Package evaluation of RandomMeas on Julia 1.13.0-DEV.873 (be59b3b2f4*) started at 2025-07-18T10:34:29.376


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.48s


################################################################################
# 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 v1.7.0
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.2
  [da1fd8a2] + CodeTracking v1.3.9
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.17.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.18.22
  [e2d170a0] + DataValueInterfaces v1.0.0
  [244e2a9f] + DefineSingletons v0.1.2
  [8bb1440f] + DelimitedFiles v1.9.1
  [85a47980] + Dictionaries v0.4.5
  [163ba53b] + DiffResults v1.1.0
  [b552c78f] + DiffRules v1.15.1
  [ffbed154] + DocStringExtensions v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.2
  [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 v0.73.17
  [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 v1.7.0
  [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 v3.4.2
  [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 v3.8.0
  [7e506255] + ScopedValues v1.4.0
  [6c6a2e73] + Scratch v1.3.0
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
  [992d4aef] + Showoff v1.0.3
  [777ac1f9] + SimpleBufferStream v1.2.0
  [699a6c99] + SimpleTraits v0.9.4
  [a2af1166] + SortingAlgorithms v1.2.1
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.14
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.29
  [3bb67fe8] + TranscodingStreams v0.11.3
  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
  [5c2747f8] + URIs v1.6.1
  [1cfade01] + UnicodeFun v0.4.1
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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 v0.73.17+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 v3.11.0+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 v2.0.4+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 v2021.5.5+0
⌅ [dfaa095f] + x265_jll v3.5.0+0
  [d8fb68d0] + xkbcommon_jll v1.9.2+0
  [0dad84c5] + ArgTools v1.1.2
  [56f22d72] + Artifacts v1.11.0
  [2a0f44e3] + Base64 v1.11.0
  [ade2ca70] + Dates v1.11.0
  [8ba89e20] + Distributed v1.11.0
  [f43a241f] + Downloads v1.7.0
  [7b1f6079] + FileWatching v1.11.0
  [9fa8497b] + Future v1.11.0
  [b77e0a4c] + InteractiveUtils v1.11.0
  [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0
  [b27032c2] + LibCURL v0.6.4
  [76f85450] + LibGit2 v1.11.0
  [8f399da3] + Libdl v1.11.0
  [37e2e46d] + LinearAlgebra v1.12.0
  [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 v1.9.1+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 6.78s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 145.54s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_vDORQr/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 v3.8.0
  [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_vDORQr/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 v1.7.0
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.25.2
  [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.17.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.2
  [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 v0.73.17
  [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 v1.7.0
  [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 v3.4.2
  [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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⌅ [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
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  [e99dba38] Qt6Wayland_jll v6.8.2+1
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⌅ [0ac62f75] libass_jll v0.15.2+0
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⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
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  [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
108.252583 seconds (98.73 M allocations: 5.243 GiB, 2.27% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.072563636363636
overlap = 0.054898000000000016
fidelity = 0.05154857015358687
exact_fidelity = 0.09607318976753977
XEB = 1.7122738567364995
self_XEB = 1.8349216053094164
104.745374 seconds (72.31 M allocations: 3.961 GiB, 1.96% gc time, 99.64% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.150637 seconds (5.37 M allocations: 300.977 MiB, 2.55% gc time, 98.73% 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=313|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=313|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.9117473020844828 - 0.3979394305512757im    -0.05861937248001807 - 0.08321559904394164im
 -0.0909554415713016 + 0.045696546945723386im   -0.6159860609257808 - 0.7811530618201195im, ITensor ord=2
Dim 1: (dim=2|id=900|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=900|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.6205328624461406 - 0.6859607828128086im   0.3789282876334222 - 0.02846267553201043im
 0.06663182884922851 - 0.3741082336055238im  -0.7451897964005179 + 0.5479921498281857im, ITensor ord=2
Dim 1: (dim=2|id=741|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=741|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   -0.5236873720167701 - 0.17373307163932078im   -0.464977209616712 + 0.6923615751513023im
 -0.019738768691260122 + 0.8337737925957428im   -0.5279599723085884 - 0.1602807269479991im, ITensor ord=2
Dim 1: (dim=2|id=662|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=662|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
    0.352845814574674 - 0.6691004993475236im  0.26911844694453146 - 0.5961372446208947im
 -0.09998863106531483 - 0.646379630378088im   0.16116779508047685 + 0.7390673777937085im], Index{Int64}[(dim=2|id=313|"Qubit,Site,n=1"), (dim=2|id=900|"Qubit,Site,n=2"), (dim=2|id=741|"Qubit,Site,n=3"), (dim=2|id=662|"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
124.266475 seconds (72.47 M allocations: 3.941 GiB, 1.13% gc time, 99.81% 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.
 11.521090 seconds (4.85 M allocations: 323.132 MiB, 0.52% gc time, 96.94% compilation time)
Running test_measurement_probability.jl
  0.296145 seconds (234.44 k allocations: 12.959 MiB, 83.45% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_yVLXXE/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.100336 seconds (1.67 M allocations: 92.177 MiB, 1.90% gc time, 94.19% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.09607318976753983
expect_batch = 0.17953159232617083 - 7.065736345654568e-18im
expect_dense = 0.17953159232617086 - 4.032091929461706e-18im
expect_factorized = 0.17953159232617089 + 4.059759832936887e-18im
 18.460825 seconds (14.36 M allocations: 1.104 GiB, 1.69% gc time, 95.11% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:44
Progress: 100%|█████████████████████████████████████████| Time: 0:01:11
Cost function 0.9817997861574963
Cost function -0.5927974909136542

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.5927974909136542
Cost function -0.5927974909136544

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.5927974909136543
building shallow map
inversing shallow map
initial loss 1.0049081024721342
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 203.67 s: f = 0.008205653802, ‖∇f‖ = 6.3616e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
459.514288 seconds (308.88 M allocations: 17.583 GiB, 1.49% gc time, 99.10% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=460|"Qubit,Site,n=1")
Dim 2: (dim=2|id=270|"Qubit,Site,n=2")
Dim 3: (dim=2|id=672|"Qubit,Site,n=3")
Dim 4: (dim=2|id=3|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  -0.216856567273969 - 0.13467864870670748im   -0.2929320520110994 - 0.19398705976816355im
 0.24981047068304715 - 0.11052494882807876im  0.008096718556904452 + 0.1821408855251621im

[:, :, 2, 1] =
 0.07079653277297124 - 0.14883643327331034im   0.11330905947480802 + 0.006794593797660309im
  0.1455949032333047 - 0.1647247733662055im   -0.13470567860240956 - 0.22319710359146033im

[:, :, 1, 2] =
 0.037633678501295884 - 0.10994367390726197im   0.4361234605559998 + 0.05398543116460558im
  -0.1373747920865838 - 0.13696277343323948im  -0.0763754256815043 - 0.22763772070053734im

[:, :, 2, 2] =
 0.029549597301148436 - 0.019160847738348186im  -0.16436970815313784 + 0.25954878864671194im
   0.2771755686694878 - 0.15808940184434125im     0.2031084711445887 - 0.08117215763947219im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=460|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=460|"Qubit,Site,n=1")
Dim 3: (dim=2|id=270|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=270|"Qubit,Site,n=2")
Dim 5: (dim=2|id=672|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=672|"Qubit,Site,n=3")
Dim 7: (dim=2|id=3|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=3|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.05051926979507473 + 8.178103499392911e-16im  -0.03452478509970657 - 0.04805519537351418im
 -0.03452478509970639 + 0.048055195373514326im    0.07446886438275026 - 7.90542331040815e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
   0.06312938466844298 + 0.001825036599750525im   -0.03676137615091009 - 0.05716664802981778im
 -0.012774108212691966 - 0.012633841383692336im  0.0017219057781135067 + 0.0031993126557348303im

[:, :, 1, 2, 1, 1, 1, 1] =
  0.06312938466844226 - 0.0018250365997498112im  -0.012774108212692068 + 0.012633841383692288im
 -0.03676137615091005 + 0.05716664802981822im    0.0017219057781136323 - 0.003199312655735221im

[:, :, 2, 2, 1, 1, 1, 1] =
  0.08643669053886785 - 2.1146085531054804e-16im  -0.02598115498202892 + 0.035154389132845215im
 -0.02598115498202905 - 0.035154389132844986im     0.07114432225845398 - 1.4049456061629416e-16im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.0006132781870819794 + 0.03448584510870468im  0.03770021403421219 - 0.021881187705767736im
  -0.030889144458565727 + 0.03470043745701757im  0.06668198972884674 + 0.026548709700939793im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.01591542255150029 + 0.011028891760702443im  0.018702104185456467 + 0.004946963697581574im
  0.03981083616814422 + 0.029280555923296668im  0.008878836768717242 - 0.058405119260536036im

[:, :, 1, 2, 2, 1, 1, 1] =
 0.005389808096878713 + 0.04052636325953199im   -0.007881776075784335 + 0.0074458775706015634im
 -0.00933761006763106 + 0.053210605482337296im   -0.05979228114083845 + 0.04655279134277515im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.02401165353929238 + 0.014100609977009671im   0.007722830144107836 - 0.018422940873344257im
  0.05779189190758417 + 0.02809140389262763im   -0.007610088803969624 + 0.030082675072513873im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.0006132781870819549 - 0.03448584510870366im  -0.03088914445856531 - 0.03470043745701747im
    0.03770021403421226 + 0.02188118770576802im    0.0666819897288462 - 0.02654870970094099im

[:, :, 2, 1, 1, 2, 1, 1] =
  0.005389808096878761 - 0.040526363259532176im  -0.009337610067630566 - 0.05321060548233731im
 -0.007881776075784202 - 0.007445877570601526im   -0.05979228114083885 - 0.046552791342775526im

[:, :, 1, 2, 1, 2, 1, 1] =
 -0.015915422551500216 - 0.011028891760702113im   0.03981083616814407 - 0.02928055592329645im
  0.018702104185456536 - 0.004946963697581502im  0.008878836768717783 + 0.05840511926053589im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.024011653539292695 - 0.014100609977009513im    0.057791891907584235 - 0.02809140389262771im
  0.007722830144107957 + 0.01842294087334446im   -0.0076100888039696115 - 0.03008267507251408im

[:, :, 1, 1, 2, 2, 1, 1] =
 0.027666447620070832 + 6.504562013238085e-16im  0.03941797289157788 - 0.03608642248398661im
  0.03941797289157785 + 0.03608642248398692im     0.1577348393618336 - 3.846415797463817e-16im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.004843386605719325 + 0.008997545803451265im  8.377585712030235e-5 + 0.008506544118931654im
 0.026531249827664218 - 0.029746112951576784im   0.01367852456067884 - 0.0798217516583049im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.0048433866057187485 - 0.008997545803451258im  0.026531249827664204 + 0.029746112951577034im
  8.377585712048478e-5 - 0.008506544118931673im  0.013678524560679244 + 0.0798217516583051im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.010162863595993402 + 7.178196493617907e-17im  -0.010129332701296985 + 0.013410625253069988im
 -0.010129332701297022 - 0.013410625253069998im     0.06152436994129967 - 3.464939870763142e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.004076372964961821 + 0.022983357194214994im  0.020238532632388936 - 0.019339721058221265im
  0.03298722401899578 + 0.008642552180969586im   -0.0110462832922471 - 0.03450180865030799im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.07272906146015345 + 0.037770609185873466im   0.08178614939082679 + 0.03849855623921933im
  0.02943859043423907 + 0.0396587430611735im    0.028821624386905297 - 0.05764037091685709im

[:, :, 1, 2, 1, 1, 2, 1] =
 0.007165205654021629 + 0.027863426215695333im  -0.006484132106982985 - 0.0005972215478077629im
  0.04670695745102625 + 0.009490620243931902im  -0.016801419084594857 + 0.019922039849276284im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.09687440146719552 + 0.048520212222032434im     0.0218027661671555 - 0.04556032500528226im
  0.04628124208035095 + 0.037241289006735484im  0.0021537766941154882 + 0.03307290510329537im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.0007206094374469368 + 0.003120676500660993im  -0.0002109451061952667 - 0.00046432608063730167im
   -0.01508783598645825 + 0.047692048896062905im     0.03955393443613741 - 0.021750048169045452im

[:, :, 2, 1, 2, 1, 2, 1] =
 0.0010647074481900428 - 0.055032805327357104im  -0.049874279101412594 + 0.031948866946568094im
  -0.02083360550459549 + 0.028052847238297055im   0.033053209187373554 + 0.0027178271173224386im

[:, :, 1, 2, 2, 1, 2, 1] =
 -0.0033047395150875084 + 0.007747476506438363im  -0.0075083470992326744 - 0.01252151229351752im
  -0.034443195096281305 + 0.06988320074193378im    -0.011802742165041898 - 0.07414957066461969im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.0014953448751647662 - 0.07555081415709809im   0.032429321621618504 + 0.020577533780323252im
  -0.030442272482772283 + 0.043966865767889204im  -0.01643811488115527 - 0.03709406788935219im

[:, :, 1, 1, 1, 2, 2, 1] =
 0.016699421172696204 - 0.003097762722172975im   0.01711100827468006 - 0.02095645417064216im
 0.008934468713389328 - 0.02090974380586201im   0.004992299035285849 - 0.034419337787511675im

[:, :, 2, 1, 1, 2, 2, 1] =
 0.022291436741287123 + 0.0457861708695482im   0.041358843313538736 + 0.030558579893993985im
  0.03589853352706053 - 0.02517102368176384im  0.026281436639247577 - 0.09599266030981046im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.0030076882895728385 - 0.007659292238133775im  0.018361160785555924 + 0.01625736793644906im
 -0.011627543204844746 - 0.009676085431868004im  0.035944632039822524 - 0.007537736215615643im

[:, :, 2, 2, 1, 2, 2, 1] =
   0.03564756622309051 + 0.004515581687917228im  -0.04105647826391316 + 0.06375956535409867im
 -0.005102477856425331 - 0.011845012172761085im   0.06432592247075308 + 0.011290075539178115im

[:, :, 1, 1, 2, 2, 2, 1] =
  -0.0008350060378192 + 0.0020906998568352275im  -0.002376255868783282 + 0.01582744954762281im
 0.018008770172000525 + 0.010121631266305697im    -0.01144103869204084 + 0.03786372511996802im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.035796213526771356 - 0.004772862479090362im  -0.049455134113909616 + 0.0086595562631984im
  0.013021678399882414 + 0.017358428875045934im   0.021236466100767713 + 0.034020608242996686im

[:, :, 1, 2, 2, 2, 2, 1] =
 0.002298376858496886 - 0.003221302835436076im  -0.004714097330078375 + 0.004070174098013102im
 0.025292370058370265 - 0.018209913919506188im   -0.00959875886179025 + 0.03909027483418084im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.011612671904454601 + 0.021150592429268637im  -0.025478756002113166 - 0.051069519080556305im
  0.015684446401213997 - 0.00940522370093659im   -0.012916593266536613 + 0.03668355142061499im

[:, :, 1, 1, 1, 1, 1, 2] =
 0.004076372964960838 - 0.022983357194214418im   0.032987224018995884 - 0.008642552180969383im
  0.02023853263238881 + 0.019339721058221283im  -0.011046283292246644 + 0.03450180865030758im

[:, :, 2, 1, 1, 1, 1, 2] =
 0.007165205654022351 - 0.027863426215695382im     0.04670695745102635 - 0.009490620243931979im
 -0.00648413210698329 + 0.0005972215478077247im  -0.016801419084594794 - 0.019922039849276593im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.07272906146015279 - 0.0377706091858733im  0.029438590434239353 - 0.039658743061173445im
  0.08178614939082672 - 0.0384985562392192im   0.02882162438690485 + 0.05764037091685698im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.09687440146719543 - 0.048520212222032545im   0.046281242080350865 - 0.03724128900673567im
 0.021802766167155672 + 0.045560325005282384im  0.0021537766941154444 - 0.033072905103295344im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.01669942117269553 + 0.003097762722173215im  0.00893446871338914 + 0.020909743805862135im
 0.017111008274679877 + 0.020956454170642114im   0.0049922990352863 + 0.03441933778751156im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.0030076882895731898 + 0.0076592922381340245im  -0.011627543204844906 + 0.009676085431867968im
  0.018361160785555695 - 0.016257367936448937im     0.03594463203982241 + 0.007537736215615496im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.022291436741287456 - 0.045786170869547976im  0.03589853352706063 + 0.025171023681764097im
 0.041358843313538785 - 0.030558579893993885im  0.02628143663924728 + 0.09599266030981025im

[:, :, 2, 2, 2, 1, 1, 2] =
  0.03564756622309088 - 0.00451558168791779im  -0.005102477856425182 + 0.011845012172761134im
 -0.04105647826391324 - 0.06375956535409857im    0.06432592247075299 - 0.01129007553917803im

[:, :, 1, 1, 1, 2, 1, 2] =
  -0.0007206094374456306 - 0.00312067650066022im    -0.015087835986458159 - 0.04769204889606263im
 -0.00021094510619520078 + 0.0004643260806375289im   0.039553934436136834 + 0.021750048169044446im

[:, :, 2, 1, 1, 2, 1, 2] =
  -0.003304739515087989 - 0.007747476506438138im   -0.03444319509628127 - 0.06988320074193385im
 -0.0075083470992322095 + 0.012521512293517502im  -0.011802742165042238 + 0.07414957066461961im

[:, :, 1, 2, 1, 2, 1, 2] =
 0.0010647074481896367 + 0.05503280532735706im  -0.020833605504595336 - 0.02805284723829724im
  -0.04987427910141272 - 0.03194886694656808im    0.03305320918737373 - 0.00271782711732254im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.0014953448751647072 + 0.07555081415709813im    -0.03044227248277245 - 0.04396686576788922im
    0.03242932162161838 - 0.020577533780323183im  -0.016438114881155257 + 0.03709406788935214im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.0008350060378191901 - 0.0020906998568338666im   0.018008770172000615 - 0.010121631266305633im
  -0.002376255868783171 - 0.015827449547622507im   -0.011441038692041147 - 0.03786372511996901im

[:, :, 2, 1, 2, 2, 1, 2] =
  0.002298376858497389 + 0.0032213028354363647im   0.025292370058370102 + 0.018209913919506025im
 -0.004714097330078219 - 0.004070174098012939im   -0.009598758861790775 - 0.03909027483418068im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.03579621352677141 + 0.004772862479090196im  0.013021678399882514 - 0.017358428875046045im
 -0.04945513411390949 - 0.008659556263198321im   0.02123646610076784 - 0.03402060824299675im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.011612671904454901 - 0.02115059242926843im    0.01568444640121399 + 0.009405223700936431im
 -0.025478756002113013 + 0.05106951908055636im  -0.012916593266536715 - 0.03668355142061508im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.01105810465760031 + 4.158262217804894e-16im  0.007462681157578481 + 0.013838890929106328im
 0.007462681157578484 - 0.013838890929106397im   0.026596389402437717 - 1.4657084870202824e-16im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.010218917214254487 + 0.03522125906755785im   -0.04609258978851559 + 0.036086733895513125im
 0.022821691354873004 - 0.011294618892901466im   0.03175687674497378 + 0.013206586217554904im

[:, :, 1, 2, 1, 1, 2, 2] =
   0.01021891721425473 - 0.0352212590675579im   0.02282169135487309 + 0.011294618892901679im
 -0.046092589788515256 - 0.03608673389551315im  0.03175687674497377 - 0.013206586217554765im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.14040023582387198 + 1.1464781373743864e-17im  -0.018690735673119768 + 0.06663591966187679im
 -0.01869073567311977 - 0.06663591966187649im        0.0738934950049101 - 1.0070303947850089e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.0005818224850007629 + 0.0009747847845859816im  -0.0017367203930330742 + 0.004763526363330575im
  0.016685122126122272 + 0.010686427130847193im    -0.013814101884319082 + 0.040185029916561914im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.024450463891647907 - 0.006122561086229678im  -0.009192736183323853 - 0.04079111407534038im
  0.009408667160551509 + 0.012580661110102951im  -0.012680773316284276 + 0.02743697356320176im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.005177809189671528 - 0.008149593110624135im  -0.006428432114051703 + 0.0027164276983506464im
  0.07269479642846109 - 0.06997445553812565im   -0.004650891657513074 + 0.024097275079104592im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.04067806320252799 + 0.08491242179739576im    -0.03334480242008469 - 0.04142793962531632im
 0.054872059538595815 - 0.033775356995497365im  -0.008227623066694018 + 0.03333844196932289im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.0005818224850009611 - 0.0009747847845861623im   0.016685122126122543 - 0.010686427130847257im
 -0.001736720393032883 - 0.004763526363330434im   -0.013814101884319606 - 0.040185029916561824im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.005177809189671135 + 0.008149593110624763im   0.07269479642846123 + 0.06997445553812572im
 -0.00642843211405195 - 0.002716427698350491im  -0.00465089165751269 - 0.024097275079104835im

[:, :, 1, 2, 1, 2, 2, 2] =
  -0.02445046389164755 + 0.006122561086229147im   0.009408667160551462 - 0.012580661110102975im
 -0.009192736183323929 + 0.04079111407534033im   -0.012680773316284222 - 0.027436973563201794im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.040678063202528016 - 0.08491242179739586im     0.05487205953859585 + 0.03377535699549721im
 -0.033344802420084606 + 0.041427939625316386im  -0.008227623066694072 - 0.03333844196932278im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.003001354625098819 + 3.959436160419913e-16im  0.013958866244051226 - 0.005816417179248351im
  0.01395886624405134 + 0.005816417179248618im    0.10225901673631266 - 4.901724163160376e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.006576395633170055 + 0.003414862968420052im   -0.059110345215772575 + 0.03211956129061327im
  0.008020356596187078 + 0.0009114681132970788im     0.0558684193172312 - 0.0005274803168219522im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.0065763956331698886 - 0.003414862968420049im  0.008020356596186934 - 0.0009114681132969592im
   -0.05911034521577257 - 0.032119561290613205im  0.055868419317231216 + 0.0005274803168222188im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.06614111136746173 - 1.140398723495827e-16im  -0.037742732884116705 + 0.02790213753158307im
 -0.03774273288411667 - 0.027902137531582903im     0.03699262488796015 + 7.48296991251983e-17im
get_trace(ρ) = 0.9999999999999979 + 2.4837932252883112e-17im
get_trace_moment(ρ, 2) = 0.5929933889979843
get_trace_moment(ρ, 3) = 0.38949008349697734 - 2.3397082882237186e-16im
purity_1 = 0.5922336736297109
purity_2 = 0.5922336736297121
trrho3_1 = 0.40028436700220144
trrho3_2 = 0.4002843670022022 - 1.182214048878194e-15im
purity = 0.5929933889979843
p2 = 0.5929933889979843
trrho3 = 0.38949008349697734 - 2.3397082882237186e-16im
p3 = 0.18621536806890351 - 4.2413988987632933e-16im
Cost function 0.806651584443574
Cost function -0.11754214138545177
Cost function -0.11754214138545171
Cost function -0.11754214138545174
Cost function -0.1175421413854518
Cost function -0.11754214138545173
Cost function -0.11754214138545176
norm(ψ_sum_approx - ψ_sum) = 1.6478959984131287e-16
 53.577624 seconds (28.03 M allocations: 1.568 GiB, 0.83% gc time, 99.41% compilation time)
Running test_trace_moments.jl
  8.899611 seconds (6.37 M allocations: 345.781 MiB, 1.76% gc time, 99.93% compilation time)
  0.000419 seconds (820 allocations: 192.258 KiB)
  1.250895 seconds (325.69 k allocations: 18.428 MiB, 99.61% compilation time)
dense_moments_4_batches = 0.9999999999999997
dense_moments_nu_batches = 0.9999999999999997
factorized_moments = 0.9999999999999991
  0.877810 seconds (345.23 k allocations: 19.550 MiB, 99.29% compilation time)
  0.001777 seconds (4.92 k allocations: 1.860 MiB)
  0.730321 seconds (422.50 k allocations: 42.758 MiB, 95.57% compilation time)
dense_moments_4_batches = 2.6484276911348754
dense_moments_nu_batches = 2.0315268537105533
factorized_moments = 2.0315268537105555
  0.358121 seconds (138.56 k allocations: 10.452 MiB, 97.75% compilation time)
  0.007225 seconds (19.52 k allocations: 8.898 MiB)
  1.153108 seconds (5.56 M allocations: 978.173 MiB, 18.72% gc time, 7.72% compilation time)
dense_moments_4_batches = 2.9989405008768077
dense_moments_nu_batches = 2.6152118879079587
factorized_moments = 2.6152118879079658
  0.364448 seconds (149.35 k allocations: 12.251 MiB, 97.49% compilation time)
  0.054988 seconds (48.62 k allocations: 24.446 MiB, 62.66% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.948669 seconds (93.73 M allocations: 16.660 GiB, 15.56% gc time, 0.55% compilation time)
dense_moments_4_batches = 0.852092646317948
dense_moments_nu_batches = -0.6026470074268467
factorized_moments = -0.6026470074268423
 30.617518 seconds (107.39 M allocations: 18.110 GiB, 9.43% gc time, 44.07% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m20.7s
     Testing RandomMeas tests passed 

Testing completed after 950.75s

PkgEval succeeded after 1133.98s