaq_t = 0.137503716245562 acceptance ratio 1.0 Sfold = 46.37988384678183 Sfnew = 45.86170615779812 Sold = 16.629591632992458, Snew = 16.63337137246109 Snew - Sold = 0.003779739468633636 0.030560 seconds (44.80 k allocations: 5.119 MiB) 5 plaq_t = 0.141876744400605 acceptance ratio 1.0 Sfold = 37.568453135838524 Sfnew = 38.393924933638296 Sold = 17.844151260305907, Snew = 17.84312441468699 Snew - Sold = -0.0010268456189166386 0.030419 seconds (44.80 k allocations: 5.119 MiB) 6 plaq_t = 0.1348851406276631 acceptance ratio 1.0 Sfold = 26.876190943189318 Sfnew = 26.239245435174542 Sold = 10.997627456857007, Snew = 10.991171985444826 Snew - Sold = -0.0064554714121811685 0.030303 seconds (44.79 k allocations: 5.119 MiB) 7 plaq_t = 0.12161506742247433 acceptance ratio 1.0 Sfold = 39.166382855173936 Sfnew = 38.01075617183454 Sold = 22.347473348994356, Snew = 22.351049217107672 Snew - Sold = 0.0035758681133160053 0.030102 seconds (44.76 k allocations: 5.117 MiB) 8 plaq_t = 0.12720746112992012 acceptance ratio 1.0 Sfold = 34.45202930148613 Sfnew = 33.2966314067804 Sold = 22.426791278707697, Snew = 22.42110486634089 Snew - Sold = -0.005686412366806337 0.029693 seconds (44.77 k allocations: 5.118 MiB) 9 plaq_t = 0.11902788937319671 acceptance ratio 1.0 Sfold = 33.78028218082531 Sfnew = 31.724046006097435 Sold = 22.649888645931803, Snew = 22.64705872270019 Snew - Sold = -0.0028299232316122414 0.030765 seconds (44.75 k allocations: 5.117 MiB) 10 plaq_t = 0.1161179034283599 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 = 46.14651656967677 + 0.0im Sfold = 46.66905578604549 Sfnew = 45.413423130705404 Sold = 106.70559456950043, Snew = 106.65199134464856 Snew - Sold = -0.05360322485186941 6.580203 seconds (2.66 M allocations: 137.892 MiB, 0.36% gc time, 99.49% compilation time) 1 plaq_t = 0.09721031404634299 acceptance ratio 1.0 Sfold = 50.661468269410975 Sfnew = 45.317329637608296 Sold = 118.51885320631472, Snew = 118.51489706469091 Snew - Sold = -0.003956141623802978 0.036191 seconds (52.98 k allocations: 4.968 MiB) 2 plaq_t = 0.08194804123228829 acceptance ratio 1.0 Sfold = 56.501584638994245 Sfnew = 68.39954400058106 Sold = 135.46754488480818, Snew = 135.45756096093646 Snew - Sold = -0.009983923871715206 0.057014 seconds (52.99 k allocations: 4.969 MiB, 36.82% gc time) 3 plaq_t = 0.09275711585704065 acceptance ratio 1.0 Sfold = 45.97422354407758 Sfnew = 50.55629459272447 Sold = 140.0987235441922, Snew = 140.106621369908 Snew - Sold = 0.007897825715787121 0.035955 seconds (53.13 k allocations: 4.979 MiB) 4 plaq_t = 0.08323730819928671 acceptance ratio 1.0 Sfold = 43.328704998694036 Sfnew = 39.49703462040781 Sold = 116.32663345175791, Snew = 116.33306904404478 Snew - Sold = 0.006435592286862857 0.037359 seconds (53.13 k allocations: 4.975 MiB) 5 plaq_t = 0.09155929656075829 acceptance ratio 1.0 Sfold = 37.4998230497199 Sfnew = 38.06708993837013 Sold = 106.99425858052663, Snew = 106.99089528707445 Snew - Sold = -0.0033632934521818925 0.037678 seconds (53.07 k allocations: 4.972 MiB) 6 plaq_t = 0.09136233415667853 acceptance ratio 1.0 Sfold = 41.15196907164429 Sfnew = 45.867327068157984 Sold = 125.1952985169421, Snew = 125.17565641641667 Snew - Sold = -0.019642100525430806 0.036992 seconds (53.03 k allocations: 4.970 MiB) 7 plaq_t = 0.08040103774179931 acceptance ratio 1.0 Sfold = 40.03836718147803 Sfnew = 47.057859704157025 Sold = 129.44261065425226, Snew = 129.44727576991784 Snew - Sold = 0.004665115665574149 0.040738 seconds (52.89 k allocations: 4.964 MiB) 8 plaq_t = 0.10640098390158055 acceptance ratio 1.0 Sfold = 51.84438323640369 Sfnew = 51.670973774721126 Sold = 117.08608570096428, Snew = 117.0938158405936 Snew - Sold = 0.007730139629330779 0.038053 seconds (52.80 k allocations: 4.960 MiB) 9 plaq_t = 0.0835419249750937 acceptance ratio 1.0 Sfold = 44.958811275740615 Sfnew = 43.21759730086014 Sold = 137.50258989478624, Snew = 137.51810420599864 Snew - Sold = 0.015514311212399434 0.041352 seconds (52.98 k allocations: 4.968 MiB) 10 plaq_t = 0.08616323028973379 acceptance ratio 1.0 Nf = 2 Sfold = 22.18678007270308 + 0.0im Sfold = 35.143183415838216 Sfnew = 27.64807729807412 Sold = 98.48244077288527, Snew = 98.53118832455931 Snew - Sold = 0.048747551674040324 0.050427 seconds (54.69 k allocations: 5.132 MiB, 24.02% gc time) 1 plaq_t = 0.08717752666343848 acceptance ratio 1.0 Sfold = 18.879944484127726 Sfnew = 24.254834417476037 Sold = 111.13988068685538, Snew = 111.1154518982437 Snew - Sold = -0.024428788611672303 0.037766 seconds (54.62 k allocations: 5.129 MiB) 2 plaq_t = 0.08809372596226943 acceptance ratio 1.0 Sfold = 24.779453231960257 Sfnew = 20.844672474570064 Sold = 124.4239514001862, Snew = 124.39578351665378 Snew - Sold = -0.028167883532418614 0.038214 seconds (55.23 k allocations: 5.188 MiB) 3 plaq_t = 0.05891774297507584 acceptance ratio 1.0 Sfold = 22.451009802684776 Sfnew = 26.266841706569995 Sold = 131.40508991355367, Snew = 131.36722639619475 Snew - Sold = -0.03786351735891458 0.037331 seconds (55.28 k allocations: 5.193 MiB) 4 plaq_t = 0.05707748521058563 acceptance ratio 1.0 Sfold = 28.055164390992005 Sfnew = 25.450425430273174 Sold = 124.97881923013112, Snew = 124.98553684966218 Snew - Sold = 0.006717619531059427 0.036692 seconds (54.86 k allocations: 5.153 MiB) 5 plaq_t = 0.062221117427940564 acceptance ratio 1.0 Sfold = 22.071358182999337 Sfnew = 20.87783806040852 Sold = 140.69085881807288, Snew = 140.69033649486443 Snew - Sold = -0.0005223232084574647 0.037809 seconds (56.59 k allocations: 5.312 MiB) 6 plaq_t = 0.05384686710712558 acceptance ratio 1.0 Sfold = 19.250755853620827 Sfnew = 21.27240218088581 Sold = 118.99012424859296, Snew = 118.98960952538502 Snew - Sold = -0.0005147232079423247 0.036702 seconds (54.90 k allocations: 5.158 MiB) 7 plaq_t = 0.05973656562235713 acceptance ratio 1.0 Sfold = 30.726137637509023 Sfnew = 25.147436742022595 Sold = 137.1579094062404, Snew = 137.1735696040238 Snew - Sold = 0.015660197783404328 0.047980 seconds (54.97 k allocations: 5.164 MiB, 20.14% gc time) 8 plaq_t = 0.05297505996395971 acceptance ratio 1.0 Sfold = 25.733625071251755 Sfnew = 24.358332547007226 Sold = 121.19014659619593, Snew = 121.20263620750438 Snew - Sold = 0.012489611308453163 0.038291 seconds (54.84 k allocations: 5.149 MiB) 9 plaq_t = 0.07689690256171872 acceptance ratio 1.0 Sfold = 27.246390379787762 Sfnew = 28.83378498091859 Sold = 100.72901805579565, Snew = 100.7107641181593 Snew - Sold = -0.018253937636345086 0.036725 seconds (54.88 k allocations: 5.151 MiB) 10 plaq_t = 0.07105349118680393 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 = 57.76322811185473 + 0.0im Sfold = 58.286664200053785 Sfnew = 63.178142808844854 Sold = 155.07482712033212, Snew = 155.07321070306116 Snew - Sold = -0.0016164172709522973 0.089811 seconds (80.78 k allocations: 8.893 MiB, 15.29% compilation time) 1 plaq_t = 0.07689602163011267 acceptance ratio 1.0 Sfold = 56.548633357003595 Sfnew = 57.1168826781123 Sold = 147.87189366487104, Snew = 147.86577386243601 Snew - Sold = -0.006119802435023303 0.076414 seconds (81.00 k allocations: 8.920 MiB) 2 plaq_t = 0.06817204415323745 acceptance ratio 1.0 Sfold = 52.03764979928308 Sfnew = 50.67981228776797 Sold = 140.07708278053803, Snew = 140.08276388726443 Snew - Sold = 0.005681106726399321 0.087911 seconds (81.29 k allocations: 8.943 MiB, 15.42% gc time) 3 plaq_t = 0.09058588935353667 acceptance ratio 1.0 Sfold = 47.18307043166732 Sfnew = 44.960218754977255 Sold = 121.10265244972393, Snew = 121.1006368735502 Snew - Sold = -0.002015576173732825 0.077180 seconds (82.42 k allocations: 9.045 MiB) 4 plaq_t = 0.08142390882744775 acceptance ratio 1.0 Sfold = 52.21900831471347 Sfnew = 50.17687949432015 Sold = 140.63158278226155, Snew = 140.6309788242421 Snew - Sold = -0.0006039580194396876 0.077436 seconds (83.47 k allocations: 9.150 MiB) 5 plaq_t = 0.07114385496708277 acceptance ratio 1.0 Sfold = 48.70584760001645 Sfnew = 50.55390410545335 Sold = 138.51021890555228, Snew = 138.51380885050136 Snew - Sold = 0.003589944949084156 0.078091 seconds (84.10 k allocations: 9.208 MiB) 6 plaq_t = 0.08122818823104742 acceptance ratio 1.0 Sfold = 42.49557730974729 Sfnew = 41.29714165727205 Sold = 127.18583331803586, Snew = 127.18529938069076 Snew - Sold = -0.0005339373450965468 0.090264 seconds (82.15 k allocations: 9.023 MiB, 11.53% gc time) 7 plaq_t = 0.05995707054919881 acceptance ratio 1.0 Sfold = 57.816201255446316 Sfnew = 59.177936337047846 Sold = 159.28231847221778, Snew = 159.28304810007896 Snew - Sold = 0.0007296278611761409 0.078430 seconds (81.77 k allocations: 8.982 MiB) 8 plaq_t = 0.06695247852335308 acceptance ratio 1.0 Sfold = 38.941247983473815 Sfnew = 39.72016473077494 Sold = 121.21404955391837, Snew = 121.20878560580623 Snew - Sold = -0.00526394811214459 0.080604 seconds (82.35 k allocations: 9.035 MiB) 9 plaq_t = 0.056361115017718094 acceptance ratio 1.0 Sfold = 43.18149136654783 Sfnew = 46.65805433768368 Sold = 136.5735962141148, Snew = 136.57402850258597 Snew - Sold = 0.00043228847118825797 0.080542 seconds (82.40 k allocations: 9.047 MiB) 10 plaq_t = 0.05992769976524418 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 = 756.2366509007289 + 0.0im Sfold = 794.6952190499495 Sfnew = 551.5152860880727 Sold = -3564.7637502161433, Snew = -3567.025880548419 Snew - Sold = -2.262130332275774 10.573163 seconds (3.50 M allocations: 183.854 MiB, 0.66% gc time, 68.41% compilation time) 1 plaq_t = 0.8026055197017563 acceptance ratio 1.0 Sfold = 749.4493633186642 Sfnew = 635.5828468988258 Sold = -1837.680180500697, Snew = -1838.8100645191662 Snew - Sold = -1.1298840184692835 4.698145 seconds (329.82 k allocations: 33.151 MiB, 5.53% gc time) 2 plaq_t = 0.6957413364419316 acceptance ratio 1.0 Sfold = 749.3380146182357 Sfnew = 720.6238426499322 Sold = -1015.1553490130706, Snew = -1015.5004598346386 Snew - Sold = -0.34511082156802786 4.710242 seconds (353.96 k allocations: 35.564 MiB) 3 plaq_t = 0.659399800586043 acceptance ratio 1.0 Sfold = 757.6761562057353 Sfnew = 734.3091832637534 Sold = -688.3572237479322, Snew = -688.4851632572667 Snew - Sold = -0.12793950933451015 5.113742 seconds (379.21 k allocations: 38.078 MiB, 0.45% gc time) 4 plaq_t = 0.627331684979251 acceptance ratio 1.0 Sfold = 763.2263115757878 Sfnew = 702.7728443838835 Sold = -369.5097136619079, Snew = -369.51428212838323 Snew - Sold = -0.004568466475348032 5.160709 seconds (395.28 k allocations: 39.683 MiB, 0.07% gc time) 5 plaq_t = 0.6005474863236533 acceptance ratio 1.0 Sfold = 796.5287013174973 Sfnew = 804.7585993496714 Sold = -233.04962774768342, Snew = -233.0308169907903 Snew - Sold = 0.018810756893117286 5.233228 seconds (395.95 k allocations: 39.751 MiB, 0.06% gc time) 6 plaq_t = 0.6079675865328821 acceptance ratio 1.0 Sfold = 731.0858204940205 Sfnew = 762.2910957872759 Sold = -274.0926656049878, Snew = -274.2411950484352 Snew - Sold = -0.14852944344738717 5.723965 seconds (423.45 k allocations: 42.495 MiB, 0.11% gc time) 7 plaq_t = 0.5952149723822071 acceptance ratio 1.0 Sfold = 837.8023398276083 Sfnew = 784.60279152992 Sold = -137.22212454269072, Snew = -137.29452133783855 Snew - Sold = -0.07239679514782438 5.459922 seconds (407.56 k allocations: 40.911 MiB, 0.10% gc time) 8 plaq_t = 0.5924402457273878 acceptance ratio 1.0 Sfold = 790.3825450771066 Sfnew = 804.8874185900756 Sold = -206.7286843529963, Snew = -206.71508184086292 Snew - Sold = 0.0136025121333887 5.571894 seconds (420.94 k allocations: 42.247 MiB, 0.10% gc time) 9 plaq_t = 0.6055355818170062 acceptance ratio 1.0 Sfold = 747.8268956756406 Sfnew = 736.1718549037668 Sold = -245.57955130477012, Snew = -245.57843109495855 Snew - Sold = 0.0011202098115745684 5.408362 seconds (415.40 k allocations: 41.694 MiB, 0.05% gc time) 10 plaq_t = 0.5977320790655928 acceptance ratio 1.0 Nf = 4 Sfold = 395.3738090171705 + 0.0im Sfold = 404.6149525195842 Sfnew = 385.7833373032888 Sold = -465.62470953746015, Snew = -465.62464016754507 Snew - Sold = 6.936991508155188e-5 5.800842 seconds (444.17 k allocations: 44.607 MiB, 0.17% gc time) 1 plaq_t = 0.5801926785796309 acceptance ratio 1.0 Sfold = 393.90023393746384 Sfnew = 388.4817750764967 Sold = -295.7743682333011, Snew = -295.8767940722784 Snew - Sold = -0.10242583897729673 6.268350 seconds (483.39 k allocations: 48.534 MiB, 0.13% gc time) 2 plaq_t = 0.5631335447104006 acceptance ratio 1.0 Sfold = 359.30883462656425 Sfnew = 389.9624625657781 Sold = -198.25562996855638, Snew = -198.54807538879265 Snew - Sold = -0.29244542023627673 6.314775 seconds (486.49 k allocations: 48.846 MiB, 0.09% gc time) 3 plaq_t = 0.553362957293607 acceptance ratio 1.0 Sfold = 352.47535358096786 Sfnew = 371.0306095573402 Sold = -138.64359897139173, Snew = -138.64763791587518 Snew - Sold = -0.004038944483454543 6.365941 seconds (488.97 k allocations: 49.093 MiB, 0.12% gc time) 4 plaq_t = 0.5565715414565889 acceptance ratio 1.0 Sfold = 378.2609619076994 Sfnew = 398.3077426277235 Sold = -240.59758413597717, Snew = -240.55527765268897 Snew - Sold = 0.042306483288200525 6.073137 seconds (471.01 k allocations: 47.299 MiB, 0.09% gc time) 5 plaq_t = 0.5721992261883492 acceptance ratio 1.0 Sfold = 367.2101439323141 Sfnew = 380.1738105404839 Sold = -355.8904064533354, Snew = -355.9023679980614 Snew - Sold = -0.011961544725977546 6.146049 seconds (469.57 k allocations: 47.152 MiB, 0.08% gc time) 6 plaq_t = 0.5640676397653687 acceptance ratio 1.0 Sfold = 396.19827067077756 Sfnew = 365.6768182121435 Sold = -328.64450214384954, Snew = -328.6038171555203 Snew - Sold = 0.04068498832924661 6.039476 seconds (463.17 k allocations: 46.517 MiB, 0.21% gc time) 7 plaq_t = 0.5640676397653687 acceptance ratio 0.8571428571428571 Sfold = 384.01783108582845 Sfnew = 402.1215448709051 Sold = -324.89081591037234, Snew = -324.73842195302296 Snew - Sold = 0.1523939573493749 6.447359 seconds (496.08 k allocations: 49.800 MiB, 0.08% gc time) 8 plaq_t = 0.5701616007389666 acceptance ratio 0.875 Sfold = 390.89816344017686 Sfnew = 375.9286139012854 Sold = -256.44047741238614, Snew = -256.4293077244795 Snew - Sold = 0.01116968790665851 6.818349 seconds (524.15 k allocations: 52.621 MiB, 0.08% gc time) 9 plaq_t = 0.5646924872308615 acceptance ratio 0.8888888888888888 Sfold = 369.3067571903144 Sfnew = 372.2357315370824 Sold = -369.1544143152291, Snew = -369.1256282191965 Snew - Sold = 0.028786096032547448 6.680899 seconds (513.20 k allocations: 51.521 MiB, 0.15% gc time) 10 plaq_t = 0.5684114375848931 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 = 737.7095735666154 + 0.0im Sfold = 768.9365533026805 Sfnew = 769.834961048932 Sold = 57.99718402248368, Snew = 57.937827267395505 Snew - Sold = -0.059356755088174395 8.433798 seconds (613.10 k allocations: 79.054 MiB, 0.56% gc time, 0.65% compilation time) 1 plaq_t = 0.5614531587126352 acceptance ratio 1.0 Sfold = 730.747444796921 Sfnew = 733.3413759229018 Sold = 104.23697584902607, Snew = 104.29467445002524 Snew - Sold = 0.05769860099917423 8.076226 seconds (594.87 k allocations: 77.275 MiB, 0.13% gc time) 2 plaq_t = 0.5657776640271127 acceptance ratio 1.0 Sfold = 757.0676571403507 Sfnew = 750.4354626471608 Sold = 55.09359668094987, Snew = 55.02429107932437 Snew - Sold = -0.06930560162550137 8.516136 seconds (626.77 k allocations: 80.433 MiB, 0.10% gc time) 3 plaq_t = 0.5502502841118214 acceptance ratio 1.0 Sfold = 747.7555533505212 Sfnew = 736.292879349414 Sold = 236.7532842554284, Snew = 236.7453697967536 Snew - Sold = -0.007914458674804337 8.807239 seconds (643.34 k allocations: 82.080 MiB, 0.12% gc time) 4 plaq_t = 0.5415927558796342 acceptance ratio 1.0 Sfold = 719.5523859296347 Sfnew = 724.6309420926701 Sold = 209.9916377638649, Snew = 209.95608853346414 Snew - Sold = -0.03554923040076119 8.994468 seconds (660.20 k allocations: 83.743 MiB, 0.12% gc time) 5 plaq_t = 0.5403569786726838 acceptance ratio 1.0 Sfold = 792.4974953572905 Sfnew = 762.436026547937 Sold = 368.5470257721677, Snew = 368.5965158585184 Snew - Sold = 0.0494900863507155 8.868675 seconds (646.17 k allocations: 82.363 MiB, 0.12% gc time) 6 plaq_t = 0.5403569786726838 acceptance ratio 0.8333333333333334 Sfold = 741.9547765949487 Sfnew = 748.8579082034031 Sold = 313.85783582040085, Snew = 313.82469966877136 Snew - Sold = -0.033136151629491906 8.853210 seconds (649.54 k allocations: 82.701 MiB, 0.21% gc time) 7 plaq_t = 0.5441301543149886 acceptance ratio 0.8571428571428571 Sfold = 726.5579333206142 Sfnew = 720.8104020875903 Sold = 156.97149913307203, Snew = 156.96325582385452 Snew - Sold = -0.008243309217505157 8.642532 seconds (635.52 k allocations: 81.308 MiB, 0.12% gc time) 8 plaq_t = 0.5512873288261172 acceptance ratio 0.875 Sfold = 758.4089824093442 Sfnew = 759.1263209882821 Sold = 273.9475809481926, Snew = 273.96853693926494 Snew - Sold = 0.020955991072355573 8.613103 seconds (634.22 k allocations: 81.173 MiB, 0.15% gc time) 9 plaq_t = 0.5458606768275374 acceptance ratio 0.8888888888888888 Sfold = 758.901370333729 Sfnew = 761.4660536800654 Sold = 254.2295971202551, Snew = 254.22691038797052 Snew - Sold = -0.0026867322845873787 8.290894 seconds (613.15 k allocations: 79.086 MiB, 0.13% gc time) 10 plaq_t = 0.5576817311251812 acceptance ratio 0.9 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 0.039790 seconds (5.65 k allocations: 420.562 KiB, 56.38% 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 0.016613 seconds (5.58 k allocations: 421.805 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 0.016443 seconds (5.61 k allocations: 423.805 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 0.017069 seconds (5.70 k allocations: 430.539 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 0.016833 seconds (5.60 k allocations: 423.039 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 0.017248 seconds (5.78 k allocations: 434.859 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 0.016996 seconds (5.67 k allocations: 427.789 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 0.016287 seconds (5.51 k allocations: 417.258 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 0.017235 seconds (5.72 k allocations: 431.023 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 0.016522 seconds (5.55 k allocations: 419.953 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 7.015837 seconds (1.68 M allocations: 82.847 MiB, 0.54% gc time, 74.48% 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 1.828019 seconds (26.98 k allocations: 2.655 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 1.799282 seconds (26.78 k allocations: 2.636 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 1.802718 seconds (27.02 k allocations: 2.657 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 1.796405 seconds (26.71 k allocations: 2.630 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 1.822496 seconds (26.99 k allocations: 2.655 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 1.786195 seconds (26.71 k allocations: 2.630 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 1.814000 seconds (26.65 k allocations: 2.624 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 1.772975 seconds (26.67 k allocations: 2.625 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 1.782700 seconds (26.63 k allocations: 2.623 MiB) 10 plaq_t = 1.6500843989919027 acceptance ratio 1.0 -0.37815110172201044 - 0.3106394597166913im BICG -------------------------------------- bicg method 1-th eps: 604.7515452430076 2-th eps: 189.0452336932344 3-th eps: 75.53647013231149 4-th eps: 35.28036456818532 5-th eps: 17.621189610332 6-th eps: 8.987349133087491 7-th eps: 4.853020260391311 8-th eps: 3.1856422264961086 9-th eps: 1.7065429927125826 10-th eps: 0.4290918075726384 11-th eps: 0.0744858065206307 12-th eps: 0.013845816719504944 13-th eps: 0.0028841283845830383 14-th eps: 0.0005922204804639561 15-th eps: 0.00011165465445800241 16-th eps: 1.564285076570165e-5 17-th eps: 1.591634938529176e-6 18-th eps: 6.280189523305205e-8 19-th eps: 5.829933566752335e-11 Converged at 19-th step. eps: 5.829933566752335e-11 -------------------------------------- 0.493817 seconds (50.38 k allocations: 2.741 MiB, 80.62% compilation time) 3786.210597051523 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 88.73328040128519 2-th eps: 208.66276679461066 3-th eps: 7.01179960541787 4-th eps: 0.2895615256842706 5-th eps: 0.877123692361753 6-th eps: 0.06067484019043677 7-th eps: 0.025741883535656804 8-th eps: 0.006984171195422279 9-th eps: 0.005959601784478936 10-th eps: 0.002528273636079654 11-th eps: 0.0008508276979915708 12-th eps: 0.0001492068705116438 13-th eps: 4.135668438116004e-6 14-th eps: 6.064833428449625e-7 15-th eps: 1.1743114126382363e-8 16-th eps: 1.4163737847889114e-12 Converged at 16-th step. eps: 1.4163737847889114e-12 -------------------------------------- 0.389829 seconds (46.29 k allocations: 2.548 MiB, 77.80% compilation time) 3786.210473196236 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 604.7515452430076 2-th eps: 189.0452336932344 3-th eps: 75.53647013231149 4-th eps: 35.28036456818532 5-th eps: 17.621189610332 6-th eps: 8.987349133087491 7-th eps: 4.853020260391311 8-th eps: 3.1856422264961086 9-th eps: 1.7065429927125826 10-th eps: 0.4290918075726384 11-th eps: 0.0744858065206307 12-th eps: 0.013845816719504944 13-th eps: 0.0028841283845830383 14-th eps: 0.0005922204804639561 15-th eps: 0.00011165465445800241 16-th eps: 1.564285076570165e-5 17-th eps: 1.591634938529176e-6 18-th eps: 6.280189523305205e-8 19-th eps: 5.829933566752335e-11 Converged at 19-th step. eps: 5.829933566752335e-11 -------------------------------------- 0.097706 seconds (1.33 k allocations: 124.172 KiB) 3786.210597051523 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 88.73328040128519 2-th eps: 208.66276679461066 3-th eps: 7.01179960541787 4-th eps: 0.2895615256842706 5-th eps: 0.877123692361753 6-th eps: 0.06067484019043677 7-th eps: 0.025741883535656804 8-th eps: 0.006984171195422279 9-th eps: 0.005959601784478936 10-th eps: 0.002528273636079654 11-th eps: 0.0008508276979915708 12-th eps: 0.0001492068705116438 13-th eps: 4.135668438116004e-6 14-th eps: 6.064833428449625e-7 15-th eps: 1.1743114126382363e-8 16-th eps: 1.4163737847889114e-12 Converged at 16-th step. eps: 1.4163737847889114e-12 -------------------------------------- 0.086854 seconds (1.13 k allocations: 105.305 KiB) 3786.210473196236 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 604.7515452430076 2-th eps: 189.0452336932344 3-th eps: 75.53647013231149 4-th eps: 35.28036456818532 5-th eps: 17.621189610332 6-th eps: 8.987349133087491 7-th eps: 4.853020260391311 8-th eps: 3.1856422264961086 9-th eps: 1.7065429927125826 10-th eps: 0.4290918075726384 11-th eps: 0.0744858065206307 12-th eps: 0.013845816719504944 13-th eps: 0.0028841283845830383 14-th eps: 0.0005922204804639561 15-th eps: 0.00011165465445800241 16-th eps: 1.564285076570165e-5 17-th eps: 1.591634938529176e-6 18-th eps: 6.280189523305205e-8 19-th eps: 5.829933566752335e-11 Converged at 19-th step. eps: 5.829933566752335e-11 -------------------------------------- 0.097170 seconds (1.33 k allocations: 124.172 KiB) 3786.210597051523 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 88.73328040128519 2-th eps: 208.66276679461066 3-th eps: 7.01179960541787 4-th eps: 0.2895615256842706 5-th eps: 0.877123692361753 6-th eps: 0.06067484019043677 7-th eps: 0.025741883535656804 8-th eps: 0.006984171195422279 9-th eps: 0.005959601784478936 10-th eps: 0.002528273636079654 11-th eps: 0.0008508276979915708 12-th eps: 0.0001492068705116438 13-th eps: 4.135668438116004e-6 14-th eps: 6.064833428449625e-7 15-th eps: 1.1743114126382363e-8 16-th eps: 1.4163737847889114e-12 Converged at 16-th step. eps: 1.4163737847889114e-12 -------------------------------------- 0.088820 seconds (1.13 k allocations: 105.305 KiB) 3786.210473196236 + 0.0im Sfold = 2987.085400426574 + 0.0im -------------------------------------- cg method 1-th eps: 584.4874293900871 2-th eps: 153.80924921060767 3-th eps: 50.51511486637325 4-th eps: 18.082965642965235 5-th eps: 6.689701997297166 6-th eps: 2.463202488318866 7-th eps: 1.2125885364284505 8-th eps: 0.7046379079578965 9-th eps: 0.720653362148624 10-th eps: 0.2996274356501141 11-th eps: 0.05247967300663181 12-th eps: 0.009710896636998666 13-th eps: 0.0022180572987249105 14-th eps: 0.00029645918012783447 15-th eps: 7.790024495131426e-5 16-th eps: 1.0233059578492234e-5 17-th eps: 1.1640091851248342e-6 18-th eps: 6.283040906199343e-8 19-th eps: 5.354984856731264e-11 20-th eps: 1.299007347853385e-17 21-th eps: 3.77175482964078e-26 Converged at 21-th step. eps: 3.77175482964078e-26 -------------------------------------- -------------------------------------- bicg method 1-th eps: 130.23560330112613 2-th eps: 50.93050125271522 3-th eps: 22.636370813287396 4-th eps: 11.406780618921836 5-th eps: 6.032898681571518 6-th eps: 3.2411885715145874 7-th eps: 1.862530367379483 8-th eps: 1.17720664905618 9-th eps: 0.4121236667997869 10-th eps: 0.062495152001183656 11-th eps: 0.011048241085455646 12-th eps: 0.0020493122689410493 13-th eps: 0.0004438250405718903 14-th eps: 0.00010077746646063341 15-th eps: 1.4618601523464813e-5 16-th eps: 2.2587864889990563e-6 17-th eps: 1.6640777523286354e-7 18-th eps: 3.087739364998186e-9 19-th eps: 1.8110178592240015e-12 20-th eps: 2.9409361474710235e-18 21-th eps: 6.403979506360888e-27 Converged at 21-th step. eps: 6.403979506360888e-27 -------------------------------------- Sfnew = 2987.0854004265716 Test Summary: | Pass Total Time LatticeDiracOperators.jl | 22 22 7m14.8s Testing LatticeDiracOperators tests passed Testing completed after 456.23s PkgEval succeeded after 626.36s