Package evaluation of RandomMeas on Julia 1.13.0-DEV.771 (d887bd21ab*) started at 2025-06-23T06:13:35.930


################################################################################
# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.22s


################################################################################
# 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 v1.11.1
  [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 v1.6.3
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.1
  [da1fd8a2] + CodeTracking v1.3.9
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.29.0
  [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 v4.16.0
  [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 v0.4.2
  [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 v0.73.16
  [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 v0.9.6
  [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 v1.7.0
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.3
  [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 v3.3.0
  [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 v1.40.14
  [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 v3.8.0
  [7e506255] + ScopedValues v1.3.0
  [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 v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.0
  [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 v1.6.0
  [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 v2.6.5+0
⌅ [b22a6f82] + FFMPEG_jll v4.4.4+1
  [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 v0.73.16+0
  [78b55507] + Gettext_jll v0.21.0+0
  [7746bdde] + Glib_jll v2.84.0+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 v3.100.2+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 v1.3.5+1
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.3.3+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+0
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.23.1+0
  [2381bf8a] + Wayland_protocols_jll v1.44.0+0
⌅ [02c8fc9c] + XML2_jll v2.13.6+1
  [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 v0.1.4+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 v3.11.0+0
  [0ac62f75] + libass_jll v0.15.2+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.13.4+0
  [f638f0a6] + libfdk_aac_jll v2.0.3+0
  [36db933b] + libinput_jll v1.28.1+0
  [b53b4c65] + libpng_jll v1.6.49+0
  [f27f6e37] + libvorbis_jll v1.3.7+2
  [009596ad] + mtdev_jll v1.1.7+0
⌅ [1270edf5] + x264_jll v2021.5.5+0
⌅ [dfaa095f] + x265_jll v3.5.0+0
  [d8fb68d0] + xkbcommon_jll v1.8.1+0
  [0dad84c5] + ArgTools v1.1.2
  [56f22d72] + Artifacts v1.11.0
  [2a0f44e3] + Base64 v1.11.0
  [ade2ca70] + Dates v1.11.0
  [8ba89e20] + Distributed v1.11.0
  [f43a241f] + Downloads v1.7.0
  [7b1f6079] + FileWatching v1.11.0
  [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 v1.12.0
  [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 v1.12.0
  [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 v8.14.1+1
  [e37daf67] + LibGit2_jll v1.9.0+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.5.20
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.0+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 6.24s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 202.24s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_WQM7fA/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.6
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.14
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.8.0
  [2913bbd2] StatsBase v0.34.5
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_WQM7fA/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 v1.11.1
  [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 v1.6.3
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.25.1
  [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.29.0
  [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 v4.16.0
  [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 v0.4.2
  [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 v0.73.16
  [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 v0.9.6
  [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 v1.7.0
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.3
  [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 v3.3.0
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [128add7d] MicroCollections v0.2.0
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⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
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⌅ [30392449] Pixman_jll v0.44.2+0
  [c0090381] Qt6Base_jll v6.8.2+1
  [629bc702] Qt6Declarative_jll v6.8.2+1
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  [e99dba38] Qt6Wayland_jll v6.8.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.23.1+0
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⌅ [02c8fc9c] XML2_jll v2.13.6+1
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⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+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
102.097930 seconds (103.37 M allocations: 5.286 GiB, 2.47% gc time, 99.89% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9512575757575757
overlap = 0.4046379999999998
fidelity = 0.42292602418370523
exact_fidelity = 0.4165736470201683
XEB = 1.3147610113034138
self_XEB = 1.2624053280440117
 96.877817 seconds (79.05 M allocations: 4.175 GiB, 1.72% gc time, 99.64% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.600453 seconds (5.65 M allocations: 304.079 MiB, 1.49% gc time, 98.74% compilation time: 5% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=697|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=697|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.8649986997376844 - 0.16581198390929083im  0.046554247360483234 + 0.4712921996987419im
 -0.18249120848919287 - 0.4370132655518982im     -0.840192808692181 + 0.26418252928186514im, ITensor ord=2
Dim 1: (dim=2|id=821|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=821|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.5026023481333792 - 0.5702328893622042im  -0.18475237143856504 - 0.6229702182193564im
 0.5666389322353516 + 0.3180340422275997im   -0.6673197641367707 + 0.3639491734459619im, ITensor ord=2
Dim 1: (dim=2|id=432|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=432|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.2452639696651029 + 0.18909192466612604im    0.9020011379486181 - 0.30080521330185317im
 0.05107021308307225 + 0.949463881643649im    -0.26588424589869164 - 0.15879464277080801im, ITensor ord=2
Dim 1: (dim=2|id=709|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=709|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.37337137625882244 - 0.3241646427785817im    0.6456744404095642 + 0.5819068798052002im
 -0.8330406522739633 - 0.2481015345010936im  -0.08225729592567821 + 0.4875680849934376im], Index{Int64}[(dim=2|id=697|"Qubit,Site,n=1"), (dim=2|id=821|"Qubit,Site,n=2"), (dim=2|id=432|"Qubit,Site,n=3"), (dim=2|id=709|"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
118.817447 seconds (78.83 M allocations: 4.122 GiB, 1.81% gc time, 99.81% compilation time: 4% 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.
 11.687449 seconds (5.19 M allocations: 333.547 MiB, 1.35% gc time, 97.61% compilation time)
Running test_measurement_probability.jl
  0.267780 seconds (253.29 k allocations: 13.543 MiB, 81.64% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_V9Fli3/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.931209 seconds (1.80 M allocations: 95.342 MiB, 94.05% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.4165736470201684
expect_batch = 0.4172362617460371 + 1.2597196091700122e-17im
expect_dense = 0.41723626174603773 + 8.419065215392226e-18im
expect_factorized = 0.4172362617460377 - 3.914917912436972e-18im
 18.076160 seconds (15.28 M allocations: 1.131 GiB, 1.72% gc time, 94.55% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:31
Progress: 100%|█████████████████████████████████████████| Time: 0:01:07
Cost function 0.7196412380701205
Cost function -0.4581263271199889

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.4581263271199889
Cost function -0.458126327119989

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.458126327119989
building shallow map
inversing shallow map
initial loss 0.9637259667735583
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 196.92 s: f = 0.054114557550, ‖∇f‖ = 5.2294e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
441.489551 seconds (326.89 M allocations: 18.035 GiB, 1.49% 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=739|"Qubit,Site,n=1")
Dim 2: (dim=2|id=827|"Qubit,Site,n=2")
Dim 3: (dim=2|id=503|"Qubit,Site,n=3")
Dim 4: (dim=2|id=739|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  -0.1136982739272949 - 0.03622028135380702im  -0.22815060846930274 + 0.042177580223124705im
 -0.04365728493536132 - 0.0512536354044432im    0.10511116857272361 + 0.3512344181388272im

[:, :, 2, 1] =
 0.23344300568482423 - 0.010178133039639048im  0.15395522585640514 - 0.2283150467756986im
  0.3269084745232533 - 0.21318354234035009im   -0.2255908569911243 - 0.14601178472851611im

[:, :, 1, 2] =
  0.0769164373157845 - 0.13410803146545908im   0.06157419789481363 + 0.016556966399771136im
 -0.2183948065337059 - 0.03456730931787848im  -0.07122700432853662 - 0.1142044675282228im

[:, :, 2, 2] =
 -0.0020002359243853664 + 0.015874989776150067im  -0.15153554357849086 - 0.01023901483387787im
  -0.028974835178467766 + 0.2877253460483195im     -0.3458790302836277 + 0.34127800405062525im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=739|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=739|"Qubit,Site,n=1")
Dim 3: (dim=2|id=827|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=827|"Qubit,Site,n=2")
Dim 5: (dim=2|id=503|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=503|"Qubit,Site,n=3")
Dim 7: (dim=2|id=739|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=739|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
    0.01595152105734452 - 6.455012824785014e-17im  -0.0018901067908028884 - 0.013162528666777295im
 -0.0018901067908030113 + 0.013162528666777487im     0.027947499658066845 + 7.146207146626528e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 0.0059031733435730895 - 0.0002575195594335994im    0.03304444426951146 - 0.00032015432174264984im
 -0.018099034974132535 - 0.029128129556851717im   -0.021428488011222747 - 0.001277332237949766im

[:, :, 1, 2, 1, 1, 1, 1] =
 0.005903173343572993 + 0.0002575195594335216im  -0.018099034974132622 + 0.029128129556851724im
  0.03304444426951134 + 0.0003201543217425622im   -0.02142848801122274 + 0.0012773322379497625im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.07177988365643649 - 3.520258632244731e-17im  -0.010568037347072068 + 0.0507923183592664im
 -0.010568037347072054 - 0.05079231835926634im      0.09666699705560904 - 2.573955030892341e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.016138161824031324 + 0.01955512343526226im    0.012641493359719844 - 0.009315529071491054im
 -0.028526230945545513 + 0.022296683372465886im  0.0014320621038875676 + 0.03501380827384659im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.011236391881044685 + 0.015533465274692694im   -0.002338122275351881 + 0.027911840015482442im
   0.03320049465918519 + 0.0024117620167820077im  -0.006665620271121472 - 0.019403529089609767im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.022621759772354817 - 0.0324833803524191im    0.006143530960172995 - 0.05851853457917648im
   -0.0481043783034649 + 0.04167330513022899im  -0.025367816162127448 - 0.1007274609616668im

[:, :, 2, 2, 2, 1, 1, 1] =
  -0.03211937892597884 + 0.05122944482787797im  -0.03995015781758518 - 0.05680706105035541im
 0.0049582772755710994 + 0.01936382521091347im  -0.05185652486430869 + 0.052609869116770236im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.016138161824031244 - 0.0195551234352623im    -0.02852623094554525 - 0.022296683372465837im
      0.01264149335972 + 0.009315529071490894im  0.001432062103887662 - 0.03501380827384671im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.022621759772354814 + 0.032483380352419135im  -0.04810437830346508 - 0.041673305130229016im
  0.006143530960172949 + 0.05851853457917667im   -0.02536781616212759 + 0.10072746096166697im

[:, :, 1, 2, 1, 2, 1, 1] =
  -0.011236391881044708 - 0.01553346527469261im     0.03320049465918485 - 0.00241176201678222im
 -0.0023381222753520573 - 0.027911840015482626im  -0.006665620271121438 + 0.019403529089609864im

[:, :, 2, 2, 1, 2, 1, 1] =
  -0.03211937892597904 - 0.05122944482787789im   0.004958277275571126 - 0.019363825210913493im
 -0.039950157817585104 + 0.056807061050355406im  -0.05185652486430856 - 0.05260986911677022im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.06650793692477089 - 8.44597949584493e-18im  0.04571002348010981 + 0.016625794445523638im
 0.045710023480109725 - 0.016625794445523707im  0.11854836931273272 + 1.518738691212267e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.011022913933448309 - 0.028370229053496468im  0.07884625267934932 - 0.022981841865974018im
 -0.03909117315310844 - 0.05148358036627065im   -0.0433740515755297 - 0.05675506579193762im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.011022913933448382 + 0.028370229053496402im  -0.039091173153108304 + 0.05148358036627059im
   0.0788462526793493 + 0.022981841865974035im  -0.043374051575529565 + 0.05675506579193761im

[:, :, 2, 2, 2, 2, 1, 1] =
   0.06403678522980842 - 6.190275046905861e-17im  -0.006367361086527568 + 0.036387997911420104im
 -0.006367361086527527 - 0.036387997911419806im     0.07485194497863862 - 6.008168260715195e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.002121191601463287 + 0.023356951513209302im    0.015345397016744573 - 0.013341862663947112im
  0.02199413266649494 - 0.005435746629901141im  -0.0007583265813558529 - 0.010190094772556767im

[:, :, 2, 1, 1, 1, 2, 1] =
 0.002570714886281735 + 0.016037208906560123im  0.015631285005102094 - 0.029323470041379807im
 0.016577896322530997 + 0.01332090689121079im    0.00763083844244942 - 0.019435007803182903im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.009360962917339748 - 0.008105649944126502im  -0.034868619877042685 - 0.027157076320641557im
  0.022941197847561823 + 0.011375122091602343im  -0.023385073131718146 + 0.0539153440826331im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.0006479458448615781 - 0.04569967445967347im    -0.002622541592354659 - 0.011044065602761662im
   0.001987545587887503 - 0.0028401107509579693im     -0.038301468878944 + 0.013414446009321093im

[:, :, 1, 1, 2, 1, 2, 1] =
 0.0007268922137436372 + 0.01032905039134144im    0.018238225928283863 - 0.01517565165858973im
 -0.006254598280515973 - 0.018594400201859672im  0.0005545333501517785 - 0.013290034516243433im

[:, :, 2, 1, 2, 1, 2, 1] =
 6.359768731303752e-5 - 0.0019774090141780973im    0.02043550856870467 + 0.01457862531451275im
 0.022868822655275185 - 0.04203454649001111im    -0.016514579268263697 - 0.022842512752384494im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.016260088661627044 - 0.025680618756299546im  -0.003847537415481145 + 0.0006709856672774371im
  0.02297035678129908 - 0.052637770585289526im    0.06555141637730594 + 0.026784724209990684im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.04836760213163531 + 0.02234295398278596im  -0.012644373537675429 + 0.02849588743207037im
 0.04878912769385377 - 0.03881264954302263im    0.06182154671925004 + 0.11355618921389125im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.03829700812819529 - 0.027830486635498763im  0.025903138680959607 - 0.03100938370229737im
 -0.03975798576754605 - 0.01617896017482424im    -0.0484482315170925 - 0.035149894880006im

[:, :, 2, 1, 1, 2, 2, 1] =
 0.04667536517123656 - 0.008007392782932051im  -0.006624522614875004 - 0.0040057800291100586im
 0.00503870935027181 - 0.0341430415238439im     -0.01283859903526163 - 0.04078452024867035im

[:, :, 1, 2, 1, 2, 2, 1] =
   0.01412788901766878 - 0.005425544164076012im  0.004644025687858195 + 0.05256864672069518im
 -0.018094370395811972 - 0.032432452912393786im   0.04677271425546633 - 0.019796153946488756im

[:, :, 2, 2, 1, 2, 2, 1] =
  -0.01956756102668284 + 0.007656194139688899im  -0.005402530463747824 + 0.03874839287393815im
 -0.002413757047182957 - 0.019746150721307355im    0.03485868466105191 + 0.02707417608386111im

[:, :, 1, 1, 2, 2, 2, 1] =
   0.02487016862406793 + 0.004748275884143327im  -0.009866689348168093 - 0.01158250959418422im
 0.0035561587990375117 + 0.05136230977101748im    -0.05038570423827398 + 0.054227634577773895im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.026911132869069956 + 0.023900899797433917im  -0.01746037268596134 - 0.03240487489255641im
  -0.07057615869405065 + 0.04251750861451774im   -0.13234113382019153 + 0.036526836580774394im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.016253754950606724 - 0.006833268183926048im  -0.006224536086663138 + 0.020315582139215874im
   -0.0536069435309151 + 0.02097440552565448im   -0.030212840100882064 - 0.03941258823761808im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.006067839399667909 - 0.039556819988182945im  0.0007196233420474762 - 0.018993319864972276im
  -0.08833139741915519 - 0.009267105269320855im   0.031000516997407867 - 0.09868908485327268im

[:, :, 1, 1, 1, 1, 1, 2] =
  0.00212119160146316 - 0.023356951513209344im      0.0219941326664948 + 0.0054357466299009335im
 0.015345397016744537 + 0.013341862663946966im  -0.0007583265813557554 + 0.010190094772556857im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.009360962917339842 + 0.00810564994412645im     0.02294119784756179 - 0.011375122091602421im
 -0.034868619877042824 + 0.027157076320641606im  -0.023385073131718212 - 0.053915344082633196im

[:, :, 1, 2, 1, 1, 1, 2] =
 0.0025707148862817233 - 0.016037208906560175im  0.016577896322530802 - 0.013320906891211053im
   0.01563128500510173 + 0.029323470041379578im  0.007630838442449352 + 0.019435007803182826im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.0006479458448615484 + 0.04569967445967351im   0.0019875455878875137 + 0.0028401107509580595im
  -0.002622541592354612 + 0.011044065602761782im   -0.03830146887894398 - 0.013414446009321077im

[:, :, 1, 1, 2, 1, 1, 2] =
 0.03829700812819531 + 0.027830486635498766im  -0.03975798576754595 + 0.016178960174824286im
 0.02590313868095974 + 0.03100938370229743im   -0.04844823151709245 + 0.03514989488000604im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.014127889017668809 + 0.005425544164075964im  -0.018094370395812163 + 0.032432452912394064im
 0.004644025687858362 - 0.052568646720694875im    0.04677271425546641 + 0.019796153946489065im

[:, :, 1, 2, 2, 1, 1, 2] =
  0.046675365171236605 + 0.008007392782932048im    0.005038709350271928 + 0.034143041523843884im
 -0.006624522614874879 + 0.0040057800291098886im  -0.012838599035261574 + 0.04078452024867032im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.019567561026682917 - 0.007656194139688894im  -0.002413757047182905 + 0.01974615072130764im
  -0.00540253046374764 - 0.038748392873937804im   0.034858684661051915 - 0.027074176083861173im

[:, :, 1, 1, 1, 2, 1, 2] =
 0.0007268922137436615 - 0.010329050391341337im  -0.006254598280516131 + 0.018594400201859648im
  0.018238225928283773 + 0.01517565165858981im   0.0005545333501517091 + 0.013290034516243316im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.016260088661627026 + 0.025680618756299664im   0.022970356781299345 + 0.052637770585289706im
 -0.003847537415480968 - 0.0006709856672775169im   0.06555141637730626 - 0.026784724209990708im

[:, :, 1, 2, 1, 2, 1, 2] =
 6.359768731304619e-5 + 0.001977409014178133im    0.02286882265527523 + 0.042034546490011im
 0.020435508568704734 - 0.014578625314512652im  -0.016514579268263895 + 0.022842512752384365im

[:, :, 2, 2, 1, 2, 1, 2] =
   0.04836760213163525 - 0.022342953982785872im  0.04878912769385378 + 0.038812649543022736im
 -0.012644373537675379 - 0.028495887432070228im  0.06182154671924986 - 0.11355618921389132im

[:, :, 1, 1, 2, 2, 1, 2] =
  0.024870168624067986 - 0.0047482758841433555im  0.003556158799037507 - 0.05136230977101755im
 -0.009866689348168207 + 0.011582509594184099im   -0.05038570423827398 - 0.054227634577773874im

[:, :, 2, 1, 2, 2, 1, 2] =
   -0.0162537549506067 + 0.006833268183925932im  -0.053606943530915066 - 0.02097440552565469im
 -0.006224536086663103 - 0.02031558213921572im   -0.030212840100882293 + 0.039412588237617854im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.02691113286906995 - 0.02390089979743408im  -0.07057615869405068 - 0.04251750861451771im
 -0.01746037268596113 + 0.03240487489255611im   -0.1323411338201914 - 0.03652683658077429im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.006067839399667866 + 0.039556819988182855im  -0.08833139741915531 + 0.009267105269320881im
 0.0007196233420475248 + 0.018993319864972494im   0.03100051699740771 + 0.09868908485327303im

[:, :, 1, 1, 1, 1, 2, 2] =
     0.039901474515015 - 4.637962117073854e-17im  -0.010242942564743117 + 0.03120831776022254im
 -0.010242942564743123 - 0.031208317760222263im    0.037729473948481654 + 7.280072807891641e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.03647535950078991 + 0.0052992043300716446im  -0.011880695337728649 + 0.012313107638303435im
  0.0241999948428943 - 0.022322874784718113im    0.015981930939195765 + 0.023053187611835335im

[:, :, 1, 2, 1, 1, 2, 2] =
   0.03647535950078976 - 0.005299204330071714im  0.024199994842894593 + 0.022322874784718255im
 -0.011880695337728503 - 0.012313107638303128im   0.01598193093919557 - 0.023053187611835477im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.05493638303355319 - 6.726822268326255e-18im  0.022108174112947687 + 0.017285424448806028im
 0.022108174112947576 - 0.017285424448805438im   0.029503467032668665 - 2.455606839544722e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.020070984734022503 + 0.008349188877724395im  -0.004628151163872408 + 0.005223287201165037im
 -0.02055479796705487 + 0.01912024503110842im   -0.005554340696827236 - 0.04210142315683581im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.015233573584679744 + 0.008056593245873161im  0.015297246711838557 - 0.006873130648878683im
 -0.058375393446164964 - 0.026196751448229402im  0.049814429127006864 - 0.06258457726557023im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.03210718759455169 + 0.013500565450206423im  0.011876865591010073 + 0.013661562424639869im
 0.01371881361366733 + 0.02272381159623625im   -0.01816697964511774 - 0.008635954722484546im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.020042080638192978 + 0.035047951492847104im    -0.0069800723669379925 + 0.0021678049541055005im
 -0.021794520306693883 + 0.00013007744012470552im   -0.010847341203751642 - 0.05686847979063365im

[:, :, 1, 1, 1, 2, 2, 2] =
  0.020070984734022527 - 0.008349188877724371im   -0.02055479796705477 - 0.019120245031108308im
 -0.004628151163872274 - 0.005223287201164922im  -0.005554340696827159 + 0.042101423156835745im

[:, :, 2, 1, 1, 2, 2, 2] =
   0.0321071875945516 - 0.013500565450206453im  0.013718813613667492 - 0.02272381159623596im
 0.011876865591010099 - 0.013661562424639652im  -0.01816697964511775 + 0.00863595472248462im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.015233573584679727 - 0.008056593245873137im  -0.05837539344616488 + 0.026196751448229427im
   0.01529724671183863 + 0.006873130648878886im   0.04981442912700667 + 0.06258457726557014im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.020042080638192877 - 0.03504795149284708im     -0.02179452030669389 - 0.00013007744012441929im
 -0.006980072366938145 - 0.0021678049541054047im  -0.010847341203751469 + 0.05686847979063348im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.022990787507270644 - 5.2770810163058764e-17im  0.012838958982506607 - 0.0031987729930926024im
 0.012838958982506593 + 0.003198772993092734im     0.06305024402607344 - 4.9123145888726694e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.00015373829258480136 + 0.02571604518748735im   0.004487648728496804 + 0.040828859031613186im
  -0.006950722364995371 - 0.005394045638476132im   0.06976641175259699 + 0.06066811420302769im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.0001537382925846229 - 0.02571604518748735im  -0.006950722364995584 + 0.005394045638475937im
  0.004487648728496693 - 0.04082885903161297im    0.06976641175259658 - 0.06066811420302764im

[:, :, 2, 2, 2, 2, 2, 2] =
 0.041435380788299433 + 6.354579434339001e-17im  0.024992827560836123 + 0.026880170795948236im
   0.0249928275608362 - 0.026880170795948056im    0.17416185127523018 + 1.0985255323641511e-16im
get_trace(ρ) = 1.0 - 1.0263061130055917e-16im
get_trace_moment(ρ, 2) = 0.5865664191923557
get_trace_moment(ρ, 3) = 0.3798496287885338 + 3.469446951953614e-18im
purity_1 = 0.5131152050698624
purity_2 = 0.5131152050698616
trrho3_1 = 0.29210413909928357
trrho3_2 = 0.2921041390992831 + 6.862999751833243e-17im
purity = 0.5865664191923557
p2 = 0.5865664191923557
trrho3 = 0.3798496287885338 + 3.469446951953614e-18im
p3 = 0.1299420575656426 - 4.163336342344337e-17im
Cost function 0.7748467052798987
Cost function -0.12036061913263316
Cost function -0.12036061913263313
Cost function -0.12036061913263314
Cost function -0.12036061913263316
Cost function -0.12036061913263317
Cost function -0.12036061913263311
norm(ψ_sum_approx - ψ_sum) = 4.974756253865709e-16
 53.505586 seconds (30.41 M allocations: 1.635 GiB, 0.90% gc time, 99.53% compilation time)
Running test_trace_moments.jl
  8.450846 seconds (6.90 M allocations: 360.919 MiB, 1.89% gc time, 99.92% compilation time)
  0.000432 seconds (820 allocations: 192.258 KiB)
  1.154633 seconds (339.95 k allocations: 18.498 MiB, 99.60% compilation time)
dense_moments_4_batches = 0.9999999999999997
dense_moments_nu_batches = 0.9999999999999997
factorized_moments = 0.9999999999999994
  0.798518 seconds (373.63 k allocations: 20.433 MiB, 99.24% compilation time)
  0.001775 seconds (4.92 k allocations: 1.860 MiB)
  0.655740 seconds (444.66 k allocations: 43.413 MiB, 95.33% compilation time)
dense_moments_4_batches = 10.49731835639661
dense_moments_nu_batches = 8.365121905246967
factorized_moments = 8.365121905246967
  0.313663 seconds (147.09 k allocations: 10.684 MiB, 97.45% compilation time)
  0.006986 seconds (19.52 k allocations: 8.898 MiB)
  1.174976 seconds (5.56 M allocations: 978.223 MiB, 17.13% gc time, 8.18% compilation time)
dense_moments_4_batches = -0.1032536914853653
dense_moments_nu_batches = 1.4924399772494394
factorized_moments = 1.4924399772494474
  0.348101 seconds (158.97 k allocations: 12.518 MiB, 8.14% gc time, 89.17% compilation time)
  0.019482 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
 15.337603 seconds (93.73 M allocations: 16.660 GiB, 14.92% gc time, 0.55% compilation time)
dense_moments_4_batches = 46.80629951673336
dense_moments_nu_batches = 38.94165592944796
factorized_moments = 38.941655929447926
 29.269131 seconds (108.02 M allocations: 18.127 GiB, 9.15% gc time, 43.55% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  14m40.8s
     Testing RandomMeas tests passed 

Testing completed after 909.63s

PkgEval succeeded after 1143.67s