Package evaluation of RandomMeas on Julia 1.13.0-DEV.955 (13f6b3b5c0*) started at 2025-08-04T06:12:23.474


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.51s


################################################################################
# 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 v4.18.0
  [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
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  [409d34a3] + VectorInterface v0.5.0
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  [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
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  [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 6.36s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 209.92s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_eFg1Sb/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_eFg1Sb/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 v4.18.0
  [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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  [8e850b90] libblastrampoline_jll v5.13.1+0
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  [3f19e933] p7zip_jll v17.5.0+2
        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
114.846996 seconds (98.12 M allocations: 5.205 GiB, 2.15% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9963181818181818
overlap = 0.7099630000000003
fidelity = 0.706525852511454
exact_fidelity = 0.714336935159838
XEB = 2.989561224551229
self_XEB = 2.9791764583396936
 97.821855 seconds (72.27 M allocations: 3.959 GiB, 1.31% gc time, 99.63% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.468694 seconds (5.92 M allocations: 331.142 MiB, 2.32% gc time, 98.92% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=764|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=764|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.1866766613303532 - 0.9421768766186636im   -0.24221031138599416 + 0.13707196043667064im
 -0.06580242323127108 - 0.27041560305674883im    0.8147583487669867 - 0.5086396325836599im, ITensor ord=2
Dim 1: (dim=2|id=787|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=787|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.15756048613803086 + 0.979031200247166im    -0.05829580186492281 + 0.11521372155896567im
 0.12380211758275098 - 0.03668293653141625im   -0.9348872788163507 - 0.3306254281763837im, ITensor ord=2
Dim 1: (dim=2|id=172|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=172|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.019562686692185194 + 0.8318643696724777im  0.15910365623759887 - 0.5313238168298337im
   -0.4817489938043827 + 0.2748397328030636im  -0.8060179722070926 + 0.20667863150401466im, ITensor ord=2
Dim 1: (dim=2|id=872|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=872|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.4788653553432236 - 0.39979430777782393im  0.7740013442650945 + 0.10850991658040288im
 0.44433938375444526 + 0.6429735569719637im    0.572183703577358 + 0.24850216586589124im], Index{Int64}[(dim=2|id=764|"Qubit,Site,n=1"), (dim=2|id=787|"Qubit,Site,n=2"), (dim=2|id=172|"Qubit,Site,n=3"), (dim=2|id=872|"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
123.999995 seconds (72.39 M allocations: 3.936 GiB, 1.55% gc time, 99.83% 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.
 11.792749 seconds (4.85 M allocations: 323.754 MiB, 0.52% gc time, 97.07% compilation time)
Running test_measurement_probability.jl
  0.334306 seconds (231.03 k allocations: 12.680 MiB, 14.48% gc time, 86.71% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_DfYXLf/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.038983 seconds (1.67 M allocations: 91.908 MiB, 94.50% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.7143369351598378
expect_batch = 0.6101746134803826 + 1.305265639706949e-17im
expect_dense = 0.6101746134803825 + 1.1536512623952e-17im
expect_factorized = 0.6101746134803828 + 1.7215505107363292e-18im
 18.501496 seconds (14.35 M allocations: 1.104 GiB, 1.47% gc time, 95.23% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:40
Progress: 100%|█████████████████████████████████████████| Time: 0:01:10
Cost function 0.13265239182845026
Cost function -0.48963649889784866

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.48963649889784855
Cost function -0.4896364988978487

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.48963649889784877
building shallow map
inversing shallow map
initial loss 1.0441778778868829
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 200.40 s: f = 0.000777694227, ‖∇f‖ = 8.3827e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
448.065751 seconds (306.58 M allocations: 17.297 GiB, 1.39% gc time, 99.11% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=597|"Qubit,Site,n=1")
Dim 2: (dim=2|id=293|"Qubit,Site,n=2")
Dim 3: (dim=2|id=309|"Qubit,Site,n=3")
Dim 4: (dim=2|id=776|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.0701094352767738 - 0.25424760964345416im  -0.038124569955299815 + 0.12798817282534714im
 -0.5884891311344118 - 0.13449289673436857im   -0.06743269097119432 + 0.05913459767239819im

[:, :, 2, 1] =
 -0.025807975457951056 + 0.03648346446117927im   0.006542129258045133 - 0.09828173857691137im
  -0.03658949549472964 - 0.032651738251764824im  -0.05783147903170753 - 0.15523433200747247im

[:, :, 1, 2] =
 0.08593941591508879 - 0.08114059603600497im  0.03780460510692374 + 0.2061422972954615im
   -0.26708083408418 + 0.09898766658809716im  0.07095631310588607 + 0.2744059289347042im

[:, :, 2, 2] =
 -0.08134975124354306 + 0.33101243144458936im  -0.09498717874561521 + 0.09455392154725874im
   0.3247330363008756 - 0.16298135061826244im  -0.04766578743053592 + 0.10400159031298498im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=597|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=597|"Qubit,Site,n=1")
Dim 3: (dim=2|id=293|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=293|"Qubit,Site,n=2")
Dim 5: (dim=2|id=309|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=309|"Qubit,Site,n=3")
Dim 7: (dim=2|id=776|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=776|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.07104880786940077 + 5.591449996656424e-17im  0.04782172292595454 + 0.10525804527726794im
 0.047821722925954525 - 0.10525804527726806im    0.25847087298953814 + 5.905269367857099e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.01350192778148702 - 0.030839565106545574im   0.007663345626749049 - 0.0499827718626543im
 0.008732946471740157 - 0.0005641009735183205im  0.014079767148900095 - 0.02883147049634487im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.013501927781486938 + 0.030839565106545567im   0.00873294647174024 + 0.000564100973518543im
  0.007663345626749172 + 0.04998277186265435im   0.014079767148900127 + 0.02883147049634489im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.029064982108393533 - 3.7178630754956534e-17im  0.0009813523914817613 - 0.021889791760107143im
 0.000981352391481753 + 0.02188979176010719im      0.026202244319557515 + 3.924759905163756e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.025209323413260386 - 0.011032366746868964im  0.013142301844619548 - 0.02278632488360062im
  0.005869346873570065 + 0.019735720912071434im  0.010683398414813387 + 0.00394606266049637im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.01029958198218751 - 0.005647161241798678im   0.011799529460221291 + 0.04151286684418686im
  0.0525543370355261 - 0.0056207223100266735im   0.03444141929281938 + 0.06619845720683845im

[:, :, 1, 2, 2, 1, 1, 1] =
 0.0010341160056788023 - 0.016085690955352422im  -0.014506181607254651 + 0.008845811538901325im
  -0.02211503820969547 + 0.010931195850418485im   0.014941842030003543 + 0.021748971388782876im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.0020069330522382925 - 0.007278585416099049im  -0.016739630544755264 + 0.00047601621975622304im
 -0.0027060066478131503 + 0.025906434870719752im   0.010169499527502924 - 0.006546330787756078im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.02520932341326049 + 0.011032366746869023im  0.005869346873570118 - 0.019735720912071486im
  0.01314230184461965 + 0.022786324883600793im  0.010683398414813193 - 0.003946062660496344im

[:, :, 2, 1, 1, 2, 1, 1] =
 0.0010341160056789472 + 0.016085690955352377im  -0.022115038209695483 - 0.010931195850418502im
 -0.014506181607254667 - 0.008845811538901268im   0.014941842030003557 - 0.02174897138878288im

[:, :, 1, 2, 1, 2, 1, 1] =
 0.010299581982187531 + 0.005647161241798565im  0.05255433703552615 + 0.005620722310026881im
 0.011799529460221293 - 0.041512866844186806im  0.03444141929281951 - 0.06619845720683849im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.0020069330522382947 + 0.007278585416099053im   -0.0027060066478130957 - 0.0259064348707197im
  -0.016739630544755198 - 0.0004760162197562243im      0.0101694995275029 + 0.00654633078775612im

[:, :, 1, 1, 2, 2, 1, 1] =
   0.020223834833838595 - 9.120793133289696e-17im  -0.0037441604411055074 + 0.02086323152808879im
 -0.0037441604411055044 - 0.020863231528088777im      0.02898398037480712 - 2.079742208139121e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
  0.00593165902208436 + 0.010578310618284658im  -0.01021190418813739 + 0.011144426045433987im
 -0.02204835941044409 + 0.011507406979973144im  6.483824978881868e-5 - 0.021464287113598705im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.005931659022084339 - 0.010578310618284622im  -0.022048359410444144 - 0.011507406979973064im
 -0.01021190418813739 - 0.011144426045434058im   6.483824978881834e-5 + 0.021464287113598646im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.014957300521446337 - 4.435290474275671e-17im  0.005160338078057821 - 0.007710187959363im
 0.005160338078057777 + 0.007710187959363098im   0.041419528723395604 + 3.728927221979633e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.0012464412258103013 + 0.013074609417757637im  -0.02322452239908427 + 0.03924773550890236im
 -0.0005206052847265934 - 0.027401947287273472im    0.0918502852774524 - 0.07023386826697298im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.028436654034813914 - 0.010287900194030385im    -0.03504060333189569 - 0.07659839995519849im
  -0.03636477506430982 + 0.0010098259524435006im  -0.059217336071530416 - 0.10168940659340323im

[:, :, 1, 2, 1, 1, 2, 1] =
  -0.008431567439396924 - 0.016705721045572657im  -0.019574147870637996 + 0.0032044418349378946im
 -0.0025468302293463058 + 0.03273431793525049im     0.03557611423922177 + 0.021649004829270027im

[:, :, 2, 2, 1, 1, 2, 1] =
 0.026291501258892257 - 0.003139756412942883im    0.009532601557050024 - 0.022698084337560147im
  0.02650589053215742 - 0.00038567585140558865im  0.020574819769418703 - 0.024803500980569642im

[:, :, 1, 1, 2, 1, 2, 1] =
   -0.076543060230729 - 0.049943634443784524im  0.013302907254652056 - 0.14661145770660594im
 0.015185812875825318 + 0.0641099421262645im    -0.11836424542971667 + 0.09876103569600485im

[:, :, 2, 1, 2, 1, 2, 1] =
  0.01388700113605566 - 0.015963370688394173im  0.022628125254828105 - 0.04084034880015495im
 -0.04305447628277677 - 0.003804637101700445im  0.012734306596314339 - 0.05808069941680338im

[:, :, 1, 2, 2, 1, 2, 1] =
  0.039943398440357714 - 0.02510078124734677im  -0.010208586649964243 - 0.01209885237833261im
 -0.021229664277408362 - 0.02361888076790366im  -0.021644331487539106 - 0.008306148216105593im

[:, :, 2, 2, 2, 1, 2, 1] =
  0.015198098794674528 + 0.02854567422236273im     0.030560917187033184 - 0.013258368743889097im
 -0.006090982034855858 - 0.016635417403297048im  -0.0063469752555846875 + 0.021283165495729436im

[:, :, 1, 1, 1, 2, 2, 1] =
   0.007915686701720145 + 0.0024296759913677336im  -0.00629196214611586 + 0.017167062599941905im
 -0.0014079465774810588 - 0.01647182773985019im     0.03181292592701172 - 0.01497876450458168im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.003016449895830154 + 0.003577935622445745im  -0.014070164948516546 - 0.01501964796590722im
 -0.008917327911810822 - 0.005104210896357627im  -0.007291637962674811 - 0.02313609981435384im

[:, :, 1, 2, 1, 2, 2, 1] =
  0.012728002395959087 + 0.0014783492839748344im  -0.005175615408964138 + 0.004984216255194211im
 -0.022262695182985716 - 0.02352452108151852im    0.0007032020867495476 - 0.007816258938011286im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.013524422086844278 + 0.010924165620271212im  -0.013037035262034442 - 0.009721110745310464im
 -0.024418097410503454 + 0.013872425045390017im  -0.017172450768314054 + 0.0005305757746070054im

[:, :, 1, 1, 2, 2, 2, 1] =
   0.03324558479829614 + 0.008779715936142919im    -0.02498784536900304 + 0.014991528558626127im
 -0.011570357461594311 - 0.0034051484147128693im  -0.006611087882013838 + 0.009394604573015372im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.020314712059487802 + 0.0011455767994766651im  0.004400187321946382 - 0.03374431930538885im
  0.025510543532785777 - 0.014994292897933092im   0.011715954069657555 + 0.025120066491915248im

[:, :, 1, 2, 2, 2, 2, 1] =
   -0.006498381548025 - 0.009426746201865748im  -0.051505622751725474 - 0.04407797155619052im
 0.012924935459845237 + 0.02321261984259166im     0.00687678527953935 + 0.040501402188279106im

[:, :, 2, 2, 2, 2, 2, 1] =
  -0.01785109346180978 + 0.005740138796718526im  0.018573587020522274 - 0.0052011341482310226im
 -0.004202332351642602 - 0.019798947885465726im  -0.03722023437690971 - 0.003268361824887516im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.001246441225810383 - 0.013074609417757578im  -0.0005206052847264962 + 0.02740194728727327im
   -0.0232245223990842 - 0.039247735508902336im     0.09185028527745237 + 0.07023386826697293im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.008431567439396943 + 0.01670572104557265im    -0.002546830229346427 - 0.03273431793525053im
 -0.019574147870638024 - 0.0032044418349378642im    0.03557611423922185 - 0.021649004829270083im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.028436654034813796 + 0.010287900194030478im  -0.036364775064309796 - 0.0010098259524435266im
  -0.03504060333189567 + 0.0765983999551984im     -0.05921733607153041 + 0.10168940659340331im

[:, :, 2, 2, 1, 1, 1, 2] =
 0.026291501258892326 + 0.0031397564129428124im  0.026505890532157496 + 0.00038567585140557303im
 0.009532601557049967 + 0.022698084337560175im    0.02057481976941873 + 0.024803500980569673im

[:, :, 1, 1, 2, 1, 1, 2] =
 0.007915686701720166 - 0.002429675991367841im  -0.0014079465774809044 + 0.016471827739850314im
 -0.00629196214611596 - 0.017167062599941857im      0.0318129259270118 + 0.014978764504581417im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.012728002395959087 - 0.0014783492839748596im  -0.022262695182985712 + 0.02352452108151834im
 -0.00517561540896409 - 0.004984216255194309im   0.0007032020867495997 + 0.007816258938011265im

[:, :, 1, 2, 2, 1, 1, 2] =
 -0.003016449895830081 - 0.003577935622445714im  -0.008917327911810834 + 0.005104210896357659im
 -0.014070164948516501 + 0.015019647965907282im    -0.0072916379626748 + 0.023136099814354077im

[:, :, 2, 2, 2, 1, 1, 2] =
  -0.01352442208684431 - 0.01092416562027112im   -0.02441809741050336 - 0.013872425045389986im
 -0.013037035262034409 + 0.00972111074531054im  -0.017172450768314102 - 0.0005305757746070731im

[:, :, 1, 1, 1, 2, 1, 2] =
 -0.07654306023072877 + 0.04994363444378443im  0.015185812875825138 - 0.06410994212626442im
 0.013302907254651964 + 0.14661145770660594im  -0.11836424542971678 - 0.09876103569600486im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.039943398440357686 + 0.025100781247346757im  -0.021229664277408418 + 0.02361888076790368im
 -0.010208586649964243 + 0.012098852378332602im   -0.02164433148753912 + 0.00830614821610569im

[:, :, 1, 2, 1, 2, 1, 2] =
  0.01388700113605568 + 0.01596337068839418im   -0.043054476282776824 + 0.003804637101700419im
 0.022628125254828123 + 0.040840348800155024im   0.012734306596314224 + 0.058080699416803466im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.015198098794674531 - 0.028545674222362764im  -0.006090982034855894 + 0.016635417403296982im
 0.030560917187033236 + 0.013258368743889144im  -0.006346975255584648 - 0.021283165495729502im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.033245584798296014 - 0.008779715936143068im  -0.011570357461594134 + 0.003405148414712781im
 -0.02498784536900304 - 0.014991528558625927im  -0.006611087882014011 - 0.009394604573015485im

[:, :, 2, 1, 2, 2, 1, 2] =
 -0.0064983815480249806 + 0.00942674620186576im  0.012924935459845126 - 0.023212619842591656im
  -0.051505622751725565 + 0.04407797155619041im   0.00687678527953936 - 0.040501402188279044im

[:, :, 1, 2, 2, 2, 1, 2] =
  -0.02031471205948778 - 0.0011455767994766625im  0.025510543532785698 + 0.01499429289793314im
 0.0044001873219463965 + 0.033744319305388855im    0.01171595406965745 - 0.02512006649191522im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.01785109346180977 - 0.005740138796718478im   -0.00420233235164264 + 0.01979894788546566im
 0.018573587020522295 + 0.0052011341482309835im  -0.03722023437690967 + 0.003268361824887509im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.017382904549051077 + 9.065270580247036e-18im  -0.03066777983677441 + 0.02092740420004109im
 -0.03066777983677448 - 0.020927404200041057im    0.08543252268674645 + 9.50867379387251e-18im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.012704882174054348 + 0.02089110252365938im  0.0013081541920976951 - 0.053685667449613214im
 -0.020014391265766197 + 0.02401543648782415im   0.010660595048490807 - 0.07372037184089747im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.012704882174054372 - 0.020891102523659347im  -0.020014391265766138 - 0.024015436487824112im
  0.001308154192097875 + 0.05368566744961316im    0.010660595048490885 + 0.07372037184089744im

[:, :, 2, 2, 1, 1, 2, 2] =
 0.037443932045776944 - 5.44520018774659e-17im   0.048115678556979104 - 0.0027813405286790955im
  0.04811567855697906 + 0.0027813405286790894im   0.06777074642838231 + 2.6412270693182014e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.007270136697754146 + 0.019153616260839005im  0.012805237929991877 - 0.03550923675300994im
   0.02817334392852846 + 0.010089888615424127im  -0.07350699307261381 + 0.005303812418255658im

[:, :, 2, 1, 2, 1, 2, 2] =
  -0.02599821977122425 + 0.004656768025889334im   0.03519751272742955 - 0.03921835816340542im
 0.0023028436016117406 - 0.008926994186831053im  0.022254873668389165 + 0.015651592116745584im

[:, :, 1, 2, 2, 1, 2, 2] =
  0.041768780243346286 + 0.005137780614527166im   0.042522502488510985 + 0.020139713527728947im
 -0.013448914518952344 - 0.05127932487490606im   -0.013805820775495576 - 0.0718467481752388im

[:, :, 2, 2, 2, 1, 2, 2] =
   0.021184436034363572 + 0.02677147113382988im      0.03249666208641246 + 0.024771391031887056im
 -0.0014247485259550733 + 0.005756483164815749im  -0.0007654094084823782 + 0.02352462729955698im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.0072701366977543065 - 0.01915361626083934im  0.028173343928528542 - 0.01008988861542412im
   0.012805237929991924 + 0.03550923675301016im  -0.07350699307261388 - 0.005303812418255639im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.04176878024334635 - 0.005137780614527236im  -0.013448914518952262 + 0.051279324874906086im
 0.04252250248851087 - 0.020139713527729124im  -0.013805820775495537 + 0.07184674817523881im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.025998219771224226 - 0.004656768025889224im  0.0023028436016115294 + 0.008926994186831187im
  0.035197512727429575 + 0.03921835816340555im    0.022254873668389255 - 0.015651592116745477im

[:, :, 2, 2, 1, 2, 2, 2] =
 0.021184436034363492 - 0.02677147113382993im  -0.0014247485259550668 - 0.005756483164815776im
 0.032496662086412484 - 0.02477139103188706im  -0.0007654094084823596 - 0.023524627299557073im

[:, :, 1, 1, 2, 2, 2, 2] =
   0.11876721235329725 + 5.753751567894302e-17im  -0.05685648919616318 + 0.06251612320597981im
 -0.056856489196163255 - 0.06251612320597989im     0.09273703316693166 + 7.5535849439373e-18im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.002677989187646511 + 0.03362289966031087im    -0.03033327294016277 + 0.01314537126315175im
  0.044403599185774294 - 0.027449817173444996im  -0.025981017583996274 + 0.017105838225684337im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.002677989187646603 - 0.033622899660310825im   0.04440359918577432 + 0.027449817173444996im
  -0.03033327294016282 - 0.013145371263151854im  -0.02598101758399627 - 0.017105838225684407im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.04432637670212484 - 4.1074733956790407e-17im  -0.018831333372040956 - 0.014350932275488847im
 -0.018831333372040997 + 0.014350932275488913im      0.04576772032731077 + 4.154571827518558e-17im
get_trace(ρ) = 0.9999999999999989 + 5.406347413574257e-17im
get_trace_moment(ρ, 2) = 0.5807314154486297
get_trace_moment(ρ, 3) = 0.3710971231729445 - 9.71445146547012e-17im
purity_1 = 0.5958211289670684
purity_2 = 0.5958211289670663
trrho3_1 = 0.41681083766724975
trrho3_2 = 0.4168108376672474 + 5.898059818321144e-17im
purity = 0.5807314154486297
p2 = 0.5807314154486297
trrho3 = 0.3710971231729445 - 9.71445146547012e-17im
p3 = 0.18028407506799388 + 5.0306980803327406e-17im
Cost function 0.9851511437089058
Cost function -0.09266745068119953
Cost function -0.09266745068119947
Cost function -0.09266745068119947
Cost function -0.09266745068119946
Cost function -0.09266745068119948
Cost function -0.09266745068119943
norm(ψ_sum_approx - ψ_sum) = 1.3096875034602268e-16
 54.685434 seconds (28.04 M allocations: 1.573 GiB, 0.94% gc time, 99.19% compilation time)
Running test_trace_moments.jl
  8.478162 seconds (6.31 M allocations: 342.319 MiB, 1.08% gc time, 99.92% compilation time)
  0.000401 seconds (820 allocations: 192.258 KiB)
  1.226226 seconds (326.23 k allocations: 18.447 MiB, 99.64% compilation time)
dense_moments_4_batches = 0.9999999999999998
dense_moments_nu_batches = 0.9999999999999998
factorized_moments = 1.0
  0.847828 seconds (339.59 k allocations: 19.274 MiB, 99.26% compilation time)
  0.001712 seconds (4.92 k allocations: 1.860 MiB)
  0.772146 seconds (422.49 k allocations: 42.738 MiB, 8.94% gc time, 87.16% compilation time)
dense_moments_4_batches = 2.362922614689086
dense_moments_nu_batches = 1.700417722259298
factorized_moments = 1.7004177222592998
  0.355751 seconds (132.33 k allocations: 10.130 MiB, 97.49% compilation time)
  0.007906 seconds (19.52 k allocations: 8.898 MiB)
  1.062923 seconds (5.56 M allocations: 978.173 MiB, 15.96% gc time, 8.42% compilation time)
dense_moments_4_batches = -6.805201300469483
dense_moments_nu_batches = 0.5509188372157655
factorized_moments = 0.5509188372157615
  0.364325 seconds (142.41 k allocations: 11.901 MiB, 97.65% compilation time)
  0.044883 seconds (48.62 k allocations: 24.446 MiB, 58.43% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.612838 seconds (93.73 M allocations: 16.660 GiB, 15.16% gc time, 0.60% compilation time)
dense_moments_4_batches = -16.09854999434802
dense_moments_nu_batches = -5.73530773013007
factorized_moments = -5.735307730130064
 29.876881 seconds (107.31 M allocations: 18.105 GiB, 9.12% gc time, 43.93% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m09.7s
     Testing RandomMeas tests passed 

Testing completed after 937.33s

PkgEval succeeded after 1192.42s