Package evaluation of RandomMeas on Julia 1.13.0-DEV.1125 (fd1c6fd302*) started at 2025-09-16T14:59:03.343


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.92s


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

Installing RandomMeas...
   Resolving package versions...
   Installed RandomMeas ─ v0.3.0
    Updating `~/.julia/environments/v1.13/Project.toml`
  [a9f96d1f] + RandomMeas v0.3.0
    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
  [d1d4a3ce] + BitFlags v0.1.9
  [c3b6d118] + BitIntegers v0.3.5
  [8e7c35d0] + BlockArrays v1.7.2
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.26.0
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.31.0
  [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
  [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 v1.14.0
  [53c48c17] + FixedPointNumbers v0.8.5
  [41a02a25] + Folds v0.2.10
  [1fa38f19] + Format v1.3.7
  [f6369f11] + ForwardDiff v1.2.1
  [d9f16b24] + Functors v0.5.2
  [46192b85] + GPUArraysCore v0.2.0
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  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.17
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  [076d061b] + HashArrayMappedTries v0.2.0
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  [0d1a4710] + ITensorMPS v0.3.20
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  [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
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  [0b1a1467] + KrylovKit v0.10.1
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  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [1914dd2f] + MacroTools v0.5.16
  [739be429] + MbedTLS v1.1.9
  [442fdcdd] + Measures v0.3.2
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  [bac558e1] + OrderedCollections v1.8.1
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
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  [91a5bcdd] + Plots v1.40.20
  [aea7be01] + PrecompileTools v1.3.3
  [21216c6a] + Preferences v1.5.0
  [92933f4c] + ProgressMeter v1.11.0
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.3.0
  [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
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  [d3ce8812] + SerializedElementArrays v0.1.0
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  [992d4aef] + Showoff v1.0.3
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  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
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  [aedffcd0] + Static v1.2.0
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⌅ [30392449] + Pixman_jll v0.44.2+0
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  [d091e8ba] + Xorg_libXfixes_jll v6.0.1+0
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  [35ca27e7] + eudev_jll v3.2.14+0
  [214eeab7] + fzf_jll v0.61.1+0
  [a4ae2306] + libaom_jll v3.12.1+0
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  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.13.4+0
  [f638f0a6] + libfdk_aac_jll v2.0.4+0
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  [3fa0cd96] + REPL v1.11.0
  [9a3f8284] + Random v1.11.0
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  [4607b0f0] + SuiteSparse
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  [deac9b47] + LibCURL_jll v8.16.0+0
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  [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 10.99s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 158.84s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_LRbrsb/Project.toml`
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.20
  [9136182c] ITensors v0.9.10
  [b964fa9f] LaTeXStrings v1.4.0
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.20
  [92933f4c] ProgressMeter v1.11.0
  [a9f96d1f] RandomMeas v0.3.0
  [189a3867] Reexport v1.2.2
  [2913bbd2] StatsBase v0.34.6
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [44cfe95a] Pkg v1.13.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_LRbrsb/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
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.7.2
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.26.0
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.31.0
  [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
  [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
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  [41a02a25] Folds v0.2.10
  [1fa38f19] Format v1.3.7
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  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.17
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  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.15
  [0d1a4710] ITensorMPS v0.3.20
  [9136182c] ITensors v0.9.10
  [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
  [0b1a1467] KrylovKit v0.10.1
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.10
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [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 v0.4.10
  [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
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  [c1c5ebd0] LAME_jll v3.100.3+0
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⌅ [30392449] Pixman_jll v0.44.2+0
  [c0090381] Qt6Base_jll v6.8.2+1
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  [efcefdf7] PCRE2_jll v10.46.0+0
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  [8e850b90] libblastrampoline_jll v5.13.1+0
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  [3f19e933] p7zip_jll v17.6.0+0
        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
106.761234 seconds (97.86 M allocations: 5.179 GiB, 2.45% gc time, 99.88% compilation time: 2% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9685363636363636
overlap = 0.35530149999999994
fidelity = 0.3593803826590183
exact_fidelity = 0.3541510505533996
XEB = 0.4236190826462483
self_XEB = 0.4495678635734788
 99.355576 seconds (72.34 M allocations: 3.949 GiB, 1.40% gc time, 99.67% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.495985 seconds (5.91 M allocations: 330.181 MiB, 1.15% gc time, 98.62% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=880|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=880|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.8386843756916789 - 0.46382823099802306im   -0.2228768479868738 + 0.1783193784515283im
 0.03654881713145203 - 0.2830831575106422im   -0.03948842604951386 - 0.9575848652251291im, ITensor ord=2
Dim 1: (dim=2|id=751|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=751|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.2116582483771099 - 0.5060595322741284im   0.7829922739220225 + 0.2933046789037719im
  0.7039946778572235 + 0.45110534161892635im  0.5319747397532726 - 0.13378467990025594im, ITensor ord=2
Dim 1: (dim=2|id=481|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=481|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.47457936620395014 + 0.17014720191930563im  -0.3416345222949781 - 0.7931646790098321im
  0.8359889553600164 - 0.21667215180672486im   0.4254711059719476 + 0.27046253553961935im, ITensor ord=2
Dim 1: (dim=2|id=348|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=348|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.4245033351432732 + 0.7532030448163939im   -0.4552690468675601 + 0.21263157502086694im
 0.49439006270004937 - 0.08978060834608134im   -0.781873899535583 - 0.36904080193586997im], Index{Int64}[(dim=2|id=880|"Qubit,Site,n=1"), (dim=2|id=751|"Qubit,Site,n=2"), (dim=2|id=481|"Qubit,Site,n=3"), (dim=2|id=348|"Qubit,Site,n=4")])
┌ Warning: Measurement setting not found in the file and not provided; defaulting to nothing.
└ @ RandomMeas ~/.julia/packages/RandomMeas/QB1Bq/src/MeasurementData.jl:253
127.692885 seconds (73.05 M allocations: 3.961 GiB, 1.55% gc time, 99.81% compilation time: 4% of which was recompilation)
Running test_measurement_group.jl
 13.239184 seconds (5.27 M allocations: 348.110 MiB, 0.86% gc time, 97.56% compilation time)
Running test_measurement_probability.jl
  0.287468 seconds (234.87 k allocations: 12.796 MiB, 79.24% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_cBKxQp/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.074363 seconds (1.63 M allocations: 88.799 MiB, 93.24% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.3541510505533996
expect_batch = 0.2800075363305084 + 8.437848612803433e-19im
expect_dense = 0.28000753633050846 - 9.217989699809512e-19im
expect_factorized = 0.28000753633050834 + 6.736621963800179e-18im
 18.520255 seconds (14.35 M allocations: 1.103 GiB, 1.65% gc time, 95.38% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:51
Progress: 100%|█████████████████████████████████████████| Time: 0:01:13
Cost function 0.6408044201790234
Cost function -0.6631703835770755

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6631703835770755
Cost function -0.6631703835770756

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.6631703835770754
building shallow map
inversing shallow map
initial loss 1.0161840708378351
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 206.05 s: f = 0.011941776772, ‖∇f‖ = 2.6141e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
461.123339 seconds (308.86 M allocations: 17.460 GiB, 1.47% gc time, 99.02% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=752|"Qubit,Site,n=1")
Dim 2: (dim=2|id=39|"Qubit,Site,n=2")
Dim 3: (dim=2|id=821|"Qubit,Site,n=3")
Dim 4: (dim=2|id=440|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.18926188479854172 - 0.2954980444721945im    0.20084385140484295 - 0.41366311241810405im
  0.09435191341987971 + 0.004169639352872706im   0.1464169351228395 - 0.3821967641824797im

[:, :, 2, 1] =
 0.018198498164144705 + 0.148773659055311im     0.2707706789852541 + 0.051357241972509515im
  0.03634509286223663 + 0.05871618960747041im  0.10340300612526443 + 0.06317337334294049im

[:, :, 1, 2] =
  -0.1279896374222256 - 0.059869502212843734im  -0.22413104402046413 + 0.059401704013535964im
 -0.13115437233468288 + 0.14610173843280713im   -0.08791504836416342 - 0.05101086582582328im

[:, :, 2, 2] =
 0.13640304138412196 + 0.11774367695487044im  -0.0052515705070104906 + 0.3566703689610815im
 0.11189685284054778 + 0.16932260047817824im   -0.019496864914930197 + 0.2172867347139386im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=752|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=752|"Qubit,Site,n=1")
Dim 3: (dim=2|id=39|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=39|"Qubit,Site,n=2")
Dim 5: (dim=2|id=821|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=821|"Qubit,Site,n=3")
Dim 7: (dim=2|id=440|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=440|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.0907514452270947 - 1.6663316095425746e-16im  -0.01775669835898649 - 0.03936673638521017im
 -0.0177566983589868 + 0.0393667363852103im       0.10188944573969781 + 3.067549904838739e-16im

[:, :, 2, 1, 1, 1, 1, 1] =
 0.07005958437475222 + 0.08845117416062494im  -0.03403247147456486 - 0.0700277489204738im
 0.06670689857189327 + 0.0860994286919201im   0.024955017789542167 - 0.06224185209381574im

[:, :, 1, 2, 1, 1, 1, 1] =
  0.07005958437475227 - 0.08845117416062473im  0.06670689857189314 - 0.08609942869192036im
 -0.03403247147456443 + 0.07002774892047323im  0.02495501778954182 + 0.062241852093816066im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.18877800300651396 - 1.2630961065678034e-16im  0.13945788735075482 - 0.013509515619506375im
  0.1394578873507546 + 0.013509515619506437im     0.1340546004106335 - 6.464552963611031e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
  -0.03712486759496843 - 0.021838794162133638im   -0.020963641578012445 + 0.033111767656095956im
 -0.009646000974273837 + 0.0012531230917678731im  0.0022975043506327556 - 0.0304587158734999im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.040362542982764885 + 0.04537390129136468im   -0.005046399598456408 - 0.021179711572586673im
 -0.025593680202827165 + 0.010548109623989797im  -0.005189303706423012 + 0.0010006908524175665im

[:, :, 1, 2, 2, 1, 1, 1] =
  -0.03990853457226715 + 0.004986630019822996im   -0.05073658254466668 + 0.015477335058873895im
 0.0033144122785408493 + 0.035153555303607496im  0.0010579185546621378 + 0.009767234245169096im

[:, :, 2, 2, 2, 1, 1, 1] =
   0.04479123134494361 + 0.0869218076707776im     0.019147557259572314 + 0.06480237996753777im
 0.0033890595737400765 + 0.034832326608163634im  -0.007298397352354419 + 0.02898080686531877im

[:, :, 1, 1, 1, 2, 1, 1] =
  -0.03712486759496842 + 0.021838794162133537im   -0.00964600097427388 - 0.0012531230917679226im
 -0.020963641578012674 - 0.033111767656095886im  0.0022975043506327526 + 0.030458715873499912im

[:, :, 2, 1, 1, 2, 1, 1] =
  -0.0399085345722673 - 0.00498663001982307im   0.003314412278540955 - 0.035153555303607496im
 -0.05073658254466676 - 0.01547733505887391im  0.0010579185546621176 - 0.009767234245169088im

[:, :, 1, 2, 1, 2, 1, 1] =
 -0.04036254298276503 - 0.04537390129136485im  -0.025593680202827127 - 0.010548109623989882im
 -0.00504639959845652 + 0.02117971157258663im  -0.005189303706422838 - 0.0010006908524174635im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.044791231344943616 - 0.08692180767077767im  0.0033890595737399503 - 0.03483232660816352im
 0.019147557259572297 - 0.06480237996753778im  -0.007298397352354387 - 0.028980806865319092im

[:, :, 1, 1, 2, 2, 1, 1] =
    0.02676042774337069 + 8.165830898515435e-18im  -0.0017101518500493395 - 0.005118136301186116im
 -0.0017101518500493799 + 0.005118136301186125im     0.015589571283358316 - 2.0512713175757743e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.008448194507851873 - 0.016293237840534835im  0.017576987031381087 - 0.018014212398206338im
  0.01007935694833414 - 0.006307946788471456im  0.006289343589735767 - 0.007001899982216116im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.008448194507851914 + 0.01629323784053486im   0.010079356948334095 + 0.006307946788471292im
 0.017576987031381008 + 0.018014212398206438im  0.006289343589735718 + 0.0070018999822160834im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.06465026273062652 - 4.188817259810285e-18im  0.025528259704847737 - 0.005914838955955333im
 0.025528259704847782 + 0.005914838955955335im   0.011921197248397748 + 6.290219776305427e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.022142366402632348 - 0.010929656874348326im  0.032424940438641366 + 0.021321614363113577im
 -0.01214451186902763 - 0.048058107212105426im  -0.01595893941109612 + 0.008410970971431734im

[:, :, 2, 1, 1, 1, 2, 1] =
 0.01699131066505928 - 0.06632111363230885im   -0.06839439821889605 + 0.018103110339579585im
 0.02509106225898893 - 0.006520793930675226im  0.013234346680443154 - 0.020804089507140102im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.03140730317800184 - 0.03939931890214395im   0.0004169582579502829 - 0.020410934366330926im
 -0.05630927489085032 - 0.020056889872895722im   -0.05323431477897185 - 0.02334557691081198im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.028759445521368304 - 0.08674379794992594im   -0.05325455476235148 - 0.07211398279799491im
 0.0009547376208618417 - 0.015652610251099475im  0.014691887850154744 - 0.024444831924446648im

[:, :, 1, 1, 2, 1, 2, 1] =
  -0.04756228071108536 + 0.00924930801154697im   -0.0007735331956177215 + 0.03363662583509974im
 -0.049265212106321024 - 0.005128314722197881im    -0.01884936271099516 + 0.013879358578931838im

[:, :, 2, 1, 2, 1, 2, 1] =
  -0.07241265697169406 - 0.04293154535699364im  0.024275951749437023 + 0.015359940745025773im
 -0.050804632135014016 - 0.02865865770364185im   0.02613453606155667 + 0.0482147496363044im

[:, :, 1, 2, 2, 1, 2, 1] =
  -0.02160137625924378 + 0.038938337806886394im  -0.029297277486342373 + 0.04919129426661756im
 -0.021746642222291866 + 0.04297671377383154im   -0.039571535765792934 + 0.037586942799825745im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.11176446999293242 + 0.0629661528037651im   -0.08877742487465803 + 0.042759587299426305im
 -0.09345616360242118 + 0.02040888516244433im  -0.06846400077965809 + 0.033093665633528106im

[:, :, 1, 1, 1, 2, 2, 1] =
 -0.011489127285949509 - 0.003335207636119759im  -0.014746970715659707 + 0.01835837568490286im
  0.014973737588048144 + 0.0177874503455856im     0.003270609581112068 + 0.006348304481730416im

[:, :, 2, 1, 1, 2, 2, 1] =
   0.01933535287262345 + 0.034021510163797154im   -0.00794724419187131 - 0.00855729656347956im
 -0.015283580083988698 + 0.008003516182846275im  0.0019432974601061304 + 0.00923417364927907im

[:, :, 1, 2, 1, 2, 2, 1] =
 -0.042509338272505956 - 0.002547998333299953im  -0.017896659802000302 - 0.0006189824088352492im
  -0.01733981905966889 + 0.03087801242467627im   -0.001998400655214833 + 0.016350100770210194im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.030735546492335883 + 0.0026846190914290545im  -0.007142447160583973 + 0.01087208625939948im
 -0.018728928158419797 + 0.0025323713528323036im  -0.010536748628682157 + 0.0030284486325897544im

[:, :, 1, 1, 2, 2, 2, 1] =
 0.022799694566942537 - 0.016438846751518594im   -0.0010587766725102116 - 0.006310113742396973im
 0.026113461534452032 - 0.0036869029874310056im    0.008801058151662954 - 0.009867759079800868im

[:, :, 2, 1, 2, 2, 2, 1] =
  0.02950136154181454 + 0.0012766452858484771im    0.017397430474674746 + 0.017753330185956054im
 0.024299911265497263 - 0.009726342738162617im   -0.0037412211221578215 + 0.01581966076717887im

[:, :, 1, 2, 2, 2, 2, 1] =
  0.02600128323794453 + 0.008559396956931543im  0.015583995080082114 - 0.00116341876661283im
 0.032995452087000436 + 0.020694063895025594im  0.018907191710194934 + 0.0061198658313948015im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.00817843600774681 + 0.0756369130705914im    0.012630026175046096 + 0.027804119443343166im
 -0.0107537589937017 + 0.04038816993698458im  0.0037653222035051942 + 0.013080338442971335im

[:, :, 1, 1, 1, 1, 1, 2] =
 0.022142366402632015 + 0.010929656874348135im  -0.012144511869027397 + 0.04805810721210546im
  0.03242494043864139 - 0.021321614363113146im  -0.015958939411095673 - 0.008410970971431822im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.031407303178001694 + 0.039399318902144im     -0.05630927489085067 + 0.020056889872895712im
 0.0004169582579503731 + 0.020410934366330888im   -0.0532343147789716 + 0.023345576910811978im

[:, :, 1, 2, 1, 1, 1, 2] =
  0.01699131066505945 + 0.06632111363230886im  0.025091062258988998 + 0.006520793930675249im
 -0.06839439821889585 - 0.0181031103395796im   0.013234346680442814 + 0.02080408950714005im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.028759445521368367 + 0.0867437979499259im   0.0009547376208620742 + 0.015652610251099357im
   -0.0532545547623514 + 0.07211398279799483im   0.014691887850154666 + 0.024444831924446735im

[:, :, 1, 1, 2, 1, 1, 2] =
 -0.011489127285949655 + 0.0033352076361199915im    0.01497373758804813 - 0.017787450345585636im
  -0.01474697071565961 - 0.018358375684902853im   0.0032706095811119284 - 0.00634830448173054im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.042509338272505755 + 0.002547998333299859im     -0.01733981905966899 - 0.030878012424676266im
 -0.017896659802000326 + 0.0006189824088350549im  -0.0019984006552151157 - 0.016350100770209857im

[:, :, 1, 2, 2, 1, 1, 2] =
   0.01933535287262332 - 0.03402151016379713im   -0.015283580083988932 - 0.008003516182846199im
 -0.007947244191871311 + 0.008557296563479842im   0.001943297460106283 - 0.009234173649279032im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.030735546492336036 - 0.0026846190914290025im  -0.018728928158419818 - 0.002532371352832248im
 -0.007142447160584091 - 0.01087208625939954im    -0.010536748628682098 - 0.00302844863258973im

[:, :, 1, 1, 1, 2, 1, 2] =
  -0.047562280711085335 - 0.009249308011547143im   -0.04926521210632095 + 0.00512831472219797im
 -0.0007735331956179609 - 0.033636625835099576im  -0.018849362710994803 - 0.013879358578931597im

[:, :, 2, 1, 1, 2, 1, 2] =
 -0.021601376259243816 - 0.03893833780688613im  -0.02174664222229208 - 0.04297671377383129im
  -0.02929727748634228 - 0.04919129426661756im  -0.03957153576579296 - 0.03758694279982577im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.07241265697169415 + 0.042931545356993714im  -0.05080463213501406 + 0.0286586577036418im
 0.024275951749436735 - 0.015359940745025561im  0.026134536061556857 - 0.048214749636304594im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.11176446999293255 - 0.0629661528037648im     -0.0934561636024212 - 0.02040888516244413im
 -0.08877742487465799 - 0.042759587299426104im  -0.06846400077965822 - 0.033093665633528im

[:, :, 1, 1, 2, 2, 1, 2] =
   0.022799694566942544 + 0.016438846751518528im   0.026113461534452025 + 0.0036869029874308607im
 -0.0010587766725101769 + 0.0063101137423970475im  0.008801058151662839 + 0.009867759079800802im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.026001283237944404 - 0.00855939695693144im    0.03299545208700032 - 0.020694063895025823im
 0.015583995080082033 + 0.001163418766612816im  0.018907191710194907 - 0.0061198658313948535im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.02950136154181458 - 0.0012766452858484659im    0.024299911265497288 + 0.009726342738162658im
 0.01739743047467479 - 0.01775333018595604im    -0.0037412211221579924 - 0.015819660767178903im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.008178436007746695 - 0.0756369130705914im   -0.010753758993701769 - 0.040388169936984575im
 0.012630026175046065 - 0.02780411944334322im  0.0037653222035053157 - 0.01308033844297129im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.038080198767249614 - 1.6754961106198797e-17im  0.0018905247091790286 + 0.017271280285250896im
 0.0018905247091791284 - 0.0172712802852507im       0.027634132889478958 - 1.0872897537011685e-16im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.001964245148198778 + 0.005088609357091699im    0.0307641880596122 + 0.015465058442459713im
  0.013644760875867216 - 0.011703981188466061im  0.001604750919703819 + 0.015428223967769205im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.0019642451481988914 - 0.0050886093570913305im      0.013644760875867 + 0.011703981188466203im
    0.03076418805961247 - 0.015465058442460135im   0.0016047509197041085 - 0.015428223967769716im

[:, :, 2, 2, 1, 1, 2, 2] =
       0.06976948089855 - 2.0765853290161367e-16im  -0.001616788746060351 - 0.01888997888318697im
 -0.0016167887460606636 + 0.01888997888318677im      0.014354329463736971 + 1.1754335964133677e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.014664962976537079 + 0.009074434721726869im  -0.00010856662219745827 - 0.027051848277224417im
 -0.027808926622059138 - 0.002222756683708991im     0.009151242471514233 - 0.027686266412669972im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.006493440369561495 - 0.04183970201195911im   0.03519429766283683 - 0.031145280501417297im
  0.012940426382060154 - 0.012748366271152932im  0.02127602289725263 - 0.02023041693127825im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.007099165169532957 - 0.03747320757597572im   -0.019487286561322356 + 0.001019856243000698im
  0.004940212683322949 - 0.029136758141155645im  -0.018855147509117168 - 0.010763143469245971im

[:, :, 2, 2, 2, 1, 2, 2] =
 0.0012375103424072974 - 0.05445881047126574im   -0.006162368500678809 - 0.01942291116168394im
 0.0018165130657877406 - 0.05607164384239339im  -0.0074376364565435895 - 0.0023303606752558556im

[:, :, 1, 1, 1, 2, 2, 2] =
  -0.014664962976537013 - 0.009074434721727141im  -0.027808926622059207 + 0.0022227566837087153im
 -0.0001085666221977199 + 0.027051848277224354im   0.009151242471514172 + 0.02768626641267013im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.007099165169533099 + 0.037473207575975186im    0.004940212683323207 + 0.029136758141155197im
  -0.01948728656132228 - 0.0010198562430008995im  -0.018855147509116994 + 0.01076314346924557im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.006493440369561982 + 0.0418397020119589im    0.012940426382059663 + 0.012748366271152882im
   0.03519429766283676 + 0.031145280501416874im  0.021276022897252788 + 0.020230416931278025im

[:, :, 2, 2, 1, 2, 2, 2] =
 0.0012375103424067922 + 0.054458810471264774im  0.0018165130657874357 + 0.05607164384239293im
 -0.006162368500679087 + 0.01942291116168328im    -0.00743763645654394 + 0.002330360675255516im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.031009451560835302 + 7.821713483576689e-17im  0.028300043674750128 - 0.013964090683856808im
  0.02830004367475004 + 0.013964090683857022im    0.03640168226953913 + 1.0091203644275416e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.02414438009733608 + 0.02888386247690307im  0.035012417556459154 + 0.030109747558208978im
 0.02249242405722689 + 0.01142048568935571im  0.017807856351207695 + 0.009034492891773957im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.024144380097336025 - 0.028883862476902805im  0.022492424057226918 - 0.011420485689355652im
  0.03501241755645891 - 0.030109747558208583im  0.017807856351207924 - 0.00903449289177374im

[:, :, 2, 2, 2, 2, 2, 2] =
 0.09558819498547885 - 1.4661643510185477e-16im   0.0580235060879534 - 0.014704220433049114im
 0.05802350608795335 + 0.014704220433049026im    0.05276757577543892 - 4.5613419466372524e-17im
get_trace(ρ) = 1.0000000000000013 - 2.3316660556357044e-16im
get_trace_moment(ρ, 2) = 0.6173504494687637
get_trace_moment(ρ, 3) = 0.4260256742031441 + 0.0im
purity_1 = 0.7211851445142659
purity_2 = 0.7211851445142679
trrho3_1 = 0.5938193231665932
trrho3_2 = 0.5938193231665952 - 5.898059818321144e-17im
purity = 0.6173504494687637
p2 = 0.6173504494687637
trrho3 = 0.4260256742031441 + 0.0im
p3 = 0.26669227913805177 - 1.4224732503009818e-16im
Cost function 0.9902777889019809
Cost function -0.10509480707441415
Cost function -0.10509480707441421
Cost function -0.10509480707441413
Cost function -0.10509480707441415
Cost function -0.10509480707441417
Cost function -0.10509480707441421
norm(ψ_sum_approx - ψ_sum) = 2.674907600264426e-16
 56.168254 seconds (27.95 M allocations: 1.563 GiB, 1.28% gc time, 99.40% compilation time)
Running test_trace_moments.jl
 12.018968 seconds (7.13 M allocations: 388.681 MiB, 0.83% gc time, 99.94% compilation time)
  0.000392 seconds (833 allocations: 192.930 KiB)
  2.378336 seconds (431.63 k allocations: 24.527 MiB, 99.81% compilation time)
dense_moments_4_batches = 1.0
dense_moments_nu_batches = 0.9999999999999998
factorized_moments = 0.9999999999999988
  0.902023 seconds (340.66 k allocations: 19.268 MiB, 99.25% compilation time)
  0.002007 seconds (4.93 k allocations: 1.860 MiB)
  0.790921 seconds (423.35 k allocations: 42.755 MiB, 9.22% gc time, 86.98% compilation time)
dense_moments_4_batches = 0.5277540588124249
dense_moments_nu_batches = 0.7730798024304721
factorized_moments = 0.7730798024304717
  0.340513 seconds (133.16 k allocations: 10.160 MiB, 97.60% compilation time)
  0.006712 seconds (19.53 k allocations: 8.899 MiB)
  1.082418 seconds (5.56 M allocations: 978.166 MiB, 16.50% gc time, 8.51% compilation time)
dense_moments_4_batches = -0.34346113169700615
dense_moments_nu_batches = 2.463266367674822
factorized_moments = 2.463266367674819
  0.352268 seconds (142.70 k allocations: 11.896 MiB, 97.42% compilation time)
  0.017126 seconds (48.63 k allocations: 24.446 MiB)
 15.627164 seconds (93.73 M allocations: 16.660 GiB, 15.04% gc time, 0.60% compilation time)
dense_moments_4_batches = -1.5774046022313373
dense_moments_nu_batches = -2.5475309839701223
factorized_moments = -2.5475309839701246
 34.776097 seconds (108.27 M allocations: 18.158 GiB, 7.77% gc time, 51.77% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m27.8s
     Testing RandomMeas tests passed 

Testing completed after 956.29s

PkgEval succeeded after 1150.79s