Package evaluation of RandomMeas on Julia 1.13.0-DEV.1114 (7de5585024*) started at 2025-09-14T14:46:51.478


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.54s


################################################################################
# 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 v7.20.0
  [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 v1.7.2
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.26.0
  [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 v0.19.1
  [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 v1.14.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.2.1
  [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 v0.3.20
  [9136182c] + ITensors v0.9.10
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.5
  [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 v0.10.5
  [0b1a1467] + KrylovKit v0.10.1
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.10
  [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 v0.4.10
  [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 v1.40.19
  [aea7be01] + PrecompileTools v1.3.3
  [21216c6a] + Preferences v1.5.0
  [92933f4c] + ProgressMeter v1.11.0
  [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 v3.9.0
  [7e506255] + ScopedValues v1.5.0
  [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 v0.9.5
  [a2af1166] + SortingAlgorithms v1.2.2
  [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 v1.9.15
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.6
  [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 v0.4.85
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
  [5c2747f8] + URIs v1.6.1
  [1cfade01] + UnicodeFun v0.4.1
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  [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 v2.7.1+0
  [b22a6f82] + FFMPEG_jll v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.17.1+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
  [61579ee1] + Ghostscript_jll v9.55.1+0
  [7746bdde] + Glib_jll v2.86.0+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.3+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 v2.41.1+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.1+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
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  [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 v8.16.0+0
  [e37daf67] + LibGit2_jll v1.9.1+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.9.9
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.7+0
  [458c3c95] + OpenSSL_jll v3.5.2+0
  [efcefdf7] + PCRE2_jll v10.46.0+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 v1.67.0+0
  [3f19e933] + p7zip_jll v17.6.0+0
        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 6.96s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 202.36s


################################################################################
# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_xPh43d/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.20
  [9136182c] ITensors v0.9.10
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.19
  [92933f4c] ProgressMeter v1.11.0
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.9.0
  [2913bbd2] StatsBase v0.34.6
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_xPh43d/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 v7.20.0
  [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 v1.7.2
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.26.0
  [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 v0.19.1
  [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 v1.14.0
  [53c48c17] FixedPointNumbers v0.8.5
  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.2.1
  [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 v0.3.20
  [9136182c] ITensors v0.9.10
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.5
  [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 v0.10.5
  [0b1a1467] KrylovKit v0.10.1
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.10
  [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
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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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  [4607b0f0] SuiteSparse
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  [458c3c95] OpenSSL_jll v3.5.2+0
  [efcefdf7] PCRE2_jll v10.46.0+0
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  [8e850b90] libblastrampoline_jll v5.13.1+0
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  [3f19e933] p7zip_jll v17.6.0+0
        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
110.837262 seconds (97.87 M allocations: 5.180 GiB, 2.26% gc time, 99.88% compilation time: 2% of which was recompilation)
Running test_estimators.jl
purity1 = 1.0032696969696966
overlap = 0.13443700000000006
fidelity = 0.13295385020612388
exact_fidelity = 0.1713182157166894
XEB = 2.6091556936154636
self_XEB = 2.6755654580008463
100.913864 seconds (72.60 M allocations: 3.964 GiB, 1.52% gc time, 99.64% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.428349 seconds (5.91 M allocations: 330.211 MiB, 1.66% gc time, 98.62% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=990|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=990|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.08901409863440879 + 0.7415959149621704im   -0.5983886244841327 - 0.289901782063707im
  0.6280393418406542 - 0.21835424029792316im  0.17464345353461397 - 0.7262146204682043im, ITensor ord=2
Dim 1: (dim=2|id=92|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=92|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.054063102540740315 - 0.5812307047673319im  -0.7680507392628604 - 0.263336497085219im
 -0.15006525571906848 + 0.7979526726600461im   -0.532182656567602 - 0.23986156688663032im, ITensor ord=2
Dim 1: (dim=2|id=346|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=346|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.04730833910194421 + 0.7339121878405203im     0.4725616945408174 + 0.4856132889895698im
   0.5039907595288772 - 0.452910737232031im   -0.001896733560191266 + 0.7354329206741056im, ITensor ord=2
Dim 1: (dim=2|id=35|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=35|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.33460288912220015 + 0.07676669085125201im  -0.8022721660858387 - 0.4883719415473837im
  -0.8470173287091305 - 0.4058440915342659im    0.1182409161825444 + 0.3222907134459314im], Index{Int64}[(dim=2|id=990|"Qubit,Site,n=1"), (dim=2|id=92|"Qubit,Site,n=2"), (dim=2|id=346|"Qubit,Site,n=3"), (dim=2|id=35|"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
115.245782 seconds (72.40 M allocations: 3.926 GiB, 1.74% gc time, 99.60% 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.
 11.194597 seconds (4.55 M allocations: 308.444 MiB, 1.03% gc time, 96.46% compilation time)
Running test_measurement_probability.jl
  0.288919 seconds (234.87 k allocations: 12.797 MiB, 80.03% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_BlgYGn/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.021842 seconds (1.63 M allocations: 88.866 MiB, 93.21% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.17131821571668923
expect_batch = 0.16519931548700692 + 2.047116161900006e-18im
expect_dense = 0.1651993154870071 + 2.571746686223435e-18im
expect_factorized = 0.1651993154870072 + 6.131365941853549e-18im
 19.059669 seconds (14.35 M allocations: 1.103 GiB, 1.68% gc time, 95.05% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:36
Progress: 100%|█████████████████████████████████████████| Time: 0:01:09
Cost function 1.4542733165753354
Cost function -0.6912292190715249

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6912292190715247
Cost function -0.6912292190715247

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.6912292190715249
building shallow map
inversing shallow map
initial loss 1.0188918413134538
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 204.55 s: f = 0.000272541683, ‖∇f‖ = 2.0813e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
458.280049 seconds (308.74 M allocations: 17.511 GiB, 1.46% gc time, 99.07% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=911|"Qubit,Site,n=1")
Dim 2: (dim=2|id=922|"Qubit,Site,n=2")
Dim 3: (dim=2|id=747|"Qubit,Site,n=3")
Dim 4: (dim=2|id=546|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 0.09564777455426132 - 0.14332906034965986im   0.10704046866744298 + 0.4192217197605969im
 0.02260061041359137 + 0.19167901470010212im  -0.36478501491724785 + 0.25600961609943484im

[:, :, 2, 1] =
  0.21482193328066201 - 0.3551820279337442im    -0.18991134176461585 + 0.08430085816646463im
 0.018745490344041386 - 0.03660957828143794im  -0.004916395128519166 + 0.06018481519487395im

[:, :, 1, 2] =
  0.06459060070554679 - 0.25068162210723066im  -0.20608127625426192 - 0.06208256878235257im
 -0.10017301415772657 - 0.17456379560746776im   0.24948127955742938 - 0.006572346299132836im

[:, :, 2, 2] =
 -0.08721548382724043 - 0.06134962518578563im  -0.022183449396614974 + 0.0659065766212722im
   0.1543318098457197 - 0.08539702106130645im   -0.23992350138515972 + 0.07362623644688417im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=911|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=911|"Qubit,Site,n=1")
Dim 3: (dim=2|id=922|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=922|"Qubit,Site,n=2")
Dim 5: (dim=2|id=747|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=747|"Qubit,Site,n=3")
Dim 7: (dim=2|id=546|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=546|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.05421356831661687 + 3.9288030245781895e-17im  -0.011476760986795979 + 0.03375750951066765im
 -0.011476760986795722 - 0.03375750951066754im       0.09865056162706876 - 1.0601865815807386e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.02906672389494684 + 0.05275218048424812im     0.038650115629671015 + 0.0033902479950051094im
 -0.05556990248808046 + 0.0020773767775409914im  -0.003915795026214047 + 0.04903488034989039im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.02906672389494725 - 0.052752180484248345im   -0.055569902488080254 - 0.0020773767775408964im
 0.038650115629671175 - 0.0033902479950052083im  -0.003915795026214208 - 0.04903488034989007im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.13787558375620726 + 1.7677018271158766e-16im  0.05582593367044672 - 0.13226225324264648im
 0.05582593367044677 + 0.1322622532426462im      0.15379191376343132 + 4.303344397956013e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
    0.04327712904679158 - 0.0068181041526520604im    -0.0388073348783436 - 0.045152980889047796im
 -0.0016281376938929116 + 0.0028396665180640793im  -0.010823564067070593 - 0.012039993096137933im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.004752833772794701 - 0.01643055722077832im  0.017562221383765383 + 0.06414314094579937im
 0.007613936510664855 - 0.02978167914476459im   0.05930371331049608 + 0.015825910603680906im

[:, :, 1, 2, 2, 1, 1, 1] =
  -0.0912237836336716 - 0.08764193636617525im    -0.12036178122822098 + 0.05729085479361145im
 -0.00905910785331521 - 0.0049148112624079225im   -0.0080795460382992 + 0.009655514446622826im

[:, :, 2, 2, 2, 1, 1, 1] =
 0.013767928293008842 + 0.05070586414375472im     0.05741986675389397 - 0.0037011944167781733im
 0.005832355666335524 - 0.005687613004436276im  -0.011706889960779917 - 0.018051601393583618im

[:, :, 1, 1, 1, 2, 1, 1] =
  0.04327712904679202 + 0.006818104152651962im  -0.0016281376938936628 - 0.0028396665180640975im
 -0.03880733487834388 + 0.045152980889048504im   -0.010823564067070402 + 0.01203999309613773im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.09122378363367153 + 0.08764193636617547im  -0.009059107853315039 + 0.0049148112624077854im
 -0.12036178122822093 - 0.05729085479361143im   -0.00807954603829898 - 0.00965551444662262im

[:, :, 1, 2, 1, 2, 1, 1] =
 0.004752833772794447 + 0.01643055722077802im   0.00761393651066516 + 0.029781679144764404im
 0.017562221383765658 - 0.06414314094579984im  0.059303713310496164 - 0.015825910603681048im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.013767928293008795 - 0.05070586414375458im    0.005832355666335404 + 0.005687613004436366im
   0.0574198667538936 + 0.003701194416778315im  -0.011706889960780145 + 0.01805160139358382im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.12260181516865996 + 8.047548537191296e-17im    0.0127748838404601 + 0.00243254181405215im
 0.012774883840459952 - 0.0024325418140524846im  0.002817845385626883 + 2.0762252135743938e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 -0.054330967169982834 - 0.030370967001208577im  -0.010045177480961006 - 0.005812805227380023im
 -0.013947138686138635 + 0.01646694581583364im   -0.007747638543644027 + 0.005771945161524687im

[:, :, 1, 2, 2, 2, 1, 1] =
 -0.054330967169982765 + 0.030370967001208532im  -0.013947138686138621 - 0.016466945815833536im
  -0.01004517748096089 + 0.005812805227380191im  -0.007747638543643974 - 0.005771945161524608im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.05060083330252049 - 4.2688132660856504e-17im  0.018059234829351928 + 0.03228687162616249im
 0.018059234829351956 - 0.032286871626162714im     0.04160706180937158 - 4.634415778739356e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
  0.008312972103702946 - 0.042651694536188854im   0.010713785124254787 - 0.04960184337880584im
 -0.012150892542592025 - 0.01292750238208664im   -0.042170216311748485 - 0.021230219873527363im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.0036826436021118805 - 0.03625276292540796im   0.005826107557134891 + 0.030216964287710205im
    0.03427484599924928 + 0.009785366114711903im  0.027860900370743423 - 0.01162491524349002im

[:, :, 1, 2, 1, 1, 2, 1] =
   -0.0859064957957843 - 0.03454876008877344im   -0.07879914922391167 + 0.0713537027650789im
 -0.059059202134210106 + 0.027428824300219118im  0.003722231466124805 + 0.0758771034043996im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.03774592202428166 + 0.05221207180959839im   0.03350541344442499 + 0.05214567368408613im
 0.013536805608484446 - 0.08333922285406549im  -0.07718298228323107 - 0.05150684925457919im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.02329831766752692 - 0.01526773433904885im  -0.010498116396085742 - 0.024231553947606618im
 0.021385303020619122 + 0.01644083075931893im   -0.01830754329531021 - 0.017181456007887532im

[:, :, 2, 1, 2, 1, 2, 1] =
 -0.024694192450971708 + 0.005660301447366773im  0.0003171157305509641 - 0.01958897154534123im
  -0.02267163045981949 - 0.01734291638573094im    0.003599015233551689 + 0.03483108623735892im

[:, :, 1, 2, 2, 1, 2, 1] =
 -0.02965976345909365 + 0.03042715986995687im  0.013581159415773253 + 0.0469014178433512im
 -0.01027926333057273 - 0.0515610041970616im   -0.05081842553202534 - 0.008541920346775691im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.016234279101661052 + 0.01897648570361071im  0.02242405827370237 - 0.002729463654109438im
 0.004515215666997625 + 0.07591215633562537im  0.07549045533706329 + 0.02339973137071277im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.08074898952239709 - 0.018020018089473722im  0.008122391142776972 + 0.006868791762592957im
 0.031757694823681105 - 0.05608526202628403im   0.008560376846534355 - 0.004243750848266748im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.014769657181712218 - 0.05773647148266479im  -0.0030403374170891065 - 0.004252562790741689im
   0.03777248880944115 + 0.06634759011861296im  -0.0013849532978720824 + 0.00748562812343849im

[:, :, 1, 2, 1, 2, 2, 1] =
  -0.03686873147440009 + 0.002513755577463036im   0.012605967360748373 - 0.036479745287460036im
 -0.015585479200230014 + 0.03387573898571951im   -0.025392642584358346 - 0.014375629853602774im

[:, :, 2, 2, 1, 2, 2, 1] =
  0.027778588324541317 + 0.011908654227315345im  0.011101056895159351 + 0.00799296843343996im
 -0.019099592673437818 - 0.02380210384776072im   0.020693518906595834 + 0.00017551030753335146im

[:, :, 1, 1, 2, 2, 2, 1] =
 0.007231169493466179 - 0.03366641881891784im   0.004813220730062177 - 0.00015861354778003156im
 0.043022210301607924 + 0.024524709647104084im  0.004407156242255538 + 0.0012720449221370028im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.016852084195907058 + 0.0014158008339259206im   0.001629203056109814 + 0.0013081089356732738im
 -0.054788247162471444 - 0.0488358373771894im     -0.005004291176322315 - 0.00561465960340206im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.010122120452619964 + 0.009299469421389085im  -0.009759062670243873 - 0.020657907066951132im
  -0.02423229796921473 + 0.007646009838671437im  -0.009741858272479123 - 0.0009404920252398248im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.006347004025816022 - 0.00625850324868363im   -0.007550092185231847 - 0.014380783315454537im
   0.03668124380149982 + 0.005836038078852068im  0.0024601677725210346 + 0.011383346522582162im

[:, :, 1, 1, 1, 1, 1, 2] =
 0.008312972103702645 + 0.04265169453618873im  -0.012150892542592924 + 0.01292750238208603im
 0.010713785124253881 + 0.04960184337880659im   -0.04217021631174843 + 0.02123021987352737im

[:, :, 2, 1, 1, 1, 1, 2] =
  -0.0859064957957844 + 0.03454876008877434im    -0.0590592021342098 - 0.027428824300218767im
 -0.07879914922391168 - 0.07135370276507907im  0.0037222314661254034 - 0.07587710340439963im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.0036826436021114434 + 0.036252762925406995im  0.03427484599924947 - 0.009785366114711574im
   0.005826107557135175 - 0.030216964287710455im  0.02786090037074348 + 0.011624915243489936im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.03774592202428217 - 0.052212071809598505im  0.013536805608484657 + 0.08333922285406561im
 0.033505413444425036 - 0.05214567368408579im   -0.07718298228323155 + 0.05150684925457928im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.08074898952239692 + 0.018020018089474135im  0.031757694823680946 + 0.056085262026283375im
 0.008122391142776205 - 0.00686879176259341im   0.008560376846534427 + 0.004243750848266738im

[:, :, 2, 1, 2, 1, 1, 2] =
     -0.0368687314744 - 0.002513755577462741im  -0.015585479200229891 - 0.0338757389857191im
 0.012605967360748862 + 0.03647974528746065im   -0.025392642584358464 + 0.01437562985360323im

[:, :, 1, 2, 2, 1, 1, 2] =
  -0.014769657181712017 + 0.05773647148266441im     0.03777248880944123 - 0.06634759011861262im
 -0.0030403374170885765 + 0.004252562790742008im  -0.001384953297872013 - 0.007485628123438463im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.027778588324541144 - 0.011908654227315366im  -0.01909959267343807 + 0.02380210384776043im
 0.011101056895158737 - 0.00799296843344021im    0.02069351890659586 - 0.00017551030753376953im

[:, :, 1, 1, 1, 2, 1, 2] =
  -0.02329831766752714 + 0.015267734339048853im    0.02138530302061873 - 0.01644083075931843im
 -0.010498116396085787 + 0.024231553947606732im  -0.018307543295310237 + 0.01718145600788759im

[:, :, 2, 1, 1, 2, 1, 2] =
 -0.029659763459093387 - 0.030427159869956984im  -0.01027926333057239 + 0.05156100419706174im
  0.013581159415773161 - 0.04690141784335107im   -0.05081842553202538 + 0.008541920346775724im

[:, :, 1, 2, 1, 2, 1, 2] =
  -0.024694192450971413 - 0.005660301447366858im  -0.022671630459819278 + 0.017342916385730423im
 0.00031711573055094935 + 0.019588971545341005im   0.003599015233551439 - 0.034831086237359296im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.016234279101661055 - 0.01897648570361075im    0.004515215666997187 - 0.07591215633562526im
  0.02242405827370222 + 0.0027294636541096463im   0.07549045533706349 - 0.023399731370712426im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.007231169493465663 + 0.03366641881891781im      0.04302221030160791 - 0.024524709647103696im
 0.004813220730062278 + 0.0001586135477797436im  0.0044071562422552816 - 0.0012720449221369722im

[:, :, 2, 1, 2, 2, 1, 2] =
  -0.01012212045261974 - 0.009299469421389088im  -0.024232297969214653 - 0.007646009838671799im
 -0.009759062670243832 + 0.020657907066951357im  -0.009741858272478827 + 0.0009404920252396275im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.01685208419590708 - 0.0014158008339260801im   -0.05478824716247138 + 0.048835837377189086im
 0.001629203056110081 - 0.0013081089356733362im  -0.005004291176322203 + 0.005614659603402001im

[:, :, 2, 2, 2, 2, 1, 2] =
  -0.00634700402581611 + 0.00625850324868364im   0.036681243801499695 - 0.005836038078851901im
 -0.007550092185232048 + 0.0143807833154544im   0.0024601677725207168 - 0.01138334652258202im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.09160807644264815 + 1.1097030842206023e-16im   0.03211086854981049 + 0.05326367079577253im
 0.032110868549810365 - 0.05326367079577299im     0.046443765696651804 + 7.473660482944108e-18im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.010166647041431654 - 0.027979369190047662im  0.016357949760621816 - 0.014010269013194509im
 0.016053387893850052 + 0.06921833571580781im   -0.03220717652266759 + 0.036656516870284386im

[:, :, 1, 2, 1, 1, 2, 2] =
 0.010166647041431755 + 0.027979369190047735im   0.016053387893850045 - 0.06921833571580784im
  0.01635794976062196 + 0.014010269013194786im  -0.032207176522667524 - 0.03665651687028436im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.03677964287245501 - 1.5764697569176622e-17im  -0.028680005209405474 - 0.015846092453892166im
 -0.028680005209405304 + 0.015846092453891715im       0.0587113738598408 - 1.1964112565313756e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.024103030392240293 - 0.03940298373660769im    0.029194430031051426 + 0.0015232758202606243im
 0.013931959512396555 + 0.02139941998919992im  -0.0003339558900053257 + 0.019608242178108016im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.005422576730815353 - 0.01917130203185192im    0.005815353371090516 - 0.005343350508525624im
  -0.02600161061632834 - 0.039157337031140056im  0.0077661499012591706 - 0.03592103388920031im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.013325432734144283 - 0.003287160971732018im  -0.025827876098069788 - 0.022792467562727292im
 -0.02054346209082956 + 0.020650656742428972im   0.025645833590140207 - 0.009726680309686092im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.002780047144960854 - 0.015737308312008078im  -0.014111629602962058 + 0.00581456571278888im
    0.0308869351044858 - 0.020572348491046822im   -0.04264092895874609 + 0.01300925536610064im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.024103030392240193 + 0.039402983736607944im      0.01393195951239696 - 0.021399419989199853im
 0.029194430031051648 - 0.001523275820260679im  -0.00033395589000546596 - 0.019608242178108196im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.013325432734144108 + 0.003287160971731895im  -0.020543462090829773 - 0.020650656742429115im
 -0.02582787609806975 + 0.022792467562727018im    0.02564583359014024 + 0.009726680309686143im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.005422576730815312 + 0.019171302031852223im  -0.02600161061632815 + 0.039157337031140015im
  0.005815353371090583 + 0.005343350508525523im  0.007766149901259214 + 0.035921033889200295im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.002780047144960831 + 0.015737308312008147im   0.03088693510448599 + 0.02057234849104669im
 -0.014111629602961884 - 0.005814565712788697im  -0.04264092895874584 - 0.013009255366100758im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.024813749316444998 + 2.969136349853205e-17im  -0.007990776420884423 - 0.007305733633141282im
 -0.007990776420884334 + 0.007305733633141122im    0.023294844395275398 - 6.852703582932411e-18im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.009997203918683285 - 0.00862620427606901im   -0.006876218665662151 + 0.00936563048185458im
 0.010805684917823268 - 0.016013147571119078im   -0.02990360001336343 - 0.00640994451180711im

[:, :, 1, 2, 2, 2, 2, 2] =
    0.00999720391868336 + 0.008626204276068953im  0.010805684917823294 + 0.016013147571119005im
 -0.0068762186656620514 - 0.009365630481854554im  -0.02990360001336355 + 0.00640994451180695im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.01198550360540418 + 1.516998400305427e-17im  0.0069225254564826725 - 0.008951317036197413im
 0.006922525456482794 + 0.008951317036197299im     0.04420386068177721 + 4.9024495176936316e-17im
get_trace(ρ) = 1.0000000000000007 + 2.353497306165385e-16im
get_trace_moment(ρ, 2) = 0.6124624682175703
get_trace_moment(ρ, 3) = 0.418693702326355 + 1.491862189340054e-16im
purity_1 = 0.4534431475733416
purity_2 = 0.45344314757334153
trrho3_1 = 0.22821544642953626
trrho3_2 = 0.22821544642953634 + 1.362842130814279e-16im
purity = 0.6124624682175703
p2 = 0.6124624682175703
trrho3 = 0.418693702326355 + 1.491862189340054e-16im
p3 = 0.13223560398715678 + 1.5872719805187785e-16im
Cost function 0.939163468578351
Cost function -0.0944547150485269
Cost function -0.09445471504852687
Cost function -0.09445471504852687
Cost function -0.09445471504852687
Cost function -0.09445471504852693
Cost function -0.09445471504852693
norm(ψ_sum_approx - ψ_sum) = 3.169183595183377e-16
 53.942997 seconds (27.95 M allocations: 1.563 GiB, 0.96% gc time, 99.26% compilation time)
Running test_trace_moments.jl
  8.662553 seconds (6.32 M allocations: 342.126 MiB, 1.62% gc time, 99.92% compilation time)
  0.000325 seconds (820 allocations: 192.258 KiB)
  0.944764 seconds (330.79 k allocations: 18.617 MiB, 99.57% compilation time)
dense_moments_4_batches = 1.0000000000000002
dense_moments_nu_batches = 1.0
factorized_moments = 1.0000000000000004
  0.652371 seconds (340.64 k allocations: 19.271 MiB, 99.17% compilation time)
  0.001564 seconds (4.92 k allocations: 1.860 MiB)
  0.606532 seconds (423.34 k allocations: 42.758 MiB, 10.17% gc time, 86.42% compilation time)
dense_moments_4_batches = 3.350974664219463
dense_moments_nu_batches = 3.4029231579691057
factorized_moments = 3.402923157969108
  0.242639 seconds (133.15 k allocations: 10.152 MiB, 97.42% compilation time)
  0.005353 seconds (19.52 k allocations: 8.898 MiB)
  0.947573 seconds (5.56 M allocations: 978.165 MiB, 16.51% gc time, 7.04% compilation time)
dense_moments_4_batches = -0.5411573685947233
dense_moments_nu_batches = 0.9355753554724007
factorized_moments = 0.9355753554724006
  0.332456 seconds (142.68 k allocations: 11.892 MiB, 97.32% compilation time)
  0.047393 seconds (48.62 k allocations: 24.446 MiB, 58.23% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 16.268579 seconds (93.73 M allocations: 16.660 GiB, 14.70% gc time, 0.56% compilation time)
dense_moments_4_batches = 0.8773995460506062
dense_moments_nu_batches = 7.116761871709313
factorized_moments = 7.116761871709315
 29.976312 seconds (107.35 M allocations: 18.107 GiB, 9.27% gc time, 42.27% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m09.5s
     Testing RandomMeas tests passed 

Testing completed after 938.21s

PkgEval succeeded after 1192.41s