Package evaluation of RandomMeas on Julia 1.13.0-DEV.464 (abc56fde89*) started at 2025-05-02T05:04:26.417


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 7.64s


################################################################################
# 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 v7.18.0
  [4c555306] + ArrayLayouts v1.11.1
  [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 v1.6.3
  [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 v0.73.14
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.16
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  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.14
  [0d1a4710] + ITensorMPS v0.3.17
  [9136182c] + ITensors v0.9.5
  [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 v0.1.11
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  [1914dd2f] + MacroTools v0.5.16
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  [bac558e1] + OrderedCollections v1.8.0
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.13
  [aea7be01] + PrecompileTools v1.3.2
  [21216c6a] + Preferences v1.4.3
  [92933f4c] + ProgressMeter v1.10.4
  [43287f4e] + PtrArrays v1.3.0
  [a9f96d1f] + RandomMeas v0.2.0
  [c1ae055f] + RealDot v0.1.0
  [3cdcf5f2] + RecipesBase v1.3.4
  [01d81517] + RecipesPipeline v0.6.12
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  [42d2dcc6] + Referenceables v0.1.3
  [05181044] + RelocatableFolders v1.0.1
  [ae029012] + Requires v1.3.1
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  [6c6a2e73] + Scratch v1.2.1
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  [276daf66] + SpecialFunctions v2.5.1
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  [aedffcd0] + Static v1.2.0
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  [90137ffa] + StaticArrays v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
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  [5e0ebb24] + Strided v2.3.0
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  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
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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
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  [1a1c6b14] + gperf_jll v3.1.1+1
  [a4ae2306] + libaom_jll v3.11.0+0
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  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.11.0+0
  [f638f0a6] + libfdk_aac_jll v2.0.3+0
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⌅ [1270edf5] + x264_jll v2021.5.5+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 4.7s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 148.43s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_PWpd23/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.2
  [0d1a4710] ITensorMPS v0.3.17
  [9136182c] ITensors v0.9.5
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.13
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.7.6
  [2913bbd2] StatsBase v0.34.4
  [e88e6eb3] Zygote v0.7.7
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_PWpd23/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
  [6e4b80f9] BenchmarkTools v1.6.0
  [d1d4a3ce] BitFlags v0.1.9
  [c3b6d118] BitIntegers v0.3.5
  [8e7c35d0] BlockArrays v1.6.3
  [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
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  [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 v0.73.14
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.16
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.14
  [0d1a4710] ITensorMPS v0.3.17
  [9136182c] ITensors v0.9.5
  [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 v0.1.11
  [692b3bcd] JLLWrappers v1.7.0
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.1
  [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
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⌅ [e9f186c6] Libffi_jll v3.2.2+2
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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
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⌅ [02c8fc9c] XML2_jll v2.13.6+1
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⌅ [1270edf5] x264_jll v2021.5.5+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
104.209221 seconds (103.00 M allocations: 5.261 GiB, 2.25% gc time, 99.91% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9664272727272721
overlap = 0.0023814999999999995
fidelity = 0.0024318932176265063
exact_fidelity = 0.00011732765325471139
XEB = 1.6716556448249416
self_XEB = 1.602390235340191
101.310231 seconds (77.55 M allocations: 4.093 GiB, 1.91% gc time, 99.66% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.938293 seconds (5.59 M allocations: 300.792 MiB, 1.17% gc time, 98.81% compilation time: 5% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=405|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=405|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.3743501251931951 - 0.37356926911316907im  0.6142525226127378 - 0.5856635752767795im
 -0.28029910644915706 - 0.8010870089234352im   0.1632493330213185 + 0.5030324744248651im, ITensor ord=2
Dim 1: (dim=2|id=122|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=122|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.885326634491798 + 0.28993300079052076im   -0.346760217886959 + 0.10905483301082561im
 0.24407608793185304 - 0.26937421667990546im  0.10688311156149255 - 0.9254406491779487im, ITensor ord=2
Dim 1: (dim=2|id=890|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=890|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.2671123020256956 - 0.13043703981889476im    0.7151884775376478 + 0.6325682874972469im
 -0.4685893966105699 - 0.8319021421621415im   -0.07154450954287261 - 0.288520686267817im, ITensor ord=2
Dim 1: (dim=2|id=465|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=465|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.6457419423655959 - 0.10889807904283352im  -0.3534991708302537 + 0.6679797066326282im
  0.4326272845808286 + 0.6196710295688409im   -0.6275497142697941 + 0.1871438053188281im], Index{Int64}[(dim=2|id=405|"Qubit,Site,n=1"), (dim=2|id=122|"Qubit,Site,n=2"), (dim=2|id=890|"Qubit,Site,n=3"), (dim=2|id=465|"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
124.713620 seconds (77.37 M allocations: 4.046 GiB, 1.06% gc time, 99.83% 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.
 11.253470 seconds (4.88 M allocations: 316.872 MiB, 1.29% gc time, 97.49% compilation time)
Running test_measurement_probability.jl
  0.248737 seconds (248.85 k allocations: 13.242 MiB, 82.81% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_VxDoeh/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.706815 seconds (1.60 M allocations: 84.526 MiB, 94.20% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.0001173276532547127
expect_batch = 0.016804024668706823 + 1.6424208766331266e-18im
expect_dense = 0.01680402466870683 + 7.346384770428344e-19im
expect_factorized = 0.016804024668706778 + 1.1600428550806821e-18im
 18.115012 seconds (15.04 M allocations: 1.119 GiB, 1.60% gc time, 94.69% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:49
Progress: 100%|█████████████████████████████████████████| Time: 0:01:12
Cost function 0.49158608286376865
Cost function -0.6110881911082455

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6110881911082456
Cost function -0.6110881911082459

Progress: 100%|█████████████████████████████████████████| Time: 0:00:04
Cost function -0.6110881911082456
building shallow map
inversing shallow map
initial loss 0.9642315710051008
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 201.35 s: f = 0.001841216642, ‖∇f‖ = 7.1078e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
452.448527 seconds (324.78 M allocations: 17.819 GiB, 1.41% gc time, 99.20% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=212|"Qubit,Site,n=1")
Dim 2: (dim=2|id=884|"Qubit,Site,n=2")
Dim 3: (dim=2|id=272|"Qubit,Site,n=3")
Dim 4: (dim=2|id=836|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.03536315769604148 + 0.006326998880418419im  0.058520966909204004 + 0.05468516869207704im
 -0.13376625413038953 - 0.038691134444171875im   -0.3623932923646245 + 0.023871412445528775im

[:, :, 2, 1] =
   0.01294673234161768 + 0.10305474038131116im   0.1868091655255781 + 0.021732087544126314im
 -0.028120703266693612 + 0.09675425292961579im  0.37206662411907826 - 0.17035727198202233im

[:, :, 1, 2] =
  0.2663735947534567 + 0.47366079181118503im   0.04629870001873784 - 0.08064035906393144im
 0.11414035629829483 + 0.23152321378164098im  -0.21097078159348556 - 0.3850060353930635im

[:, :, 2, 2] =
  0.07954561177956626 - 0.04671716435591152im   0.07270856873278536 + 0.05274239418374025im
 0.005290491031132393 - 0.06200824589458909im  0.012584601365574266 - 0.18249662941399442im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=212|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=212|"Qubit,Site,n=1")
Dim 3: (dim=2|id=884|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=884|"Qubit,Site,n=2")
Dim 5: (dim=2|id=272|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=272|"Qubit,Site,n=3")
Dim 7: (dim=2|id=836|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=836|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.01307252570218829 + 6.839291009597443e-17im  -0.003187027566953831 - 0.018617099112656847im
 -0.003187027566953878 + 0.018617099112656965im     0.04079869205547259 + 5.789167921560908e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.004808778558670158 - 0.005806769720125726im  -0.010969695261723575 + 0.003697118683495337im
  0.007572500113343667 - 0.006805556462352351im   0.023101756225154927 - 0.005875342145432616im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.004808778558670074 + 0.0058067697201255875im  0.007572500113343808 + 0.0068055564623523855im
 -0.010969695261723388 - 0.003697118683495364im   0.023101756225154715 + 0.005875342145432419im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.007002354003484305 + 3.0434329306471055e-17im  -0.010791403710042497 - 0.016646627271600024im
 -0.01079140371004215 + 0.016646627271600052im      0.09753974986780185 - 2.4074397663030542e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
  -0.016449691345100118 + 0.005049616678774994im     0.0153599245032919 + 0.009980380679921996im
 -0.0031361217578651747 - 0.019876509674497507im  -0.022464073907089478 + 0.005307925429237601im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.011232972816696815 + 0.008479755803581498im  -0.000787235340913816 + 0.007309425114730262im
  -0.02768408091167642 + 0.007062546153220472im  -0.014710635356549725 + 0.04854343804961643im

[:, :, 1, 2, 2, 1, 1, 1] =
 0.006745764313756191 - 0.004256910315025315im  -0.004433283124422645 - 0.03796284063239219im
  0.00988066454756862 + 0.00878332447535604im    0.020590141454173608 - 0.024636212919106767im

[:, :, 2, 2, 2, 1, 1, 1] =
 0.007076324343852419 - 0.011485843264415749im  -0.05252332514095304 - 0.014159674023684165im
 0.012417153865279333 - 0.02865803362877632im   -0.09792817076751924 + 0.025056743487961164im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.016449691345100156 - 0.005049616678774892im  -0.0031361217578652336 + 0.019876509674497556im
  0.015359924503292002 - 0.009980380679922064im    -0.02246407390708943 - 0.005307925429237641im

[:, :, 2, 1, 1, 2, 1, 1] =
  0.006745764313756241 + 0.0042569103150252975im   0.00988066454756843 - 0.008783324475356074im
 -0.004433283124422473 + 0.03796284063239218im    0.020590141454173632 + 0.024636212919106844im

[:, :, 1, 2, 1, 2, 1, 1] =
  -0.011232972816696917 - 0.008479755803581514im  -0.027684080911676352 - 0.007062546153220651im
 -0.0007872353409139571 - 0.007309425114730339im  -0.014710635356549713 - 0.04854343804961662im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.007076324343852315 + 0.011485843264415464im  0.012417153865279593 + 0.02865803362877629im
 -0.05252332514095307 + 0.014159674023684364im  -0.09792817076751947 - 0.025056743487961244im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.034975689026759293 - 8.361758969191718e-17im  0.0014525237274214103 - 0.02958238290755056im
 0.0014525237274214523 + 0.029582382907550622im    0.034070209720631774 - 4.2703126808163994e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.018594500017115562 - 0.022477889056766398im  -0.014101412689582602 - 0.02622751998068295im
 0.018060505494127542 - 0.023357489518462816im   -0.01915869924031791 - 0.0490551101590696im

[:, :, 1, 2, 2, 2, 1, 1] =
  0.018594500017115604 + 0.02247788905676651im    0.01806050549412747 + 0.02335748951846285im
 -0.014101412689582413 + 0.026227519980682873im  -0.01915869924031793 + 0.04905511015906958im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.03641809300746847 + 3.723246797769069e-17im  0.05946043982238156 + 0.01607743466577749im
  0.0594604398223815 - 0.01607743466577739im    0.14467879856518037 + 4.769298792880664e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.0074327700496475595 - 0.007848667472929071im  -0.02915278587614574 - 0.03564762208813624im
 -0.0001688511452223023 - 0.00399293728981337im   -0.01465950285333944 - 0.02204194262585956im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.015505825021431979 - 0.013208123210130672im  -0.015907093323379876 + 0.036241498746638554im
  0.016245598097632166 - 0.013375376003833733im  -0.009871127337669811 + 0.02488048652474018im

[:, :, 1, 2, 1, 1, 2, 1] =
 0.028170259373727954 + 0.006697852825455234im  -0.06254358940701295 - 0.12711910489662256im
  0.01228219309480035 + 0.005012994198954101im    -0.026729233881547 - 0.059868127269355614im

[:, :, 2, 2, 1, 1, 2, 1] =
 0.008124074528939155 - 0.005461359401892271im  -0.001723516128483829 + 0.012538782511775537im
  -0.0189319298865631 + 0.003748113872010876im   0.060830831219197884 + 0.11231725133992522im

[:, :, 1, 1, 2, 1, 2, 1] =
   -0.01333296197021016 - 0.0026184984632352283im  -0.005182551298070609 + 0.023955697124087877im
 -0.0034474036916377817 - 0.003590479838736827im    -0.00438992102592262 + 0.012868214573380703im

[:, :, 2, 1, 2, 1, 2, 1] =
 0.009699791176867846 - 0.012872187664314319im  -0.02986429508475439 - 0.01292347877560793im
 0.013419398938494982 + 0.014946750877417786im   0.01090999639447232 - 0.008412992637986453im

[:, :, 1, 2, 2, 1, 2, 1] =
  0.005952521175303024 - 0.007790625272639025im  -0.017381182062140604 + 0.003775536137169383im
 0.0005018469894724018 - 0.002280668435488648im  0.0012761709568482652 + 0.014317504439563096im

[:, :, 2, 2, 2, 1, 2, 1] =
  0.005537706580777648 + 0.00658863395548417im   -0.011729869061234827 - 0.00596533898921461im
 -0.014387770595166228 - 0.006050720552869341im  -0.014776233032834001 + 0.05413136417553202im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.04376750398057133 - 0.019966232316153514im    0.0205497302576753 - 0.03338376431003208im
 0.016924883514091525 - 0.010220254502666594im  0.009616465627371968 - 0.010713517243915645im

[:, :, 2, 1, 1, 2, 2, 1] =
  0.004247849179585445 + 0.02518396703088837im  0.020230275044918533 - 0.01655530041986687im
 -0.062036074073994835 + 0.036212520565085im     0.00811213939420291 + 0.04862944704963698im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.04774687304704223 + 0.05747674015748906im     0.01903506539964845 + 0.14885052344048216im
 0.01936424743089222 + 0.025983163842375707im  0.0005715981113341246 + 0.07004126707651637im

[:, :, 2, 2, 1, 2, 2, 1] =
 0.00040796616699485247 + 0.008343278859938692im   0.036525452326047404 + 0.011529259828265989im
   -0.05974509109002783 - 0.0442985224768849im    -0.036371064652746844 - 0.0954179794862504im

[:, :, 1, 1, 2, 2, 2, 1] =
   0.01040307695345496 + 0.005524198788059321im  0.004128286077157026 - 0.019411122856395267im
 -0.003490137844760483 + 0.007924270786744386im  0.004142656763672467 - 0.0017521788001311322im

[:, :, 2, 1, 2, 2, 2, 1] =
  -0.01796729779102976 + 0.0034687589629102985im  0.014464722807516688 + 0.014273856405880515im
 -0.026268659105736135 - 0.026001411586988227im   -0.03286774912977129 + 0.020103889722294592im

[:, :, 1, 2, 2, 2, 2, 1] =
  0.013069455397512583 + 0.0035929045953265637im   0.04127021962559516 + 0.006421789652413294im
 -0.002703147148270031 - 0.0029170909450913843im  0.011317673232776864 - 0.006966778019620414im

[:, :, 2, 2, 2, 2, 2, 1] =
  -0.004994254175554875 + 0.0028718932327167616im  -0.007909196758993289 + 0.0346203489507598im
 -0.0006588098824435538 - 0.041595337780917105im    0.007741414123377015 - 0.06666540610854048im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.007432770049647564 + 0.007848667472929106im  -0.0001688511452225313 + 0.003992937289813394im
  -0.02915278587614545 + 0.03564762208813626im    -0.014659502853339343 + 0.022041942625859564im

[:, :, 2, 1, 1, 1, 1, 2] =
 0.028170259373727694 - 0.00669785282545528im   0.012282193094800036 - 0.005012994198954224im
 -0.06254358940701263 + 0.12711910489662231im  -0.026729233881547056 + 0.05986812726935555im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.015505825021432048 + 0.013208123210130533im   0.016245598097631722 + 0.013375376003833706im
  -0.01590709332337972 - 0.03624149874663858im   -0.009871127337669889 - 0.024880486524740047im

[:, :, 2, 2, 1, 1, 1, 2] =
   0.008124074528939202 + 0.005461359401892269im  -0.01893192988656347 - 0.003748113872010625im
 -0.0017235161284838239 - 0.01253878251177567im   0.060830831219198155 - 0.11231725133992529im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.04376750398057122 + 0.019966232316153316im  0.016924883514091472 + 0.010220254502666379im
 0.020549730257675217 + 0.03338376431003199im   0.009616465627371914 + 0.010713517243915529im

[:, :, 2, 1, 2, 1, 1, 2] =
  0.04774687304704229 - 0.057476740157488895im   0.019364247430892143 - 0.025983163842375895im
 0.019035065399648447 - 0.14885052344048205im   0.0005715981113342547 - 0.07004126707651612im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.004247849179585376 - 0.02518396703088837im   -0.06203607407399484 - 0.03621252056508507im
 0.020230275044918436 + 0.016555300419867098im  0.008112139394202926 - 0.0486294470496372im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.00040796616699482775 - 0.008343278859938802im  -0.05974509109002797 + 0.04429852247688509im
   0.036525452326047196 - 0.011529259828266058im  -0.03637106465274683 + 0.09541797948625055im

[:, :, 1, 1, 1, 2, 1, 2] =
  -0.013332961970210262 + 0.0026184984632352665im  -0.0034474036916378008 + 0.003590479838736808im
 -0.0051825512980706555 - 0.023955697124088023im    -0.004389921025922592 - 0.012868214573380683im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.005952521175303102 + 0.007790625272638933im   0.0005018469894723012 + 0.0022806684354884452im
 -0.017381182062140395 - 0.0037755361371695044im  0.0012761709568484508 - 0.014317504439562832im

[:, :, 1, 2, 1, 2, 1, 2] =
 0.009699791176868006 + 0.012872187664314187im  0.013419398938495242 - 0.014946750877417772im
 -0.02986429508475436 + 0.012923478775608123im  0.010909996394472293 + 0.008412992637986488im

[:, :, 2, 2, 1, 2, 1, 2] =
  0.005537706580777553 - 0.006588633955484183im    -0.01438777059516645 + 0.006050720552869409im
 -0.011729869061234934 + 0.0059653389892143915im  -0.014776233032834235 - 0.054131364175532104im

[:, :, 1, 1, 2, 2, 1, 2] =
  0.01040307695345499 - 0.00552419878805922im   -0.0034901378447605015 - 0.007924270786744415im
 0.004128286077157015 + 0.019411122856395152im    0.004142656763672476 + 0.0017521788001312515im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.013069455397512798 - 0.0035929045953265884im  -0.0027031471482701335 + 0.0029170909450913383im
  0.04127021962559513 - 0.006421789652413594im     0.011317673232776904 + 0.006966778019620613im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.017967297791029735 - 0.0034687589629102756im  -0.026268659105736145 + 0.02600141158698825im
  0.014464722807516667 - 0.014273856405880457im    -0.03286774912977127 - 0.02010388972229441im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.004994254175554798 - 0.002871893232716904im  -0.0006588098824435204 + 0.04159533778091702im
 -0.007909196758993304 - 0.03462034895075983im     0.007741414123377115 + 0.06666540610854037im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.2095261021274783 - 6.476833627585428e-17im  0.09858582408297803 - 0.004106275163306955im
 0.09858582408297847 + 0.004106275163306596im   0.04727407464389145 - 5.3487116712398594e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.020957314416944064 - 0.020949593484183016im   -0.014012451162600102 - 0.013375246608032512im
  -0.17996861122959357 - 0.0013740982023534047im   -0.08194219989418172 - 0.0021125975753747616im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.020957314416944105 + 0.020949593484183085im  -0.17996861122959387 + 0.001374098202353021im
 -0.014012451162599726 + 0.013375246608032576im  -0.08194219989418214 + 0.0021125975753748184im

[:, :, 2, 2, 1, 1, 2, 2] =
 0.040652410470879564 - 3.7351287432219e-17im  0.029634220866582687 - 0.01873408961057657im
  0.02963422086658268 + 0.01873408961057652im    0.1949350438475503 + 1.6891733416736177e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.0006128927051089922 - 0.029623700589359807im  -0.0033423276814264157 - 0.01502593529311148im
  -0.02095892433707294 - 0.010821192929336873im   -0.010975197130312022 - 0.0059348077867878im

[:, :, 2, 1, 2, 1, 2, 2] =
 0.023653955931015273 - 0.016240381941507506im   0.013793922316036445 - 0.01115410337313605im
 -0.05731475002898919 - 0.04677235945360281im   -0.024688930505727544 - 0.017895995115589574im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.022271688306498446 - 0.006837245010404692im   -0.004121227177779302 + 0.0028997348742319747im
 0.013460405511277748 + 0.0004104813922983835im   0.022743839813942148 - 0.0007124659679839417im

[:, :, 2, 2, 2, 1, 2, 2] =
 0.00027544485828269623 + 0.032638512124248606im   0.008860904782498425 + 0.02211606112265156im
    -0.0189436501546876 + 0.0006517023563711301im   0.04199163431346581 + 0.06979277932585701im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.0006128927051092271 + 0.02962370058935975im    -0.02095892433707295 + 0.010821192929336948im
 -0.003342327681426433 + 0.015025935293111485im  -0.010975197130311894 + 0.00593480778678771im

[:, :, 2, 1, 1, 2, 2, 2] =
  0.022271688306498182 + 0.006837245010404759im  0.013460405511277616 - 0.00041048139229839307im
 -0.004121227177779395 - 0.002899734874231766im  0.022743839813942294 + 0.00071246596798387im

[:, :, 1, 2, 1, 2, 2, 2] =
  0.02365395593101523 + 0.0162403819415074im   -0.057314750028989316 + 0.04677235945360296im
 0.013793922316036593 + 0.01115410337313603im  -0.024688930505727402 + 0.017895995115589543im

[:, :, 2, 2, 1, 2, 2, 2] =
 0.00027544485828251517 - 0.03263851212424856im  -0.018943650154687703 - 0.000651702356371106im
   0.008860904782498468 - 0.02211606112265143im    0.04199163431346576 - 0.06979277932585712im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.01714864258401283 + 1.6377753755138623e-17im  0.006546169714521454 - 0.0005424016488793302im
 0.006546169714521541 + 0.0005424016488794877im   0.005610511404794022 - 3.221674614874032e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.004842624173396682 + 0.018792485643829817im  -0.00012174908552742727 + 0.01088539966130577im
 -0.009610117161316833 - 0.015273838439226995im    -6.212808105268286e-5 + 0.003345250777332933im

[:, :, 1, 2, 2, 2, 2, 2] =
   -0.004842624173396699 - 0.018792485643829966im  -0.009610117161316597 + 0.015273838439227187im
 -0.00012174908552724222 - 0.010885399661305696im  -6.212808105260176e-5 - 0.003345250777333256im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.026468064636173825 + 7.55779901132051e-17im  -0.002325324996215225 - 0.013388440802990753im
 -0.0023253249962151656 + 0.013388440802991059im    0.04982903833623391 - 1.492601414771278e-16im
get_trace(ρ) = 1.000000000000001 - 1.3698689039980698e-16im
get_trace_moment(ρ, 2) = 0.6053201816981437
get_trace_moment(ρ, 3) = 0.4079802725472159 - 6.938893903907228e-17im
purity_1 = 0.5950943623362327
purity_2 = 0.5950943623362333
trrho3_1 = 0.41604429514252533
trrho3_2 = 0.4160442951425256 + 4.3225615957692004e-16im
purity = 0.6053201816981437
p2 = 0.6053201816981437
trrho3 = 0.4079802725472159 - 6.938893903907228e-17im
p3 = 0.20814681034924506 + 8.066464163292153e-17im
Cost function 1.1736094660693588
Cost function -0.10890549351901087
Cost function -0.10890549351901087
Cost function -0.10890549351901088
Cost function -0.10890549351901087
Cost function -0.10890549351901087
Cost function -0.10890549351901085
norm(ψ_sum_approx - ψ_sum) = 1.975148562412305e-16
 53.411340 seconds (29.81 M allocations: 1.603 GiB, 0.92% gc time, 99.58% compilation time)
Running test_trace_moments.jl
  8.690476 seconds (6.73 M allocations: 354.806 MiB, 1.00% gc time, 99.92% compilation time)
  0.000436 seconds (830 allocations: 192.727 KiB)
  1.292432 seconds (396.12 k allocations: 24.834 MiB, 99.64% compilation time)
dense_moments_4_batches = 0.9999999999999994
dense_moments_nu_batches = 0.9999999999999994
factorized_moments = 1.0000000000000004
  0.817454 seconds (363.25 k allocations: 19.815 MiB, 99.24% compilation time)
  0.001830 seconds (4.98 k allocations: 1.863 MiB)
  0.679620 seconds (441.58 k allocations: 43.337 MiB, 95.41% compilation time)
dense_moments_4_batches = 2.5876815352310416
dense_moments_nu_batches = 2.9335417956339436
factorized_moments = 2.933541795633944
  0.330216 seconds (140.41 k allocations: 10.293 MiB, 97.50% compilation time)
  0.067334 seconds (19.70 k allocations: 8.910 MiB, 88.25% gc time)
  1.041592 seconds (5.59 M allocations: 979.777 MiB, 15.34% gc time, 8.67% compilation time)
dense_moments_4_batches = 10.01432964177941
dense_moments_nu_batches = 5.3584066125611685
factorized_moments = 5.358406612561178
  0.322998 seconds (151.85 k allocations: 12.113 MiB, 97.25% compilation time)
  0.016890 seconds (48.98 k allocations: 24.471 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.077158 seconds (94.05 M allocations: 16.683 GiB, 14.72% gc time, 0.57% compilation time)
dense_moments_4_batches = 41.02225944528117
dense_moments_nu_batches = 15.597623476720164
factorized_moments = 15.597623476720182
 29.375087 seconds (108.21 M allocations: 18.150 GiB, 8.60% gc time, 44.98% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m03.9s
     Testing RandomMeas tests passed 

Testing completed after 932.12s

PkgEval succeeded after 1105.89s