Package evaluation of RandomMeas on Julia 1.13.0-DEV.626 (157b8bc303*) started at 2025-05-23T15:50:23.694


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.4s


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

Installing RandomMeas...
   Resolving package versions...
    Updating `~/.julia/environments/v1.13/Project.toml`
  [a9f96d1f] + RandomMeas v0.2.0
    Updating `~/.julia/environments/v1.13/Manifest.toml`
  [621f4979] + AbstractFFTs v1.5.0
  [7d9f7c33] + Accessors v0.1.42
  [79e6a3ab] + Adapt v4.3.0
  [66dad0bd] + AliasTables v1.1.3
  [dce04be8] + ArgCheck v2.5.0
  [4fba245c] + ArrayInterface v7.19.0
  [4c555306] + ArrayLayouts v1.11.1
  [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 v1.0.3
  [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 v0.9.6
  [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
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  [6f1432cf] + LoweredCodeUtils v3.3.0
  [1914dd2f] + MacroTools v0.5.16
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  [442fdcdd] + Measures v0.3.2
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  [23ae76d9] + NDTensors v0.4.9
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  [77ba4419] + NaNMath v1.1.3
  [4d8831e6] + OpenSSL v1.5.0
  [77e91f04] + OptimKit v0.4.0
  [bac558e1] + OrderedCollections v1.8.1
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.13
  [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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  [7e506255] + ScopedValues v1.3.0
  [6c6a2e73] + Scratch v1.2.1
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
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  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
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  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
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  [90137ffa] + StaticArrays v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.0
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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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⌅ [30392449] + Pixman_jll v0.44.2+0
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⌅ [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 v3.3.0+0
  [a4ae2306] + libaom_jll v3.11.0+0
  [0ac62f75] + libass_jll v0.15.2+0
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  [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 6.11s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 185.11s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_4xouz3/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.17
  [9136182c] ITensors v0.9.6
  [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 v0.34.5
  [e88e6eb3] Zygote v0.7.7
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_4xouz3/Manifest.toml`
  [621f4979] AbstractFFTs v1.5.0
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [dce04be8] ArgCheck v2.5.0
  [4fba245c] ArrayInterface v7.19.0
  [4c555306] ArrayLayouts v1.11.1
  [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 v1.0.3
  [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
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  [c87230d0] FFMPEG v0.4.2
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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 v0.9.6
  [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 v0.10.3
  [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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⌅ [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
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⌃ [a2964d1f] Wayland_jll v1.21.0+2
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⌅ [02c8fc9c] XML2_jll v2.13.6+1
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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
107.842158 seconds (103.99 M allocations: 5.322 GiB, 2.28% gc time, 99.91% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.0703030303030305
overlap = 0.24870850000000005
fidelity = 0.25083140450418434
exact_fidelity = 0.24276730394719828
XEB = 0.10580521348089923
self_XEB = 0.07538137928784083
102.360654 seconds (79.23 M allocations: 4.188 GiB, 2.16% gc time, 99.61% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.638415 seconds (5.66 M allocations: 304.684 MiB, 2.07% gc time, 98.74% 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=709|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=709|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.8498695271254695 + 0.3440239147747718im  0.03648435362877067 - 0.3975402179237495im
 -0.06981614137667314 - 0.3930585698465864im   0.8178968834725304 - 0.41433724799895866im, ITensor ord=2
Dim 1: (dim=2|id=681|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=681|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  0.4764257377065064 - 0.1600556010744715im   0.4200128612189126 - 0.7556387479650599im
 -0.8443169071149007 + 0.1858216386092557im  0.28988773807151014 - 0.41056592442661727im, ITensor ord=2
Dim 1: (dim=2|id=687|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=687|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.2979363249240319 - 0.9135480329496622im   -0.16443542859511556 - 0.22276653161394147im
 0.028012088824882847 + 0.27546190419771555im   -0.8346897262078017 - 0.4760557983877309im, ITensor ord=2
Dim 1: (dim=2|id=104|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=104|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.6344980684786365 - 0.15345449232264058im   0.14830985042537706 - 0.742878259306114im
  0.6136561632662247 - 0.4441734269046903im   -0.40372160045579664 - 0.5129765583752635im], Index{Int64}[(dim=2|id=709|"Qubit,Site,n=1"), (dim=2|id=681|"Qubit,Site,n=2"), (dim=2|id=687|"Qubit,Site,n=3"), (dim=2|id=104|"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
124.150970 seconds (78.97 M allocations: 4.131 GiB, 0.97% gc time, 99.82% compilation time: 5% of which was recompilation)
Running test_measurement_group.jl
We are constructing a MeasurementGroup object with measurement settings of type LocalUnitaryMeasurementSetting.
We are constructing a MeasurementGroup object with measurement settings of type Nothing.
 11.734691 seconds (5.16 M allocations: 331.469 MiB, 1.18% gc time, 97.23% compilation time)
Running test_measurement_probability.jl
  0.263802 seconds (252.48 k allocations: 13.441 MiB, 82.79% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_tMb5IT/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.944757 seconds (1.79 M allocations: 94.261 MiB, 94.38% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.2427673039471985
expect_batch = 0.26992065265076093 - 3.541397940726162e-18im
expect_dense = 0.26992065265076076 - 1.5204065088262863e-18im
expect_factorized = 0.2699206526507607 + 6.950917527245463e-18im
 18.278994 seconds (15.28 M allocations: 1.132 GiB, 2.23% gc time, 94.95% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:50
Progress: 100%|█████████████████████████████████████████| Time: 0:01:12
Cost function 0.4137486200932807
Cost function -0.8766078090742403

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.8766078090742413
Cost function -0.8766078090742405

Progress: 100%|█████████████████████████████████████████| Time: 0:00:04
Cost function -0.8766078090742406
building shallow map
inversing shallow map
initial loss 0.9642217206440016
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 201.53 s: f = 0.000001048079, ‖∇f‖ = 5.1747e-04
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
453.860937 seconds (328.96 M allocations: 18.163 GiB, 1.46% gc time, 99.12% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=806|"Qubit,Site,n=1")
Dim 2: (dim=2|id=735|"Qubit,Site,n=2")
Dim 3: (dim=2|id=994|"Qubit,Site,n=3")
Dim 4: (dim=2|id=626|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.23833325017864665 + 0.1531988954995191im  -0.08781002528971209 + 0.040709681798038314im
  0.11364563440054566 + 0.3481852082907787im  -0.13516632150601515 - 0.3539642538065914im

[:, :, 2, 1] =
  0.0331342122270694 + 0.021853829548905093im  -0.02702121808321309 - 0.31048743836518156im
 0.06276706660230602 + 0.10708232309607338im    0.21932721057877202 + 0.057952237663967274im

[:, :, 1, 2] =
 -0.10991153488970946 + 0.006494718400080059im   0.20343817947885368 - 0.2370734400565511im
 -0.04960825394546478 + 0.2910990177328789im    -0.02466252746149556 + 0.058248710458979336im

[:, :, 2, 2] =
 -0.22378207325089364 - 0.01103521774532918im  -0.018471263310444054 + 0.30601258682133864im
  -0.0125059556735761 + 0.05446957818417705im   -0.34118765707652526 - 0.04941121071338272im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=806|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=806|"Qubit,Site,n=1")
Dim 3: (dim=2|id=735|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=735|"Qubit,Site,n=2")
Dim 5: (dim=2|id=994|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=994|"Qubit,Site,n=3")
Dim 7: (dim=2|id=626|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=626|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
 0.06286460352424773 - 2.5474601540604236e-17im  0.02870819730911378 + 0.06385596694999061im
 0.02870819730911375 - 0.06385596694999039im     0.11606613854119288 - 3.5487219797560166e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 0.020256028045176802 + 0.00246783557752649im   0.0047058121495704 + 0.0232036983795382im
 -0.01853312424600288 + 0.07320095136875808im  -0.1021941300831637 + 0.007253933734509709im

[:, :, 1, 2, 1, 1, 1, 1] =
 0.020256028045176695 - 0.002467835577526488im  -0.01853312424600282 - 0.07320095136875795im
 0.004705812149570467 - 0.023203698379538066im  -0.10219413008316355 - 0.007253933734509743im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.006791876225974531 + 1.552486565768248e-17im  -0.0023512745888182667 - 0.025470826803207457im
 -0.0023512745888181414 + 0.025470826803207423im      0.10197333202918236 - 2.482045335636225e-18im

[:, :, 1, 1, 2, 1, 1, 1] =
  8.573918052275736e-5 - 0.006534292168076873im  0.013663028418473031 - 0.008453940254573139im
 0.0010931896939304208 - 0.027433893127175677im   0.02848828211539701 - 0.011250117079680629im

[:, :, 2, 1, 2, 1, 1, 1] =
 -0.006598129879914144 + 0.06012141924103032im  -0.03826279837859854 - 0.031066348521520612im
  -0.03821743475870252 - 0.0208673151188215im    0.03129027458724189 - 0.022233145395771804im

[:, :, 1, 2, 2, 1, 1, 1] =
  -0.000821617763968456 - 0.0020869051137197563im  -0.01011542970198858 + 0.00600090703825021im
 -0.0007246600663279557 - 0.008896369614148815im   -0.03236158560123069 + 0.006753244654594265im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.003189274948368632 + 0.021385545356818178im    0.06881647475993817 + 0.021297033540525596im
 -0.013577754296841436 - 0.007706168644179207im  -0.032081044873764536 + 0.042683955715277944im

[:, :, 1, 1, 1, 2, 1, 1] =
 8.573918052282584e-5 + 0.0065342921680769115im  0.001093189693930401 + 0.027433893127175795im
 0.013663028418472997 + 0.008453940254573092im   0.028488282115397116 + 0.011250117079680674im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.0008216177639684889 + 0.002086905113719596im  -0.0007246600663279167 + 0.00889636961414873im
   -0.01011542970198835 - 0.00600090703825018im    -0.032361585601230695 - 0.0067532446545939965im

[:, :, 1, 2, 1, 2, 1, 1] =
 -0.0065981298799141245 - 0.06012141924103044im  -0.03821743475870244 + 0.020867315118821384im
   -0.03826279837859855 + 0.03106634852152069im   0.03129027458724189 + 0.022233145395771817im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.0031892749483685037 - 0.021385545356818195im  -0.013577754296841587 + 0.0077061686441791824im
    0.06881647475993809 - 0.02129703354052553im   -0.032081044873764536 - 0.042683955715277964im

[:, :, 1, 1, 2, 2, 1, 1] =
 0.0027713486524767305 + 2.890451511100609e-17im   0.0028510563591941686 - 0.0001248292076562443im
  0.002851056359194136 + 0.00012482920765627173im   0.011992196810315643 - 1.920264946603678e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.0060368577793933655 - 0.006341296840461547im  -0.026496466617460246 - 0.0021142153900783555im
 0.0033592296604211466 + 0.004807558413152166im   0.008645362273975185 - 0.01707802342434622im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.006036857779393428 + 0.006341296840461529im   0.003359229660421173 - 0.0048075584131521435im
 -0.02649646661746034 + 0.0021142153900784665im  0.008645362273975329 + 0.017078023424346205im

[:, :, 2, 2, 2, 2, 1, 1] =
   0.14618389388435132 + 4.9990631795506126e-17im  -0.03280144175470862 - 0.09391461784974826im
 -0.032801441754708775 + 0.09391461784974811im      0.06798549198679787 + 4.5685619531682033e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.006739733945738174 + 0.009746900017869804im  -0.027107641271978417 + 0.03765170950434937im
  0.02540749726635253 - 0.05039606754523137im     0.03832277811767506 + 0.03773171692786925im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.05288903387632579 + 0.017433064900604815im  -0.03186753499637473 - 0.07513994157315959im
 0.011804262103803156 - 0.005485046872982777im  0.015996249609048916 + 0.01171415940963341im

[:, :, 1, 2, 1, 1, 2, 1] =
 0.004678012471337568 + 0.002265692136311133im   0.014595593295816377 - 0.028039638685699697im
 0.008894266129295064 - 0.01814037455358171im   -0.060466483625290515 - 0.0372192917260021im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.018049724093687592 + 0.008871127760840576im    0.03647662775386496 + 0.07331622367130697im
  0.003406750868822195 - 0.0025483736373877255im  -0.01285737512256736 - 0.012290422961570192im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.03809011307339102 + 0.01669891157489157im   -0.02628362650430356 + 0.03765241390883335im
 0.011258787418304276 - 0.007283100936179858im  0.017882030410860207 + 0.004893449717661064im

[:, :, 2, 1, 2, 1, 2, 1] =
 0.05700695957298696 - 0.0497981173503103im     0.10508663917707631 + 0.007415706964339028im
 0.04938760838062134 + 0.051611972533002135im  -0.03612203011461464 + 0.09187003469264977im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.014016452986284251 + 0.005401739747143053im   0.02347532473706756 - 0.050023281777459114im
 0.002929294561118787 - 0.002827185485000938im  -0.01389657427193854 - 0.008295899480311853im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.013797172750677478 - 0.01792131322434376im   -0.08391950094158519 - 0.03209252680537344im
 0.018988601936033057 + 0.013967732157617183im   0.04521849488650022 - 0.08315310408087195im

[:, :, 1, 1, 1, 2, 2, 1] =
  -0.00856892642517782 + 0.002588292587668189im  -0.004085603033393004 + 0.0032847222438239653im
 -0.004311915379453095 + 0.005410202024802437im   0.022509503320904786 + 0.010431435911498074im

[:, :, 2, 1, 1, 2, 2, 1] =
 0.004234312451389685 - 0.009403953723727383im   -0.008624565264410263 - 0.02291590854409587im
 0.001184407270955987 + 0.0023625943423691773im  0.0026249260296983754 + 0.005040974758883643im

[:, :, 1, 2, 1, 2, 2, 1] =
  -0.0409863667205598 - 0.01719957913872057im  -0.003932871172631549 + 0.02927690068264007im
 -0.11497756973681644 - 0.0286168352524305im    0.007539840218822039 + 0.08111302466829431im

[:, :, 2, 2, 1, 2, 2, 1] =
    0.06896100188970938 + 0.04243281125170163im       0.013451269564294951 - 0.05624967628724538im
 -0.0061041358827025535 - 0.0023548285050708443im  -0.00018724338416493264 + 0.005413087506902579im

[:, :, 1, 1, 2, 2, 2, 1] =
 -0.0053197122150346375 - 0.001504451817764431im   -0.006749037493848687 + 0.017002459024684356im
   0.002221527997016387 + 0.0013496976825861946im  0.0033771367883124355 + 0.004752789676209032im

[:, :, 2, 1, 2, 2, 2, 1] =
  0.014523527281445044 + 0.004921359350725185im    0.022692537337798642 + 0.02379713690983118im
 -0.009088984537296937 + 0.0076180452417506025im  -0.021604767912693827 + 0.022535923829175415im

[:, :, 1, 2, 2, 2, 2, 1] =
   0.0056503908229744385 - 0.08039611685080794im    -0.05395864767156492 + 0.014542670062598444im
 -0.00014961863503644597 - 0.004915837309237432im  -0.002769132793525513 + 0.002175771830278988im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.003437078143313857 - 0.029372319096469663im  -0.01656323830131811 + 0.009611556816853443im
 0.015271402490929875 - 0.04886004147657051im    -0.0392433057765287 + 0.0024154586128073805im

[:, :, 1, 1, 1, 1, 1, 2] =
 0.006739733945738158 - 0.009746900017869809im  0.02540749726635269 + 0.05039606754523143im
 -0.02710764127197844 - 0.037651709504349234im  0.03832277811767509 - 0.0377317169278693im

[:, :, 2, 1, 1, 1, 1, 2] =
 0.004678012471337582 - 0.0022656921363111253im   0.008894266129294899 + 0.018140374553581615im
  0.01459559329581643 + 0.028039638685699614im   -0.060466483625290404 + 0.03721929172600223im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.05288903387632589 - 0.017433064900604662im  0.011804262103803259 + 0.005485046872982711im
 -0.03186753499637459 + 0.07513994157315954im   0.015996249609048913 - 0.011714159409633405im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.018049724093687512 - 0.008871127760840513im  0.0034067508688222954 + 0.0025483736373876145im
    0.0364766277538649 - 0.07331622367130682im   -0.012857375122567388 + 0.01229042296157013im

[:, :, 1, 1, 2, 1, 1, 2] =
  -0.00856892642517779 - 0.002588292587668195im   -0.004311915379453137 - 0.00541020202480242im
 -0.004085603033392926 - 0.0032847222438239297im   0.022509503320904765 - 0.010431435911498007im

[:, :, 2, 1, 2, 1, 1, 2] =
   -0.0409863667205598 + 0.017199579138720382im  -0.11497756973681648 + 0.028616835252430348im
 -0.003932871172631521 - 0.02927690068264019im   0.007539840218822079 - 0.08111302466829433im

[:, :, 1, 2, 2, 1, 1, 2] =
  0.004234312451389672 + 0.009403953723727336im  0.0011844072709559453 - 0.0023625943423691217im
 -0.008624565264410305 + 0.022915908544095857im   0.002624926029698338 - 0.005040974758883655im

[:, :, 2, 2, 2, 1, 1, 2] =
  0.06896100188970936 - 0.04243281125170163im     -0.00610413588270247 + 0.0023548285050708686im
 0.013451269564294972 + 0.05624967628724554im  -0.00018724338416490835 - 0.005413087506902559im

[:, :, 1, 1, 1, 2, 1, 2] =
 0.038090113073390955 - 0.01669891157489165im  0.011258787418304411 + 0.007283100936179827im
 -0.02628362650430352 - 0.03765241390883322im  0.017882030410860172 - 0.00489344971766123im

[:, :, 2, 1, 1, 2, 1, 2] =
 0.014016452986284221 - 0.005401739747142896im   0.002929294561118643 + 0.002827185485001096im
   0.0234753247370674 + 0.0500232817774591im    -0.013896574271938415 + 0.008295899480311649im

[:, :, 1, 2, 1, 2, 1, 2] =
 0.057006959572987084 + 0.049798117350310325im   0.04938760838062134 - 0.051611972533002im
  0.10508663917707627 - 0.007415706964338896im  -0.03612203011461455 - 0.09187003469264989im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.013797172750677468 + 0.017921313224343715im  0.018988601936033057 - 0.01396773215761728im
 -0.08391950094158514 + 0.0320925268053734im     0.04521849488650019 + 0.08315310408087202im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.0053197122150346965 + 0.001504451817764431im   0.002221527997016405 - 0.0013496976825862067im
  -0.006749037493848666 - 0.01700245902468435im   0.0033771367883123583 - 0.004752789676209022im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.0056503908229745565 + 0.08039611685080805im   -0.00014961863503658475 + 0.004915837309237595im
  -0.05395864767156516 - 0.014542670062598389im    -0.002769132793525411 - 0.002175771830279014im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.014523527281444971 - 0.0049213593507251505im  -0.009088984537296976 - 0.007618045241750663im
 0.022692537337798767 - 0.02379713690983128im     -0.02160476791269398 - 0.02253592382917528im

[:, :, 2, 2, 2, 2, 1, 2] =
   0.00343707814331375 + 0.02937231909646969im   0.015271402490929875 + 0.048860041476570554im
 -0.016563238301318072 - 0.009611556816853634im  -0.03924330577652868 - 0.002415458612807383im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.031268981928173345 + 1.984774133524969e-17im  0.032112729948623416 + 0.011016874132860507im
  0.03211272994862342 - 0.011016874132860467im     0.0984330180955894 - 3.207777032240809e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
  -0.028613808533959756 + 0.018799496047043823im  -0.06871522258940774 - 0.02564639586471146im
 -0.0007237415569023558 - 0.007087814699998464im   0.00797810122346508 + 0.0011974243932594245im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.028613808533959763 - 0.01879949604704387im   -0.000723741556902344 + 0.007087814699998425im
   -0.0687152225894078 + 0.025646395864711385im   0.007978101223465123 - 0.0011974243932593115im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.07460908148947694 + 3.116733854448127e-17im   -0.0118502926532186 - 0.005808204385814879im
 -0.011850292653218703 + 0.005808204385814936im   0.003490745525006667 + 2.0989745897842027e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
  0.014904837444776862 + 0.018981650253420555im   0.011223318542683464 + 0.0673532141784674im
 -0.004992736199441292 - 0.004509646564432564im  0.0040064492081213965 + 0.003248686082550041im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.035967880650507454 - 0.019097881577701453im    0.019221678205213914 + 0.01728777441148138im
  0.029171205752305817 - 0.007456616788592144im  -0.0007677813725300672 + 0.05453461042940983im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.027741567006724314 - 0.04748850331822505im   0.001657825764972499 + 0.006877012737861175im
 -0.007609405371153396 + 0.006281553995956018im  0.003267385698899234 - 0.0011229037449947336im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.03290130581561911 + 0.0407642724149682im   0.017188280359112296 - 0.009709478353161247im
 -0.04286287466917069 - 0.05718052437926583im  0.005005395556777254 + 0.016762580625788007im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.014904837444776857 - 0.018981650253420603im  -0.0049927361994412155 + 0.004509646564432563im
 0.011223318542683387 - 0.06735321417846739im     0.004006449208121353 - 0.0032486860825501054im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.027741567006724324 + 0.047488503318225156im  -0.007609405371153541 - 0.0062815539959561835im
 0.0016578257649725557 - 0.006877012737861261im  0.0032673856988992577 + 0.0011229037449946824im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.03596788065050739 + 0.019097881577701568im    0.029171205752305807 + 0.007456616788592305im
 0.019221678205213887 - 0.01728777441148131im   -0.0007677813725300593 - 0.05453461042940984im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.03290130581561907 - 0.040764272414968265im   -0.04286287466917084 + 0.057180524379265706im
 0.017188280359112313 + 0.009709478353161306im  0.0050053955567772685 - 0.01676258062578806im

[:, :, 1, 1, 2, 2, 2, 2] =
   0.04822220283164209 - 3.890796390535844e-17im  0.0018719309650445965 + 0.003932293981546895im
 0.0018719309650446054 - 0.003932293981546869im   0.0038811384085395894 - 1.2489157080884023e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.007657477038976254 - 0.0193791990352545im      0.022315318657600308 - 0.003801702025898833im
  0.04389278306830528 + 0.004013552491604238im  0.00045771966261322323 + 0.016980743105034037im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.0076574770389762885 + 0.019379199035254584im     0.04389278306830526 - 0.004013552491604242im
   0.02231531865760032 + 0.003801702025898797im  0.00045771966261321943 - 0.016980743105034266im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.13263449912068845 + 2.683590536122824e-17im  -0.013979501996056916 - 0.0949255061729696im
 -0.013979501996056961 + 0.09492550617296962im      0.09083145094634319 + 1.0883986083644502e-16im
get_trace(ρ) = 0.9999999999999987 + 1.8166481662263664e-16im
get_trace_moment(ρ, 2) = 0.5828642780526678
get_trace_moment(ρ, 3) = 0.3742964170790021 + 1.457167719820518e-16im
purity_1 = 0.48396425841521395
purity_2 = 0.4839642584152142
trrho3_1 = 0.24924747513421486
trrho3_2 = 0.249247475134215 + 2.1337098754514727e-16im
purity = 0.5828642780526678
p2 = 0.5828642780526678
trrho3 = 0.3742964170790021 + 1.457167719820518e-16im
p3 = 0.11623407800733428 + 6.92737425582457e-17im
Cost function 0.9351633242090609
Cost function -0.12367154678705658
Cost function -0.1236715467870566
Cost function -0.12367154678705658
Cost function -0.12367154678705657
Cost function -0.12367154678705661
Cost function -0.12367154678705658
norm(ψ_sum_approx - ψ_sum) = 5.010438785684106e-16
 54.292664 seconds (30.59 M allocations: 1.646 GiB, 1.05% gc time, 99.40% compilation time)
Running test_trace_moments.jl
  8.851209 seconds (6.90 M allocations: 360.916 MiB, 1.69% gc time, 99.93% compilation time)
  0.000415 seconds (820 allocations: 192.258 KiB)
  1.164754 seconds (337.16 k allocations: 18.363 MiB, 99.60% compilation time)
dense_moments_4_batches = 0.9999999999999998
dense_moments_nu_batches = 0.9999999999999998
factorized_moments = 1.0000000000000004
  0.808232 seconds (373.73 k allocations: 20.452 MiB, 99.24% compilation time)
  0.001803 seconds (4.92 k allocations: 1.860 MiB)
  0.693937 seconds (448.75 k allocations: 43.698 MiB, 95.25% compilation time)
dense_moments_4_batches = 1.3654797917109844
dense_moments_nu_batches = 1.9346720033491098
factorized_moments = 1.934672003349111
  0.335671 seconds (142.95 k allocations: 10.459 MiB, 97.52% compilation time)
  0.007799 seconds (19.52 k allocations: 8.898 MiB)
  1.131329 seconds (5.56 M allocations: 978.210 MiB, 18.17% gc time, 7.99% compilation time)
dense_moments_4_batches = 11.275274382546632
dense_moments_nu_batches = 8.025681591989944
factorized_moments = 8.025681591989967
  0.346755 seconds (154.56 k allocations: 12.281 MiB, 97.33% compilation time)
  0.018461 seconds (48.62 k allocations: 24.446 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.898902 seconds (93.73 M allocations: 16.660 GiB, 14.71% gc time, 0.57% compilation time)
dense_moments_4_batches = -1.7065352927040374
dense_moments_nu_batches = -4.78900463977327
factorized_moments = -4.789004639773216
 30.237726 seconds (108.01 M allocations: 18.127 GiB, 8.91% gc time, 43.74% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m11.8s
     Testing RandomMeas tests passed 

Testing completed after 939.62s

PkgEval succeeded after 1153.05s