Package evaluation to test LatticeDiracOperators on Julia 1.14.0-DEV.36 (e2f3178d9b*) started at 2025-11-06T20:30:43.085 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 7.15s ################################################################################ # Installation # Installing LatticeDiracOperators... Resolving package versions... Installed LatticeDiracOperators ─ v0.5.10 Updating `~/.julia/environments/v1.14/Project.toml` [019239df] + LatticeDiracOperators v0.5.10 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 v0.25.122 [ffbed154] + DocStringExtensions v0.9.5 [8f5d6c58] + EzXML v1.2.3 [5789e2e9] + FileIO v1.17.1 [1a297f60] + FillArrays v1.15.0 [a461e10c] + Gaugefields v0.6.12 [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 v0.5.10 [dd6a91e4] + LatticeMatrices v0.2.1 [2ab3a3ac] + LogExpFunctions v0.3.29 [da04e1cc] + MPI v0.20.23 [3da0fdf6] + MPIPreferences v0.1.11 [1914dd2f] + MacroTools v0.5.16 [e1d29d7a] + Missings v1.2.0 [15e1cf62] + NPZ v0.4.3 [bac558e1] + OrderedCollections v1.8.1 [90014a1f] + PDMats v0.11.36 [eebad327] + PkgVersion v0.3.3 [f9710d63] + PreallocatedArrays v0.0.1 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.0 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [79098fc4] + Rmath v0.9.0 [7e506255] + ScopedValues v1.5.0 [a2af1166] + SortingAlgorithms v1.2.2 [276daf66] + SpecialFunctions v2.6.1 [860ef19b] + StableRNGs v1.0.3 [90137ffa] + StaticArrays v1.9.15 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.1 [2913bbd2] + StatsBase v0.34.7 [4c63d2b9] + StatsFuns v1.5.2 [3bb67fe8] + TranscodingStreams v0.11.3 [013be700] + UnsafeAtomics v0.3.0 [f3c8d4fe] + Wilsonloop v0.1.5 [a5390f91] + ZipFile v0.10.1 [acb6dc63] + AlgRemez_jll v0.1.1+0 [3c6ae550] + CLIME_jll v1.3.2+0 ⌃ [e33a78d0] + Hwloc_jll v2.12.1+0 [94ce4f54] + Libiconv_jll v1.18.0+0 [7cb0a576] + MPICH_jll v4.3.2+0 [f1f71cc9] + MPItrampoline_jll v5.5.4+0 [9237b28f] + MicrosoftMPI_jll v10.1.4+3 [fe0851c0] + OpenMPI_jll v5.0.8+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 [02c8fc9c] + XML2_jll v2.15.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [f43a241f] + Downloads v1.7.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.13.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [deac9b47] + LibCURL_jll v8.16.0+0 [e37daf67] + LibGit2_jll v1.9.1+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [3a97d323] + MPFR_jll v4.2.2+0 [14a3606d] + MozillaCACerts_jll v2025.11.4 [4536629a] + OpenBLAS_jll v0.3.29+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.4+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.1+2 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.68.0+1 [3f19e933] + p7zip_jll v17.6.0+0 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Installation completed after 7.13s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... ┌ Error: Failed to use TestEnv.jl; test dependencies will not be precompiled │ exception = │ UndefVarError: `project_rel_path` not defined in `TestEnv` │ Suggestion: this global was defined as `Pkg.Operations.project_rel_path` but not assigned a value. │ Stacktrace: │ [1] get_test_dir(ctx::Pkg.Types.Context, pkgspec::PackageSpec) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:75 │ [2] test_dir_has_project_file │ @ ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:52 [inlined] │ [3] maybe_gen_project_override! │ @ ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/common.jl:83 [inlined] │ [4] activate(pkg::String; allow_reresolve::Bool) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/activate_set.jl:12 │ [5] activate(pkg::String) │ @ TestEnv ~/.julia/packages/TestEnv/nGMfF/src/julia-1.11/activate_set.jl:9 │ [6] top-level scope │ @ /PkgEval.jl/scripts/precompile.jl:24 │ [7] include(mod::Module, _path::String) │ @ Base ./Base.jl:309 │ [8] exec_options(opts::Base.JLOptions) │ @ Base ./client.jl:344 │ [9] _start() │ @ Base ./client.jl:577 └ @ Main /PkgEval.jl/scripts/precompile.jl:26 Precompiling package dependencies... Precompiling packages... 1380.6 ms ✓ CLIME_jll 994.2 ms ✓ AlgRemez_jll 8515.3 ms ✓ MPI 8928.9 ms ✓ LatticeMatrices 16949.8 ms ✓ Gaugefields 14537.5 ms ✓ LatticeDiracOperators 6 dependencies successfully precompiled in 54 seconds. 101 already precompiled. Precompilation completed after 60.1s ################################################################################ # Testing # Testing LatticeDiracOperators Status `/tmp/jl_Xher10/Project.toml` [a461e10c] Gaugefields v0.6.12 [0979c8fe] JACC v0.5.0 ⌅ [033835bb] JLD2 v0.5.15 [019239df] LatticeDiracOperators v0.5.10 [dd6a91e4] LatticeMatrices v0.2.1 [da04e1cc] MPI v0.20.23 [ae029012] Requires v1.3.1 [90137ffa] StaticArrays v1.9.15 [f3c8d4fe] Wilsonloop v0.1.5 [acb6dc63] AlgRemez_jll v0.1.1+0 [b77e0a4c] InteractiveUtils v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [2f01184e] SparseArrays v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_Xher10/Manifest.toml` [66dad0bd] AliasTables v1.1.3 [a9b6321e] Atomix v1.1.2 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.19.3 [31c24e10] Distributions v0.25.122 [ffbed154] DocStringExtensions v0.9.5 [8f5d6c58] EzXML v1.2.3 [5789e2e9] FileIO v1.17.1 [1a297f60] FillArrays v1.15.0 [a461e10c] Gaugefields v0.6.12 [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 v0.5.10 [dd6a91e4] LatticeMatrices v0.2.1 [2ab3a3ac] LogExpFunctions v0.3.29 [da04e1cc] MPI v0.20.23 [3da0fdf6] MPIPreferences v0.1.11 [1914dd2f] MacroTools v0.5.16 [e1d29d7a] Missings v1.2.0 [15e1cf62] NPZ v0.4.3 [bac558e1] OrderedCollections v1.8.1 [90014a1f] PDMats v0.11.36 [eebad327] PkgVersion v0.3.3 [f9710d63] PreallocatedArrays v0.0.1 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.0 [43287f4e] PtrArrays v1.3.0 [1fd47b50] QuadGK v2.11.2 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [79098fc4] Rmath v0.9.0 [7e506255] ScopedValues v1.5.0 [a2af1166] SortingAlgorithms v1.2.2 [276daf66] SpecialFunctions v2.6.1 [860ef19b] StableRNGs v1.0.3 [90137ffa] StaticArrays v1.9.15 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.7.1 [2913bbd2] StatsBase v0.34.7 [4c63d2b9] StatsFuns v1.5.2 [3bb67fe8] TranscodingStreams v0.11.3 [013be700] UnsafeAtomics v0.3.0 [f3c8d4fe] Wilsonloop v0.1.5 [a5390f91] ZipFile v0.10.1 [acb6dc63] AlgRemez_jll v0.1.1+0 [3c6ae550] CLIME_jll v1.3.2+0 ⌃ [e33a78d0] Hwloc_jll v2.12.1+0 [94ce4f54] Libiconv_jll v1.18.0+0 [7cb0a576] MPICH_jll v4.3.2+0 [f1f71cc9] MPItrampoline_jll v5.5.4+0 [9237b28f] MicrosoftMPI_jll v10.1.4+3 [fe0851c0] OpenMPI_jll v5.0.8+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [f50d1b31] Rmath_jll v0.5.1+0 [02c8fc9c] XML2_jll v2.15.1+0 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.13.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.11.0 [4607b0f0] SuiteSparse [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.16.0+0 [e37daf67] LibGit2_jll v1.9.1+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.11.4 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.4+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.68.0+1 [3f19e933] p7zip_jll v17.6.0+0 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... Domainwall 4D DW 12578.21738008868 scaled Shamir kernel (Mobius DW) is used 12357.287456843394 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/4o5fA/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/4o5fA/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 = 15.452662548002044 + 0.0im Sfold = 16.122001607598747 Sfnew = 15.784323863591947 Sold = -54.203313918517864, Snew = -54.24129657096772 Snew - Sold = -0.037982652449855436 5.883367 seconds (1.89 M allocations: 101.366 MiB, 0.81% gc time, 99.91% compilation time) 1 plaq_t = 0.15679348659608183 acceptance ratio 1.0 Sfold = 15.679954676854727 Sfnew = 13.95809444270634 Sold = -51.312184057212896, Snew = -51.32889629091329 Snew - Sold = -0.016712233700395984 0.005374 seconds (22.39 k allocations: 2.005 MiB) 2 plaq_t = 0.1538656969066714 acceptance ratio 1.0 Sfold = 19.928780189221357 Sfnew = 20.37825505432436 Sold = -44.000342417133396, Snew = -43.987241992955816 Snew - Sold = 0.013100424177579839 0.004572 seconds (22.37 k allocations: 2.004 MiB) 3 plaq_t = 0.15779466886537785 acceptance ratio 1.0 Sfold = 14.486228255217169 Sfnew = 15.2252177618536 Sold = -53.943951700929915, Snew = -53.96756519813631 Snew - Sold = -0.023613497206397938 0.004658 seconds (22.38 k allocations: 2.005 MiB) 4 plaq_t = 0.1520943008574093 acceptance ratio 1.0 Sfold = 18.202260377255946 Sfnew = 15.651510751262245 Sold = -46.26838413720714, Snew = -46.25401853204631 Snew - Sold = 0.014365605160833184 0.004597 seconds (22.41 k allocations: 2.007 MiB) 5 plaq_t = 0.15455382923613228 acceptance ratio 1.0 Sfold = 16.06588702502383 Sfnew = 14.439738927707964 Sold = -47.27603043912559, Snew = -47.267896400188114 Snew - Sold = 0.008134038937477328 0.004545 seconds (22.39 k allocations: 2.005 MiB) 6 plaq_t = 0.15434355730391205 acceptance ratio 1.0 Sfold = 12.893974436786916 Sfnew = 14.556316430472913 Sold = -53.16922191486904, Snew = -53.18197587776513 Snew - Sold = -0.012753962896091764 0.004520 seconds (22.43 k allocations: 2.008 MiB) 7 plaq_t = 0.1503746361529135 acceptance ratio 1.0 Sfold = 10.89373921517264 Sfnew = 10.038016643198622 Sold = -49.992473682400345, Snew = -50.00726694908128 Snew - Sold = -0.014793266680932504 0.004620 seconds (22.42 k allocations: 2.008 MiB) 8 plaq_t = 0.14217350045099417 acceptance ratio 1.0 Sfold = 15.508130094931516 Sfnew = 11.300793755255212 Sold = -49.88093675374543, Snew = -49.81666236511708 Snew - Sold = 0.06427438862834833 0.004577 seconds (22.38 k allocations: 2.004 MiB) 9 plaq_t = 0.1511036645469474 acceptance ratio 1.0 Sfold = 12.821626488902305 Sfnew = 16.125497047102847 Sold = -55.321845396349566, Snew = -55.310481952342734 Snew - Sold = 0.011363444006832424 0.004446 seconds (22.36 k allocations: 2.003 MiB) 10 plaq_t = 0.1572714944714515 acceptance ratio 1.0 Nf = 2 Sfold = 10.942453789705379 + 0.0im Sfold = 4.6049305521555794 Sfnew = 5.050606107450757 Sold = -66.59956631929514, Snew = -66.61519112981094 Snew - Sold = -0.015624810515802778 0.397616 seconds (86.91 k allocations: 5.551 MiB, 98.80% compilation time) 1 plaq_t = 0.1535252474306546 acceptance ratio 1.0 Sfold = 6.799957948468875 Sfnew = 8.787728216169132 Sold = -55.8900028934155, Snew = -55.90135132176215 Snew - Sold = -0.011348428346650508 0.004430 seconds (23.00 k allocations: 2.059 MiB) 2 plaq_t = 0.153138525700698 acceptance ratio 1.0 Sfold = 3.6898212548246123 Sfnew = 5.496562680562351 Sold = -59.20371377295705, Snew = -59.226827988000736 Snew - Sold = -0.023114215043683828 0.004441 seconds (23.04 k allocations: 2.062 MiB) 3 plaq_t = 0.14577927006696298 acceptance ratio 1.0 Sfold = 4.3876960879375195 Sfnew = 4.605127162550393 Sold = -58.271930431138, Snew = -58.2392585807326 Snew - Sold = 0.032671850405399994 0.004484 seconds (23.04 k allocations: 2.063 MiB) 4 plaq_t = 0.15661977182176814 acceptance ratio 1.0 Sfold = 10.00914303817908 Sfnew = 11.014542000667461 Sold = -54.4311966150632, Snew = -54.459833756313 Snew - Sold = -0.028637141249802767 0.004425 seconds (23.02 k allocations: 2.060 MiB) 5 plaq_t = 0.14967374302456748 acceptance ratio 1.0 Sfold = 8.090940554422906 Sfnew = 7.944041963663268 Sold = -58.8114222324921, Snew = -58.78732772746389 Snew - Sold = 0.024094505028209312 0.004430 seconds (23.03 k allocations: 2.062 MiB) 6 plaq_t = 0.15837700431039287 acceptance ratio 1.0 Sfold = 6.910823430702635 Sfnew = 6.184894275094373 Sold = -59.9270815708784, Snew = -59.93560668972385 Snew - Sold = -0.008525118845447821 0.004437 seconds (23.05 k allocations: 2.063 MiB) 7 plaq_t = 0.1529431272220726 acceptance ratio 1.0 Sfold = 7.3043038860144796 Sfnew = 7.223854932605272 Sold = -48.72862303420091, Snew = -48.76422401809776 Snew - Sold = -0.03560098389684896 0.004411 seconds (23.00 k allocations: 2.059 MiB) 8 plaq_t = 0.1429765877957194 acceptance ratio 1.0 Sfold = 12.536965626608035 Sfnew = 13.050883577489047 Sold = -44.96836413269048, Snew = -44.97006024544281 Snew - Sold = -0.0016961127523273944 0.004407 seconds (23.00 k allocations: 2.059 MiB) 9 plaq_t = 0.1427649644751058 acceptance ratio 1.0 Sfold = 12.381629848432906 Sfnew = 15.36062396437019 Sold = -41.93359366362663, Snew = -41.93246651849352 Snew - Sold = 0.0011271451331111848 0.004439 seconds (22.98 k allocations: 2.057 MiB) 10 plaq_t = 0.15272605755215427 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 = 21.446758805740753 + 0.0im Sfold = 14.375425463581498 Sfnew = 16.310274846139826 Sold = -49.56203791149202, Snew = -49.577842325483 Snew - Sold = -0.01580441399097765 1.478124 seconds (336.32 k allocations: 20.108 MiB, 1.48% gc time, 97.76% compilation time) 1 plaq_t = 0.15074730686484675 acceptance ratio 1.0 Sfold = 18.504230729451248 Sfnew = 18.585308364294455 Sold = -46.7132255290616, Snew = -46.708879440016325 Snew - Sold = 0.004346089045277779 0.010039 seconds (44.18 k allocations: 4.435 MiB) 2 plaq_t = 0.14990220164443635 acceptance ratio 1.0 Sfold = 14.49659613297706 Sfnew = 14.615484670496278 Sold = -53.19577338656339, Snew = -53.18204363603332 Snew - Sold = 0.013729750530067975 0.010016 seconds (44.18 k allocations: 4.435 MiB) 3 plaq_t = 0.15476191550458565 acceptance ratio 1.0 Sfold = 12.435134405542888 Sfnew = 12.208739651786155 Sold = -48.78525817689627, Snew = -48.808886951895325 Snew - Sold = -0.023628774999053803 0.010093 seconds (44.19 k allocations: 4.436 MiB) 4 plaq_t = 0.14503333817134628 acceptance ratio 1.0 Sfold = 22.036527836451082 Sfnew = 20.679020738302714 Sold = -39.82699731776525, Snew = -39.79031208644625 Snew - Sold = 0.036685231318998035 0.010087 seconds (44.27 k allocations: 4.442 MiB) 5 plaq_t = 0.1554758939192697 acceptance ratio 1.0 Sfold = 16.859679273990697 Sfnew = 17.80871442755013 Sold = -44.389218886496266, Snew = -44.40333425145876 Snew - Sold = -0.01411536496249255 0.011080 seconds (44.28 k allocations: 4.442 MiB) 6 plaq_t = 0.15091926566393934 acceptance ratio 1.0 Sfold = 10.444655342142214 Sfnew = 11.050930026548892 Sold = -54.717394824217536, Snew = -54.70640013976334 Snew - Sold = 0.010994684454196602 0.010266 seconds (44.20 k allocations: 4.436 MiB) 7 plaq_t = 0.15474332598386142 acceptance ratio 1.0 Sfold = 13.970286042679142 Sfnew = 13.571007144646282 Sold = -54.048784860374845, Snew = -54.0658828736297 Snew - Sold = -0.017098013254852162 0.010216 seconds (44.20 k allocations: 4.437 MiB) 8 plaq_t = 0.15209341978118673 acceptance ratio 1.0 Sfold = 15.37628405356178 Sfnew = 14.69020908655349 Sold = -48.57457435654549, Snew = -48.57034564555743 Snew - Sold = 0.004228710988058992 0.010239 seconds (44.21 k allocations: 4.438 MiB) 9 plaq_t = 0.15342349257223573 acceptance ratio 1.0 Sfold = 24.681945119240797 Sfnew = 24.86848301984125 Sold = -44.518645324930986, Snew = -44.52187630791565 Snew - Sold = -0.0032309829846610683 0.010170 seconds (44.30 k allocations: 4.445 MiB) 10 plaq_t = 0.15252932458085483 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/4o5fA/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/4o5fA/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 = 34.016840376931576 + 0.0im Sfold = 36.36035217828224 Sfnew = 30.700838760479275 Sold = -3.182730557177379, Snew = -3.190104508525078 Snew - Sold = -0.007373951347698693 7.631470 seconds (2.54 M allocations: 137.062 MiB, 0.75% gc time, 99.88% compilation time) 1 plaq_t = 0.14210265669816552 acceptance ratio 1.0 Sfold = 39.26702167541562 Sfnew = 37.29501825549829 Sold = 15.462341555112978, Snew = 15.459484813908787 Snew - Sold = -0.0028567412041908824 0.007640 seconds (22.34 k allocations: 2.002 MiB) 2 plaq_t = 0.13201903702503995 acceptance ratio 1.0 Sfold = 34.4925396391619 Sfnew = 27.445576196387023 Sold = 18.716882794676444, Snew = 18.72048282832794 Snew - Sold = 0.0036000336514945275 0.007263 seconds (22.34 k allocations: 2.002 MiB) 3 plaq_t = 0.11618120119040029 acceptance ratio 1.0 Sfold = 31.746998566358574 Sfnew = 23.60669006014465 Sold = 12.010266863618096, Snew = 12.036589353850282 Snew - Sold = 0.026322490232185913 0.007267 seconds (22.38 k allocations: 2.005 MiB) 4 plaq_t = 0.12293505798110538 acceptance ratio 1.0 Sfold = 23.50002344833601 Sfnew = 24.26936971860145 Sold = -4.4556189421601005, Snew = -4.4555697817038755 Snew - Sold = 4.916045622493925e-5 0.007171 seconds (22.34 k allocations: 2.002 MiB) 5 plaq_t = 0.13531218887226076 acceptance ratio 1.0 Sfold = 30.85203845804449 Sfnew = 25.562341668672328 Sold = 2.4298235696649044, Snew = 2.4415342007847265 Snew - Sold = 0.011710631119822068 0.007253 seconds (22.39 k allocations: 2.006 MiB) 6 plaq_t = 0.1336796887715243 acceptance ratio 1.0 Sfold = 34.06792794011696 Sfnew = 33.203570243943275 Sold = -3.7771754196262464, Snew = -3.7740115383678017 Snew - Sold = 0.0031638812584446896 0.007179 seconds (22.34 k allocations: 2.002 MiB) 7 plaq_t = 0.13371211132749755 acceptance ratio 1.0 Sfold = 27.80274106761551 Sfnew = 27.84400722262239 Sold = 0.14458916709269332, Snew = 0.14126510993248687 Snew - Sold = -0.0033240571602064506 0.007284 seconds (22.35 k allocations: 2.003 MiB) 8 plaq_t = 0.1257771968486945 acceptance ratio 1.0 Sfold = 30.42020992289736 Sfnew = 31.898500587255 Sold = 2.6851109442618757, Snew = 2.6800993271793487 Snew - Sold = -0.0050116170825269535 0.007231 seconds (22.35 k allocations: 2.003 MiB) 9 plaq_t = 0.13054286823893982 acceptance ratio 1.0 Sfold = 24.783519295556843 Sfnew = 23.968224710574127 Sold = 9.210116423260345, Snew = 9.210787447694862 Snew - Sold = 0.0006710244345171645 0.007274 seconds (22.36 k allocations: 2.004 MiB) 10 plaq_t = 0.1281903346515546 acceptance ratio 1.0 Nf = 2 Sfold = 13.121249298486784 + 0.0im Sfold = 13.15203040431632 Sfnew = 11.35080057082407 Sold = -8.078184326041786, Snew = -8.076794002027995 Snew - Sold = 0.0013903240137906892 0.395137 seconds (86.86 k allocations: 5.550 MiB, 98.10% compilation time) 1 plaq_t = 0.12386249036051211 acceptance ratio 1.0 Sfold = 16.05039859953396 Sfnew = 22.22272456221551 Sold = -3.8359354225073936, Snew = -3.8436235724225654 Snew - Sold = -0.007688149915171749 0.007301 seconds (22.96 k allocations: 2.056 MiB) 2 plaq_t = 0.12916408589828746 acceptance ratio 1.0 Sfold = 18.71481183093771 Sfnew = 21.072532392060893 Sold = -1.0136926068935246, Snew = -1.008722298172863 Snew - Sold = 0.00497030872066162 0.023233 seconds (22.98 k allocations: 2.058 MiB, 67.97% gc time) 3 plaq_t = 0.1386441154756615 acceptance ratio 1.0 Sfold = 12.711193465667082 Sfnew = 12.307078096519808 Sold = -17.12685314412863, Snew = -17.129365665066295 Snew - Sold = -0.0025125209376639646 0.007452 seconds (22.99 k allocations: 2.059 MiB) 4 plaq_t = 0.12874519843357124 acceptance ratio 1.0 Sfold = 21.489335942792778 Sfnew = 22.86608434906626 Sold = 11.052353465868222, Snew = 11.051935611908629 Snew - Sold = -0.0004178539595933728 0.007311 seconds (22.95 k allocations: 2.055 MiB) 5 plaq_t = 0.13084330457508492 acceptance ratio 1.0 Sfold = 18.79603471943284 Sfnew = 15.58326234639001 Sold = -10.49302868675884, Snew = -10.490713160027047 Snew - Sold = 0.0023155267317935824 0.007360 seconds (22.99 k allocations: 2.059 MiB) 6 plaq_t = 0.12755733594540053 acceptance ratio 1.0 Sfold = 14.749627533847327 Sfnew = 13.348833913855705 Sold = -8.253064241205177, Snew = -8.248586725004794 Snew - Sold = 0.004477516200383391 0.007240 seconds (22.97 k allocations: 2.057 MiB) 7 plaq_t = 0.13051282919871593 acceptance ratio 1.0 Sfold = 24.858748532754372 Sfnew = 24.13465356940851 Sold = 9.88019833573598, Snew = 9.88708372122937 Snew - Sold = 0.006885385493390572 0.007515 seconds (22.97 k allocations: 2.057 MiB) 8 plaq_t = 0.13449102754669823 acceptance ratio 1.0 Sfold = 19.89186442398981 Sfnew = 20.066618273441502 Sold = -15.916188425637436, Snew = -15.912434014887612 Snew - Sold = 0.0037544107498241885 0.007263 seconds (22.95 k allocations: 2.055 MiB) 9 plaq_t = 0.13863447492182546 acceptance ratio 1.0 Sfold = 12.62800288303762 Sfnew = 11.87870257408701 Sold = 0.11530976334827514, Snew = 0.10831758205236675 Snew - Sold = -0.006992181295908395 0.007363 seconds (22.98 k allocations: 2.057 MiB) 10 plaq_t = 0.12500928517341253 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 = 24.42637964622661 + 0.0im Sfold = 29.877775131584713 Sfnew = 30.891231979870923 Sold = 11.155014940023207, Snew = 11.158797943272987 Snew - Sold = 0.0037830032497794264 1.285478 seconds (284.02 k allocations: 17.967 MiB, 98.49% compilation time) 1 plaq_t = 0.12547115761507005 acceptance ratio 1.0 Sfold = 27.4671337498837 Sfnew = 26.896376589809776 Sold = 19.130999047156422, Snew = 19.128491974455784 Snew - Sold = -0.002507072700637991 0.018345 seconds (44.19 k allocations: 4.906 MiB) 2 plaq_t = 0.13201964706460956 acceptance ratio 1.0 Sfold = 31.870710343583436 Sfnew = 31.192644904479096 Sold = 8.105733150302452, Snew = 8.109001223027668 Snew - Sold = 0.003268072725216342 0.018336 seconds (44.21 k allocations: 4.907 MiB) 3 plaq_t = 0.14239951966447112 acceptance ratio 1.0 Sfold = 30.173150210318695 Sfnew = 28.564678505131276 Sold = -7.239297579245353, Snew = -7.237748621324968 Snew - Sold = 0.0015489579203844528 0.018326 seconds (44.21 k allocations: 4.906 MiB) 4 plaq_t = 0.14280835944670003 acceptance ratio 1.0 Sfold = 20.400850042924382 Sfnew = 20.64573027878895 Sold = -14.63398852794242, Snew = -14.635634286006297 Snew - Sold = -0.0016457580638764568 0.018753 seconds (44.19 k allocations: 4.906 MiB) 5 plaq_t = 0.14057341022139724 acceptance ratio 1.0 Sfold = 30.919184773399003 Sfnew = 31.565198164682062 Sold = 15.388327122776893, Snew = 15.377117227994102 Snew - Sold = -0.011209894782790997 0.031562 seconds (44.18 k allocations: 4.905 MiB, 41.15% gc time) 6 plaq_t = 0.12421638857331557 acceptance ratio 1.0 Sfold = 37.77110655380469 Sfnew = 39.818513182434835 Sold = 17.01513281689226, Snew = 17.0141589121398 Snew - Sold = -0.0009739047524632838 0.018851 seconds (44.17 k allocations: 4.904 MiB) 7 plaq_t = 0.12638848341216163 acceptance ratio 1.0 Sfold = 25.256028438107748 Sfnew = 24.998875810179335 Sold = 5.801580643882332, Snew = 5.802488876158598 Snew - Sold = 0.000908232276266574 0.018262 seconds (44.16 k allocations: 4.904 MiB) 8 plaq_t = 0.1305525962165296 acceptance ratio 1.0 Sfold = 29.12635039626564 Sfnew = 26.98308214332798 Sold = 10.419971190508424, Snew = 10.417276477567146 Snew - Sold = -0.002694712941277544 0.018333 seconds (44.17 k allocations: 4.904 MiB) 9 plaq_t = 0.12531403787698148 acceptance ratio 1.0 Sfold = 45.845925745044184 Sfnew = 48.02877382202858 Sold = 22.484939501226734, Snew = 22.48090313339118 Snew - Sold = -0.004036367835553278 0.018394 seconds (44.17 k allocations: 4.904 MiB) 10 plaq_t = 0.1187687318814932 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/4o5fA/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/4o5fA/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 = 46.430580502359874 + 0.0im Sfold = 47.98882197669471 Sfnew = 35.97741030127379 Sold = 66.35614630854145, Snew = 66.33700587253901 Snew - Sold = -0.01914043600244497 14.336594 seconds (4.48 M allocations: 237.115 MiB, 0.67% gc time, 99.83% compilation time) 1 plaq_t = 0.0937401064336232 acceptance ratio 1.0 Sfold = 46.94917062616834 Sfnew = 52.280484075772755 Sold = 133.34329677146417, Snew = 133.31671501999153 Snew - Sold = -0.02658175147263364 0.025055 seconds (53.15 k allocations: 4.735 MiB) 2 plaq_t = 0.08129892227486188 acceptance ratio 1.0 Sfold = 50.36314197012039 Sfnew = 54.229542526804984 Sold = 133.37041470108497, Snew = 133.33318753639057 Snew - Sold = -0.03722716469440002 0.043687 seconds (53.69 k allocations: 4.784 MiB, 43.01% gc time) 3 plaq_t = 0.085381492594236 acceptance ratio 1.0 Sfold = 36.03180403353117 Sfnew = 30.44918153639701 Sold = 115.23530846129475, Snew = 115.22763613803444 Snew - Sold = -0.007672323260308644 0.023889 seconds (53.40 k allocations: 4.757 MiB) 4 plaq_t = 0.07867796830918493 acceptance ratio 1.0 Sfold = 48.54670581745612 Sfnew = 47.03692675956209 Sold = 157.95020920971805, Snew = 158.02600921822477 Snew - Sold = 0.07580000850671809 0.025591 seconds (53.10 k allocations: 4.730 MiB) 5 plaq_t = 0.09092916137200956 acceptance ratio 1.0 Sfold = 47.02835134608459 Sfnew = 44.19636278316585 Sold = 134.92844186753007, Snew = 134.93158714295222 Snew - Sold = 0.0031452754221561463 0.040366 seconds (53.12 k allocations: 4.731 MiB) 6 plaq_t = 0.08283941268808227 acceptance ratio 1.0 Sfold = 45.999672487758815 Sfnew = 48.86678461050983 Sold = 125.8135348103939, Snew = 125.8263733216044 Snew - Sold = 0.0128385112104894 0.029529 seconds (53.16 k allocations: 4.735 MiB) 7 plaq_t = 0.10584645287152983 acceptance ratio 1.0 Sfold = 42.47751985592876 Sfnew = 47.13536126615762 Sold = 110.86526207743324, Snew = 110.83904934804141 Snew - Sold = -0.026212729391829726 0.023649 seconds (53.12 k allocations: 4.731 MiB) 8 plaq_t = 0.08747695614790651 acceptance ratio 1.0 Sfold = 51.156788799211164 Sfnew = 50.27084796084015 Sold = 132.19038187931017, Snew = 132.19231442342664 Snew - Sold = 0.0019325441164710355 0.023399 seconds (52.99 k allocations: 4.721 MiB) 9 plaq_t = 0.09576602989729026 acceptance ratio 1.0 Sfold = 47.89284096702753 Sfnew = 48.60820191368948 Sold = 130.270892278406, Snew = 130.25340377228147 Snew - Sold = -0.01748850612452202 0.023377 seconds (53.11 k allocations: 4.729 MiB) 10 plaq_t = 0.08337650514146593 acceptance ratio 1.0 Nf = 2 Sfold = 29.243712304527843 + 0.0im Sfold = 28.834877193901512 Sfnew = 25.340945112824432 Sold = 115.34183787284968, Snew = 115.3275037904334 Snew - Sold = -0.014334082416283422 0.417600 seconds (119.05 k allocations: 8.405 MiB, 94.02% compilation time) 1 plaq_t = 0.06349940727879617 acceptance ratio 1.0 Sfold = 26.018357363348887 Sfnew = 25.15485220612265 Sold = 117.87576475849067, Snew = 117.86904391838372 Snew - Sold = -0.006720840106950732 0.024631 seconds (55.79 k allocations: 4.967 MiB) 2 plaq_t = 0.05580887983429806 acceptance ratio 1.0 Sfold = 21.290828348092667 Sfnew = 22.32104618063273 Sold = 128.13158803001656, Snew = 128.1450193356628 Snew - Sold = 0.01343130564623607 0.024538 seconds (55.62 k allocations: 4.950 MiB) 3 plaq_t = 0.06715293894303567 acceptance ratio 1.0 Sfold = 28.21230589701008 Sfnew = 27.185769121791807 Sold = 113.3272787608935, Snew = 113.33040423228802 Snew - Sold = 0.003125471394511692 0.037022 seconds (54.79 k allocations: 4.878 MiB, 32.44% gc time) 4 plaq_t = 0.07657091337609594 acceptance ratio 1.0 Sfold = 17.142131157635003 Sfnew = 18.7911632661254 Sold = 122.61819747233025, Snew = 122.60075404830346 Snew - Sold = -0.01744342402679422 0.024686 seconds (55.12 k allocations: 4.908 MiB) 5 plaq_t = 0.06252408153748172 acceptance ratio 1.0 Sfold = 19.242081664475975 Sfnew = 22.12893480610673 Sold = 104.19747627077454, Snew = 104.19587067329375 Snew - Sold = -0.001605597480789811 0.024540 seconds (54.94 k allocations: 4.891 MiB) 6 plaq_t = 0.0733073475607686 acceptance ratio 1.0 Sfold = 22.55667947202205 Sfnew = 23.88166672361113 Sold = 127.20172042630885, Snew = 127.21834543652706 Snew - Sold = 0.01662501021820617 0.025375 seconds (54.91 k allocations: 4.890 MiB) 7 plaq_t = 0.05838899670090354 acceptance ratio 1.0 Sfold = 25.863018992748763 Sfnew = 32.51679729522404 Sold = 140.02321995978696, Snew = 140.0129376402122 Snew - Sold = -0.010282319574770327 0.033710 seconds (56.21 k allocations: 5.005 MiB) 8 plaq_t = 0.056250347145449256 acceptance ratio 1.0 Sfold = 19.176879711849008 Sfnew = 17.722326931799838 Sold = 118.78882656583754, Snew = 118.79568123497747 Snew - Sold = 0.006854669139926273 0.042614 seconds (55.74 k allocations: 4.964 MiB) 9 plaq_t = 0.060024063051445226 acceptance ratio 1.0 Sfold = 17.35914380323799 Sfnew = 25.590867287206073 Sold = 115.65593662715949, Snew = 115.65221769818311 Snew - Sold = -0.00371892897638304 0.040883 seconds (55.16 k allocations: 4.910 MiB) 10 plaq_t = 0.07326030551515271 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 = 49.099903970599286 + 0.0im Sfold = 53.109522692565335 Sfnew = 51.001264991332754 Sold = 157.30423220252368, Snew = 157.30262233025988 Snew - Sold = -0.0016098722637991614 1.375805 seconds (323.02 k allocations: 21.804 MiB, 96.25% compilation time) 1 plaq_t = 0.05073709947953674 acceptance ratio 1.0 Sfold = 46.18391586574807 Sfnew = 49.30066128405648 Sold = 160.51086840434272, Snew = 160.512377239762 Snew - Sold = 0.0015088354192869247 0.065717 seconds (83.08 k allocations: 8.768 MiB, 21.43% gc time) 2 plaq_t = 0.060567003964358025 acceptance ratio 1.0 Sfold = 50.76878163147124 Sfnew = 54.33104662850989 Sold = 156.25605951939227, Snew = 156.2440887909403 Snew - Sold = -0.011970728451956347 0.050816 seconds (82.73 k allocations: 8.738 MiB) 3 plaq_t = 0.04979998149411417 acceptance ratio 1.0 Sfold = 39.889744611979964 Sfnew = 40.67859179798801 Sold = 136.87777448625405, Snew = 136.88156939857728 Snew - Sold = 0.0037949123232294824 0.050915 seconds (82.51 k allocations: 8.718 MiB) 4 plaq_t = 0.05496545938054687 acceptance ratio 1.0 Sfold = 37.64640046815525 Sfnew = 34.08397978424298 Sold = 142.80145008341117, Snew = 142.7977728353455 Snew - Sold = -0.003677248065656613 0.051254 seconds (83.49 k allocations: 8.805 MiB) 5 plaq_t = 0.04983302405663732 acceptance ratio 1.0 Sfold = 46.538743306199756 Sfnew = 47.22859032400291 Sold = 130.16162149018749, Snew = 130.16492142274407 Snew - Sold = 0.003299932556586782 0.049851 seconds (82.93 k allocations: 8.756 MiB) 6 plaq_t = 0.07596976185786489 acceptance ratio 1.0 Sfold = 36.26346758873976 Sfnew = 40.60910069459465 Sold = 120.12404327172769, Snew = 120.1197498519958 Snew - Sold = -0.004293419731880022 0.049783 seconds (82.36 k allocations: 8.705 MiB) 7 plaq_t = 0.07018465810207808 acceptance ratio 1.0 Sfold = 48.02785953805681 Sfnew = 49.28552287436688 Sold = 139.714633076351, Snew = 139.71977481119632 Snew - Sold = 0.0051417348453242084 0.060396 seconds (82.12 k allocations: 8.684 MiB, 17.69% gc time) 8 plaq_t = 0.06798982175995293 acceptance ratio 1.0 Sfold = 45.6700969063835 Sfnew = 45.394740280568264 Sold = 123.89669449567023, Snew = 123.89846790427353 Snew - Sold = 0.0017734086032987761 0.047984 seconds (80.62 k allocations: 8.551 MiB) 9 plaq_t = 0.07459618522025546 acceptance ratio 1.0 Sfold = 42.210218732434434 Sfnew = 48.50132747158392 Sold = 110.52414288555784, Snew = 110.52155107274712 Snew - Sold = -0.0025918128107207394 0.049538 seconds (81.86 k allocations: 8.661 MiB) 10 plaq_t = 0.07783927021854424 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 = 706.6975708887039 + 0.0im Sfold = 754.6251645739351 Sfnew = 534.4369874600492 Sold = -3582.408180648815, Snew = -3584.6938873775184 Snew - Sold = -2.2857067287036443 21.652789 seconds (4.90 M allocations: 261.813 MiB, 0.42% gc time, 88.11% compilation time) 1 plaq_t = 0.8003890057731557 acceptance ratio 1.0 Sfold = 786.4825393441499 Sfnew = 669.8224444954892 Sold = -1856.3289658265955, Snew = -1857.255341567575 Snew - Sold = -0.926375740979438 3.553392 seconds (342.38 k allocations: 33.251 MiB) 2 plaq_t = 0.7067306569877922 acceptance ratio 1.0 Sfold = 791.6015984602992 Sfnew = 733.792376426036 Sold = -1173.2564576967561, Snew = -1173.7313734383733 Snew - Sold = -0.47491574161722383 4.133551 seconds (396.20 k allocations: 38.432 MiB, 0.24% gc time) 3 plaq_t = 0.6555580835375535 acceptance ratio 1.0 Sfold = 743.4700150842309 Sfnew = 740.1401391110761 Sold = -680.2364824203305, Snew = -680.5747809479273 Snew - Sold = -0.3382985275967485 4.539597 seconds (419.15 k allocations: 40.642 MiB, 0.23% gc time) 4 plaq_t = 0.6288687559019372 acceptance ratio 1.0 Sfold = 778.2628930055922 Sfnew = 737.0940698271884 Sold = -328.0537522055132, Snew = -328.14946874280895 Snew - Sold = -0.09571653729574336 4.997785 seconds (444.95 k allocations: 43.127 MiB, 0.07% gc time) 5 plaq_t = 0.607068771708756 acceptance ratio 1.0 Sfold = 790.2177994559709 Sfnew = 754.397483641156 Sold = -321.05041135882925, Snew = -320.80965205708367 Snew - Sold = 0.2407593017455838 5.471823 seconds (429.56 k allocations: 41.645 MiB, 0.13% gc time) 6 plaq_t = 0.6108388289645551 acceptance ratio 1.0 Sfold = 758.5958622060061 Sfnew = 744.3785415919556 Sold = -328.9378563104665, Snew = -328.90844697107923 Snew - Sold = 0.029409339387257205 5.254942 seconds (418.24 k allocations: 40.554 MiB, 0.07% gc time) 7 plaq_t = 0.6082501742876883 acceptance ratio 1.0 Sfold = 739.1166453200569 Sfnew = 715.0354477202278 Sold = -291.4812341254917, Snew = -291.50422659010235 Snew - Sold = -0.022992464610638308 4.248567 seconds (406.61 k allocations: 39.434 MiB, 0.09% gc time) 8 plaq_t = 0.5959879418959221 acceptance ratio 1.0 Sfold = 779.8938217662896 Sfnew = 801.1369200029679 Sold = -281.67070268517205, Snew = -281.71746680077933 Snew - Sold = -0.04676411560728866 4.540422 seconds (410.66 k allocations: 39.824 MiB, 0.30% gc time) 9 plaq_t = 0.600337520794779 acceptance ratio 1.0 Sfold = 757.1239337795536 Sfnew = 713.6521135578378 Sold = -279.28468835931847, Snew = -279.41882436395645 Snew - Sold = -0.13413600463798048 4.236181 seconds (398.46 k allocations: 38.649 MiB, 0.08% gc time) 10 plaq_t = 0.6006524912258381 acceptance ratio 1.0 Nf = 4 Sfold = 388.49093068982256 + 0.0im Sfold = 311.4412803598996 Sfnew = 332.5212608420722 Sold = -637.6866261187463, Snew = -637.75210083962 Snew - Sold = -0.06547472087368078 4.587681 seconds (467.43 k allocations: 42.352 MiB, 0.72% gc time, 9.32% compilation time) 1 plaq_t = 0.583820243543252 acceptance ratio 1.0 Sfold = 362.74220715293046 Sfnew = 401.8423626634457 Sold = -507.84568253446326, Snew = -508.13099277527505 Snew - Sold = -0.285310240811782 4.537004 seconds (432.30 k allocations: 41.906 MiB, 0.79% gc time) 2 plaq_t = 0.5800874734845551 acceptance ratio 1.0 Sfold = 378.84748834076277 Sfnew = 372.91549269388196 Sold = -361.4339389844188, Snew = -361.5330563976402 Snew - Sold = -0.09911741322144962 5.225292 seconds (422.09 k allocations: 40.922 MiB, 0.09% gc time) 3 plaq_t = 0.5704294870641609 acceptance ratio 1.0 Sfold = 407.0673708685855 Sfnew = 406.0696783218608 Sold = -271.768282650435, Snew = -271.80164507030815 Snew - Sold = -0.0333624198731286 4.640099 seconds (444.05 k allocations: 43.038 MiB, 0.08% gc time) 4 plaq_t = 0.5705183884749553 acceptance ratio 1.0 Sfold = 392.6936433058967 Sfnew = 391.1854475121021 Sold = -270.76846320863893, Snew = -270.7844524788503 Snew - Sold = -0.01598927021137797 5.188807 seconds (477.02 k allocations: 46.213 MiB, 0.27% gc time) 5 plaq_t = 0.5787448875606622 acceptance ratio 1.0 Sfold = 405.4479449678107 Sfnew = 379.5664186764193 Sold = -356.4509178712773, Snew = -356.35886430600976 Snew - Sold = 0.09205356526751984 5.303148 seconds (490.97 k allocations: 47.558 MiB, 0.07% gc time) 6 plaq_t = 0.5787448875606622 acceptance ratio 0.8333333333333334 Sfold = 388.1794206065396 Sfnew = 403.81194998320495 Sold = -467.1350548345595, Snew = -467.28526782630354 Snew - Sold = -0.15021299174401292 5.064618 seconds (466.10 k allocations: 45.163 MiB, 0.14% gc time) 7 plaq_t = 0.5841526709930783 acceptance ratio 0.8571428571428571 Sfold = 389.7672955373844 Sfnew = 384.76951433884545 Sold = -525.446212049121, Snew = -525.3693741322218 Snew - Sold = 0.07683791689919417 5.650170 seconds (428.70 k allocations: 41.559 MiB, 0.06% gc time) 8 plaq_t = 0.5824480238692836 acceptance ratio 0.875 Sfold = 397.1958891637707 Sfnew = 395.8085786005362 Sold = -439.3380608161859, Snew = -439.3006308153359 Snew - Sold = 0.03743000084995174 4.811646 seconds (450.44 k allocations: 43.654 MiB, 0.08% gc time) 9 plaq_t = 0.5655505662266789 acceptance ratio 0.8888888888888888 Sfold = 377.4953954595965 Sfnew = 358.2777854223245 Sold = -291.3888848732524, Snew = -291.403407659419 Snew - Sold = -0.014522786166594415 6.264599 seconds (509.95 k allocations: 49.387 MiB, 0.11% gc time) 10 plaq_t = 0.5564059268185259 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 = 748.3527910397463 + 0.0im Sfold = 775.3210933093567 Sfnew = 764.0018845911628 Sold = 93.42202770607742, Snew = 93.46925199194277 Snew - Sold = 0.04722428586535443 8.325465 seconds (901.77 k allocations: 93.501 MiB, 0.59% gc time, 18.16% compilation time) 1 plaq_t = 0.5564059268185259 acceptance ratio 0.0 Sfold = 767.3254070928783 Sfnew = 768.6641031703936 Sold = 110.07851707206555, Snew = 110.0657212977909 Snew - Sold = -0.012795774274650284 6.618562 seconds (603.79 k allocations: 76.299 MiB, 0.16% gc time) 2 plaq_t = 0.5680959790069097 acceptance ratio 0.5 Sfold = 732.7521076030787 Sfnew = 728.2662239926665 Sold = 75.09527764405061, Snew = 75.08258230909337 Snew - Sold = -0.012695334957243176 6.903175 seconds (639.42 k allocations: 79.714 MiB, 0.31% gc time) 3 plaq_t = 0.5542577711123302 acceptance ratio 0.6666666666666666 Sfold = 770.8316928273666 Sfnew = 767.3992137217218 Sold = 83.69479594785207, Snew = 83.75690100362215 Snew - Sold = 0.06210505577007552 7.255411 seconds (673.58 k allocations: 82.987 MiB, 0.10% gc time) 4 plaq_t = 0.5617863944244579 acceptance ratio 0.75 Sfold = 793.5187869558384 Sfnew = 800.5215234594392 Sold = 141.7813753204831, Snew = 141.80287465026538 Snew - Sold = 0.02149932978227298 7.077151 seconds (636.67 k allocations: 79.450 MiB, 0.16% gc time) 5 plaq_t = 0.5530234881490924 acceptance ratio 0.8 Sfold = 791.494203580719 Sfnew = 788.9432110877646 Sold = 177.79256698992697, Snew = 177.84462741939876 Snew - Sold = 0.05206042947179412 7.683587 seconds (659.25 k allocations: 81.613 MiB, 0.23% gc time) 6 plaq_t = 0.5577282564176103 acceptance ratio 0.8333333333333334 Sfold = 818.2964992503782 Sfnew = 807.0257703162065 Sold = 105.76121139395195, Snew = 105.80710385458997 Snew - Sold = 0.04589246063801511 6.761455 seconds (643.43 k allocations: 80.098 MiB, 0.14% gc time) 7 plaq_t = 0.5623075457790969 acceptance ratio 0.8571428571428571 Sfold = 814.2805565732443 Sfnew = 812.4338879688246 Sold = 314.16101666986845, Snew = 314.07508833632323 Snew - Sold = -0.0859283335452119 7.010620 seconds (645.11 k allocations: 80.257 MiB, 0.09% gc time) 8 plaq_t = 0.5493471264857755 acceptance ratio 0.875 Sfold = 758.4937148171718 Sfnew = 780.8891225915735 Sold = 307.6710365389515, Snew = 307.61792477142023 Snew - Sold = -0.05311176753127711 7.629588 seconds (671.72 k allocations: 82.808 MiB, 0.14% gc time) 9 plaq_t = 0.54467165284122 acceptance ratio 0.8888888888888888 Sfold = 730.5251340717892 Sfnew = 727.142447354522 Sold = 107.0257656506152, Snew = 107.08212766344138 Snew - Sold = 0.05636201282618458 6.713156 seconds (628.98 k allocations: 78.712 MiB, 0.15% gc time) 10 plaq_t = 0.5654381011075208 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/CDI0g/test/hmc.jl:4 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/wilsonhmc.jl:9. WARNING: Method definition calc_action(Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/hmc.jl:27 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/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/CDI0g/test/hmc.jl:36 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/wilsonhmc.jl:46. WARNING: Method definition U_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/hmc.jl:77 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/wilsonhmc.jl:106. WARNING: Method definition P_update!(Any, Any, Any, Any, Any, Any) in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/hmc.jl:92 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/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/CDI0g/test/hmc.jl:105 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/wilsonhmc.jl:134. WARNING: Method definition test1_2D() in module Main at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/test/hmc.jl:161 overwritten at /home/pkgeval/.julia/packages/LatticeDiracOperators/CDI0g/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 13.733753 seconds (2.95 M allocations: 152.373 MiB, 0.35% gc time, 99.91% compilation time) 1 plaq_t = 0.24943918790497283 acceptance ratio 1.0 Sfold = 111.91697443059404 Sold = 180.43708987166025 Sfnew = 108.58604359386078 Sold = 180.43708987166025, Snew = 180.43283408142156 Snew - Sold = -0.004255790238687496 0.011372 seconds (5.62 k allocations: 438.734 KiB) 2 plaq_t = 0.22975341043250846 acceptance ratio 1.0 Sfold = 83.30006826489723 Sold = 178.13028378168826 Sfnew = 81.62579878650499 Sold = 178.13028378168826, Snew = 178.15336918549795 Snew - Sold = 0.023085403809687932 0.011359 seconds (5.64 k allocations: 440.141 KiB) 3 plaq_t = 0.2352724676570766 acceptance ratio 1.0 Sfold = 78.63210870279464 Sold = 171.6122377548332 Sfnew = 79.11307122444494 Sold = 171.6122377548332, Snew = 171.61358635387404 Snew - Sold = 0.001348599040852605 0.011522 seconds (5.74 k allocations: 447.500 KiB) 4 plaq_t = 0.2351469955655649 acceptance ratio 1.0 Sfold = 103.9837193051825 Sold = 178.08557782608796 Sfnew = 102.69081154676066 Sold = 178.08557782608796, Snew = 178.0989055918697 Snew - Sold = 0.013327765781752987 0.011438 seconds (5.63 k allocations: 439.688 KiB) 5 plaq_t = 0.24161034527021874 acceptance ratio 1.0 Sfold = 86.14553169723435 Sold = 189.54267518144223 Sfnew = 88.95208242974616 Sold = 189.54267518144223, Snew = 189.50847300633043 Snew - Sold = -0.034202175111801125 0.011704 seconds (5.81 k allocations: 452.219 KiB) 6 plaq_t = 0.246590850262229 acceptance ratio 1.0 Sfold = 107.20024731925146 Sold = 195.3985627465491 Sfnew = 108.10474908862015 Sold = 195.3985627465491, Snew = 195.43529330027013 Snew - Sold = 0.036730553721042725 0.011427 seconds (5.70 k allocations: 444.656 KiB) 7 plaq_t = 0.23773765111335093 acceptance ratio 1.0 Sfold = 90.58505902394725 Sold = 169.85213588989365 Sfnew = 82.92028758926816 Sold = 169.85213588989365, Snew = 169.8739559908839 Snew - Sold = 0.021820100990254332 0.011162 seconds (5.55 k allocations: 433.844 KiB) 8 plaq_t = 0.255407853186968 acceptance ratio 1.0 Sfold = 100.13894152530283 Sold = 181.48069248217257 Sfnew = 97.77272179894983 Sold = 181.48069248217257, Snew = 181.5080064429007 Snew - Sold = 0.02731396072812231 0.011531 seconds (5.75 k allocations: 448.516 KiB) 9 plaq_t = 0.23953287153808148 acceptance ratio 1.0 Sfold = 92.55287572194491 Sold = 191.8606383954595 Sfnew = 90.96378028708642 Sold = 191.8606383954595, Snew = 191.80699378183755 Snew - Sold = -0.05364461362194106 0.011148 seconds (5.58 k allocations: 436.125 KiB) 10 plaq_t = 0.18701678416706446 acceptance ratio 1.0 4D HMC ---------------------------------------------- Structure of the actions for Gaugefields num. of terms: 1 ------------------------------- 1-st term: coefficient: 2.75 + 0.0im ------------------------- 1-st loop L"$U_{1}(n)U_{2}(n+e_{1})U^{\dagger}_{1}(n+e_{2})U^{\dagger}_{2}(n)$" 2-nd loop L"$U_{1}(n)U_{3}(n+e_{1})U^{\dagger}_{1}(n+e_{3})U^{\dagger}_{3}(n)$" 3-rd loop L"$U_{1}(n)U_{4}(n+e_{1})U^{\dagger}_{1}(n+e_{4})U^{\dagger}_{4}(n)$" 4-th loop L"$U_{2}(n)U_{3}(n+e_{2})U^{\dagger}_{2}(n+e_{3})U^{\dagger}_{3}(n)$" 5-th loop L"$U_{2}(n)U_{4}(n+e_{2})U^{\dagger}_{2}(n+e_{4})U^{\dagger}_{4}(n)$" 6-th loop L"$U_{3}(n)U_{4}(n+e_{3})U^{\dagger}_{3}(n+e_{4})U^{\dagger}_{4}(n)$" 7-th loop L"$U_{2}(n)U_{1}(n+e_{2})U^{\dagger}_{2}(n+e_{1})U^{\dagger}_{1}(n)$" 8-th loop L"$U_{3}(n)U_{1}(n+e_{3})U^{\dagger}_{3}(n+e_{1})U^{\dagger}_{1}(n)$" 9-th loop L"$U_{4}(n)U_{1}(n+e_{4})U^{\dagger}_{4}(n+e_{1})U^{\dagger}_{1}(n)$" 10-th loop L"$U_{3}(n)U_{2}(n+e_{3})U^{\dagger}_{3}(n+e_{2})U^{\dagger}_{2}(n)$" 11-th loop L"$U_{4}(n)U_{2}(n+e_{4})U^{\dagger}_{4}(n+e_{2})U^{\dagger}_{2}(n)$" 12-th loop L"$U_{4}(n)U_{3}(n+e_{4})U^{\dagger}_{4}(n+e_{3})U^{\dagger}_{3}(n)$" ------------------------- ---------------------------------------------- Sfold = 3149.733640746476 Sold = -1306.9431005828678 Sfnew = 3032.5326759986274 Sold = -1306.9431005828678, Snew = -1326.639251534897 Snew - Sold = -19.696150952029257 10.451577 seconds (2.26 M allocations: 119.812 MiB, 4.08% gc time, 87.61% 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 1.191421 seconds (27.06 k allocations: 2.702 MiB) 2 plaq_t = 2.1370599761892843 acceptance ratio 1.0 Sfold = 3047.174800199926 Sold = 1128.8389485210255 Sfnew = 3011.255662091788 Sold = 1128.8389485210255, Snew = 1123.1897368719742 Snew - Sold = -5.649211649051267 1.174845 seconds (26.86 k allocations: 2.683 MiB) 3 plaq_t = 1.9307618947047456 acceptance ratio 1.0 Sfold = 3112.116622726544 Sold = 1760.7081917752066 Sfnew = 3083.8920284270853 Sold = 1760.7081917752066, Snew = 1758.3432707115885 Snew - Sold = -2.3649210636181124 1.172067 seconds (27.11 k allocations: 2.707 MiB) 4 plaq_t = 1.8380944912704618 acceptance ratio 1.0 Sfold = 2987.369432215807 Sold = 1911.2710780635489 Sfnew = 2957.2661895851998 Sold = 1911.2710780635489, Snew = 1910.3835255691833 Snew - Sold = -0.8875524943655364 1.162075 seconds (26.79 k allocations: 2.677 MiB) 5 plaq_t = 1.7938626888149827 acceptance ratio 1.0 Sfold = 3073.8815614027258 Sold = 2214.8229668318213 Sfnew = 3058.112176164207 Sold = 2214.8229668318213, Snew = 2213.0958284189765 Snew - Sold = -1.7271384128448517 1.228106 seconds (27.07 k allocations: 2.703 MiB) 6 plaq_t = 1.674883601431173 acceptance ratio 1.0 Sfold = 3148.7041239852806 Sold = 2582.6158645979613 Sfnew = 3157.3006166633977 Sold = 2582.6158645979613, Snew = 2582.538104381031 Snew - Sold = -0.07776021693007351 1.432141 seconds (26.79 k allocations: 2.677 MiB) 7 plaq_t = 1.6561166543820773 acceptance ratio 1.0 Sfold = 3119.1278615664214 Sold = 2700.1239684881584 Sfnew = 3092.1990380368898 Sold = 2700.1239684881584, Snew = 2700.1767651498158 Snew - Sold = 0.05279666165733943 1.561413 seconds (26.73 k allocations: 2.672 MiB) 8 plaq_t = 1.606972823301405 acceptance ratio 1.0 Sfold = 3076.9243027644766 Sold = 2551.08252447882 Sfnew = 3070.9202385838007 Sold = 2551.08252447882, Snew = 2551.691215964287 Snew - Sold = 0.6086914854672614 1.404639 seconds (26.75 k allocations: 2.673 MiB) 9 plaq_t = 1.6434960442435966 acceptance ratio 1.0 Sfold = 3036.68171677594 Sold = 2520.5793124239335 Sfnew = 3063.06292755474 Sold = 2520.5793124239335, Snew = 2520.0130249640624 Snew - Sold = -0.5662874598710914 1.190015 seconds (26.71 k allocations: 2.670 MiB) 10 plaq_t = 1.6500843989919027 acceptance ratio 1.0 -0.09769807970464447 - 0.50176038030378im BICG -------------------------------------- bicg method 1-th eps: 577.7532629701338 2-th eps: 182.67451100311052 3-th eps: 75.40547105383826 4-th eps: 37.17809267607411 5-th eps: 20.022464648831505 6-th eps: 10.911775167414302 7-th eps: 5.936450327902636 8-th eps: 3.766137582778646 9-th eps: 1.8564009561134687 10-th eps: 0.42563370164269565 11-th eps: 0.07329228997495917 12-th eps: 0.01258054252476794 13-th eps: 0.0024103479955539697 14-th eps: 0.0004497493041449745 15-th eps: 9.195520705062352e-5 16-th eps: 1.4033665713199712e-5 17-th eps: 1.510340570062168e-6 18-th eps: 6.203152173196465e-8 19-th eps: 5.57600617539349e-11 Converged at 19-th step. eps: 5.57600617539349e-11 -------------------------------------- 0.391243 seconds (48.01 k allocations: 2.642 MiB, 83.72% compilation time) 3682.3999065737466 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 86.32483541451305 2-th eps: 11.91030223040353 3-th eps: 6.964753424774027 4-th eps: 0.4045039690574669 5-th eps: 0.9073891381497121 6-th eps: 0.047566299068984894 7-th eps: 0.022933911870036204 8-th eps: 0.005900384111946191 9-th eps: 0.01635235421665177 10-th eps: 0.0015261100586997866 11-th eps: 0.0005573136571671431 12-th eps: 0.0004936527633753686 13-th eps: 5.4834837734141165e-6 14-th eps: 4.0616309307807317e-7 15-th eps: 8.57007278449589e-9 16-th eps: 7.672446025523911e-13 Converged at 16-th step. eps: 7.672446025523911e-13 -------------------------------------- 0.331523 seconds (45.23 k allocations: 2.488 MiB, 82.18% compilation time) 3682.3997799546255 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 577.7532629701338 2-th eps: 182.67451100311052 3-th eps: 75.40547105383826 4-th eps: 37.17809267607411 5-th eps: 20.022464648831505 6-th eps: 10.911775167414302 7-th eps: 5.936450327902636 8-th eps: 3.766137582778646 9-th eps: 1.8564009561134687 10-th eps: 0.42563370164269565 11-th eps: 0.07329228997495917 12-th eps: 0.01258054252476794 13-th eps: 0.0024103479955539697 14-th eps: 0.0004497493041449745 15-th eps: 9.195520705062352e-5 16-th eps: 1.4033665713199712e-5 17-th eps: 1.510340570062168e-6 18-th eps: 6.203152173196465e-8 19-th eps: 5.57600617539349e-11 Converged at 19-th step. eps: 5.57600617539349e-11 -------------------------------------- 0.062483 seconds (1.28 k allocations: 123.656 KiB) 3682.3999065737466 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 86.32483541451305 2-th eps: 11.91030223040353 3-th eps: 6.964753424774027 4-th eps: 0.4045039690574669 5-th eps: 0.9073891381497121 6-th eps: 0.047566299068984894 7-th eps: 0.022933911870036204 8-th eps: 0.005900384111946191 9-th eps: 0.01635235421665177 10-th eps: 0.0015261100586997866 11-th eps: 0.0005573136571671431 12-th eps: 0.0004936527633753686 13-th eps: 5.4834837734141165e-6 14-th eps: 4.0616309307807317e-7 15-th eps: 8.57007278449589e-9 16-th eps: 7.672446025523911e-13 Converged at 16-th step. eps: 7.672446025523911e-13 -------------------------------------- 0.056798 seconds (1.09 k allocations: 105.625 KiB) 3682.3997799546255 + 0.0im BICG -------------------------------------- bicg method 1-th eps: 577.7532629701338 2-th eps: 182.67451100311052 3-th eps: 75.40547105383826 4-th eps: 37.17809267607411 5-th eps: 20.022464648831505 6-th eps: 10.911775167414302 7-th eps: 5.936450327902636 8-th eps: 3.766137582778646 9-th eps: 1.8564009561134687 10-th eps: 0.42563370164269565 11-th eps: 0.07329228997495917 12-th eps: 0.01258054252476794 13-th eps: 0.0024103479955539697 14-th eps: 0.0004497493041449745 15-th eps: 9.195520705062352e-5 16-th eps: 1.4033665713199712e-5 17-th eps: 1.510340570062168e-6 18-th eps: 6.203152173196465e-8 19-th eps: 5.57600617539349e-11 Converged at 19-th step. eps: 5.57600617539349e-11 -------------------------------------- 0.060657 seconds (1.28 k allocations: 123.656 KiB) 3682.3999065737466 + 0.0im BICGstab -------------------------------------- bicg-stab method 1-th eps: 86.32483541451305 2-th eps: 11.91030223040353 3-th eps: 6.964753424774027 4-th eps: 0.4045039690574669 5-th eps: 0.9073891381497121 6-th eps: 0.047566299068984894 7-th eps: 0.022933911870036204 8-th eps: 0.005900384111946191 9-th eps: 0.01635235421665177 10-th eps: 0.0015261100586997866 11-th eps: 0.0005573136571671431 12-th eps: 0.0004936527633753686 13-th eps: 5.4834837734141165e-6 14-th eps: 4.0616309307807317e-7 15-th eps: 8.57007278449589e-9 16-th eps: 7.672446025523911e-13 Converged at 16-th step. eps: 7.672446025523911e-13 -------------------------------------- 0.056122 seconds (1.09 k allocations: 105.625 KiB) 3682.3997799546255 + 0.0im Sfold = 3111.2814681589057 + 0.0im -------------------------------------- cg method 1-th eps: 622.3061593302499 2-th eps: 177.553123436217 3-th eps: 57.92679001489811 4-th eps: 20.88629695205063 5-th eps: 8.447045968395196 6-th eps: 3.3009247725738255 7-th eps: 1.688441257677764 8-th eps: 1.102647089962187 9-th eps: 1.0804040832225514 10-th eps: 0.3569950755641979 11-th eps: 0.05744598408111888 12-th eps: 0.01057512204800136 13-th eps: 0.0023896803273668553 14-th eps: 0.000323119755782082 15-th eps: 8.493414469813716e-5 16-th eps: 1.0766684329866608e-5 17-th eps: 1.2165870953255908e-6 18-th eps: 6.58363963639535e-8 19-th eps: 4.550526781510796e-11 20-th eps: 2.696437499072086e-17 21-th eps: 1.8845681922663236e-25 Converged at 21-th step. eps: 1.8845681922663236e-25 -------------------------------------- -------------------------------------- bicg method 1-th eps: 150.32999963294006 2-th eps: 64.00920528643695 3-th eps: 29.242705218416578 4-th eps: 15.101142025823508 5-th eps: 8.318901302594142 6-th eps: 4.628761534626303 7-th eps: 2.6626806272579304 8-th eps: 1.5918676536341745 9-th eps: 0.47651310380415396 10-th eps: 0.06706238018883469 11-th eps: 0.011888452059157253 12-th eps: 0.0022105331088383357 13-th eps: 0.0004865403929774701 14-th eps: 0.00010876465929530111 15-th eps: 1.5702252136903925e-5 16-th eps: 2.3971321348532936e-6 17-th eps: 1.6910083171245082e-7 18-th eps: 3.3754944020521946e-9 19-th eps: 1.4563421157615324e-12 20-th eps: 5.727873617665655e-17 21-th eps: 1.8657096624508823e-26 Converged at 21-th step. eps: 1.8657096624508823e-26 -------------------------------------- Sfnew = 3111.2814681589075 Test Summary: | Pass Total Time LatticeDiracOperators.jl | 22 22 5m50.6s Testing LatticeDiracOperators tests passed Testing completed after 371.25s PkgEval succeeded after 460.65s