Package evaluation of RandomMeas on Julia 1.13.0-DEV.971 (04e26c5eae*) started at 2025-08-11T05:58:56.581


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.88s


################################################################################
# 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 v1.26.0
  [da1fd8a2] + CodeTracking v2.0.0
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.18.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.19.0
  [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 v0.3.19
  [9136182c] + ITensors v0.9.9
  [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 v0.10.5
  [0b1a1467] + KrylovKit v0.10.0
  [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 v1.40.18
  [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 v3.9.0
  [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 v0.9.5
  [a2af1166] + SortingAlgorithms v1.2.2
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.14
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.6
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
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  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
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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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  [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+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 7.08s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 223.8s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_9eHx2Y/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.19
  [9136182c] ITensors v0.9.9
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.18
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.9.0
  [2913bbd2] StatsBase v0.34.6
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_9eHx2Y/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 v1.26.0
  [da1fd8a2] CodeTracking v2.0.0
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.19.0
  [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 v0.3.19
  [9136182c] ITensors v0.9.9
  [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 v0.10.5
  [0b1a1467] KrylovKit v0.10.0
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.8
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.3
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [128add7d] MicroCollections v0.2.0
  [e1d29d7a] Missings v1.2.0
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⌅ [30392449] Pixman_jll v0.44.2+0
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  [a44049a8] Vulkan_Loader_jll v1.3.243+0
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  [458c3c95] OpenSSL_jll v3.5.1+0
  [efcefdf7] PCRE2_jll v10.45.0+0
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  [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
108.058648 seconds (97.56 M allocations: 5.176 GiB, 2.51% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.8831363636363635
overlap = 0.5601354999999999
fidelity = 0.5647390802487071
exact_fidelity = 0.6155944606270619
XEB = 0.605209364442807
self_XEB = 0.6130680112176337
 98.137060 seconds (72.70 M allocations: 3.981 GiB, 2.12% gc time, 99.67% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.129639 seconds (5.92 M allocations: 331.273 MiB, 1.39% gc time, 98.89% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=535|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=535|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.716532081765562 + 0.14514544195369872im   0.07949610816442179 + 0.6776392441908053im
 0.6644882702943912 + 0.15482220487366627im  -0.06405660515744516 - 0.7282734203957519im, ITensor ord=2
Dim 1: (dim=2|id=722|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=722|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.08670162231967926 - 0.3387181502678206im  -0.6065936373407449 - 0.714000702033273im
 0.025488316212556456 - 0.9365378738219456im  0.14462380959626375 + 0.3183254786088947im, ITensor ord=2
Dim 1: (dim=2|id=994|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=994|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.0030108008838560796 + 0.3999037212111147im     -0.50621373631568 - 0.7640782695541475im
     0.9031293660430103 - 0.15628594636208118im  0.28876729548199154 - 0.2766685746890585im, ITensor ord=2
Dim 1: (dim=2|id=84|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=84|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.6005025785974405 + 0.1075053279895975im    0.7569055140622598 + 0.23437854068540476im
 0.7275101007231748 + 0.31395590597634887im  -0.5261871468211252 - 0.308687267260199im], Index{Int64}[(dim=2|id=535|"Qubit,Site,n=1"), (dim=2|id=722|"Qubit,Site,n=2"), (dim=2|id=994|"Qubit,Site,n=3"), (dim=2|id=84|"Qubit,Site,n=4")])
┌ Warning: Measurement setting not found in the file and not provided; defaulting to nothing.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/MeasurementData.jl:248
123.868631 seconds (72.37 M allocations: 3.935 GiB, 1.03% gc time, 99.70% 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.
 11.277721 seconds (4.46 M allocations: 303.078 MiB, 0.98% gc time, 96.96% compilation time)
Running test_measurement_probability.jl
  0.252585 seconds (231.04 k allocations: 12.680 MiB, 82.11% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_xY3Vei/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.769837 seconds (1.67 M allocations: 91.923 MiB, 2.48% gc time, 94.10% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.6155944606270618
expect_batch = 0.6278520146462375 + 1.6255388920391641e-19im
expect_dense = 0.6278520146462375 + 4.41906047350452e-18im
expect_factorized = 0.6278520146462374 - 2.519817190984949e-18im
 18.143787 seconds (14.35 M allocations: 1.104 GiB, 1.47% gc time, 95.26% 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 1.659282564747445
Cost function -0.626777465300896

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6267774653008963
Cost function -0.6267774653008964

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.6267774653008963
building shallow map
inversing shallow map
initial loss 0.9990312523002934
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 202.39 s: f = 0.000320572152, ‖∇f‖ = 3.4538e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
454.807072 seconds (306.35 M allocations: 17.199 GiB, 1.49% gc time, 99.12% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=278|"Qubit,Site,n=1")
Dim 2: (dim=2|id=808|"Qubit,Site,n=2")
Dim 3: (dim=2|id=884|"Qubit,Site,n=3")
Dim 4: (dim=2|id=96|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.07917319827671647 - 0.06665093037846925im  -0.07789710747472126 - 0.23704856882687164im
     0.23719675841201 + 0.12085666318488786im  -0.08612582067946191 + 0.16266187695836523im

[:, :, 2, 1] =
 0.13143419401528128 + 0.061181835510254745im   0.31972436331519044 - 0.08077119935479168im
 -0.1650724391367052 + 0.05809986041178872im   -0.11427328953309125 - 0.18817183202870316im

[:, :, 1, 2] =
 0.045131611165370726 + 0.19946003660994852im  -0.2350656998069985 - 0.01236569149342516im
  -0.4060620357602822 + 0.21622946741256832im   -0.366115581474601 + 0.08733814362887476im

[:, :, 2, 2] =
 -0.07748030729668162 - 0.12681620793990103im  -0.25115777091014213 - 0.018908040189974083im
  0.17690925721352832 - 0.12120961370711969im    0.1311016548428355 + 0.11910948686176194im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=278|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=278|"Qubit,Site,n=1")
Dim 3: (dim=2|id=808|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=808|"Qubit,Site,n=2")
Dim 5: (dim=2|id=884|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=884|"Qubit,Site,n=3")
Dim 7: (dim=2|id=96|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=96|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.020159430811986026 - 1.4109553774634266e-18im  -0.0036733736393744524 - 0.00956042317469793im
 -0.003673373639374569 + 0.00956042317469804im        0.06977074020839225 + 3.605697742352456e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
  0.01512667363296197 + 0.008279827530661832im  -0.033788230676722035 - 0.03412635428489076im
 0.014663671407694631 - 0.019519950703412142im   0.017661683991392424 + 0.019385457049714262im

[:, :, 1, 2, 1, 1, 1, 1] =
  0.01512667363296181 - 0.0082798275306621im  0.014663671407695006 + 0.019519950703412052im
 -0.03378823067672141 + 0.0341263542848905im  0.017661683991393087 - 0.019385457049713565im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.043705127058308736 - 1.6678902297783432e-16im  -0.022013444386697487 + 0.021343852850529123im
 -0.02201344438669716 - 0.02134385285052902im       0.05116705661446485 + 3.5450592208864065e-16im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.013769767534438012 + 0.02032224648168332im    0.029874475433056786 + 0.021509483416954227im
 -0.011659849748869558 - 0.023259510525213054im  -0.049150262723669395 + 0.01630817450530091im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.005918943975466427 + 0.007467598481211826im    0.06507639397806844 - 0.06283963863533482im
 0.027668157744366872 + 0.004785906137821784im  -0.020036334007118958 - 0.027096006201739218im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.018945869168545657 + 0.01777514879814565im   -0.014976929418909183 + 0.0037558410524069783im
 0.0009099036483030284 - 0.03206400692318425im  -0.0020953993087126756 - 0.011010970831588548im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.0032715308019612495 + 0.05961281108844616im   0.005067471973861933 - 0.03781916481824899im
    0.03723723597689423 - 0.007481948045623579im  0.002955896355625812 + 0.030358651862347867im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.013769767534437831 - 0.020322246481682963im  -0.011659849748869484 + 0.023259510525212877im
  0.029874475433056717 - 0.02150948341695417im   -0.049150262723669104 - 0.016308174505301098im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.018945869168546008 - 0.017775148798145655im   0.0009099036483032967 + 0.032064006923184334im
  -0.01497692941890933 - 0.003755841052406594im  -0.0020953993087122415 + 0.011010970831588428im

[:, :, 1, 2, 1, 2, 1, 1] =
 0.005918943975466102 - 0.007467598481211764im   0.027668157744366987 - 0.004785906137822064im
  0.06507639397806825 + 0.06283963863533473im   -0.020036334007118732 + 0.027096006201738965im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.003271530801961668 - 0.059612811088446585im   0.037237235976894774 + 0.007481948045623336im
   0.00506747197386139 + 0.03781916481824889im   0.0029558963556258087 - 0.030358651862348207im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.040164758671660215 - 6.349830271106571e-17im  -0.02464030188073542 - 0.04108152695459297im
 -0.024640301880735238 + 0.04108152695459337im    0.059326526398497365 + 7.375842914630683e-18im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.003699802332780725 - 0.045293484675780364im  -0.057008894916761504 + 0.032737249999944436im
 -0.02260532572388532 - 0.02976267292179754im   -0.012091109431536757 + 0.039070333504102724im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.003699802332781032 + 0.04529348467578021im   -0.02260532572388554 + 0.02976267292179776im
 -0.05700889491676158 - 0.03273724999994387im  -0.012091109431536962 - 0.039070333504102564im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.11853738182917417 - 1.1585054119389286e-16im   0.0050606268037237 + 0.037237952658053144im
 0.005060626803723639 - 0.03723795265805278im     0.04638497180755423 - 7.56754572280532e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.012336705340913513 + 0.007872382345473144im  0.030633157915844283 + 0.04959152816760951im
  0.012067550536627869 - 0.02200807224282609im   -0.04588684117583188 + 0.0810440852848048im

[:, :, 2, 1, 1, 1, 2, 1] =
  0.01221836552302653 - 0.02329999757978333im   -0.04706818891796701 + 0.0028655174678171857im
 0.023099825336613887 - 0.04744552888102623im  -0.055650375170202965 + 0.012191291576824397im

[:, :, 1, 2, 1, 1, 2, 1] =
  -0.03717287861639456 - 0.0037707435770242496im  0.010641764224928896 + 0.0057860344770095246im
 -0.014593087637989756 - 0.07937996007314521im     0.04404994940942311 + 0.04533584333007626im

[:, :, 2, 2, 1, 1, 2, 1] =
  0.01615470837427779 - 0.03820787164828519im  0.017519326278761512 + 0.008829321575461124im
 0.007801213689536992 - 0.06434405385717029im  0.054596337646014334 + 0.0047132591376570845im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.02037258309856585 - 0.0003599184708441318im  -0.013013114489110503 - 0.02317140215063855im
 0.006780052206964563 + 0.016914327646420493im     0.03295946884252843 - 0.03725461410475642im

[:, :, 2, 1, 2, 1, 2, 1] =
  0.009543600335592055 - 0.009715688916225172im  -0.049185031341333875 + 0.021403341087999156im
 -0.012556782748057552 - 0.006352656485023862im   0.029755941458634985 + 0.00157325917131685im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.025431786593284454 - 0.004885236538249359im   0.006192779509314683 + 0.01646460789890531im
 0.010062660941095786 + 0.03698216663390771im   -0.010374260113956358 - 0.004554573048669765im

[:, :, 2, 2, 2, 1, 2, 1] =
   0.01684427901071116 - 0.041171465658722345im  0.005241333107071578 + 0.02836130206228198im
 -0.026351320817401228 + 0.01540106274983577im   0.009032028992752595 - 0.030073003907252985im

[:, :, 1, 1, 1, 2, 2, 1] =
   0.03620225294147847 + 0.012329713215471556im  -0.012736856518717664 - 0.04944157427800595im
 -0.015612535320716044 + 0.035210313863119506im    0.04752051523763432 - 0.021561026178545318im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.03983458028799377 + 0.014587454637509281im  0.041325520393651435 + 0.028245121757823156im
 -0.06735713528036205 + 0.02147619871924087im    0.06088835434195365 + 0.04798701250521424im

[:, :, 1, 2, 1, 2, 2, 1] =
 -0.017850763854740898 + 0.0730904464201394im    -0.03082172014679333 + 0.0066566364243170395im
  -0.11205425193038877 + 0.03910575172428936im  0.0034346330357118184 - 0.06194575349778063im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.041824189227777746 - 0.037792822129636736im  0.019377528881454865 - 0.04291684230128394im
    -0.052034427337238 - 0.03472322620431847im   0.025235728836707827 - 0.08035158488722814im

[:, :, 1, 1, 2, 2, 2, 1] =
 -0.02071300536992435 - 0.021376797925047146im  -0.007052217307981036 + 0.033099916901990385im
 0.010648757331334694 - 0.03446087648162435im    -0.04288629144397221 + 0.014683811760580171im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.02108436287030042 + 0.016043828610435167im    0.03483787467636009 + 0.005911844694142725im
 0.008938916888064665 + 0.006657036260922303im  -0.004967175353733662 - 0.0104484495533297im

[:, :, 1, 2, 2, 2, 2, 1] =
 0.009330217950907473 - 0.029113430179674903im    0.03307139588133665 - 0.003553375023079085im
 0.061768094059528184 - 0.0037820960853126593im  0.012604591624682061 + 0.0351936002794197im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.06429199209092579 - 0.021886916709374944im  0.01734360557932324 - 0.03075304278185292im
  0.02855167137614347 + 0.025112041755279996im  -0.0257679184508774 + 0.0019286918410597227im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.012336705340913459 - 0.007872382345473126im  0.012067550536627837 + 0.022008072242826075im
  0.030633157915844124 - 0.04959152816760949im   -0.04588684117583215 - 0.0810440852848045im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.037172878616394324 + 0.0037707435770244734im  -0.014593087637989999 + 0.079379960073145im
  0.010641764224928837 - 0.0057860344770095905im   0.044049949409422785 - 0.045335843330076245im

[:, :, 1, 2, 1, 1, 1, 2] =
 0.012218365523026504 + 0.023299997579783457im  0.023099825336613762 + 0.04744552888102635im
 -0.04706818891796695 - 0.002865517467816915im  -0.05565037517020298 - 0.012191291576823998im

[:, :, 2, 2, 1, 1, 1, 2] =
 0.016154708374277855 + 0.03820787164828564im  0.007801213689536449 + 0.06434405385717024im
 0.017519326278761564 - 0.00882932157546092im  0.054596337646014195 - 0.004713259137656827im

[:, :, 1, 1, 2, 1, 1, 2] =
   0.03620225294147845 - 0.012329713215471466im  -0.01561253532071584 - 0.03521031386311915im
 -0.012736856518717397 + 0.049441574278005884im   0.04752051523763416 + 0.021561026178545273im

[:, :, 2, 1, 2, 1, 1, 2] =
  -0.01785076385474104 - 0.07309044642013937im     -0.11205425193038851 - 0.03910575172428942im
 -0.030821720146793144 - 0.0066566364243172745im  0.0034346330357118496 + 0.06194575349778071im

[:, :, 1, 2, 2, 1, 1, 2] =
 -0.039834580287994054 - 0.014587454637509122im  -0.06735713528036202 - 0.02147619871924092im
   0.04132552039365131 - 0.028245121757823226im  0.060888354341953534 - 0.04798701250521441im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.04182418922777806 + 0.037792822129636465im  -0.05203442733723786 + 0.034723226204318024im
  0.01937752888145471 + 0.042916842301283654im   0.02523572883670784 + 0.08035158488722792im

[:, :, 1, 1, 1, 2, 1, 2] =
   0.02037258309856623 + 0.0003599184708442029im  0.006780052206964767 - 0.016914327646420375im
 -0.013013114489110389 + 0.023171402150638443im    0.03295946884252846 + 0.03725461410475639im

[:, :, 2, 1, 1, 2, 1, 2] =
 0.025431786593284066 + 0.004885236538249304im   0.010062660941095848 - 0.036982166633907465im
  0.00619277950931478 - 0.016464607898904794im  -0.010374260113956271 + 0.004554573048669738im

[:, :, 1, 2, 1, 2, 1, 2] =
  0.009543600335591823 + 0.009715688916225304im  -0.0125567827480576 + 0.00635265648502367im
 -0.049185031341333854 - 0.02140334108799922im   0.02975594145863493 - 0.0015732591713169923im

[:, :, 2, 2, 1, 2, 1, 2] =
  0.01684427901071084 + 0.04117146565872209im  -0.026351320817401148 - 0.015401062749835735im
 0.005241333107071224 - 0.02836130206228182im   0.009032028992752641 + 0.030073003907252753im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.020713005369923942 + 0.02137679792504684im   0.010648757331334397 + 0.03446087648162431im
 -0.007052217307980814 - 0.033099916901990545im  -0.04288629144397217 - 0.014683811760580248im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.009330217950907452 + 0.029113430179674882im   0.06176809405952778 + 0.003782096085312667im
  0.03307139588133668 + 0.0035533750230790336im  0.01260459162468206 - 0.03519360027941959im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.021084362870300466 - 0.01604382861043515im    0.008938916888064682 - 0.006657036260922506im
  0.034837874676360285 - 0.005911844694142709im  -0.004967175353733669 + 0.01044844955332971im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.06429199209092556 + 0.021886916709374527im   0.028551671376143506 - 0.02511204175527985im
 0.017343605579322924 + 0.030753042781852695im  -0.025767918450877444 - 0.0019286918410597138im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.051643355803055895 - 6.566316306530903e-17im  0.029227584653323323 - 0.06361637656043861im
 0.029227584653323327 + 0.06361637656043898im      0.1544436216059453 + 6.338879083286522e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.026389127631948752 + 0.03481563706764143im   0.05581064164312167 + 0.0404295696516185im
 -0.033567689365902376 + 0.045799072352330085im  0.09911366509198055 + 0.026442820239364666im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.026389127631948745 - 0.034815637067641445im  -0.03356768936590215 - 0.04579907235233015im
   0.05581064164312209 - 0.04042956965161861im    0.09911366509198088 - 0.026442820239364312im

[:, :, 2, 2, 1, 1, 2, 2] =
 0.05232237797765747 - 1.8209642350847795e-18im  0.08497513747536951 + 0.007668189586638026im
 0.08497513747536967 - 0.007668189586637776im     0.1543613780898603 + 1.4093669942398092e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.025591858854149444 - 0.006530402954870992im  -0.000109904931246125 + 0.0407186834570946im
 -0.009210529056466833 - 0.04313050058097825im     -0.0675636937522526 - 7.770955476369497e-5im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.009086887275903012 + 0.041415089310732324im    0.06934512511206442 + 0.047068069168998354im
  0.012965328100744139 - 0.014649947261224294im  -0.023377884286555156 - 0.05372568897246004im

[:, :, 1, 2, 2, 1, 2, 2] =
  0.016613804086953506 + 0.031057282489756068im    0.02523467451282706 + 0.05567011232999624im
 -0.031254644396049115 + 0.032500161198155214im  -0.050723186683280616 + 0.04333593195224408im

[:, :, 2, 2, 2, 1, 2, 2] =
 0.041085124405127016 - 0.004573239078315113im    0.05842852145746453 + 0.010120464113287514im
 -0.01659919720099635 - 0.017548096457783494im  -0.014343323723269559 - 0.041194460832262im

[:, :, 1, 1, 1, 2, 2, 2] =
    -0.02559185885414946 + 0.006530402954871265im  -0.009210529056466703 + 0.04313050058097816im
 -0.00010990493124614858 - 0.04071868345709487im    -0.06756369375225267 + 7.770955476373366e-5im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.016613804086953066 - 0.03105728248975615im   -0.03125464439604899 - 0.03250016119815479im
  0.02523467451282717 - 0.055670112329995976im  -0.05072318668328045 - 0.04333593195224407im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.009086887275903332 - 0.04141508931073216im   0.012965328100744244 + 0.01464994726122427im
   0.06934512511206437 - 0.04706806916899841im  -0.023377884286555073 + 0.0537256889724598im

[:, :, 2, 2, 1, 2, 2, 2] =
 0.041085124405126294 + 0.00457323907831523im   -0.016599197200996285 + 0.0175480964577835im
  0.05842852145746448 - 0.010120464113287164im  -0.014343323723269522 + 0.04119446083226185im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.024739759866311686 - 2.1523635399773452e-17im   0.00935750876549745 - 0.0270947760335978im
 0.009357508765497667 + 0.02709477603359797im     0.041924258213848174 + 1.017780970176819e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
  0.010796092359986522 - 0.0220711430661171im     -0.03389038954661777 - 0.022020834823640808im
 -0.015721624680416508 + 0.0005478935706390754im  0.005458426051254704 + 0.02076760121782547im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.010796092359986525 + 0.02207114306611705im   -0.01572162468041649 - 0.0005478935706391693im
 -0.03389038954661777 + 0.02202083482364114im  0.0054584260512546825 - 0.020767601217825202im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.04666182393999753 - 4.8998174450988417e-17im  -0.025178337574444393 + 0.016788728611531172im
 -0.025178337574444237 - 0.016788728611531092im     0.024687431103286354 - 7.351289119769449e-17im
get_trace(ρ) = 1.0000000000000007 + 3.938120186758875e-16im
get_trace_moment(ρ, 2) = 0.6234580256355123
get_trace_moment(ρ, 3) = 0.4351870384532688 + 1.0218605475675879e-16im
purity_1 = 0.5298550098081755
purity_2 = 0.5298550098081768
trrho3_1 = 0.3082482688030958
trrho3_2 = 0.3082482688030967 + 1.2508076239797945e-15im
purity = 0.6234580256355123
p2 = 0.6234580256355123
trrho3 = 0.4351870384532688 + 1.0218605475675879e-16im
p3 = 0.16067319124818932 + 3.157196726277789e-16im
Cost function 0.8634409758287795
Cost function -0.12990093320896656
Cost function -0.1299009332089666
Cost function -0.12990093320896656
Cost function -0.1299009332089666
Cost function -0.12990093320896653
Cost function -0.12990093320896653
norm(ψ_sum_approx - ψ_sum) = 2.736247916181094e-16
 57.203025 seconds (28.04 M allocations: 1.573 GiB, 1.01% gc time, 99.41% compilation time)
Running test_trace_moments.jl
  8.622983 seconds (6.31 M allocations: 342.309 MiB, 2.02% gc time, 99.93% compilation time)
  0.000454 seconds (820 allocations: 192.258 KiB)
  1.258023 seconds (326.26 k allocations: 18.444 MiB, 99.62% compilation time)
dense_moments_4_batches = 0.9999999999999996
dense_moments_nu_batches = 0.9999999999999997
factorized_moments = 0.9999999999999997
  0.899610 seconds (339.59 k allocations: 19.267 MiB, 99.28% compilation time)
  0.002125 seconds (4.92 k allocations: 1.860 MiB)
  0.722939 seconds (422.49 k allocations: 42.741 MiB, 95.74% compilation time)
dense_moments_4_batches = 5.756037076195106
dense_moments_nu_batches = 6.089644552473802
factorized_moments = 6.089644552473805
  0.349162 seconds (132.33 k allocations: 10.130 MiB, 97.72% compilation time)
  0.006919 seconds (19.52 k allocations: 8.898 MiB)
  1.077929 seconds (5.56 M allocations: 978.173 MiB, 18.29% gc time, 8.31% compilation time)
dense_moments_4_batches = 5.772097915771653
dense_moments_nu_batches = 0.1423828939364461
factorized_moments = 0.14238289393646764
  0.378763 seconds (142.41 k allocations: 11.899 MiB, 97.63% compilation time)
  0.047077 seconds (48.62 k allocations: 24.446 MiB, 58.30% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 16.493907 seconds (93.73 M allocations: 16.660 GiB, 15.01% gc time, 0.56% compilation time)
dense_moments_4_batches = -5.9103038081823165
dense_moments_nu_batches = -14.530550280666807
factorized_moments = -14.53055028066681
 30.925083 seconds (107.31 M allocations: 18.105 GiB, 9.30% gc time, 43.12% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m11.8s
     Testing RandomMeas tests passed 

Testing completed after 941.05s

PkgEval succeeded after 1194.93s