Package evaluation of RandomMeas on Julia 1.13.0-DEV.923 (d2bbd0af86*) started at 2025-07-30T23:15:38.849


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.79s


################################################################################
# Installation
#

Installing RandomMeas...
   Resolving package versions...
    Updating `~/.julia/environments/v1.13/Project.toml`
  [a9f96d1f] + RandomMeas v0.2.0
    Updating `~/.julia/environments/v1.13/Manifest.toml`
  [621f4979] + AbstractFFTs v1.5.0
  [7d9f7c33] + Accessors v0.1.42
  [79e6a3ab] + Adapt v4.3.0
  [66dad0bd] + AliasTables v1.1.3
  [dce04be8] + ArgCheck v2.5.0
  [4fba245c] + ArrayInterface v7.19.0
  [4c555306] + ArrayLayouts v1.11.2
  [198e06fe] + BangBang v0.4.4
  [9718e550] + Baselet v0.1.1
  [6e4b80f9] + BenchmarkTools v1.6.0
  [d1d4a3ce] + BitFlags v0.1.9
  [c3b6d118] + BitIntegers v0.3.5
  [8e7c35d0] + BlockArrays v1.7.0
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.2
  [da1fd8a2] + CodeTracking v2.0.0
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.18.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.18.22
  [e2d170a0] + DataValueInterfaces v1.0.0
  [244e2a9f] + DefineSingletons v0.1.2
  [8bb1440f] + DelimitedFiles v1.9.1
  [85a47980] + Dictionaries v0.4.5
  [163ba53b] + DiffResults v1.1.0
  [b552c78f] + DiffRules v1.15.1
  [ffbed154] + DocStringExtensions v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.4
  [5789e2e9] + FileIO v1.17.0
  [1a297f60] + FillArrays v1.13.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.0.1
  [d9f16b24] + Functors v0.5.2
  [46192b85] + GPUArraysCore v0.2.0
  [28b8d3ca] + GR v0.73.17
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.17
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.15
  [0d1a4710] + ITensorMPS v0.3.18
  [9136182c] + ITensors v0.9.7
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.4
  [3587e190] + InverseFunctions v0.1.17
  [92d709cd] + IrrationalConstants v0.2.4
  [28f27b66] + IsApprox v2.0.0
  [82899510] + IteratorInterfaceExtensions v1.0.0
  [1019f520] + JLFzf v0.1.11
  [692b3bcd] + JLLWrappers v1.7.1
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.4
  [0b1a1467] + KrylovKit v0.9.5
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.8
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.4.3
  [1914dd2f] + MacroTools v0.5.16
  [739be429] + MbedTLS v1.1.9
  [442fdcdd] + Measures v0.3.2
  [128add7d] + MicroCollections v0.2.0
  [e1d29d7a] + Missings v1.2.0
  [23ae76d9] + NDTensors v0.4.9
  [15e1cf62] + NPZ v0.4.3
  [77ba4419] + NaNMath v1.1.3
  [4d8831e6] + OpenSSL v1.5.0
  [77e91f04] + OptimKit v0.4.0
  [bac558e1] + OrderedCollections v1.8.1
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.17
  [aea7be01] + PrecompileTools v1.3.2
  [21216c6a] + Preferences v1.4.3
  [92933f4c] + ProgressMeter v1.10.4
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.2.0
  [c1ae055f] + RealDot v0.1.0
  [3cdcf5f2] + RecipesBase v1.3.4
  [01d81517] + RecipesPipeline v0.6.12
  [189a3867] + Reexport v1.2.2
  [42d2dcc6] + Referenceables v0.1.3
  [05181044] + RelocatableFolders v1.0.1
  [ae029012] + Requires v1.3.1
  [295af30f] + Revise v3.8.1
  [7e506255] + ScopedValues v1.4.0
  [6c6a2e73] + Scratch v1.3.0
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
  [992d4aef] + Showoff v1.0.3
  [777ac1f9] + SimpleBufferStream v1.2.0
  [699a6c99] + SimpleTraits v0.9.4
  [a2af1166] + SortingAlgorithms v1.2.1
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.14
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.29
  [3bb67fe8] + TranscodingStreams v0.11.3
  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
  [5c2747f8] + URIs v1.6.1
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  [409d34a3] + VectorInterface v0.5.0
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  [a5390f91] + ZipFile v0.10.1
  [e88e6eb3] + Zygote v0.7.10
  [700de1a5] + ZygoteRules v0.2.7
  [6e34b625] + Bzip2_jll v1.0.9+0
  [83423d85] + Cairo_jll v1.18.5+0
  [ee1fde0b] + Dbus_jll v1.16.2+0
  [2702e6a9] + EpollShim_jll v0.0.20230411+1
  [2e619515] + Expat_jll v2.6.5+0
  [b22a6f82] + FFMPEG_jll v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.16.0+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.0+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.0+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.5.2+0
  [36c8627f] + Pango_jll v1.56.3+0
⌅ [30392449] + Pixman_jll v0.44.2+0
  [c0090381] + Qt6Base_jll v6.8.2+1
  [629bc702] + Qt6Declarative_jll v6.8.2+1
  [ce943373] + Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] + Qt6Wayland_jll v6.8.2+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.24.0+0
  [ffd25f8a] + XZ_jll v5.8.1+0
  [f67eecfb] + Xorg_libICE_jll v1.1.2+0
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  [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 v8.15.0+0
  [e37daf67] + LibGit2_jll v1.9.1+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.7.15
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.1+0
  [efcefdf7] + PCRE2_jll v10.45.0+0
  [bea87d4a] + SuiteSparse_jll v7.10.1+0
  [83775a58] + Zlib_jll v1.3.1+2
  [3161d3a3] + Zstd_jll v1.5.7+1
  [8e850b90] + libblastrampoline_jll v5.13.1+0
  [8e850ede] + nghttp2_jll v1.65.0+0
  [3f19e933] + p7zip_jll v17.5.0+2
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

Installation completed after 6.24s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 156.86s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_47ioe6/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.17
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.8.1
  [2913bbd2] StatsBase v0.34.5
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_47ioe6/Manifest.toml`
  [621f4979] AbstractFFTs v1.5.0
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [dce04be8] ArgCheck v2.5.0
  [4fba245c] ArrayInterface v7.19.0
  [4c555306] ArrayLayouts v1.11.2
  [198e06fe] BangBang v0.4.4
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.6.0
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.7.0
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.25.2
  [da1fd8a2] CodeTracking v2.0.0
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.4
  [5789e2e9] FileIO v1.17.0
  [1a297f60] FillArrays v1.13.0
  [53c48c17] FixedPointNumbers v0.8.5
  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.0.1
  [d9f16b24] Functors v0.5.2
  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.17
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.17
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.15
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.4
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.4
  [28f27b66] IsApprox v2.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.4
  [0b1a1467] KrylovKit v0.9.5
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.8
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.3
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [128add7d] MicroCollections v0.2.0
  [e1d29d7a] Missings v1.2.0
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⌅ [30392449] Pixman_jll v0.44.2+0
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  [efcefdf7] PCRE2_jll v10.45.0+0
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        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading.
     Testing Running tests...
filenames = ["test_dense_shadows.jl", "test_estimators.jl", "test_factorized_shadows.jl", "test_measurement_data.jl", "test_measurement_group.jl", "test_measurement_probability.jl", "test_measurement_setting.jl", "test_shadow_analysis.jl", "test_shallow_shadows.jl", "test_tensornetworkutilities.jl", "test_trace_moments.jl"]
Running test_dense_shadows.jl
109.844015 seconds (98.63 M allocations: 5.234 GiB, 2.15% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9682393939393941
overlap = 0.03476500000000002
fidelity = 0.036638142146775
exact_fidelity = 0.0113449026273269
XEB = 0.963157036201464
self_XEB = 1.0061051647485368
101.955361 seconds (72.25 M allocations: 3.958 GiB, 2.04% gc time, 99.62% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.940739 seconds (5.36 M allocations: 300.488 MiB, 2.73% gc time, 98.77% compilation time: 6% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=652|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=652|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.7104552460255587 + 0.27606627717266913im   0.6443924447177912 + 0.061637092674904914im
 -0.5643444855819028 + 0.3171057482860943im   -0.7614022003979508 + 0.03501335782773052im, ITensor ord=2
Dim 1: (dim=2|id=601|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=601|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.35542034612508355 + 0.4831668923371094im   -0.6716681179806339 + 0.4348425818592048im
  0.7012946197214656 + 0.38524276509669986im    0.319629450594618 - 0.507553822370551im, ITensor ord=2
Dim 1: (dim=2|id=207|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=207|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.34539606650963983 + 0.3646430947967662im  0.34039751406370167 - 0.7949003101496167im
   0.3766377673739988 - 0.7783835576656501im   0.0486249575894655 - 0.4998986325673614im, ITensor ord=2
Dim 1: (dim=2|id=444|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=444|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.6185800140523807 - 0.6619848802356814im   -0.23518023825625492 + 0.35188782315965134im
 0.10373964413450068 + 0.41033263432141737im   -0.8045707879568855 + 0.41657059739272195im], Index{Int64}[(dim=2|id=652|"Qubit,Site,n=1"), (dim=2|id=601|"Qubit,Site,n=2"), (dim=2|id=207|"Qubit,Site,n=3"), (dim=2|id=444|"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
125.547183 seconds (72.39 M allocations: 3.936 GiB, 1.02% gc time, 99.82% compilation time: 5% of which was recompilation)
Running test_measurement_group.jl
We are constructing a MeasurementGroup object with measurement settings of type LocalUnitaryMeasurementSetting.
We are constructing a MeasurementGroup object with measurement settings of type Nothing.
 12.125114 seconds (4.85 M allocations: 323.495 MiB, 0.95% gc time, 97.04% compilation time)
Running test_measurement_probability.jl
  0.277296 seconds (231.03 k allocations: 12.680 MiB, 83.59% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_b6RVhb/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.027465 seconds (1.67 M allocations: 91.998 MiB, 94.05% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.011344902627326911
expect_batch = 0.013878820998685319 + 7.2019997171282645e-19im
expect_dense = 0.013878820998685315 + 1.161771714666214e-18im
expect_factorized = 0.013878820998685372 + 3.51681557579147e-18im
 19.172900 seconds (14.35 M allocations: 1.104 GiB, 1.79% gc time, 94.71% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:47
Progress: 100%|█████████████████████████████████████████| Time: 0:01:11
Cost function 0.5295367284201592
Cost function -0.7630718962558877

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.763071896255888
Cost function -0.7630718962558876

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.7630718962558878
building shallow map
inversing shallow map
initial loss 0.9987234919313968
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 210.32 s: f = 0.008552205774, ‖∇f‖ = 3.4921e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
463.264097 seconds (308.72 M allocations: 17.386 GiB, 1.47% gc time, 99.09% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=840|"Qubit,Site,n=1")
Dim 2: (dim=2|id=125|"Qubit,Site,n=2")
Dim 3: (dim=2|id=425|"Qubit,Site,n=3")
Dim 4: (dim=2|id=242|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  0.2244044000404324 + 0.2128016396112321im    0.11885147291323922 - 0.31009084307248785im
 0.11152080750025885 + 0.08120468349941083im  -0.10966106178091586 + 0.08929031512281894im

[:, :, 2, 1] =
  0.09302756350822243 - 0.26750607044945673im     0.287623776537484 - 0.23199491153341417im
 -0.08367645577966717 + 0.11044798758929622im  -0.09611109408139262 - 0.01724769258550289im

[:, :, 1, 2] =
   0.3471111163020906 - 0.44463909770080356im    0.24039279082439266 - 0.21374258709215033im
 -0.10709914061177957 + 0.005492551212371598im  -0.04347138189161785 - 0.005093910741329269im

[:, :, 2, 2] =
  -0.0092229771875484 - 0.1265114541542505im  -0.029130108132434086 - 0.21561672749207458im
 -0.01758800411917689 + 0.0681549294323521im   -0.05700345568521639 + 0.053242573102342095im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=840|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=840|"Qubit,Site,n=1")
Dim 3: (dim=2|id=125|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=125|"Qubit,Site,n=2")
Dim 5: (dim=2|id=425|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=425|"Qubit,Site,n=3")
Dim 7: (dim=2|id=242|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=242|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.07098265584447372 - 1.2221724736691526e-16im  0.02405688659193469 + 0.00829333976162295im
 0.024056886591935323 - 0.008293339761623265im    0.02586029843062221 + 2.2296951744700427e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.022101835336957778 - 0.0642070820660968im    -0.018244829682226692 - 0.028041800018796737im
 -0.012309088093606679 + 0.025716687807541282im   0.013176393196378497 + 0.01038061213509568im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.022101835336957993 + 0.06420708206609713im   -0.01230908809360724 - 0.025716687807540994im
 -0.018244829682226647 + 0.028041800018796345im   0.01317639319637849 - 0.010380612135095542im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.08568890516689777 + 2.1733852744042253e-16im  -0.04231328180889582 + 0.018028247467009203im
 -0.042313281808895584 - 0.018028247467009127im     0.03677468028850678 - 5.925526200408719e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
  -0.0307632970859215 - 0.05519455844381013im  -0.0010783620592666133 - 0.03319422797796483im
 0.011421495698246195 + 0.03495521772667387im   -0.017088624662953432 + 0.015219641924805108im

[:, :, 2, 1, 2, 1, 1, 1] =
  0.010886436065743873 - 0.08609848180257726im      0.01639516453209448 - 0.0247847152195171im
 -0.027592862526519987 + 0.018875291279512027im  -0.0028011851720934886 - 0.01681684698784432im

[:, :, 1, 2, 2, 1, 1, 1] =
    0.0587503428110802 + 0.0018814175389992983im  -0.013156667817704705 + 0.006932884523518348im
 -0.017219665876082802 - 0.006505302114250477im   -0.009458275756525419 - 0.004592368955093278im

[:, :, 2, 2, 2, 1, 1, 1] =
   0.07091399329490589 + 0.03383412189984794im    -0.029284249652269115 + 0.014293262665748735im
 -0.013614056265281494 - 0.0070985588188232675im    0.01856383692426947 - 0.019206473661466536im

[:, :, 1, 1, 1, 2, 1, 1] =
  -0.030763297085921907 + 0.05519455844381004im    0.01142149569824551 - 0.03495521772667362im
 -0.0010783620592663566 + 0.03319422797796395im  -0.017088624662953227 - 0.015219641924805051im

[:, :, 2, 1, 1, 2, 1, 1] =
  0.058750342811079416 - 0.0018814175389993421im   -0.01721966587608355 + 0.006505302114250347im
 -0.013156667817704814 - 0.0069328845235186315im  -0.009458275756525606 + 0.004592368955093326im

[:, :, 1, 2, 1, 2, 1, 1] =
 0.010886436065744104 + 0.08609848180257736im    -0.027592862526520066 - 0.018875291279511902im
 0.016395164532094123 + 0.024784715219516803im  -0.0028011851720934414 + 0.016816846987844268im

[:, :, 2, 2, 1, 2, 1, 1] =
  0.07091399329490672 - 0.03383412189984533im   -0.013614056265280476 + 0.0070985588188238425im
 -0.02928424965226963 - 0.014293262665747306im    0.01856383692426975 + 0.019206473661467088im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.06384287661038458 - 7.01310958982401e-17im  -0.03637985285662181 + 0.0168983700251321im
 -0.03637985285662148 - 0.01689837002513253im   0.036313548607856835 - 5.061888296327246e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.060655824751355655 + 0.048042599749896185im   -0.04293483600404811 - 0.02268577781945527im
  0.01180827367113344 - 0.027399645110650146im  -0.006406751769064508 + 0.03571291810841061im

[:, :, 1, 2, 2, 2, 1, 1] =
  0.06065582475135503 - 0.0480425997498964im     0.011808273671133133 + 0.027399645110650562im
 -0.04293483600404833 + 0.02268577781945507im  -0.0064067517690646275 - 0.035712918108410534im

[:, :, 2, 2, 2, 2, 1, 1] =
   0.10710396796699195 - 4.84785518948362e-16im  -0.029472384231350426 + 0.03536797010852765im
 -0.029472384231350374 - 0.03536797010852791im    0.044199126108824496 - 3.752856641747118e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
  -0.01043805172305906 - 0.12595573196206178im     0.004916692512434416 - 0.04697499265466451im
 -0.024594663541230376 + 0.021042479768543204im  -0.0008622313525719315 - 0.008755317572777109im

[:, :, 2, 1, 1, 1, 2, 1] =
  0.008358361924804651 - 0.06043316095222573im    -0.006587402100203441 - 0.04000456409666199im
 0.0023136490138786422 - 0.010268451070205992im  0.00021363841629843706 + 0.03493401992923984im

[:, :, 1, 2, 1, 1, 2, 1] =
  0.12469046679299331 + 0.03173894390559236im   -0.05200595114246146 + 0.023054557373354132im
 -0.01933238196717836 - 0.012410841628076418im  0.021552484307230238 - 0.01240318553929959im

[:, :, 2, 2, 1, 1, 2, 1] =
   0.07456761178179112 + 0.04509392926730667im   -0.04718440823457236 - 0.01441954811630897im
 0.0020692703609520927 - 0.036703740092920704im  0.000797508616991327 + 0.04765147169606332im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.019526994617396938 - 0.014040145369736762im    -0.01387323044286989 - 0.014651681738773455im
  0.013134496216238079 + 0.009362359134118026im  -0.0010543976177823057 + 0.018101284501264355im

[:, :, 2, 1, 2, 1, 2, 1] =
 -0.039707004146381786 - 0.029031382214436328im  -0.010928362373697022 - 0.019177993329310986im
  0.007070894685893907 + 0.015863372248900526im  -0.011485563009286093 + 0.017666765134839113im

[:, :, 1, 2, 2, 1, 2, 1] =
  0.030164539440905566 - 0.006955162104459266im   -0.013928348629028095 + 0.0019027885272084946im
 -0.010706171222857183 - 0.00661759528844819im   -0.0017674111561908278 + 0.010721853916345697im

[:, :, 2, 2, 2, 1, 2, 1] =
   0.04060370524883293 - 0.021942207949345243im  -0.005553091551360492 + 0.013865418582517507im
 -0.005965009158381359 - 0.013705504092821171im  -0.007979680920997115 + 0.010857373427993398im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.10337611184728232 + 0.04186499885745045im    -0.05776640075488983 - 0.011271485475657834im
 0.004486664892797732 - 0.024033803249959552im  -0.005193120734481583 + 0.02740797444629365im

[:, :, 2, 1, 1, 2, 2, 1] =
   0.05385657166794221 + 0.018413639370397583im  -0.014295642945297128 + 0.008834801264616672im
 -0.018150272716776026 + 0.011703516540813488im  0.0017456662557086087 - 0.04103273246082998im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.14961493020384062 - 0.03129491246432299im  -0.029047965035279524 + 0.042654911341934276im
  -0.030153534158157 - 0.03051538000820906im   0.035892919061360745 + 0.0034143227910778196im

[:, :, 2, 2, 1, 2, 2, 1] =
  0.06815380120880309 + 0.0007041167042316117im  -0.0034580146964404384 - 0.009136753673906038im
 0.019647371742698462 + 0.0075921085215242354im    -0.05011031233639584 + 0.021215180894570505im

[:, :, 1, 1, 2, 2, 2, 1] =
   0.02279354305315442 - 0.016206882488886767im  -0.0020143704756308035 + 0.016114527843199597im
 -0.022453616954080137 + 0.005603765413381454im    0.012803193727024098 - 0.017927840114425195im

[:, :, 2, 1, 2, 2, 2, 1] =
   0.04269211499457469 - 0.019669033353114818im  -0.020387678594850446 + 0.019725655696564582im
 -0.024944212574351643 - 0.00721996918901526im     0.02247303551799129 - 0.011023034073654476im

[:, :, 1, 2, 2, 2, 2, 1] =
   0.011208548004852045 - 0.025382127722636285im  0.00829456485295842 - 0.003955404086210371im
 -0.0075400526057963985 + 0.020308075803120093im  -0.0209198593299768 - 0.005394988188593493im

[:, :, 2, 2, 2, 2, 2, 1] =
  0.028110511200777254 - 0.05319707044887726im    0.012876594012344476 + 0.018354763418179224im
 -0.017919556013176963 + 0.015066431910912954im  -0.018514098950778494 - 0.016415283623785852im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.010438051723059664 + 0.12595573196206258im    -0.024594663541230456 - 0.021042479768543114im
   0.00491669251243434 + 0.046974992654664996im  -0.0008622313525719982 + 0.008755317572777388im

[:, :, 2, 1, 1, 1, 1, 2] =
  0.12469046679299339 - 0.03173894390559348im  -0.019332381967179034 + 0.012410841628076106im
 -0.05200595114246162 - 0.02305455737335452im    0.02155248430723008 + 0.012403185539299226im

[:, :, 1, 2, 1, 1, 1, 2] =
  0.008358361924804492 + 0.06043316095222555im  0.0023136490138783335 + 0.010268451070206356im
 -0.006587402100203736 + 0.04000456409666191im  0.0002136384162983191 - 0.034934019929239835im

[:, :, 2, 2, 1, 1, 1, 2] =
  0.07456761178179272 - 0.04509392926730459im   0.0020692703609531127 + 0.03670374009292129im
 -0.04718440823457258 + 0.014419548116310195im  0.0007975086169914799 - 0.04765147169606262im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.10337611184728258 - 0.04186499885745137im     0.00448666489279748 + 0.024033803249959136im
 -0.05776640075488974 + 0.011271485475657516im  -0.005193120734481738 - 0.027407974446294024im

[:, :, 2, 1, 2, 1, 1, 2] =
    0.1496149302038423 + 0.031294912464323824im  -0.030153534158156393 + 0.03051538000820933im
 -0.029047965035279413 - 0.042654911341933735im   0.035892919061361266 - 0.0034143227910777294im

[:, :, 1, 2, 2, 1, 1, 2] =
  0.05385657166794207 - 0.01841363937039804im   -0.018150272716776307 - 0.011703516540813683im
 -0.01429564294529701 - 0.008834801264617076im   0.001745666255708575 + 0.04103273246083008im

[:, :, 2, 2, 2, 1, 1, 2] =
    0.0681538012088015 - 0.0007041167042332631im   0.019647371742697373 - 0.007592108521523827im
 -0.003458014696440333 + 0.009136753673904516im   -0.050110312336396484 - 0.021215180894570848im

[:, :, 1, 1, 1, 2, 1, 2] =
   -0.0195269946173965 + 0.014040145369736133im   0.013134496216237926 - 0.009362359134118082im
 -0.013873230442869398 + 0.014651681738773457im  -0.001054397617782019 - 0.018101284501264372im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.030164539440905747 + 0.006955162104459051im   -0.01070617122285742 + 0.006617595288448058im
 -0.013928348629027936 - 0.0019027885272085302im  -0.00176741115619088 - 0.010721853916345676im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.03970700414638109 + 0.02903138221443533im    0.007070894685893961 - 0.015863372248900776im
 -0.01092836237369663 + 0.019177993329310816im  -0.011485563009285733 - 0.01766676513483944im

[:, :, 2, 2, 1, 2, 1, 2] =
   0.04060370524883251 + 0.0219422079493458im    -0.005965009158381602 + 0.01370550409282173im
 -0.005553091551360936 - 0.013865418582517691im  -0.007979680920997222 - 0.010857373427993096im

[:, :, 1, 1, 2, 2, 1, 2] =
    0.0227935430531549 + 0.016206882488886458im  -0.02245361695408025 - 0.005603765413381884im
 -0.002014370475630415 - 0.016114527843199472im  0.012803193727024166 + 0.017927840114425227im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.011208548004850587 + 0.025382127722634578im  -0.007540052605797396 - 0.020308075803120267im
 0.008294564852958314 + 0.003955404086209372im   -0.02091985932997734 + 0.005394988188592931im

[:, :, 1, 2, 2, 2, 1, 2] =
  0.042692114994573996 + 0.01966903335311633im  -0.024944212574351622 + 0.007219969189016235im
 -0.020387678594851303 - 0.01972565569656439im   0.022473035517991135 + 0.0110230340736551im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.028110511200777635 + 0.05319707044887686im    -0.01791955601317677 - 0.015066431910913176im
 0.012876594012344696 - 0.018354763418179407im  -0.018514098950778508 + 0.016415283623785814im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.22794287009079972 - 4.744131382110416e-16im  -0.03505299537628486 + 0.04004796105058986im
 -0.03505299537628482 - 0.04004796105059039im     0.03077017017508102 - 9.418926888131248e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.11592952379353014 + 0.02836701559092103im   -0.014652598459868413 - 0.0065153375719273505im
 0.01155253952312629 - 0.008978922088590267im   -0.03455150099451273 + 0.02412867912114209im

[:, :, 1, 2, 1, 1, 2, 2] =
   0.11592952379352969 - 0.028367015590920072im  0.011552539523126102 + 0.008978922088590859im
 -0.014652598459868741 + 0.006515337571927413im  -0.03455150099451277 - 0.024128679121141784im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.0937696888799143 - 1.9123457643108996e-15im  -0.035957744401963886 + 0.03896496148458644im
 -0.03595774440196235 - 0.03896496148458818im        0.0886721751841891 - 4.597086075762167e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
   0.0325080526240496 - 0.03136781973966796im   0.0032433507190482904 - 0.0007791965415182432im
 -0.01934857976886867 + 0.016110603373941997im  -0.014806512597707959 - 0.0026205155982995283im

[:, :, 2, 1, 2, 1, 2, 2] =
  0.05853808752281435 - 0.06458929472258647im   0.008293516253568146 + 0.018370373237282054im
 -0.02678967898436447 + 0.00372095214545966im  -0.013797713915598978 - 0.010141927302731425im

[:, :, 1, 2, 2, 1, 2, 2] =
   0.02773551445978891 - 0.021678011693006826im  -0.015010881794111496 + 0.01779455123768021im
 -0.018483660709402282 - 0.00630641320259089im    0.030062572910563985 + 0.010842956830573977im

[:, :, 2, 2, 2, 1, 2, 2] =
  0.026646768648509473 - 0.03365380709369334im   -0.0077131342885732096 - 0.004226447744731391im
 -0.014870050783305225 - 0.018131828776686794im    0.025333318842563044 + 0.027738800162694602im

[:, :, 1, 1, 1, 2, 2, 2] =
  0.032508052624050016 + 0.03136781973966748im    -0.019348579768868935 - 0.016110603373942545im
 0.0032433507190488637 + 0.0007791965415179188im  -0.014806512597707874 + 0.0026205155982993804im

[:, :, 2, 1, 1, 2, 2, 2] =
  0.027735514459788873 + 0.02167801169300815im  -0.018483660709401835 + 0.006306413202591259im
 -0.015010881794111725 - 0.01779455123767972im   0.030062572910563967 - 0.010842956830573654im

[:, :, 1, 2, 1, 2, 2, 2] =
 0.05853808752281527 + 0.06458929472258658im   -0.026789678984364417 - 0.0037209521454597966im
 0.00829351625356833 - 0.018370373237282106im  -0.013797713915598734 + 0.010141927302731436im

[:, :, 2, 2, 1, 2, 2, 2] =
   0.02664676864850976 + 0.03365380709369429im   -0.014870050783304911 + 0.018131828776686842im
 -0.007713134288573313 + 0.004226447744731928im    0.02533331884256314 - 0.027738800162694303im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.016338161019399305 + 5.281361050334547e-16im  -0.00921119794383857 + 0.009102196402646458im
 -0.009211197943838905 - 0.009102196402646132im   0.015545655439319888 + 1.9351047341709853e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
   0.019261456044426042 + 0.002237682833297482im  -0.014709582333832098 + 0.0017947159152858917im
 -0.0039037000012385626 - 0.014528300736541192im    0.01574491876275937 + 0.00860595509461224im

[:, :, 1, 2, 2, 2, 2, 2] =
  0.019261456044423267 - 0.002237682833298766im   -0.003903700001240236 + 0.014528300736541617im
 -0.014709582333832688 - 0.0017947159152873382im   0.015744918762758495 - 0.008605955094612634im

[:, :, 2, 2, 2, 2, 2, 2] =
    0.0354494006812866 - 7.334375569909716e-17im  -0.013042070962495737 + 0.009950363586904602im
 -0.013042070962495782 - 0.009950363586904657im    0.020745819505453237 - 5.424942836412109e-17im
get_trace(ρ) = 1.0000000000000016 - 2.730831913303059e-15im
get_trace_moment(ρ, 2) = 0.5838790639667285
get_trace_moment(ρ, 3) = 0.37581859595009187 + 5.898059818321144e-17im
purity_1 = 0.6186167097948466
purity_2 = 0.6186167097948482
trrho3_1 = 0.4293777959005658
trrho3_2 = 0.42937779590056774 + 8.58393353142875e-16im
purity = 0.5838790639667285
p2 = 0.5838790639667285
trrho3 = 0.37581859595009187 + 5.898059818321144e-17im
p3 = 0.1745730246879557 - 5.556383668057704e-16im
Cost function 1.1474707145662588
Cost function -0.07063774352347252
Cost function -0.0706377435234725
Cost function -0.07063774352347252
Cost function -0.0706377435234725
Cost function -0.07063774352347253
Cost function -0.07063774352347253
norm(ψ_sum_approx - ψ_sum) = 2.772791467691829e-16
 58.008550 seconds (28.04 M allocations: 1.573 GiB, 0.98% gc time, 99.39% compilation time)
Running test_trace_moments.jl
  8.810695 seconds (6.31 M allocations: 342.692 MiB, 1.31% gc time, 99.92% compilation time)
  0.000374 seconds (820 allocations: 192.258 KiB)
  1.031128 seconds (326.24 k allocations: 18.469 MiB, 99.33% compilation time)
dense_moments_4_batches = 0.9999999999999998
dense_moments_nu_batches = 0.9999999999999998
factorized_moments = 1.0000000000000004
  0.643406 seconds (339.59 k allocations: 19.262 MiB, 99.12% compilation time)
  0.001492 seconds (4.92 k allocations: 1.860 MiB)
  0.609825 seconds (422.49 k allocations: 42.738 MiB, 14.14% gc time, 81.40% compilation time)
dense_moments_4_batches = 4.266896940792287
dense_moments_nu_batches = 5.673897687995347
factorized_moments = 5.673897687995342
  0.264951 seconds (132.33 k allocations: 10.131 MiB, 97.58% compilation time)
  0.005770 seconds (19.52 k allocations: 8.898 MiB)
  0.759265 seconds (5.56 M allocations: 978.173 MiB, 17.35% gc time, 8.93% compilation time)
dense_moments_4_batches = 3.2104139527679423
dense_moments_nu_batches = 3.0823759353039373
factorized_moments = 3.082375935303952
  0.291301 seconds (142.42 k allocations: 11.907 MiB, 97.57% compilation time)
  0.035889 seconds (48.62 k allocations: 24.446 MiB, 61.35% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 13.885582 seconds (93.73 M allocations: 16.660 GiB, 15.46% gc time, 0.50% compilation time)
dense_moments_4_batches = 4.792868551721491
dense_moments_nu_batches = -4.708928202913784
factorized_moments = -4.708928202913774
 27.405818 seconds (107.31 M allocations: 18.106 GiB, 9.13% gc time, 46.09% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m26.8s
     Testing RandomMeas tests passed 

Testing completed after 954.09s

PkgEval succeeded after 1143.97s