Package evaluation of RandomMeas on Julia 1.11.4 (a71dd056e0*) started at 2025-04-09T01:28:06.317


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

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.42s


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

Installing RandomMeas...
   Resolving package versions...
    Updating `~/.julia/environments/v1.11/Project.toml`
  [a9f96d1f] + RandomMeas v0.1.0
    Updating `~/.julia/environments/v1.11/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 v7.18.0
  [4c555306] + ArrayLayouts v1.11.1
  [198e06fe] + BangBang v0.4.4
  [9718e550] + Baselet v0.1.1
  [d1d4a3ce] + BitFlags v0.1.9
  [c3b6d118] + BitIntegers v0.3.5
  [8e7c35d0] + BlockArrays v1.5.0
  [082447d4] + ChainRules v1.72.3
  [d360d2e6] + ChainRulesCore v1.25.1
  [da1fd8a2] + CodeTracking v1.3.9
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.29.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.0
  [861a8166] + Combinatorics v1.0.2
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.16.0
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.5.8
  [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 v0.9.4
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.2
  [5789e2e9] + FileIO v1.17.0
  [1a297f60] + FillArrays v1.13.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.0.1
  [d9f16b24] + Functors v0.5.2
  [46192b85] + GPUArraysCore v0.2.0
  [28b8d3ca] + GR v0.73.13
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.15
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.14
  [0d1a4710] + ITensorMPS v0.3.16
⌅ [9136182c] + ITensors v0.8.10
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.3
  [3587e190] + InverseFunctions v0.1.17
  [92d709cd] + IrrationalConstants v0.2.4
  [28f27b66] + IsApprox v2.0.0
  [82899510] + IteratorInterfaceExtensions v1.0.0
  [1019f520] + JLFzf v0.1.10
  [692b3bcd] + JLLWrappers v1.7.0
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.9.42
  [0b1a1467] + KrylovKit v0.9.5
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.7
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.1.0
  [1914dd2f] + MacroTools v0.5.15
  [739be429] + MbedTLS v1.1.9
  [442fdcdd] + Measures v0.3.2
  [128add7d] + MicroCollections v0.2.0
  [e1d29d7a] + Missings v1.2.0
  [23ae76d9] + NDTensors v0.4.6
  [15e1cf62] + NPZ v0.4.3
  [77ba4419] + NaNMath v1.1.3
  [4d8831e6] + OpenSSL v1.4.3
  [77e91f04] + OptimKit v0.4.0
  [bac558e1] + OrderedCollections v1.8.0
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.1
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.11
⌅ [aea7be01] + PrecompileTools v1.2.1
  [21216c6a] + Preferences v1.4.3
  [92933f4c] + ProgressMeter v1.10.4
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.1.0
  [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 v3.7.3
  [7e506255] + ScopedValues v1.3.0
  [6c6a2e73] + Scratch v1.2.1
  [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 v2.5.0
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.2
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.0
  [2913bbd2] + StatsBase v0.34.4
  [5e0ebb24] + Strided v2.3.0
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.0
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.28
  [3bb67fe8] + TranscodingStreams v0.11.3
  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
  [7e5a90cf] + TypeParameterAccessors v0.3.9
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⌅ [b22a6f82] + FFMPEG_jll v4.4.4+1
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⌃ [7746bdde] + Glib_jll v2.82.4+0
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  [dd4b983a] + LZO_jll v2.10.3+0
⌅ [e9f186c6] + Libffi_jll v3.2.2+2
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  [36c8627f] + Pango_jll v1.56.1+0
  [30392449] + Pixman_jll v0.44.2+0
⌅ [c0090381] + Qt6Base_jll v6.7.1+1
⌅ [629bc702] + Qt6Declarative_jll v6.7.1+2
⌅ [ce943373] + Qt6ShaderTools_jll v6.7.1+1
⌃ [e99dba38] + Qt6Wayland_jll v6.7.1+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
⌃ [a2964d1f] + Wayland_jll v1.21.0+2
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  [a3789734] + Xorg_libXdmcp_jll v1.1.5+0
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  [d091e8ba] + Xorg_libXfixes_jll v6.0.0+0
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  [ec84b674] + Xorg_libXrandr_jll v1.5.4+0
  [ea2f1a96] + Xorg_libXrender_jll v0.9.11+1
  [14d82f49] + Xorg_libpthread_stubs_jll v0.1.2+0
  [c7cfdc94] + Xorg_libxcb_jll v1.17.0+3
  [cc61e674] + Xorg_libxkbfile_jll v1.1.2+1
  [e920d4aa] + Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] + Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] + Xorg_xcb_util_jll v0.4.0+1
  [975044d2] + Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] + Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] + Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] + Xorg_xkbcomp_jll v1.4.6+1
  [33bec58e] + Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] + Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] + Zstd_jll v1.5.7+1
  [35ca27e7] + eudev_jll v3.2.9+0
  [214eeab7] + fzf_jll v0.56.3+0
  [1a1c6b14] + gperf_jll v3.1.1+1
  [a4ae2306] + libaom_jll v3.11.0+0
  [0ac62f75] + libass_jll v0.15.2+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.11.0+0
  [f638f0a6] + libfdk_aac_jll v2.0.3+0
  [36db933b] + libinput_jll v1.18.0+0
  [b53b4c65] + libpng_jll v1.6.47+0
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⌅ [1270edf5] + x264_jll v2021.5.5+0
⌅ [dfaa095f] + x265_jll v3.5.0+0
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  [9fa8497b] + Future v1.11.0
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  [b27032c2] + LibCURL v0.6.4
  [76f85450] + LibGit2 v1.11.0
  [8f399da3] + Libdl v1.11.0
  [37e2e46d] + LinearAlgebra v1.11.0
  [56ddb016] + Logging v1.11.0
  [d6f4376e] + Markdown v1.11.0
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  [ca575930] + NetworkOptions v1.2.0
  [44cfe95a] + Pkg v1.11.0
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  [9a3f8284] + Random v1.11.0
  [ea8e919c] + SHA v0.7.0
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  [f489334b] + StyledStrings v1.11.0
  [4607b0f0] + SuiteSparse
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  [8dfed614] + Test v1.11.0
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  [deac9b47] + LibCURL_jll v8.6.0+0
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  [29816b5a] + LibSSH2_jll v1.11.0+1
  [c8ffd9c3] + MbedTLS_jll v2.28.6+0
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  [05823500] + OpenLibm_jll v0.8.5+0
  [efcefdf7] + PCRE2_jll v10.42.0+1
  [bea87d4a] + SuiteSparse_jll v7.7.0+0
  [83775a58] + Zlib_jll v1.2.13+1
  [8e850b90] + libblastrampoline_jll v5.11.0+0
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        Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

Installation completed after 5.03s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 225.18s


################################################################################
# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_1lWbs4/Project.toml`
  [861a8166] Combinatorics v1.0.2
  [0d1a4710] ITensorMPS v0.3.16
⌅ [9136182c] ITensors v0.8.10
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.11
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.1.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.7.3
  [2913bbd2] StatsBase v0.34.4
  [e88e6eb3] Zygote v0.7.6
  [37e2e46d] LinearAlgebra v1.11.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_1lWbs4/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 v7.18.0
  [4c555306] ArrayLayouts v1.11.1
  [198e06fe] BangBang v0.4.4
  [9718e550] Baselet v0.1.1
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.5.0
  [082447d4] ChainRules v1.72.3
  [d360d2e6] ChainRulesCore v1.25.1
  [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.29.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.0
  [861a8166] Combinatorics v1.0.2
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.16.0
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.5.8
  [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 v0.9.4
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.2
  [5789e2e9] FileIO v1.17.0
  [1a297f60] FillArrays v1.13.0
  [53c48c17] FixedPointNumbers v0.8.5
  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.0.1
  [d9f16b24] Functors v0.5.2
  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.13
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.15
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.14
  [0d1a4710] ITensorMPS v0.3.16
⌅ [9136182c] ITensors v0.8.10
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.3
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.4
  [28f27b66] IsApprox v2.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.10
  [692b3bcd] JLLWrappers v1.7.0
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.9.42
  [0b1a1467] KrylovKit v0.9.5
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.7
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.1.0
  [1914dd2f] MacroTools v0.5.15
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⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
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⌃ [7746bdde] Glib_jll v2.82.4+0
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⌅ [e9f186c6] Libffi_jll v3.2.2+2
  [d4300ac3] Libgcrypt_jll v1.11.1+0
  [7e76a0d4] Libglvnd_jll v1.7.0+0
  [7add5ba3] Libgpg_error_jll v1.51.1+0
  [94ce4f54] Libiconv_jll v1.18.0+0
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  [38a345b3] Libuuid_jll v2.41.0+0
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⌅ [c0090381] Qt6Base_jll v6.7.1+1
⌅ [629bc702] Qt6Declarative_jll v6.7.1+2
⌅ [ce943373] Qt6ShaderTools_jll v6.7.1+1
⌃ [e99dba38] Qt6Wayland_jll v6.7.1+1
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
⌃ [a2964d1f] Wayland_jll v1.21.0+2
  [2381bf8a] Wayland_protocols_jll v1.36.0+0
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  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
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⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
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        Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints 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
190.750855 seconds (105.45 M allocations: 5.280 GiB, 1.06% gc time, 99.96% compilation time: <1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9078121212121211
overlap = 0.5353165
fidelity = 0.5768433649379752
exact_fidelity = 0.5331151252388149
XEB = 1.2768663254484602
self_XEB = 1.2653365644905463
123.439444 seconds (65.98 M allocations: 3.420 GiB, 1.19% gc time, 99.77% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  7.802810 seconds (4.49 M allocations: 238.259 MiB, 0.51% gc time, 99.44% compilation time: 3% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=659|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=659|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
    0.355614798557504 + 0.6567588557352467im   0.421530511300956 - 0.5143130841254091im
 -0.36282643438413675 - 0.5572817052194778im  0.4252285292344231 - 0.6139827175620615im, ITensor ord=2
Dim 1: (dim=2|id=698|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=698|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.5539479543619037 + 0.7871463502393741im  0.24646908111718557 - 0.11311621995251184im
 -0.20644107229036301 + 0.17585326506693im    -0.4804250255012872 - 0.8340560578935883im, ITensor ord=2
Dim 1: (dim=2|id=159|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=159|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.7613933270284317 + 0.28356050455479914im  0.11082413517342299 + 0.5723562290010186im
 0.48209502575063107 - 0.3278079132048249im   0.34010572070500356 + 0.7378715721116559im, ITensor ord=2
Dim 1: (dim=2|id=747|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=747|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
    0.6243207018575303 + 0.6114749982644195im   -0.10644718554566279 - 0.4743321456733206im
 -0.038419057716776395 + 0.48460908342065145im   -0.5317455340746373 + 0.6934873461441312im], Index{Int64}[(dim=2|id=659|"Qubit,Site,n=1"), (dim=2|id=698|"Qubit,Site,n=2"), (dim=2|id=159|"Qubit,Site,n=3"), (dim=2|id=747|"Qubit,Site,n=4")])
┌ Warning: Measurement setting not found in the file and not provided; defaulting to nothing.
└ @ RandomMeas ~/.julia/packages/RandomMeas/irw8N/src/MeasurementData.jl:221
235.706228 seconds (81.66 M allocations: 4.151 GiB, 0.60% gc time, 99.90% 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.
 19.212935 seconds (7.28 M allocations: 415.323 MiB, 3.90% gc time, 97.42% compilation time)
Running test_measurement_probability.jl
  0.270787 seconds (221.78 k allocations: 12.026 MiB, 85.30% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_1redm9/tempfile.npz
All MeasurementSetting tests completed successfully!
  4.422979 seconds (1.49 M allocations: 77.204 MiB, 96.71% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.5331151252388149
expect_batch = 0.511970107518562 - 2.1781424265840758e-17im
expect_dense = 0.511970107518562 - 1.5274900694353032e-17im
expect_factorized = 0.5119701075185622 - 2.0413075068307644e-17im
 24.190520 seconds (13.52 M allocations: 985.922 MiB, 1.03% gc time, 96.52% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:09:06
Progress: 100%|█████████████████████████████████████████| Time: 0:02:17
Cost function 0.7786640466612607
Cost function -0.5712546230542586

Progress:  50%|████████████████████▌                    |  ETA: 0:00:07Cost function -0.5712546230542588
Cost function -0.5712546230542591

Progress: 100%|█████████████████████████████████████████| Time: 0:00:06
Cost function -0.5712546230542593
building shallow map
inversing shallow map
initial loss 0.9787611977923647
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 276.68 s: f = 0.002688331154, ‖∇f‖ = 2.8755e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
711.486310 seconds (283.37 M allocations: 15.499 GiB, 0.77% gc time, 99.55% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=63|"Qubit,Site,n=1")
Dim 2: (dim=2|id=340|"Qubit,Site,n=2")
Dim 3: (dim=2|id=617|"Qubit,Site,n=3")
Dim 4: (dim=2|id=227|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  0.08952024469196297 + 0.055557266376532466im  -0.12379411326667607 - 0.006533246497384359im
 -0.03137410264655109 + 0.08580824555864777im    0.26539146596524366 - 0.2551311034293979im

[:, :, 2, 1] =
 -0.03589147845141448 - 0.06459557389972599im  -0.21909465690980087 - 0.08236670875025173im
  -0.2331577410064377 - 0.4255836238079581im   -0.18804363166954402 - 0.1560983550215885im

[:, :, 1, 2] =
  0.12182789040443961 - 0.12524169752432227im  -0.20273489807466058 + 0.04700458627460976im
 -0.11481505229593415 + 0.2593619533976581im    0.41412682197426476 - 0.14871471419574703im

[:, :, 2, 2] =
 -0.10620173162304486 - 0.014871973619717784im  0.038672561795961985 - 0.04239565959537306im
 -0.07072044953840456 - 0.17345412553972261im   -0.16906355668996187 + 0.21870441708966498im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=63|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=63|"Qubit,Site,n=1")
Dim 3: (dim=2|id=340|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=340|"Qubit,Site,n=2")
Dim 5: (dim=2|id=617|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=617|"Qubit,Site,n=3")
Dim 7: (dim=2|id=227|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=227|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.008541977779688816 - 1.172460547645355e-16im  -0.0006975747827860951 - 0.005335494000468173im
 -0.0006975747827864181 + 0.005335494000468096im     0.013451983509072049 + 1.641174541577759e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.007000906508652762 + 0.00432169259269314im   -0.0002468339321392042 + 0.009455039693921016im
 0.0041083162647868095 - 0.026924907164640577im   -0.013174948146325464 - 0.01293742653664542im

[:, :, 1, 2, 1, 1, 1, 1] =
   -0.007000906508652821 - 0.004321692592693048im   0.004108316264786734 + 0.026924907164640202im
 -0.00024683393213959984 - 0.009455039693921164im  -0.013174948146325428 + 0.012937426536645346im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.012089986739509746 - 1.2536382923236826e-16im  -0.02516990284590724 - 0.022234637653609498im
 -0.02516990284590715 + 0.022234637653609366im     0.10412085959745676 + 1.5777301178282855e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.005920085475931485 - 0.0010189269927096882im  -0.002655402106751752 - 0.0026984142202443927im
 -0.027009740854171096 - 0.018334976440132017im   -0.030373269388069356 + 0.03210719138724386im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.012346070034455238 + 0.003263484441493455im  -0.01227502910361706 + 0.0227252772863312im
 -0.023065913957400916 - 0.008706180881220311im   0.01892432268473996 + 0.02292287282961753im

[:, :, 1, 2, 2, 1, 1, 1] =
 0.001711627036068702 + 0.0074472569265283785im  0.007469264322093371 - 0.02483845355580775im
 0.027667752230796427 + 0.03530019472196623im     0.01928661829491313 - 0.11491458542616223im

[:, :, 2, 2, 2, 1, 1, 1] =
 0.025379944822358957 + 0.006505215684933237im  -0.041370757690276976 - 0.0504448464280192im
 0.010856311877780498 + 0.003935184312645123im   0.015486846728150308 - 0.04572612067720847im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.005920085475931457 + 0.0010189269927095468im  -0.027009740854170846 + 0.01833497644013192im
 -0.002655402106751512 + 0.0026984142202444677im   -0.03037326938806928 - 0.032107191387243904im

[:, :, 2, 1, 1, 2, 1, 1] =
 0.001711627036069309 - 0.0074472569265283456im   0.02766775223079665 - 0.03530019472196682im
 0.007469264322093518 + 0.024838453555807872im   0.019286618294913547 + 0.1149145854261623im

[:, :, 1, 2, 1, 2, 1, 1] =
  -0.01234607003445527 - 0.0032634844414930393im  -0.02306591395740067 + 0.008706180881220316im
 -0.012275029103617397 - 0.022725277286331173im   0.018924322684739817 - 0.022922872829617354im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.025379944822359255 - 0.006505215684933307im  0.010856311877780661 - 0.003935184312645272im
 -0.04137075769027689 + 0.050444846428019295im  0.015486846728150126 + 0.04572612067720851im

[:, :, 1, 1, 2, 2, 1, 1] =
 0.009019118725892722 + 2.2007485442555995e-16im  0.017313445988665827 + 0.007535427367118633im
 0.017313445988665795 - 0.0075354273671185855im    0.18787590957880612 + 6.853124448984908e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.0021382990187958865 - 0.017400593496192957im  0.08506570948218779 - 0.04798110565431033im
  0.006408771045857301 + 0.015816250280453407im  0.05508239349118039 - 0.06905918937487551im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.0021382990187958275 + 0.017400593496193557im  0.0064087710458575475 - 0.015816250280453133im
   0.08506570948218768 + 0.04798110565431038im      0.0550823934911805 + 0.06905918937487568im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.06562477188045968 + 1.5685279013615844e-17im  0.007635537307580228 + 0.024622874110210462im
 0.007635537307580092 - 0.024622874110210496im     0.12742779582211194 - 2.0549161951095423e-16im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.0020017782714370365 - 0.011500444501504213im  -0.009931195963165626 - 0.008723176624873201im
  0.006353428344462327 + 0.021949455775781966im   0.006806506389710764 + 0.0035589789461977586im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.012803153110327627 + 0.008118448371502586im   0.016875248866946274 + 0.015263143449545581im
  0.022399836095558175 - 0.019240992843090117im  -0.034123502985176725 - 0.03453535281254415im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.011099240170229967 + 0.012749725332211987im  0.046699630997742506 - 0.0057757267884476085im
  0.013164084934560238 - 0.02101373413633674im   -0.08029750655000233 + 0.026292122798013795im

[:, :, 2, 2, 1, 1, 2, 1] =
 0.015122049894727863 - 0.00875953656782453im   -0.03739901866406799 - 0.019876850825011894im
 -0.03294982509464585 + 0.023120483519343593im   0.09103250779396996 + 0.02727888121181324im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.008282081530289144 + 0.0011510380283985566im   0.007597905378001671 + 0.010479212635944726im
 -0.013571361327061514 - 0.005428366969800001im   -0.006847051049763034 - 0.0030706563995878816im

[:, :, 2, 1, 2, 1, 2, 1] =
  0.001545223620948482 - 0.0013807726530053136im  -0.010007288618433547 - 0.0075841677232562806im
 -0.002291222182086822 + 0.016846248388623822im     0.02300671519582464 + 0.01422561413368416im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.00811848772273453 - 0.0019913827350084624im  -0.011904972585023935 - 0.015668653141294536im
 0.00349567488784495 + 0.01797305060183836im     0.023757879400869153 - 0.05583186687398116im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.002448027273085001 + 0.007574725433242578im  0.009939164948304685 - 0.009721262555742974im
  0.013755564375210298 - 0.024244054003740294im  -0.06704225934220596 + 0.021844523218746283im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.006043893360554145 + 0.008637137576300486im  0.012295840534633276 + 0.06185129739918005im
 -0.011435075277270217 - 0.020883466759950453im  -0.04107255726755583 - 0.0666170670968306im

[:, :, 2, 1, 1, 2, 2, 1] =
 0.000123602146584449 - 0.0021978019916504585im  0.011295194813764887 - 0.08448932709515136im
 0.006053840010999856 + 0.00845072418761202im    -0.01715365444098627 + 0.1830373051608749im

[:, :, 1, 2, 1, 2, 2, 1] =
 -0.016125995326678917 + 0.032590422062868385im  -0.005981498589846858 + 0.016307417339823216im
   0.02307762956162393 - 0.0386475279641266im     -0.04656203590353679 - 0.02702232173946883im

[:, :, 2, 2, 1, 2, 2, 1] =
 0.017265132925299735 - 0.0352534377157542im   0.05648206834448877 - 0.025603125572472324im
 -0.04243593214750851 + 0.08371620195673063im  -0.1033234347902858 + 0.04110887904922051im

[:, :, 1, 1, 2, 2, 2, 1] =
 0.0005828871361636036 + 0.0008654142936242764im   0.0180677125543762 - 0.041223439466682665im
   0.01890973433873673 + 0.0021860280489818355im  0.04777598734235747 + 0.019442466718233728im

[:, :, 2, 1, 2, 2, 2, 1] =
  0.005671391014794689 - 0.002991948613968071im    0.00782155084718195 + 0.034130480689963105im
 -0.012604315972619925 - 0.007554300397342315im  -0.035385598252303696 - 0.10472749187800562im

[:, :, 1, 2, 2, 2, 2, 1] =
 0.011165899025863318 - 0.01614091842127397im    0.03923550716270295 - 0.0042968152598425605im
 0.006283063828853333 + 0.038220759672066104im  0.022682010363995017 - 0.02242060865260305im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.0007490673336408547 + 0.0253508410879168im  -0.028133568601934666 - 0.0027399735871301914im
  0.012541421305574348 - 0.0637235598184988im    0.02747842016606874 - 0.02570752455872965im

[:, :, 1, 1, 1, 1, 1, 2] =
  0.002001778271436887 + 0.011500444501504144im  0.006353428344462622 - 0.021949455775782032im
 -0.009931195963165584 + 0.008723176624873223im  0.006806506389710802 - 0.003558978946197691im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.011099240170230737 - 0.012749725332211866im  0.013164084934560064 + 0.021013734136336587im
  0.046699630997742325 + 0.00577572678844747im   -0.08029750655000265 - 0.026292122798013993im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.012803153110327412 - 0.008118448371502739im   0.022399836095558272 + 0.019240992843089968im
   0.01687524886694621 - 0.0152631434495458im    -0.034123502985176746 + 0.03453535281254423im

[:, :, 2, 2, 1, 1, 1, 2] =
 0.015122049894727747 + 0.00875953656782424im   -0.032949825094645765 - 0.02312048351934361im
 -0.03739901866406804 + 0.019876850825011793im    0.09103250779396975 - 0.027278881211813256im

[:, :, 1, 1, 2, 1, 1, 2] =
 0.006043893360553923 - 0.008637137576301114im  -0.011435075277270782 + 0.02088346675995027im
 0.012295840534633184 - 0.06185129739918048im   -0.041072557267555806 + 0.06661706709683013im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.016125995326678414 - 0.032590422062868524im  0.023077629561624388 + 0.038647527964126266im
  -0.00598149858984683 - 0.016307417339823216im  -0.04656203590353704 + 0.027022321739468773im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.00012360214658472136 + 0.002197801991650571im   0.006053840011000279 - 0.0084507241876124im
   0.011295194813764767 + 0.08448932709515114im   -0.017153654440986495 - 0.183037305160875im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.017265132925299832 + 0.035253437715754184im  -0.04243593214750836 - 0.08371620195673057im
  0.05648206834448864 + 0.025603125572472067im  -0.10332343479028579 - 0.041108879049220226im

[:, :, 1, 1, 1, 2, 1, 2] =
 -0.00828208153028901 - 0.0011510380283991004im   -0.013571361327061483 + 0.005428366969800182im
 0.007597905378001284 - 0.01047921263594511im    -0.0068470510497633565 + 0.0030706563995881314im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.008118487722734845 + 0.0019913827350085296im  0.0034956748878454493 - 0.017973050601838632im
 -0.011904972585023292 + 0.015668653141294713im    0.023757879400869403 + 0.05583186687398144im

[:, :, 1, 2, 1, 2, 1, 2] =
 0.0015452236209487725 + 0.0013807726530055738im  -0.0022912221820863845 - 0.016846248388623676im
 -0.010007288618433814 + 0.0075841677232556075im     0.02300671519582463 - 0.014225614133684384im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.002448027273085191 - 0.007574725433242457im  0.013755564375210246 + 0.024244054003740287im
  0.009939164948304623 + 0.009721262555743224im  -0.06704225934220595 - 0.021844523218746314im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.0005828871361639175 - 0.0008654142936237989im  0.018909734338736904 - 0.0021860280489816065im
  0.018067712554376045 + 0.04122343946668279im     0.04777598734235736 - 0.019442466718233603im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.011165899025863336 + 0.016140918421273315im  0.006283063828853222 - 0.038220759672066035im
 0.039235507162703104 + 0.004296815259842385im  0.022682010363995052 + 0.02242060865260296im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.005671391014795158 + 0.002991948613968248im  -0.012604315972619934 + 0.007554300397342029im
 0.007821550847182366 - 0.03413048068996269im    -0.03538559825230348 + 0.10472749187800573im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.0007490673336406291 - 0.025350841087916583im   0.012541421305574337 + 0.06372355981849898im
 -0.028133568601934895 + 0.0027399735871302157im   0.02747842016606897 + 0.025707524558729506im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.023648718990533935 + 2.6187729709245643e-16im  -0.03421419845130648 - 0.00596648687403129im
 -0.034214198451306604 + 0.0059664868740313135im    0.07381042528122322 - 7.922204422154811e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.023322314024504822 - 0.008377167087872532im  0.011855731865793535 + 0.02394134181643807im
   0.05484983863737542 + 0.014378289495378187im  -0.04039906846259882 - 0.03905740763606268im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.023322314024504978 + 0.008377167087871801im  0.054849838637375005 - 0.014378289495378357im
  0.011855731865793919 - 0.023941341816438623im  -0.04039906846259866 + 0.03905740763606273im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.04465722818480923 - 1.4716097474544092e-17im  -0.09096671300689588 + 0.00011841661234916584im
 -0.09096671300689603 - 0.00011841661234928417im   0.19154228559387282 + 1.7854446993253373e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.009597949645886282 - 0.0070823986331085016im  -0.0021364243789084936 + 0.012966377244963355im
  0.015324646769336795 - 0.02028023676873066im      -0.03225280268830579 + 0.04267170703961622im

[:, :, 2, 1, 2, 1, 2, 2] =
 0.010165019759952558 - 0.004053730583242104im  -0.0029113171184460907 + 0.007627028849179915im
 -0.03822215678362629 + 0.007503961188932906im     0.04690593112336785 - 0.001963446290526177im

[:, :, 1, 2, 2, 1, 2, 2] =
   0.02439460661807392 + 0.007032406461103843im  -0.04867778252623377 - 0.012886239690478113im
 0.0008529534058848852 + 0.011810931053701857im  0.012190824223413244 - 0.0306750710387992im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.018575699902633042 + 0.0005099163070497727im   0.04013027620638276 - 0.006396885189214241im
   0.04375926593733415 - 0.017611485842308455im   -0.09987741764725103 + 0.03748876169005713im

[:, :, 1, 1, 1, 2, 2, 2] =
   -0.00959794964588583 + 0.007082398633108328im  0.01532464676933679 + 0.020280236768730833im
 -0.0021364243789087143 - 0.012966377244963734im   -0.032252802688306 - 0.042671707039616105im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.024394606618073092 - 0.007032406461103802im  0.0008529534058847947 - 0.011810931053701531im
 -0.04867778252623407 + 0.01288623969047796im     0.01219082422341332 + 0.030675071038799535im

[:, :, 1, 2, 1, 2, 2, 2] =
   0.010165019759952222 + 0.004053730583242179im  -0.038222156783626324 - 0.007503961188932528im
 -0.0029113171184460473 - 0.007627028849180636im   0.046905931123367745 + 0.001963446290525894im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.01857569990263312 - 0.0005099163070497844im   0.04375926593733426 + 0.017611485842308323im
  0.04013027620638284 + 0.006396885189214515im   -0.09987741764725118 - 0.03748876169005713im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.014906557223279937 - 2.619063904356529e-16im  0.0031781989515923524 - 0.00215024872990258im
 0.0031781989515921073 + 0.0021502487299025507im   0.041371461483659326 + 1.1710491251905096e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.010856151541912848 + 0.0018209206557659547im   0.010535607870742855 - 0.004517640443214635im
  0.019676240769663438 - 0.013889553840110383im   -0.029529925691848837 - 0.01999531698284149im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.010856151541912024 - 0.0018209206557656336im   0.019676240769663695 + 0.013889553840110681im
  0.010535607870742621 + 0.004517640443214165im   -0.029529925691848913 + 0.0199953169828414im

[:, :, 2, 2, 2, 2, 2, 2] =
 0.013089466679947962 - 2.276623087802815e-17im  -0.023639088577009585 + 0.0017965282021413676im
 -0.02363908857700951 - 0.0017965282021412993im    0.06882145292967569 - 1.9844241269442915e-16im
get_trace(ρ) = 0.9999999999999999 + 1.6558133592060736e-17im
get_trace_moment(ρ, 2) = 0.6256540880321165
get_trace_moment(ρ, 3) = 0.4384811320481746 - 3.284048380458593e-16im
purity_1 = 0.5292320820745321
purity_2 = 0.5292320820745329
trrho3_1 = 0.31165395062183543
trrho3_2 = 0.3116539506218369 - 1.940721888749053e-16im
purity = 0.6256540880321165
p2 = 0.6256540880321165
trrho3 = 0.4384811320481746 - 3.284048380458593e-16im
p3 = 0.20138537219699543 - 1.0007186052041206e-16im
Cost function 0.7965910722612173
Cost function -0.074294805479061
Cost function -0.07429480547906102
Cost function -0.07429480547906102
Cost function -0.07429480547906102
Cost function -0.07429480547906099
Cost function -0.07429480547906103
norm(ψ_sum_approx - ψ_sum) = 2.0402737607636687e-16
 86.699713 seconds (32.65 M allocations: 1.683 GiB, 0.63% gc time, 99.74% compilation time)
Running test_trace_moments.jl
 10.786180 seconds (4.65 M allocations: 241.277 MiB, 0.44% gc time, 99.94% compilation time)
  0.026647 seconds (1.18 k allocations: 194.852 KiB, 98.19% compilation time)
  0.273916 seconds (161.90 k allocations: 11.931 MiB, 98.44% compilation time)
dense_moments_4_batches = 1.0000000000000007 + 0.0im
dense_moments_nu_batches = 1.0000000000000007 + 0.0im
factorized_moments = 1.0000000000000004 + 0.0im
  0.528648 seconds (176.49 k allocations: 9.573 MiB, 98.97% compilation time)
  0.044395 seconds (5.19 k allocations: 1.673 MiB, 93.72% gc time)
  0.559617 seconds (345.44 k allocations: 33.892 MiB, 94.80% compilation time)
dense_moments_4_batches = 1.3857204312414 + 0.0im
dense_moments_nu_batches = 1.4054272382666726 + 0.0im
factorized_moments = 1.4054272382666744 + 0.0im
  0.160281 seconds (33.12 k allocations: 4.411 MiB, 95.16% compilation time)
  0.006724 seconds (20.41 k allocations: 7.911 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 3 equals 12960.
└ @ RandomMeas ~/.julia/packages/RandomMeas/irw8N/src/AbstractShadows.jl:116
  0.934854 seconds (5.39 M allocations: 842.056 MiB, 13.36% gc time, 10.03% compilation time)
dense_moments_4_batches = 6.631750021767488 + 0.0im
dense_moments_nu_batches = 5.012982065081869 + 0.0im
factorized_moments = 5.012982065081875 + 0.0im
  0.166230 seconds (37.25 k allocations: 5.709 MiB, 95.03% compilation time)
  0.016849 seconds (50.53 k allocations: 21.612 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/irw8N/src/AbstractShadows.jl:116
 13.478310 seconds (90.37 M allocations: 14.335 GiB, 12.43% gc time, 0.71% compilation time)
dense_moments_4_batches = -8.962135684506809 + 0.0im
dense_moments_nu_batches = -17.154624432853264 + 0.0im
factorized_moments = -17.1546244328533 + 0.0im
 29.464190 seconds (102.21 M allocations: 15.542 GiB, 6.55% gc time, 51.12% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  23m53.5s
     Testing RandomMeas tests passed 

Testing completed after 1454.16s

PkgEval succeeded after 1703.81s