Package evaluation of RandomMeas on Julia 1.13.0-DEV.1072 (de815ed1fa*) started at 2025-09-04T04:15:36.428


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.09s


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

Installing RandomMeas...
   Resolving package versions...
    Updating `~/.julia/environments/v1.13/Project.toml`
  [a9f96d1f] + RandomMeas v0.2.0
    Updating `~/.julia/environments/v1.13/Manifest.toml`
  [621f4979] + AbstractFFTs v1.5.0
  [7d9f7c33] + Accessors v0.1.42
  [79e6a3ab] + Adapt v4.3.0
  [66dad0bd] + AliasTables v1.1.3
  [dce04be8] + ArgCheck v2.5.0
  [4fba245c] + ArrayInterface v7.20.0
  [4c555306] + ArrayLayouts v1.11.2
  [198e06fe] + BangBang v0.4.4
  [9718e550] + Baselet v0.1.1
  [6e4b80f9] + BenchmarkTools v1.6.0
  [d1d4a3ce] + BitFlags v0.1.9
  [c3b6d118] + BitIntegers v0.3.5
  [8e7c35d0] + BlockArrays v1.7.1
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.26.0
  [da1fd8a2] + CodeTracking v2.0.0
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.18.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.19.1
  [e2d170a0] + DataValueInterfaces v1.0.0
  [244e2a9f] + DefineSingletons v0.1.2
  [8bb1440f] + DelimitedFiles v1.9.1
  [85a47980] + Dictionaries v0.4.5
  [163ba53b] + DiffResults v1.1.0
  [b552c78f] + DiffRules v1.15.1
  [ffbed154] + DocStringExtensions v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.4
  [5789e2e9] + FileIO v1.17.0
  [1a297f60] + FillArrays v1.13.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.1.0
  [d9f16b24] + Functors v0.5.2
  [46192b85] + GPUArraysCore v0.2.0
  [28b8d3ca] + GR v0.73.17
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.17
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.15
  [0d1a4710] + ITensorMPS v0.3.20
  [9136182c] + ITensors v0.9.9
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.5
  [3587e190] + InverseFunctions v0.1.17
  [92d709cd] + IrrationalConstants v0.2.4
  [28f27b66] + IsApprox v2.0.0
  [82899510] + IteratorInterfaceExtensions v1.0.0
  [1019f520] + JLFzf v0.1.11
  [692b3bcd] + JLLWrappers v1.7.1
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.5
  [0b1a1467] + KrylovKit v0.10.0
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.9
  [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 v1.40.19
  [aea7be01] + PrecompileTools v1.3.3
  [21216c6a] + Preferences v1.5.0
  [92933f4c] + ProgressMeter v1.11.0
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.2.0
  [c1ae055f] + RealDot v0.1.0
  [3cdcf5f2] + RecipesBase v1.3.4
  [01d81517] + RecipesPipeline v0.6.12
  [189a3867] + Reexport v1.2.2
  [42d2dcc6] + Referenceables v0.1.3
  [05181044] + RelocatableFolders v1.0.1
  [ae029012] + Requires v1.3.1
  [295af30f] + Revise v3.9.0
  [7e506255] + ScopedValues v1.5.0
  [6c6a2e73] + Scratch v1.3.0
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
  [992d4aef] + Showoff v1.0.3
  [777ac1f9] + SimpleBufferStream v1.2.0
  [699a6c99] + SimpleTraits v0.9.5
  [a2af1166] + SortingAlgorithms v1.2.2
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.15
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.6
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.29
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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 v2.7.1+0
  [b22a6f82] + FFMPEG_jll v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.17.1+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.2+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.1+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.1+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.5.2+0
  [36c8627f] + Pango_jll v1.56.3+0
⌅ [30392449] + Pixman_jll v0.44.2+0
  [c0090381] + Qt6Base_jll v6.8.2+1
  [629bc702] + Qt6Declarative_jll v6.8.2+1
  [ce943373] + Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] + Qt6Wayland_jll v6.8.2+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.24.0+0
  [ffd25f8a] + XZ_jll v5.8.1+0
  [f67eecfb] + Xorg_libICE_jll v1.1.2+0
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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 v2025.8.12
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.7+0
  [458c3c95] + OpenSSL_jll v3.5.2+0
  [efcefdf7] + PCRE2_jll v10.46.0+0
  [bea87d4a] + SuiteSparse_jll v7.10.1+0
  [83775a58] + Zlib_jll v1.3.1+2
  [3161d3a3] + Zstd_jll v1.5.7+1
  [8e850b90] + libblastrampoline_jll v5.13.1+0
  [8e850ede] + nghttp2_jll v1.66.0+0
  [3f19e933] + p7zip_jll v17.6.0+0
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

Installation completed after 7.01s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 164.08s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_5TtcdQ/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.20
  [9136182c] ITensors v0.9.9
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.19
  [92933f4c] ProgressMeter v1.11.0
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.9.0
  [2913bbd2] StatsBase v0.34.6
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_5TtcdQ/Manifest.toml`
  [621f4979] AbstractFFTs v1.5.0
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [dce04be8] ArgCheck v2.5.0
  [4fba245c] ArrayInterface v7.20.0
  [4c555306] ArrayLayouts v1.11.2
  [198e06fe] BangBang v0.4.4
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.6.0
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.7.1
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.26.0
  [da1fd8a2] CodeTracking v2.0.0
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.19.1
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.4
  [5789e2e9] FileIO v1.17.0
  [1a297f60] FillArrays v1.13.0
  [53c48c17] FixedPointNumbers v0.8.5
  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.1.0
  [d9f16b24] Functors v0.5.2
  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.17
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.17
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.15
  [0d1a4710] ITensorMPS v0.3.20
  [9136182c] ITensors v0.9.9
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.5
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.4
  [28f27b66] IsApprox v2.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.5
  [0b1a1467] KrylovKit v0.10.0
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.9
  [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 v3.5.2+0
  [efcefdf7] PCRE2_jll v10.46.0+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
108.179766 seconds (98.07 M allocations: 5.187 GiB, 2.29% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.057706060606061
overlap = 0.20502700000000004
fidelity = 0.19604145985006505
exact_fidelity = 0.24733817247852186
XEB = 2.8390500788241955
self_XEB = 2.8349076466555427
100.301678 seconds (72.12 M allocations: 3.938 GiB, 1.47% gc time, 99.66% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.827401 seconds (5.93 M allocations: 331.223 MiB, 1.10% gc time, 98.72% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=902|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=902|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.39160510318082586 + 0.16926084634636834im  0.8917710100813345 + 0.15080011483868794im
 -0.6581049398881846 - 0.6203983374829551im   0.3711871264935398 + 0.2102948122722555im, ITensor ord=2
Dim 1: (dim=2|id=200|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=200|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.14322165317978075 - 0.2569344441316325im     0.9443509037390427 - 0.14721963213672495im
  -0.9279326781490966 + 0.22893928081975057im  -0.03287272918793516 + 0.29231341774971104im, ITensor ord=2
Dim 1: (dim=2|id=392|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=392|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.16869375209572368 - 0.17121140474520014im  0.29862198531793616 - 0.9236092154010895im
  0.8738960083523213 + 0.4225338323435428im   -0.2403291052475025 + 0.003584450012647622im, ITensor ord=2
Dim 1: (dim=2|id=976|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=976|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.5747439199373074 + 0.24674411397783588im  0.5293329844680792 + 0.5732306344452522im
 -0.5572642390504442 + 0.5461165961476724im   0.5863350545607999 - 0.21777152036203784im], Index{Int64}[(dim=2|id=902|"Qubit,Site,n=1"), (dim=2|id=200|"Qubit,Site,n=2"), (dim=2|id=392|"Qubit,Site,n=3"), (dim=2|id=976|"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
126.370801 seconds (72.46 M allocations: 3.929 GiB, 1.56% 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.
 11.914582 seconds (4.50 M allocations: 305.258 MiB, 1.00% gc time, 97.12% compilation time)
Running test_measurement_probability.jl
  0.297739 seconds (233.84 k allocations: 12.767 MiB, 81.46% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_a3s7Uq/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.303455 seconds (1.67 M allocations: 91.520 MiB, 2.30% gc time, 93.91% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.24733817247852194
expect_batch = 0.30004887750830556 - 1.3848653260594596e-18im
expect_dense = 0.30004887750830544 + 1.660068810502114e-20im
expect_factorized = 0.3000488775083052 + 7.684285174491145e-18im
 19.412643 seconds (14.36 M allocations: 1.104 GiB, 1.40% gc time, 95.24% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:34
Progress: 100%|█████████████████████████████████████████| Time: 0:01:08
Cost function 1.548110141682305
Cost function -0.5923444305291994

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.5923444305291992
Cost function -0.5923444305291999

Progress: 100%|█████████████████████████████████████████| Time: 0:00:04
Cost function -0.5923444305291996
building shallow map
inversing shallow map
initial loss 1.0602141977851696
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 204.95 s: f = 0.016197811462, ‖∇f‖ = 1.2515e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
458.421295 seconds (307.64 M allocations: 17.394 GiB, 1.44% gc time, 99.11% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=987|"Qubit,Site,n=1")
Dim 2: (dim=2|id=588|"Qubit,Site,n=2")
Dim 3: (dim=2|id=309|"Qubit,Site,n=3")
Dim 4: (dim=2|id=967|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.14202834624929422 + 0.004703182141329233im  -0.2890567183226055 - 0.025311032342445697im
  0.24182796759388003 + 0.017786205349230533im    0.557164068844932 + 0.18261377593808975im

[:, :, 2, 1] =
  -0.12328754495939243 - 0.21000658516452708im  -0.19675713864063857 - 0.008965075228792058im
 -0.023487667945197743 + 0.20529727265607112im   0.05073321983143868 + 0.21596380549629748im

[:, :, 1, 2] =
  0.08324663878687727 - 0.12750361065008892im   -0.03187541613008209 - 0.018345299381777466im
 -0.11869750642101741 + 0.17899531591174228im  -0.012683513430508664 - 0.01581573328828638im

[:, :, 2, 2] =
 -0.17323274941744432 + 0.11736069183408368im  0.13701500291291452 - 0.07993178625327158im
    0.304738637832916 - 0.06820033606544634im  -0.1128427011741857 + 0.22967494607743316im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=987|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=987|"Qubit,Site,n=1")
Dim 3: (dim=2|id=588|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=588|"Qubit,Site,n=2")
Dim 5: (dim=2|id=309|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=309|"Qubit,Site,n=3")
Dim 7: (dim=2|id=967|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=967|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.03204649150290808 - 4.095580485809743e-17im  -0.015171624026592128 + 0.003208705569896697im
 -0.015171624026592194 - 0.0032087055698966594im    0.04551697093697286 + 3.2176789990285084e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
   0.02115075676738783 - 0.0028686875310052077im  -0.05271063969549699 - 0.004073495022854954im
 -0.054148763152059014 + 0.008212760296213631im    0.09589210901449131 + 0.03787516550443356im

[:, :, 1, 2, 1, 1, 1, 1] =
  0.021150756767387566 + 0.0028686875310052306im  -0.05414876315205937 - 0.008212760296213605im
 -0.052710639695497094 + 0.004073495022854887im    0.09589210901449147 - 0.03787516550443363im

[:, :, 2, 2, 1, 1, 1, 1] =
  0.06432189999998876 - 6.943850297970925e-17im  -0.12621941258380764 + 0.03866661418409435im
 -0.12621941258380762 - 0.03866661418409443im      0.2850772895399861 - 1.6466430832659968e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.0043003711800928225 + 0.046343932806234896im   -0.03219256488318869 - 0.022255988379767257im
  -0.005650481879100957 - 0.013147504265742812im  -0.005940051865829674 + 0.03826904337054314im

[:, :, 2, 1, 2, 1, 1, 1] =
  0.027569988286034807 + 0.004544918322132144im  -0.029571896514061512 + 0.002700145874284391im
 -0.005879384315148414 - 0.044556431967435im      0.011340399489605617 + 0.0245947690118238im

[:, :, 1, 2, 2, 1, 1, 1] =
  0.02644824290791796 + 0.024195928024839736im  -0.036039845608347436 - 0.040262577650382096im
 0.002201620826004685 - 0.04803096076397412im    0.028086445496078895 + 0.09696811703843694im

[:, :, 2, 2, 2, 1, 1, 1] =
    0.03553954848154639 - 8.762097353142898e-5im  -0.07286246704719083 + 0.009106054452291125im
 -0.0053353203060247795 - 0.033744371378612345im   0.01124990045524295 + 0.07935601107145587im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.004300371180092828 - 0.046343932806234674im  -0.0056504818791009645 + 0.013147504265742802im
 -0.032192564883188474 + 0.022255988379767208im   -0.005940051865829718 - 0.038269043370543036im

[:, :, 2, 1, 1, 2, 1, 1] =
 0.026448242907917804 - 0.024195928024839754im  0.002201620826004517 + 0.048030960763974055im
 -0.03603984560834761 + 0.0402625776503822im    0.028086445496078843 - 0.09696811703843684im

[:, :, 1, 2, 1, 2, 1, 1] =
  0.027569988286034595 - 0.004544918322132345im  -0.005879384315148308 + 0.044556431967434855im
 -0.029571896514061516 - 0.002700145874284462im   0.011340399489605545 - 0.02459476901182391im

[:, :, 2, 2, 1, 2, 1, 1] =
  0.03553954848154633 + 8.762097353142494e-5im  -0.0053353203060247925 + 0.03374437137861233im
 -0.07286246704719093 - 0.009106054452291195im    0.011249900455242906 - 0.07935601107145601im

[:, :, 1, 1, 2, 2, 1, 1] =
   0.0906281169908729 - 1.0281545347090115e-16im  -0.01042591297898798 + 0.01541722268136706im
 -0.01042591297898794 - 0.01541722268136703im      0.03696069936771565 - 3.104254861137189e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.015383398478203568 - 0.04205937996946848im  -0.0007345689507578445 + 0.02374452005056215im
 -0.06682175153322643 + 0.01128617476439373im    0.021754585675579596 + 0.0008621879061198479im

[:, :, 1, 2, 2, 2, 1, 1] =
  0.015383398478203475 + 0.04205937996946848im   -0.06682175153322664 - 0.011286174764393676im
 -0.000734568950757867 - 0.023744520050562056im   0.02175458567557963 - 0.0008621879061198977im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.031267358116467206 - 9.504095952431253e-17im  -0.012883086682500405 + 0.03945210007995833im
 -0.012883086682500221 - 0.03945210007995832im      0.06390970974214559 + 1.9349322576078604e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.006208204153062897 + 0.01023560015502228im    0.013806537745665523 - 0.023596779966633084im
  0.021888135311139423 - 0.011207926064096771im  -0.013414256927691706 + 0.035168745986363985im

[:, :, 2, 1, 1, 1, 2, 1] =
  0.003024460530310296 - 0.009493735040339447im  -0.005254811301255438 - 0.008331756078087832im
 -0.014538406521743473 + 0.010198470285137533im  -0.010400717876753836 + 0.0011378301669627139im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.01486079724599777 + 0.02906199159577686im    0.01284624663528283 - 0.06436507310235133im
 0.014674039443478936 - 0.03755685192129121im  -0.013313852096028722 + 0.07025067954424143im

[:, :, 2, 2, 1, 1, 2, 1] =
 0.01085126653457184 + 0.007903079805954732im  -0.03276627984938892 - 0.003357946674952309im
 0.00640703913900178 - 0.006192486107174933im  0.005983123784723004 + 0.020557435089988547im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.029817729424538832 + 0.007865829298411148im  -0.022538874004851592 + 0.03179309568289759im
 -0.011145209296043963 + 0.006724701657026216im   0.060236354247539634 - 0.01417585891834968im

[:, :, 2, 1, 2, 1, 2, 1] =
 -0.024102134086801823 - 0.00631720057327207im    0.017668590218638956 - 0.022400413592680288im
  -0.01073907714540746 - 0.008800916867922708im  -0.027909555722776605 + 0.04618903499751731im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.021148274189606665 - 0.030441652874359886im  -0.022262283153975184 + 0.049373718520019885im
 -0.06890560874118687 + 0.025657292165878656im     0.1123223702911959 - 0.0960303710844636im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.017139820413951477 + 0.0207733297460512im     0.0211031019865131 - 0.033097267480118375im
  0.023446058358742534 - 0.06223169527063625im  0.006045550324913922 + 0.1402580544416356im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.006323846300068915 + 0.021679826861422665im  -0.02176444517339383 - 0.009817229603961098im
 -0.015812839094614367 - 0.05167512067476836im   0.025567690446058056 + 0.0073074033490716im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.01045933753267752 + 0.007133944785779046im  -0.006654354706227886 + 0.010440077636332104im
 0.029380050676460403 + 0.013928469305785493im   0.008995115851874479 + 0.004249292962795935im

[:, :, 1, 2, 1, 2, 2, 1] =
 -0.009912494065020453 + 0.01669356739660742im  -0.013761247037019149 - 0.013742209827107247im
  0.020527431039766134 - 0.02421081898118587im   0.014094476321459583 + 0.03591923726536689im

[:, :, 2, 2, 1, 2, 2, 1] =
  0.0025505520265208725 - 0.002785447391901792im   0.010718205964408832 + 0.005045810033718678im
 -0.0037803002187119725 + 0.008593986515650427im  -0.012466126578667903 - 0.019535700855060747im

[:, :, 1, 1, 2, 2, 2, 1] =
 0.013414976547669641 - 0.0694747255985794im    0.021418052385670364 + 0.008896552223162144im
 -0.03211260481185159 + 0.022734317945205685im  -0.02380149077835788 - 0.05090419468631384im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.01034952661479246 + 0.053571200676716675im  -0.01434045540467264 - 0.007596993936490471im
  0.01521124866658507 - 0.016732193588052204im  0.051327058816697635 + 0.014946369009907493im

[:, :, 1, 2, 2, 2, 2, 1] =
  0.03178438008501426 - 0.010789654503999276im  -0.013729880931126672 + 0.044340914687710155im
 -0.03268887013704995 + 0.008479014458520038im  -0.002373390045352263 - 0.023778614679613792im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.025272805116695503 + 0.007384524584312508im  0.011339354372402768 - 0.035432758740186775im
  0.006199643065393071 - 0.02239811808119276im    0.01519323944438875 - 0.00502897758257473im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.00620820415306275 - 0.010235600155022156im   0.021888135311139312 + 0.011207926064096721im
 0.013806537745665494 + 0.02359677996663297im   -0.013414256927691541 - 0.03516874598636388im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.014860797245997787 - 0.029061991595776968im   0.014674039443478785 + 0.03755685192129125im
  0.012846246635282652 + 0.06436507310235143im   -0.013313852096028669 - 0.07025067954424141im

[:, :, 1, 2, 1, 1, 1, 2] =
 0.0030244605303102468 + 0.009493735040339353im  -0.014538406521743426 - 0.010198470285137824im
 -0.005254811301255393 + 0.008331756078087742im  -0.010400717876753791 - 0.001137830166962596im

[:, :, 2, 2, 1, 1, 1, 2] =
  0.010851266534571974 - 0.007903079805954696im  0.006407039139001754 + 0.006192486107174946im
 -0.032766279849389096 + 0.003357946674952504im  0.005983123784723022 - 0.020557435089988727im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.006323846300068915 - 0.021679826861422797im  -0.015812839094614183 + 0.05167512067476847im
 -0.021764445173393855 + 0.009817229603961175im    0.02556769044605807 - 0.007307403349071902im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.009912494065020455 - 0.0166935673966074im    0.020527431039765988 + 0.024210818981185815im
  -0.01376124703701929 + 0.013742209827107268im   0.01409447632145961 - 0.03591923726536698im

[:, :, 1, 2, 2, 1, 1, 2] =
 -0.010459337532677417 - 0.007133944785779176im   0.02938005067646031 - 0.01392846930578532im
 -0.006654354706227883 - 0.01044007763633192im   0.008995115851874652 - 0.004249292962796199im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.002550552026520798 + 0.002785447391901669im  -0.0037803002187120124 - 0.008593986515650548im
 0.010718205964408917 - 0.005045810033718803im   -0.012466126578667972 + 0.019535700855060914im

[:, :, 1, 1, 1, 2, 1, 2] =
  0.02981772942453909 - 0.007865829298411236im  -0.011145209296043731 - 0.006724701657026113im
 -0.02253887400485142 - 0.03179309568289758im     0.06023635424753966 + 0.014175858918349634im

[:, :, 2, 1, 1, 2, 1, 2] =
   0.02114827418960641 + 0.030441652874360077im  -0.06890560874118684 - 0.025657292165878323im
 -0.022262283153975493 - 0.049373718520019524im    0.1123223702911958 + 0.0960303710844635im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.02410213408680189 + 0.006317200573271994im  -0.010739077145407479 + 0.00880091686792244im
 0.017668590218638924 + 0.022400413592680045im  -0.027909555722776487 - 0.04618903499751746im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.017139820413951495 - 0.020773329746051256im   0.023446058358742583 + 0.06223169527063626im
  0.021103101986513197 + 0.033097267480118216im  0.0060455503249139154 - 0.1402580544416355im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.013414976547669806 + 0.06947472559857928im    -0.03211260481185161 - 0.02273431794520558im
 0.021418052385670242 - 0.008896552223162008im  -0.023801490778357637 + 0.05090419468631382im

[:, :, 2, 1, 2, 2, 1, 2] =
   0.03178438008501418 + 0.01078965450399921im  -0.032688870137049866 - 0.00847901445852005im
 -0.013729880931126665 - 0.04434091468771023im  -0.002373390045352239 + 0.02377861467961382im

[:, :, 1, 2, 2, 2, 1, 2] =
  -0.01034952661479256 - 0.05357120067671653im   0.015211248666585105 + 0.01673219358805228im
 -0.014340455404672743 + 0.007596993936490454im   0.05132705881669755 - 0.014946369009907689im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.025272805116695538 - 0.007384524584312587im  0.006199643065392849 + 0.022398118081192513im
   0.01133935437240267 + 0.03543275874018685im   0.015193239444388839 + 0.005028977582574786im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.016838735304016694 - 2.112649841531609e-17im  -0.02232293006071143 - 0.0018463030427802783im
 -0.02232293006071159 + 0.0018463030427801571im  0.039470777434132416 + 3.873452396385089e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.0011500429834941839 - 0.005510869122771401im  -0.0036469374527217297 - 0.0005100774672961656im
 -0.002553432100996326 - 0.002766248943252015im   -0.006308462611608564 + 0.01290406515692763im

[:, :, 1, 2, 1, 1, 2, 2] =
  0.0011500429834941936 + 0.005510869122771379im   -0.002553432100996142 + 0.002766248943251788im
 -0.0036469374527213464 + 0.0005100774672961648im  -0.006308462611608408 - 0.0129040651569275im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.008232010873848374 - 1.4834144564216563e-16im  -0.004914564755011374 + 0.009893280955015684im
 -0.004914564755011131 - 0.009893280955015623im      0.01824742824456039 + 1.1796320109522406e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.02116768928071063 - 0.004511422412520135im   0.042133996948804944 + 0.017786400181974454im
 0.026421904942292244 + 0.025700144378655414im  -0.023262371919290974 - 0.03871779237885412im

[:, :, 2, 1, 2, 1, 2, 2] =
  0.015370125469440693 + 0.004416370849006491im    -0.0315967867929462 - 0.014316085840050752im
 -0.031882620117067065 + 0.0024622007095255307im  0.030835134912660277 + 0.010159334355999411im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.009793260690350516 + 0.0028536962571922937im  -0.0014063208662099301 - 0.025484341330892266im
  -0.00661911812741629 + 0.017788046816855727im    -0.018532542008541094 - 0.0061406485075903025im

[:, :, 2, 2, 2, 1, 2, 2] =
 0.006826564703849655 - 0.0029079896459520585im  0.0020310445828605945 + 0.019268028670716926im
  -0.0090377152730394 - 0.021123991441970358im    0.024977699394913053 - 0.004413641414709674im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.021167689280710687 + 0.0045114224125199845im   0.026421904942292462 - 0.025700144378655462im
   0.04213399694880493 - 0.017786400181974242im   -0.023262371919291036 + 0.03871779237885395im

[:, :, 2, 1, 1, 2, 2, 2] =
  -0.009793260690350655 - 0.002853696257192447im  -0.0066191181274160285 - 0.01778804681685539im
 -0.0014063208662099152 + 0.02548434133089277im    -0.018532542008541403 + 0.006140648507589945im

[:, :, 1, 2, 1, 2, 2, 2] =
 0.015370125469440435 - 0.004416370849006212im  -0.031882620117067315 - 0.002462200709525809im
 -0.03159678679294627 + 0.014316085840050395im    0.03083513491266029 - 0.010159334355999175im

[:, :, 2, 2, 1, 2, 2, 2] =
  0.006826564703849621 + 0.0029079896459521934im  -0.009037715273039508 + 0.021123991441970042im
 0.0020310445828604284 - 0.019268028670717266im    0.024977699394912938 + 0.004413641414710171im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.05904835400058654 - 9.189584432148664e-17im  -0.02834538046076614 + 0.036634484670185555im
 -0.02834538046076628 - 0.036634484670185194im    0.08927414122628043 - 7.057498272376884e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.04477068844397105 - 0.00016121292241536397im   0.021259731208298906 - 0.024912570107758755im
  0.03153416638926928 + 0.014781035495274219im    -0.058886229579707614 + 0.05958798220293166im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.04477068844397092 + 0.00016121292241538622im    0.03153416638926935 - 0.01478103549527429im
 0.021259731208298712 + 0.024912570107758783im    -0.058886229579707565 - 0.05958798220293191im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.03409449388838734 - 2.713404186423765e-17im  -0.021252782509963517 + 0.009596285114038906im
 -0.021252782509963465 - 0.009596285114038941im      0.0850655228311303 - 3.562587667926941e-17im
get_trace(ρ) = 0.9999999999999996 - 6.484014332835668e-16im
get_trace_moment(ρ, 2) = 0.5929355365413898
get_trace_moment(ρ, 3) = 0.38940330481208624 - 3.469446951953614e-18im
purity_1 = 0.5548013247637253
purity_2 = 0.5548013247637258
trrho3_1 = 0.343282210905068
trrho3_2 = 0.3432822109050681 + 1.2197274440461925e-16im
purity = 0.5929355365413898
p2 = 0.5929355365413898
trrho3 = 0.38940330481208624 - 3.469446951953614e-18im
p3 = 0.17461621256614862 - 1.196959198423997e-16im
Cost function 1.0361308048056217
Cost function -0.08184261529574366
Cost function -0.08184261529574365
Cost function -0.08184261529574365
Cost function -0.08184261529574367
Cost function -0.08184261529574365
Cost function -0.08184261529574367
norm(ψ_sum_approx - ψ_sum) = 2.270301745069659e-16
 55.862898 seconds (28.00 M allocations: 1.566 GiB, 0.89% gc time, 99.20% compilation time)
Running test_trace_moments.jl
  8.868513 seconds (6.37 M allocations: 344.837 MiB, 1.86% gc time, 99.92% compilation time)
  0.000402 seconds (820 allocations: 192.258 KiB)
  1.271582 seconds (330.82 k allocations: 18.618 MiB, 99.64% compilation time)
dense_moments_4_batches = 1.0000000000000002
dense_moments_nu_batches = 1.0000000000000002
factorized_moments = 1.0000000000000007
  0.859341 seconds (340.17 k allocations: 19.241 MiB, 99.26% compilation time)
  0.001896 seconds (4.92 k allocations: 1.860 MiB)
  0.698457 seconds (423.34 k allocations: 42.752 MiB, 95.52% compilation time)
dense_moments_4_batches = 2.644810369325797
dense_moments_nu_batches = 1.8197626653490324
factorized_moments = 1.8197626653490342
  0.345408 seconds (132.63 k allocations: 10.124 MiB, 97.67% compilation time)
  0.006549 seconds (19.52 k allocations: 8.898 MiB)
  1.081116 seconds (5.56 M allocations: 978.165 MiB, 18.12% gc time, 8.97% compilation time)
dense_moments_4_batches = 2.5101927628402483
dense_moments_nu_batches = 4.0175578108905246
factorized_moments = 4.017557810890534
  0.354587 seconds (142.69 k allocations: 11.895 MiB, 97.53% compilation time)
  0.017681 seconds (48.62 k allocations: 24.446 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.352024 seconds (93.73 M allocations: 16.660 GiB, 15.04% gc time, 0.62% compilation time)
dense_moments_4_batches = -17.61608656266095
dense_moments_nu_batches = -10.45056431054735
factorized_moments = -10.450564310547362
 30.039607 seconds (107.39 M allocations: 18.109 GiB, 8.89% gc time, 45.34% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m21.2s
     Testing RandomMeas tests passed 

Testing completed after 950.69s

PkgEval succeeded after 1147.94s