Package evaluation of RandomMeas on Julia 1.13.0-DEV.912 (a2457e6ed7*) started at 2025-07-28T05:30:18.441


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.58s


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# Installation
#

Installing RandomMeas...
   Resolving package versions...
    Updating `~/.julia/environments/v1.13/Project.toml`
  [a9f96d1f] + RandomMeas v0.2.0
    Updating `~/.julia/environments/v1.13/Manifest.toml`
  [621f4979] + AbstractFFTs v1.5.0
  [7d9f7c33] + Accessors v0.1.42
  [79e6a3ab] + Adapt v4.3.0
  [66dad0bd] + AliasTables v1.1.3
  [dce04be8] + ArgCheck v2.5.0
  [4fba245c] + ArrayInterface v7.19.0
  [4c555306] + ArrayLayouts v1.11.2
  [198e06fe] + BangBang v0.4.4
  [9718e550] + Baselet v0.1.1
  [6e4b80f9] + BenchmarkTools v1.6.0
  [d1d4a3ce] + BitFlags v0.1.9
  [c3b6d118] + BitIntegers v0.3.5
  [8e7c35d0] + BlockArrays v1.7.0
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.2
  [da1fd8a2] + CodeTracking v2.0.0
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.17.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.18.22
  [e2d170a0] + DataValueInterfaces v1.0.0
  [244e2a9f] + DefineSingletons v0.1.2
  [8bb1440f] + DelimitedFiles v1.9.1
  [85a47980] + Dictionaries v0.4.5
  [163ba53b] + DiffResults v1.1.0
  [b552c78f] + DiffRules v1.15.1
  [ffbed154] + DocStringExtensions v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.4
  [5789e2e9] + FileIO v1.17.0
  [1a297f60] + FillArrays v1.13.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.0.1
  [d9f16b24] + Functors v0.5.2
  [46192b85] + GPUArraysCore v0.2.0
  [28b8d3ca] + GR v0.73.17
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.17
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.15
  [0d1a4710] + ITensorMPS v0.3.18
  [9136182c] + ITensors v0.9.7
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.4
  [3587e190] + InverseFunctions v0.1.17
  [92d709cd] + IrrationalConstants v0.2.4
  [28f27b66] + IsApprox v2.0.0
  [82899510] + IteratorInterfaceExtensions v1.0.0
  [1019f520] + JLFzf v0.1.11
  [692b3bcd] + JLLWrappers v1.7.1
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.4
  [0b1a1467] + KrylovKit v0.9.5
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.8
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.4.3
  [1914dd2f] + MacroTools v0.5.16
  [739be429] + MbedTLS v1.1.9
  [442fdcdd] + Measures v0.3.2
  [128add7d] + MicroCollections v0.2.0
  [e1d29d7a] + Missings v1.2.0
  [23ae76d9] + NDTensors v0.4.9
  [15e1cf62] + NPZ v0.4.3
  [77ba4419] + NaNMath v1.1.3
  [4d8831e6] + OpenSSL v1.5.0
  [77e91f04] + OptimKit v0.4.0
  [bac558e1] + OrderedCollections v1.8.1
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.17
  [aea7be01] + PrecompileTools v1.3.2
  [21216c6a] + Preferences v1.4.3
  [92933f4c] + ProgressMeter v1.10.4
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.2.0
  [c1ae055f] + RealDot v0.1.0
  [3cdcf5f2] + RecipesBase v1.3.4
  [01d81517] + RecipesPipeline v0.6.12
  [189a3867] + Reexport v1.2.2
  [42d2dcc6] + Referenceables v0.1.3
  [05181044] + RelocatableFolders v1.0.1
  [ae029012] + Requires v1.3.1
  [295af30f] + Revise v3.8.1
  [7e506255] + ScopedValues v1.4.0
  [6c6a2e73] + Scratch v1.3.0
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
  [992d4aef] + Showoff v1.0.3
  [777ac1f9] + SimpleBufferStream v1.2.0
  [699a6c99] + SimpleTraits v0.9.4
  [a2af1166] + SortingAlgorithms v1.2.1
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.14
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.29
  [3bb67fe8] + TranscodingStreams v0.11.3
  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
  [5c2747f8] + URIs v1.6.1
  [1cfade01] + UnicodeFun v0.4.1
  [1986cc42] + Unitful v1.23.1
  [45397f5d] + UnitfulLatexify v1.7.0
  [41fe7b60] + Unzip v0.2.0
  [409d34a3] + VectorInterface v0.5.0
  [bd1ec220] + Zeros v0.3.0
  [a5390f91] + ZipFile v0.10.1
  [e88e6eb3] + Zygote v0.7.10
  [700de1a5] + ZygoteRules v0.2.7
  [6e34b625] + Bzip2_jll v1.0.9+0
  [83423d85] + Cairo_jll v1.18.5+0
  [ee1fde0b] + Dbus_jll v1.16.2+0
  [2702e6a9] + EpollShim_jll v0.0.20230411+1
  [2e619515] + Expat_jll v2.6.5+0
  [b22a6f82] + FFMPEG_jll v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.16.0+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.0+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.0+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.5.2+0
  [36c8627f] + Pango_jll v1.56.3+0
⌅ [30392449] + Pixman_jll v0.44.2+0
  [c0090381] + Qt6Base_jll v6.8.2+1
  [629bc702] + Qt6Declarative_jll v6.8.2+1
  [ce943373] + Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] + Qt6Wayland_jll v6.8.2+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.24.0+0
  [ffd25f8a] + XZ_jll v5.8.1+0
  [f67eecfb] + Xorg_libICE_jll v1.1.2+0
  [c834827a] + Xorg_libSM_jll v1.2.6+0
  [4f6342f7] + Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] + Xorg_libXau_jll v1.0.13+0
  [935fb764] + Xorg_libXcursor_jll v1.2.4+0
  [a3789734] + Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] + Xorg_libXext_jll v1.3.7+0
  [d091e8ba] + Xorg_libXfixes_jll v6.0.1+0
  [a51aa0fd] + Xorg_libXi_jll v1.8.3+0
  [d1454406] + Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] + Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] + Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] + Xorg_libxcb_jll v1.17.1+0
  [cc61e674] + Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] + Xorg_xcb_util_cursor_jll v0.1.5+0
  [12413925] + Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] + Xorg_xcb_util_jll v0.4.1+0
  [975044d2] + Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] + Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] + Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] + Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] + Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] + Xorg_xtrans_jll v1.6.0+0
  [35ca27e7] + eudev_jll v3.2.14+0
  [214eeab7] + fzf_jll v0.61.1+0
  [a4ae2306] + libaom_jll v3.12.1+0
  [0ac62f75] + libass_jll v0.17.4+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.13.4+0
  [f638f0a6] + libfdk_aac_jll v2.0.4+0
  [36db933b] + libinput_jll v1.28.1+0
  [b53b4c65] + libpng_jll v1.6.50+0
  [f27f6e37] + libvorbis_jll v1.3.8+0
  [009596ad] + mtdev_jll v1.1.7+0
  [1270edf5] + x264_jll v10164.0.1+0
  [dfaa095f] + x265_jll v4.1.0+0
  [d8fb68d0] + xkbcommon_jll v1.9.2+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
  [9fa8497b] + Future v1.11.0
  [b77e0a4c] + InteractiveUtils v1.11.0
  [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0
  [b27032c2] + LibCURL v0.6.4
  [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
  [9abbd945] + Profile v1.11.0
  [3fa0cd96] + REPL 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 v1.13.0
  [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
  [deac9b47] + LibCURL_jll v8.15.0+0
  [e37daf67] + LibGit2_jll v1.9.1+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.7.15
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.1+0
  [efcefdf7] + PCRE2_jll v10.45.0+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 v5.13.1+0
  [8e850ede] + nghttp2_jll v1.65.0+0
  [3f19e933] + p7zip_jll v17.5.0+2
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

Installation completed after 6.66s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 207.15s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_nqb3Ht/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.17
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.8.1
  [2913bbd2] StatsBase v0.34.5
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_nqb3Ht/Manifest.toml`
  [621f4979] AbstractFFTs v1.5.0
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [dce04be8] ArgCheck v2.5.0
  [4fba245c] ArrayInterface v7.19.0
  [4c555306] ArrayLayouts v1.11.2
  [198e06fe] BangBang v0.4.4
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.6.0
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.7.0
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.25.2
  [da1fd8a2] CodeTracking v2.0.0
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.17.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.4
  [5789e2e9] FileIO v1.17.0
  [1a297f60] FillArrays v1.13.0
  [53c48c17] FixedPointNumbers v0.8.5
  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.0.1
  [d9f16b24] Functors v0.5.2
  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.17
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.17
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.15
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.4
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.4
  [28f27b66] IsApprox v2.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.4
  [0b1a1467] KrylovKit v0.9.5
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.8
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.3
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [128add7d] MicroCollections v0.2.0
  [e1d29d7a] Missings v1.2.0
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⌅ [30392449] Pixman_jll v0.44.2+0
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  [a44049a8] Vulkan_Loader_jll v1.3.243+0
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  [458c3c95] OpenSSL_jll v3.5.1+0
  [efcefdf7] PCRE2_jll v10.45.0+0
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        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading.
     Testing Running tests...
filenames = ["test_dense_shadows.jl", "test_estimators.jl", "test_factorized_shadows.jl", "test_measurement_data.jl", "test_measurement_group.jl", "test_measurement_probability.jl", "test_measurement_setting.jl", "test_shadow_analysis.jl", "test_shallow_shadows.jl", "test_tensornetworkutilities.jl", "test_trace_moments.jl"]
Running test_dense_shadows.jl
108.618387 seconds (98.11 M allocations: 5.206 GiB, 2.29% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.974439393939394
overlap = 0.5335509999999999
fidelity = 0.5475747211752237
exact_fidelity = 0.52592079520295
XEB = 2.225626101643097
self_XEB = 2.322534479208913
102.277121 seconds (72.69 M allocations: 3.981 GiB, 1.79% gc time, 99.58% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.132170 seconds (5.36 M allocations: 300.492 MiB, 1.92% gc time, 98.77% compilation time: 4% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=270|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=270|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.2241599257218767 - 0.8846970809430337im  -0.36337091648979497 - 0.1871496185425034im
 0.16344178486319627 + 0.3746334016501608im   -0.8972600974510818 + 0.16691589154672237im, ITensor ord=2
Dim 1: (dim=2|id=419|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=419|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.48224274731645767 - 0.07288466836897609im   0.8410826822926893 - 0.23390100325726326im
 -0.3530608382473445 + 0.7984220702570177im   0.14184952437758125 - 0.4666357837290602im, ITensor ord=2
Dim 1: (dim=2|id=89|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=89|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.7113332875649037 + 0.6876653089108773im   -0.0223029105011152 + 0.14361043522597214im
 -0.09633000081330914 + 0.10882053053501327im   0.9833839530589721 + 0.10878705779409309im, ITensor ord=2
Dim 1: (dim=2|id=776|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=776|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.8140412401880495 - 0.036562355106366975im  0.037088753088941474 + 0.5784673524551631im
  -0.458347783380083 + 0.35484836611254494im    -0.5659166677197525 - 0.5862919679944399im], Index{Int64}[(dim=2|id=270|"Qubit,Site,n=1"), (dim=2|id=419|"Qubit,Site,n=2"), (dim=2|id=89|"Qubit,Site,n=3"), (dim=2|id=776|"Qubit,Site,n=4")])
┌ Warning: Measurement setting not found in the file and not provided; defaulting to nothing.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/MeasurementData.jl:248
118.640898 seconds (72.47 M allocations: 3.940 GiB, 1.02% gc time, 99.82% compilation time: 5% of which was recompilation)
Running test_measurement_group.jl
We are constructing a MeasurementGroup object with measurement settings of type LocalUnitaryMeasurementSetting.
We are constructing a MeasurementGroup object with measurement settings of type Nothing.
 11.923487 seconds (4.85 M allocations: 323.844 MiB, 0.41% gc time, 97.10% compilation time)
Running test_measurement_probability.jl
  0.297015 seconds (231.03 k allocations: 12.680 MiB, 82.70% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_kq6gly/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.115495 seconds (1.67 M allocations: 92.033 MiB, 2.61% gc time, 94.59% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.5259207952029501
expect_batch = 0.42407229984834144 - 9.926628216881855e-18im
expect_dense = 0.4240722998483416 - 1.8152154847661465e-17im
expect_factorized = 0.42407229984834155 - 4.383158634620621e-18im
 18.231328 seconds (14.35 M allocations: 1.104 GiB, 1.56% gc time, 95.26% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:39
Progress: 100%|█████████████████████████████████████████| Time: 0:01:10
Cost function 0.7318486634187009
Cost function -0.6958498038694155

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6958498038694154
Cost function -0.6958498038694155

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.6958498038694155
building shallow map
inversing shallow map
initial loss 0.995025091149544
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 205.04 s: f = 0.025409562815, ‖∇f‖ = 7.4240e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
456.411842 seconds (308.77 M allocations: 17.548 GiB, 1.36% gc time, 99.06% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=21|"Qubit,Site,n=1")
Dim 2: (dim=2|id=267|"Qubit,Site,n=2")
Dim 3: (dim=2|id=237|"Qubit,Site,n=3")
Dim 4: (dim=2|id=141|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 0.03990992773210232 + 0.16007465516732317im  -0.10167954677862216 + 0.19303548757027633im
 0.10083299786823385 - 0.14917085094514476im  -0.09642583236875742 - 0.0769667735682053im

[:, :, 2, 1] =
  -0.1072381958582928 + 0.15014399133406217im  -0.10573363008180078 - 0.3722972533138248im
 0.020082762748332584 + 0.2551096990654801im    0.22947119784833506 - 0.04870963886349241im

[:, :, 1, 2] =
 -0.32556986750735284 + 0.04674961811563855im  -0.12376739466882311 + 0.08252531187131769im
  0.02280202520247608 - 0.03798593697032789im  -0.09335546147913606 - 0.09657812495675501im

[:, :, 2, 2] =
 -0.11413063098973816 + 0.5539906093291391im   -0.07080996310217591 + 0.12809713203606632im
 -0.14413983936437505 - 0.14308825779341303im  -0.15591386296468232 - 0.12636962887895997im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=21|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=21|"Qubit,Site,n=1")
Dim 3: (dim=2|id=267|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=267|"Qubit,Site,n=2")
Dim 5: (dim=2|id=237|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=237|"Qubit,Site,n=3")
Dim 7: (dim=2|id=141|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=141|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.030284549271761198 - 2.0372418800447317e-17im  -0.012009715402325767 + 0.005659137575759161im
 -0.012009715402325772 - 0.005659137575759194im     0.031572675232064834 + 8.72179245553318e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
  0.007158523483525877 + 0.00848135022820321im    -0.036539265268993947 + 0.011765981228999819im
 -0.009881683037849469 - 0.0075711283879684715im  -0.012693460813486868 - 0.01948293493172856im

[:, :, 1, 2, 1, 1, 1, 1] =
 0.007158523483525863 - 0.008481350228203167im  -0.009881683037849486 + 0.00757112838796852im
 -0.03653926526899389 - 0.011765981228999836im  -0.012693460813486865 + 0.019482934931728802im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.051504226348489966 - 2.6658965695599883e-17im  0.006971941537269484 - 0.03637035608867358im
 0.006971941537269496 + 0.03637035608867358im      0.03427659201524932 + 6.96544309551943e-19im

[:, :, 1, 1, 2, 1, 1, 1] =
 0.038363057906993944 + 0.01116013845519593im   -0.023532337471870907 - 0.022869348310374134im
  0.03094406347749055 + 0.013308855132826812im  -0.017557116492220252 + 0.019951713230680398im

[:, :, 2, 1, 2, 1, 1, 1] =
  -0.05837260179629918 + 0.016568785673789218im   0.04231096696094448 - 0.022814091382341455im
 -0.012444866057539708 - 0.030783691904946273im  0.015791779745392785 + 0.03159623211226794im

[:, :, 1, 2, 2, 1, 1, 1] =
 0.006250677149457909 + 0.027173318607828935im   0.00958229331676545 + 0.01888234576352621im
 0.024946916938417905 - 0.02827340360103151im   -0.02705030251467977 - 0.012462810929195116im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.039773651567601216 + 0.014997517213984993im  0.003599421837005688 + 0.0015743305629955279im
 -0.006299269674822563 - 0.03360406047262665im   -0.00921862897221628 - 0.0041760019158914195im

[:, :, 1, 1, 1, 2, 1, 1] =
  0.038363057906994104 - 0.011160138455195753im    0.03094406347749046 - 0.013308855132826895im
 -0.023532337471870887 + 0.022869348310374127im  -0.017557116492220193 - 0.019951713230680554im

[:, :, 2, 1, 1, 2, 1, 1] =
 0.006250677149457673 - 0.027173318607828706im    0.0249469169384181 + 0.028273403601031477im
 0.009582293316765354 - 0.018882345763526254im  -0.02705030251467949 + 0.012462810929195088im

[:, :, 1, 2, 1, 2, 1, 1] =
 -0.05837260179629913 - 0.016568785673789315im  -0.012444866057539705 + 0.030783691904946096im
 0.042310966960944475 + 0.022814091382341507im    0.01579177974539313 - 0.03159623211226821im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.039773651567601244 - 0.014997517213984906im   -0.006299269674822393 + 0.033604060472626804im
  0.003599421837005525 - 0.0015743305629955361im  -0.009218628972216286 + 0.004176001915891475im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.07969097801413841 + 6.36020374942562e-17im   0.025439159177900565 + 0.0020350753363180393im
 0.025439159177900617 - 0.0020350753363178892im   0.05245639981493451 - 7.10555271111888e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 -0.06791912018716631 + 0.06592850082104569im   -0.05881091779958929 + 0.02635322006994049im
 -0.04994004184988843 - 0.03458888993341921im  -0.010401379835037028 - 0.03219948251353285im

[:, :, 1, 2, 2, 2, 1, 1] =
   -0.0679191201871662 - 0.0659285008210461im     -0.04994004184988852 + 0.03458888993341924im
 -0.058810917799589156 - 0.026353220069940463im  -0.010401379835036837 + 0.032199482513533405im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.1419207472117766 - 8.406579643106307e-18im  0.007058000516002859 - 0.08596899876445273im
 0.00705800051600308 + 0.08596899876445281im     0.05572562388357711 - 3.1980956298505804e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.007152719782983951 + 0.06165545397911423im   -0.007576947291077421 - 0.02380653257426027im
  -0.01441812815846597 - 0.011776263126048089im   -0.00336344470067929 + 0.007755903756409531im

[:, :, 2, 1, 1, 1, 2, 1] =
 0.016506928623932045 + 0.01711698735336316im   -0.014728195337833877 - 0.016297160468560855im
 -0.01339813807164761 + 0.023477798836037247im   0.017220764945477123 - 0.013950887559218184im

[:, :, 1, 2, 1, 1, 2, 1] =
 0.015255200022858762 + 0.01351409721727078im   -0.015442507591401084 - 0.02240439361244051im
 0.010458654394455673 + 8.782700819891763e-5im   0.010913525797842698 - 0.01284959122990702im

[:, :, 2, 2, 1, 1, 2, 1] =
  0.008165941112756345 + 0.017797611145425406im    0.003916179555657143 + 0.0033632791216053437im
 -0.018057184679858368 + 0.0032400017858891187im  -0.011191616492513724 + 0.0035446424310247105im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.054401938630574256 + 0.029859755825630233im  -0.06526523941215401 + 0.03136895833095708im
 -0.025134292843934165 + 0.016141696803267633im  0.007396088409368761 - 0.020050333767739563im

[:, :, 2, 1, 2, 1, 2, 1] =
  0.017744678781278313 + 0.022861931423539705im   -0.007563163093429434 - 0.0011323690456523441im
 -0.018505987811001174 + 0.010139782030105144im  -0.0011256444831761712 - 0.025847392386755024im

[:, :, 1, 2, 2, 1, 2, 1] =
   0.08644690321187314 - 0.028975934525964833im  -0.025020228360148063 - 0.04981761764239277im
 -0.006770060776263609 + 0.02178052009084718im    0.011028897464207725 - 0.004927062077435537im

[:, :, 2, 2, 2, 1, 2, 1] =
   0.008398791245583119 - 0.0073305112159147215im  -0.017828508652815156 - 0.0032541479934104153im
 -0.0031787808707424738 + 0.03400451555695271im      0.02282303070455901 - 0.00034229553788164835im

[:, :, 1, 1, 1, 2, 2, 1] =
 0.011422197784083085 + 0.08136056117723986im     0.02116166128703247 + 0.06508966775886978im
 -0.02562174614433985 - 0.022223815442483388im  -0.014316290226467906 + 0.002194682114763844im

[:, :, 2, 1, 1, 2, 2, 1] =
   0.04094950853469026 + 0.013691972143338747im     0.01542004853436759 + 0.015367727445271456im
 -0.010139388495067026 + 0.051401205967669984im  -0.0067569638993300665 + 0.01780423826232501im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.04806581219185823 - 0.11298467666844209im  -0.057843040596311686 - 0.03314836105308905im
 0.01039898241376305 + 0.033245087806337im      0.02053286014644152 + 0.0008416290791670496im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.02415001403203096 - 0.05394124044864917im  -0.03578891539581816 + 0.011451051937097586im
  0.05319609125646411 - 0.03639340600671166im  -0.01693112382692325 - 0.03742968047335769im

[:, :, 1, 1, 2, 2, 2, 1] =
 0.056278089644219355 - 0.0281254816886058im     0.09780452445805371 + 0.03179129647715717im
 -0.01709464823059665 + 0.03231942339736718im  -0.025396827000100985 + 0.028175609130920973im

[:, :, 2, 1, 2, 2, 2, 1] =
    0.02540346566352624 + 0.025028979813134927im   0.031258162785865004 + 0.012231159431002933im
 0.00015251279738923845 + 0.017576465278615554im  -0.027609749591531414 + 0.02545066537140478im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.12830939421699872 - 0.0666524977107953im    -0.03239875769813996 + 0.08171280930492554im
  0.05951638222398106 - 0.02500721160866369im  -0.013539561902131823 - 0.034331357563727974im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.019413692392784898 - 0.049006366773655996im  -0.025894384923160402 + 0.006399343179682682im
   0.03934465989726789 - 0.02665680783615005im    -0.01949205899744599 - 0.021078954587606877im

[:, :, 1, 1, 1, 1, 1, 2] =
  -0.007152719782983867 - 0.06165545397911435im    -0.014418128158465993 + 0.011776263126048042im
 -0.0075769472910773095 + 0.023806532574260304im  -0.0033634447006791416 - 0.007755903756409483im

[:, :, 2, 1, 1, 1, 1, 2] =
  0.015255200022858677 - 0.013514097217270838im  0.010458654394455678 - 8.782700819886906e-5im
 -0.015442507591401164 + 0.022404393612440544im  0.010913525797842674 + 0.012849591229906995im

[:, :, 1, 2, 1, 1, 1, 2] =
 0.016506928623932073 - 0.017116987353363124im  -0.013398138071647504 - 0.023477798836037213im
 -0.01472819533783393 + 0.01629716046856079im     0.01722076494547714 + 0.013950887559218136im

[:, :, 2, 2, 1, 1, 1, 2] =
 0.008165941112756316 - 0.017797611145425364im   -0.018057184679858354 - 0.0032400017858890814im
 0.003916179555657177 - 0.0033632791216054543im  -0.011191616492513828 - 0.003544642431024691im

[:, :, 1, 1, 2, 1, 1, 2] =
 0.011422197784083318 - 0.08136056117723983im   -0.02562174614433983 + 0.0222238154424833im
 0.021161661287032337 - 0.06508966775886975im  -0.014316290226468149 - 0.002194682114763806im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.048065812191858154 + 0.11298467666844193im   0.010398982413763014 - 0.03324508780633696im
 -0.05784304059631157 + 0.033148361053089076im  0.020532860146441585 - 0.0008416290791668415im

[:, :, 1, 2, 2, 1, 1, 2] =
  0.04094950853469031 - 0.013691972143338765im  -0.010139388495066959 - 0.05140120596766997im
 0.015420048534367549 - 0.015367727445271404im  -0.006756963899330224 - 0.01780423826232519im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.024150014032030966 + 0.05394124044864912im    0.05319609125646411 + 0.03639340600671173im
  -0.03578891539581835 - 0.01145105193709754im  -0.016931123826923217 + 0.03742968047335759im

[:, :, 1, 1, 1, 2, 1, 2] =
  0.05440193863057444 - 0.029859755825630243im  -0.02513429284393412 - 0.016141696803267745im
 -0.06526523941215392 - 0.03136895833095701im   0.007396088409368531 + 0.020050333767739938im

[:, :, 2, 1, 1, 2, 1, 2] =
    0.0864469032118732 + 0.028975934525964742im  -0.006770060776263512 - 0.021780520090847154im
 -0.025020228360148226 + 0.04981761764239261im    0.011028897464207661 + 0.0049270620774350855im

[:, :, 1, 2, 1, 2, 1, 2] =
  0.017744678781278313 - 0.022861931423539573im    -0.018505987811001205 - 0.010139782030105082im
 -0.007563163093429285 + 0.0011323690456522886im  -0.0011256444831763586 + 0.02584739238675537im

[:, :, 2, 2, 1, 2, 1, 2] =
  0.008398791245583105 + 0.0073305112159146105im  -0.0031787808707424772 - 0.03400451555695276im
 -0.017828508652815142 + 0.0032541479934104153im      0.0228230307045589 + 0.00034229553788158937im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.05627808964421928 + 0.02812548168860602im   -0.017094648230596712 - 0.032319423397367174im
 0.09780452445805368 - 0.031791296477157074im   -0.02539682700010109 - 0.028175609130921313im

[:, :, 2, 1, 2, 2, 1, 2] =
  -0.1283093942169986 + 0.0666524977107952im     0.05951638222398113 + 0.02500721160866371im
 -0.03239875769813998 - 0.08171280930492558im  -0.013539561902131719 + 0.03433135756372792im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.025403465663526324 - 0.025028979813134775im  0.00015251279738916212 - 0.017576465278615637im
  0.03125816278586494 - 0.01223115943100292im      -0.0276097495915316 - 0.025450665371404856im

[:, :, 2, 2, 2, 2, 1, 2] =
  -0.01941369239278483 + 0.049006366773656114im    0.03934465989726806 + 0.026656807836149966im
 -0.025894384923160582 - 0.006399343179682574im  -0.019492058997445827 + 0.02107895458760679im

[:, :, 1, 1, 1, 1, 2, 2] =
   0.12741188138390624 - 4.2512655217909264e-18im  -0.020610474410002588 - 0.033251003886679585im
 -0.020610474410002484 + 0.03325100388667964im      0.017683195237790283 - 5.3490620172794675e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.02976650684725915 - 0.03780727979878636im   -0.015158207055712618 + 0.004905235474323323im
 0.05149886271766804 + 0.020386868624436446im  -0.010368760045186037 - 0.019108663791828944im

[:, :, 1, 2, 1, 1, 2, 2] =
   0.02976650684725916 + 0.03780727979878644im       0.051498862717668 - 0.020386868624436578im
 -0.015158207055712622 - 0.004905235474323148im  -0.010368760045186306 + 0.019108663791828955im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.025795048438964033 - 9.655296901320511e-18im  0.0038586112233695807 - 0.028751671555729958im
 0.0038586112233695825 + 0.028751671555729944im     0.03461607475002442 - 2.6956352078889977e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.048843296206084644 - 0.11345555590917829im   -0.013398445410465653 + 0.001016529760306245im
  0.03812946631192601 + 0.046938442346929704im  0.0034850439878753416 - 0.013636465601817988im

[:, :, 2, 1, 2, 1, 2, 2] =
  0.04286919730796632 - 0.041614892637139904im  -0.017942467512451134 - 0.006847995591180592im
 0.023319029427992854 + 0.034995983433173346im  0.0036229152592445603 - 0.0025022509689285946im

[:, :, 1, 2, 2, 1, 2, 2] =
     0.03774489359892236 - 0.039505331887506503im  -0.02777616652905236 - 0.03763851077312968im
 -0.00028448943371767654 + 0.024954366287042336im  0.024657773186628755 + 0.00671625010106545im

[:, :, 2, 2, 2, 1, 2, 2] =
  0.019610419954041943 + 0.003369922294807885im  0.011860056776752677 - 0.020637915281148587im
 0.0058981146017473805 + 0.01632830950667456im   0.013415176592204984 - 0.0023068067482908735im

[:, :, 1, 1, 1, 2, 2, 2] =
  0.04884329620608468 + 0.11345555590917829im    0.038129466311925965 - 0.04693844234692984im
 -0.01339844541046547 - 0.0010165297603060668im  0.003485043987875216 + 0.013636465601817862im

[:, :, 2, 1, 1, 2, 2, 2] =
   0.03774489359892229 + 0.03950533188750638im  -0.00028448943371758026 - 0.024954366287042395im
 -0.027776166529052418 + 0.03763851077312954im      0.02465777318662864 - 0.006716250101065504im

[:, :, 1, 2, 1, 2, 2, 2] =
   0.04286919730796641 + 0.04161489263713994im     0.02331902942799278 - 0.03499598343317317im
 -0.017942467512450943 + 0.006847995591180568im  0.0036229152592446696 + 0.002502250968928605im

[:, :, 2, 2, 1, 2, 2, 2] =
  0.01961041995404186 - 0.0033699222948079532im  0.005898114601747383 - 0.01632830950667448im
 0.011860056776752614 + 0.02063791528114847im     0.01341517659220492 + 0.0023068067482908163im

[:, :, 1, 1, 2, 2, 2, 2] =
    0.2259694206924012 + 5.501995476570194e-19im  -0.04138092272854112 - 0.06645574367659265im
 -0.041380922728541006 + 0.06645574367659259im     0.03258327589564771 + 8.755227968598321e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
   0.05479908178713278 + 0.011931846850196576im  -0.004082149504559655 - 0.027049934814501894im
 -0.037092436889569404 + 0.07207438387490918im     0.02703515589495532 - 0.0011529645640690795im

[:, :, 1, 2, 2, 2, 2, 2] =
  0.054799081787132706 - 0.011931846850196675im   -0.0370924368895693 - 0.07207438387490925im
 -0.004082149504559604 + 0.02704993481450196im   0.027035155894954813 + 0.0011529645640690523im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.02902867056954842 - 1.3233611420999544e-18im  -0.0074380471251756525 - 0.01841780492581197im
 -0.007438047125175754 + 0.01841780492581199im        0.02948064123972437 + 8.821661596549929e-18im
get_trace(ρ) = 0.9999999999999988 - 5.710696176321398e-18im
get_trace_moment(ρ, 2) = 0.6244778777120894
get_trace_moment(ρ, 3) = 0.43671681656813466 - 2.614367191700398e-17im
purity_1 = 0.5418983166249415
purity_2 = 0.5418983166249405
trrho3_1 = 0.32670613383795405
trrho3_2 = 0.32670613383795344 - 1.3183898417423734e-16im
purity = 0.6244778777120894
p2 = 0.6244778777120894
trrho3 = 0.43671681656813466 - 2.614367191700398e-17im
p3 = 0.1524443915458915 - 3.0574501264091225e-17im
Cost function 1.1714521744818789
Cost function -0.09187586230429463
Cost function -0.09187586230429462
Cost function -0.09187586230429462
Cost function -0.09187586230429462
Cost function -0.09187586230429463
Cost function -0.09187586230429462
norm(ψ_sum_approx - ψ_sum) = 4.218624940943826e-16
 55.318674 seconds (28.04 M allocations: 1.573 GiB, 0.96% gc time, 99.52% compilation time)
Running test_trace_moments.jl
  7.949202 seconds (6.31 M allocations: 342.696 MiB, 1.10% gc time, 99.92% compilation time)
  0.000392 seconds (820 allocations: 192.258 KiB)
  1.161372 seconds (326.25 k allocations: 18.451 MiB, 99.61% compilation time)
dense_moments_4_batches = 0.9999999999999998
dense_moments_nu_batches = 0.9999999999999998
factorized_moments = 0.9999999999999997
  0.851854 seconds (339.59 k allocations: 19.262 MiB, 99.27% compilation time)
  0.001677 seconds (4.92 k allocations: 1.860 MiB)
  0.703882 seconds (422.49 k allocations: 42.757 MiB, 95.27% compilation time)
dense_moments_4_batches = 2.23688514741855
dense_moments_nu_batches = 3.6533648407514705
factorized_moments = 3.653364840751472
  0.361581 seconds (132.33 k allocations: 10.129 MiB, 97.84% compilation time)
  0.075517 seconds (19.52 k allocations: 8.898 MiB, 89.21% gc time)
  0.943665 seconds (5.56 M allocations: 978.173 MiB, 15.47% gc time, 9.46% compilation time)
dense_moments_4_batches = -10.611791346366829
dense_moments_nu_batches = -2.5685768843132144
factorized_moments = -2.568576884313226
  0.286387 seconds (142.41 k allocations: 11.900 MiB, 97.32% compilation time)
  0.015758 seconds (48.62 k allocations: 24.446 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 14.772875 seconds (93.73 M allocations: 16.660 GiB, 14.72% gc time, 0.59% compilation time)
dense_moments_4_batches = 15.282199549735067
dense_moments_nu_batches = 3.3208491683411108
factorized_moments = 3.3208491683410926
 28.116113 seconds (107.31 M allocations: 18.106 GiB, 8.80% gc time, 43.92% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m09.3s
     Testing RandomMeas tests passed 

Testing completed after 936.54s

PkgEval succeeded after 1189.52s