Package evaluation of RandomMeas on Julia 1.13.0-DEV.868 (f2a8e18a98*) started at 2025-07-16T05:51:26.381


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

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.14s


################################################################################
# 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 v1.7.0
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.2
  [da1fd8a2] + CodeTracking v1.3.9
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.30.0
  [3da002f7] + ColorTypes v0.12.1
  [c3611d14] + ColorVectorSpace v0.11.0
  [5ae59095] + Colors v0.13.1
  [861a8166] + Combinatorics v1.0.3
  [bbf7d656] + CommonSubexpressions v0.3.1
  [f70d9fcc] + CommonWorldInvalidations v1.0.0
  [34da2185] + Compat v4.17.0
  [807dbc54] + Compiler v0.1.1
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.6.0
  [d38c429a] + Contour v0.6.3
  [9a962f9c] + DataAPI v1.16.0
  [864edb3b] + DataStructures v0.18.22
  [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 v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.2
  [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 v0.73.17
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.17
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.15
  [0d1a4710] + ITensorMPS v0.3.18
  [9136182c] + ITensors v0.9.7
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.4
  [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 v0.16.8
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.4.1
  [1914dd2f] + MacroTools v0.5.16
  [739be429] + MbedTLS v1.1.9
  [442fdcdd] + Measures v0.3.2
  [128add7d] + MicroCollections v0.2.0
  [e1d29d7a] + Missings v1.2.0
  [23ae76d9] + NDTensors v0.4.9
  [15e1cf62] + NPZ v0.4.3
  [77ba4419] + NaNMath v1.1.3
  [4d8831e6] + OpenSSL v1.5.0
  [77e91f04] + OptimKit v0.4.0
  [bac558e1] + OrderedCollections v1.8.1
  [65ce6f38] + PackageExtensionCompat v1.0.2
  [69de0a69] + Parsers v2.8.3
  [ccf2f8ad] + PlotThemes v3.3.0
  [995b91a9] + PlotUtils v1.4.3
  [91a5bcdd] + Plots v1.40.17
  [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
  [189a3867] + Reexport v1.2.2
  [42d2dcc6] + Referenceables v0.1.3
  [05181044] + RelocatableFolders v1.0.1
  [ae029012] + Requires v1.3.1
  [295af30f] + Revise v3.8.0
  [7e506255] + ScopedValues v1.3.0
  [6c6a2e73] + Scratch v1.3.0
  [d3ce8812] + SerializedElementArrays v0.1.0
  [efcf1570] + Setfield v1.1.2
  [992d4aef] + Showoff v1.0.3
  [777ac1f9] + SimpleBufferStream v1.2.0
  [699a6c99] + SimpleTraits v0.9.4
  [a2af1166] + SortingAlgorithms v1.2.1
  [dc90abb0] + SparseInverseSubset v0.1.2
  [276daf66] + SpecialFunctions v2.5.1
  [03a91e81] + SplitApplyCombine v1.2.3
  [171d559e] + SplittablesBase v0.1.15
  [860ef19b] + StableRNGs v1.0.3
  [aedffcd0] + Static v1.2.0
  [0d7ed370] + StaticArrayInterface v1.8.0
  [90137ffa] + StaticArrays v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.2
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.1
  [62fd8b95] + TensorCore v0.1.1
  [24d252fe] + ThreadedScans v0.1.0
  [a759f4b9] + TimerOutputs v0.5.29
  [3bb67fe8] + TranscodingStreams v0.11.3
  [28d57a85] + Transducers v0.4.84
  [9d95972d] + TupleTools v1.6.0
⌅ [7e5a90cf] + TypeParameterAccessors v0.3.10
  [5c2747f8] + URIs v1.6.1
  [1cfade01] + UnicodeFun v0.4.1
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  [41fe7b60] + Unzip v0.2.0
  [409d34a3] + VectorInterface v0.5.0
  [bd1ec220] + Zeros v0.3.0
  [a5390f91] + ZipFile v0.10.1
  [e88e6eb3] + Zygote v0.7.10
  [700de1a5] + ZygoteRules v0.2.7
  [6e34b625] + Bzip2_jll v1.0.9+0
  [83423d85] + Cairo_jll v1.18.5+0
  [ee1fde0b] + Dbus_jll v1.16.2+0
  [2702e6a9] + EpollShim_jll v0.0.20230411+1
  [2e619515] + Expat_jll v2.6.5+0
⌅ [b22a6f82] + FFMPEG_jll v4.4.4+1
  [a3f928ae] + Fontconfig_jll v2.16.0+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.0+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.0+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
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  [91d4177d] + Opus_jll v1.5.2+0
  [36c8627f] + Pango_jll v1.56.3+0
⌅ [30392449] + Pixman_jll v0.44.2+0
  [c0090381] + Qt6Base_jll v6.8.2+1
  [629bc702] + Qt6Declarative_jll v6.8.2+1
  [ce943373] + Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] + Qt6Wayland_jll v6.8.2+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.24.0+0
  [ffd25f8a] + XZ_jll v5.8.1+0
  [f67eecfb] + Xorg_libICE_jll v1.1.2+0
  [c834827a] + Xorg_libSM_jll v1.2.6+0
  [4f6342f7] + Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] + Xorg_libXau_jll v1.0.13+0
  [935fb764] + Xorg_libXcursor_jll v1.2.4+0
  [a3789734] + Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] + Xorg_libXext_jll v1.3.7+0
  [d091e8ba] + Xorg_libXfixes_jll v6.0.1+0
  [a51aa0fd] + Xorg_libXi_jll v1.8.3+0
  [d1454406] + Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] + Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] + Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] + Xorg_libxcb_jll v1.17.1+0
  [cc61e674] + Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] + Xorg_xcb_util_cursor_jll v0.1.5+0
  [12413925] + Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] + Xorg_xcb_util_jll v0.4.1+0
  [975044d2] + Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] + Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] + Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] + Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] + Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] + Xorg_xtrans_jll v1.6.0+0
  [35ca27e7] + eudev_jll v3.2.14+0
  [214eeab7] + fzf_jll v0.61.1+0
  [a4ae2306] + libaom_jll v3.11.0+0
⌅ [0ac62f75] + libass_jll v0.15.2+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.13.4+0
  [f638f0a6] + libfdk_aac_jll v2.0.4+0
  [36db933b] + libinput_jll v1.28.1+0
  [b53b4c65] + libpng_jll v1.6.50+0
  [f27f6e37] + libvorbis_jll v1.3.8+0
  [009596ad] + mtdev_jll v1.1.7+0
⌅ [1270edf5] + x264_jll v2021.5.5+0
⌅ [dfaa095f] + x265_jll v3.5.0+0
  [d8fb68d0] + xkbcommon_jll v1.9.2+0
  [0dad84c5] + ArgTools v1.1.2
  [56f22d72] + Artifacts v1.11.0
  [2a0f44e3] + Base64 v1.11.0
  [ade2ca70] + Dates v1.11.0
  [8ba89e20] + Distributed v1.11.0
  [f43a241f] + Downloads v1.7.0
  [7b1f6079] + FileWatching v1.11.0
  [9fa8497b] + Future v1.11.0
  [b77e0a4c] + InteractiveUtils v1.11.0
  [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0
  [b27032c2] + LibCURL v0.6.4
  [76f85450] + LibGit2 v1.11.0
  [8f399da3] + Libdl v1.11.0
  [37e2e46d] + LinearAlgebra v1.12.0
  [56ddb016] + Logging v1.11.0
  [d6f4376e] + Markdown v1.11.0
  [a63ad114] + Mmap v1.11.0
  [ca575930] + NetworkOptions v1.3.0
  [44cfe95a] + Pkg v1.13.0
  [de0858da] + Printf v1.11.0
  [9abbd945] + Profile v1.11.0
  [3fa0cd96] + REPL v1.11.0
  [9a3f8284] + Random v1.11.0
  [ea8e919c] + SHA v0.7.0
  [9e88b42a] + Serialization v1.11.0
  [6462fe0b] + Sockets v1.11.0
  [2f01184e] + SparseArrays v1.12.0
  [f489334b] + StyledStrings v1.11.0
  [4607b0f0] + SuiteSparse
  [fa267f1f] + TOML v1.0.3
  [a4e569a6] + Tar v1.10.0
  [8dfed614] + Test v1.11.0
  [cf7118a7] + UUIDs v1.11.0
  [4ec0a83e] + Unicode v1.11.0
  [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1
  [deac9b47] + LibCURL_jll v8.14.1+1
  [e37daf67] + LibGit2_jll v1.9.1+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.5.20
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.1+0
  [efcefdf7] + PCRE2_jll v10.45.0+0
  [bea87d4a] + SuiteSparse_jll v7.10.1+0
  [83775a58] + Zlib_jll v1.3.1+2
  [3161d3a3] + Zstd_jll v1.5.7+1
  [8e850b90] + libblastrampoline_jll v5.13.1+0
  [8e850ede] + nghttp2_jll v1.65.0+0
  [3f19e933] + p7zip_jll v17.5.0+2
        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 6.74s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 48.36s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_mr6zvz/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.17
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.8.0
  [2913bbd2] StatsBase v0.34.5
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_mr6zvz/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 v1.7.0
  [082447d4] ChainRules v1.72.5
  [d360d2e6] ChainRulesCore v1.25.2
  [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.30.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [861a8166] Combinatorics v1.0.3
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.17.0
  [807dbc54] Compiler v0.1.1
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.22
  [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 v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.2
  [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 v0.73.17
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.17
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.15
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.7
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.4
  [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 v0.16.8
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.1
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [128add7d] MicroCollections v0.2.0
  [e1d29d7a] Missings v1.2.0
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⌅ [30392449] Pixman_jll v0.44.2+0
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⌅ [0ac62f75] libass_jll v0.15.2+0
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⌅ [1270edf5] x264_jll v2021.5.5+0
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  [3f19e933] p7zip_jll v17.5.0+2
        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
107.750589 seconds (98.85 M allocations: 5.250 GiB, 2.45% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.0351484848484849
overlap = -0.0010039999999999986
fidelity = -0.000981475789205773
exact_fidelity = 9.807032299935955e-5
XEB = 0.5750913604055664
self_XEB = 0.560385420577983
 95.349061 seconds (72.31 M allocations: 3.961 GiB, 1.51% gc time, 99.63% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.434395 seconds (5.44 M allocations: 304.807 MiB, 1.58% gc time, 98.82% 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=379|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=379|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.4388966558939553 + 0.795719282388753im    0.22608750080184348 + 0.35083470618085566im
   0.417367584481806 - 0.00220193180035122im   -0.426890962298641 + 0.8022241315417467im, ITensor ord=2
Dim 1: (dim=2|id=62|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=62|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.729870690277235 - 0.5803020856727951im   0.32276029915927984 - 0.16237011462904338im
 0.09815265504365699 + 0.34771298673750656im    0.920857428472202 + 0.1465719331575005im, ITensor ord=2
Dim 1: (dim=2|id=449|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=449|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.07019285409283493 + 0.4568371043416119im  -0.5178261716277311 - 0.7198811563782184im
 -0.1507286966075902 - 0.8738728073066755im  -0.2767346270733626 - 0.3701960600107646im, ITensor ord=2
Dim 1: (dim=2|id=310|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=310|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.42985485890084285 + 0.018525482322635844im  -0.005198946412296625 - 0.9026929587297399im
  0.3046212842048293 + 0.849757306525487im       -0.3974466981436222 + 0.16478627173002836im], Index{Int64}[(dim=2|id=379|"Qubit,Site,n=1"), (dim=2|id=62|"Qubit,Site,n=2"), (dim=2|id=449|"Qubit,Site,n=3"), (dim=2|id=310|"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
120.341297 seconds (72.55 M allocations: 3.945 GiB, 1.86% gc time, 99.83% compilation time: 4% 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.
 11.832987 seconds (4.85 M allocations: 323.480 MiB, 1.26% gc time, 97.64% compilation time)
Running test_measurement_probability.jl
  0.268973 seconds (234.44 k allocations: 12.959 MiB, 82.79% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_guXI83/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.933806 seconds (1.68 M allocations: 92.303 MiB, 94.23% compilation time)
Running test_shadow_analysis.jl
exact_value = 9.807032299933838e-5
expect_batch = 0.004950895919206411 + 1.0521003521447875e-18im
expect_dense = 0.004950895919206402 - 7.68703574547884e-18im
expect_factorized = 0.00495089591920642 - 7.544118038384326e-19im
 18.558101 seconds (14.36 M allocations: 1.104 GiB, 2.28% gc time, 93.44% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:45
Progress: 100%|█████████████████████████████████████████| Time: 0:01:11
Cost function 1.1431337050731982
Cost function -0.5952492293986518

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.5952492293986519
Cost function -0.5952492293986518

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.5952492293986515
building shallow map
inversing shallow map
initial loss 1.0218237016793073
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 203.64 s: f = 0.001071383225, ‖∇f‖ = 9.2847e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
460.267329 seconds (308.76 M allocations: 17.375 GiB, 1.55% gc time, 99.14% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=648|"Qubit,Site,n=1")
Dim 2: (dim=2|id=71|"Qubit,Site,n=2")
Dim 3: (dim=2|id=331|"Qubit,Site,n=3")
Dim 4: (dim=2|id=406|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  -0.3746357667794155 - 0.04228323784787652im  0.04588346388426394 - 0.07954099454349534im
 -0.08950419540215893 - 0.02280758735312303im  0.12646848679230843 - 0.033770880243118515im

[:, :, 2, 1] =
 0.006250803415286284 - 0.08540671400451892im  -0.06646286449023131 + 0.16455000650029056im
  -0.0917208571531554 - 0.05667733238975568im  -0.10106262838743807 - 0.12118150914267546im

[:, :, 1, 2] =
  0.5121494675509395 + 0.019176223939164752im  -0.07783385350823738 - 0.18076303166121427im
 0.25006206508718326 + 0.04987962725205175im     0.2098166770515023 + 0.07303493552610299im

[:, :, 2, 2] =
  -0.1328780656182856 - 0.2732634864046726im  0.08252121666558344 + 0.08651015287450126im
 -0.10122705299881907 + 0.2140189097668871im   0.1250498490878376 - 0.3928422573787204im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=648|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=648|"Qubit,Site,n=1")
Dim 3: (dim=2|id=71|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=71|"Qubit,Site,n=2")
Dim 5: (dim=2|id=331|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=331|"Qubit,Site,n=3")
Dim 7: (dim=2|id=406|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=406|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
 0.10906429783570132 - 4.4180173659314896e-17im  0.042023776392918856 - 0.016369391437403784im
 0.04202377639291892 + 0.01636939143740367im      0.05714554464805899 - 3.274675139974701e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.01745062096831019 + 0.04521036222736683im   0.015206940323379901 + 0.05927510812160826im
  -0.0158142689299691 + 0.010545198193231414im  0.020372550722490012 - 0.021988729320756836im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.01745062096831019 - 0.04521036222736673im  -0.015814268929969153 - 0.010545198193231322im
 0.015206940323380009 - 0.05927510812160809im     0.0203725507224899 + 0.021988729320756826im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.06748116182383887 + 1.996184488484384e-17im  -0.012280270333387553 + 0.03167617077496353im
 -0.012280270333387642 - 0.03167617077496365im      0.04038582399988037 - 5.97195416733739e-18im

[:, :, 1, 1, 2, 1, 1, 1] =
 0.00577048364337688 + 0.017483367385695423im  0.0031453145097057903 - 0.01073103029208887im
 0.01437301951774831 + 0.01575421569320526im   -0.009659027439934945 + 0.02430331486339649im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.008828804799823127 - 0.044147810155897124im  -0.004109489731147659 - 0.004470815476251722im
  0.03468992104702591 + 0.043658569620913im       0.03712859790211257 + 0.02749844961294123im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.011265980469894701 - 0.009985910003353863im   0.012011877235661803 - 0.015080749085018282im
  0.018103668313892488 + 0.017442181034293614im  -0.026968347656268127 - 0.00346162677504969im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.005930169119019014 + 0.009760970368474956im   -0.01635871324562382 + 0.013856155661987703im
  0.035505781422346595 - 0.032656886628115174im  -0.001412730139616004 + 0.013289129756698567im

[:, :, 1, 1, 1, 2, 1, 1] =
    0.0057704836433769 - 0.01748336738569541im   0.014373019517748263 - 0.01575421569320529im
 0.0031453145097057418 + 0.010731030292088828im  -0.00965902743993494 - 0.024303314863396475im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.011265980469894637 + 0.009985910003353866im    0.01810366831389256 - 0.017442181034293527im
    0.0120118772356618 + 0.015080749085018273im  -0.026968347656268106 + 0.003461626775049717im

[:, :, 1, 2, 1, 2, 1, 1] =
  0.008828804799822941 + 0.044147810155897im     0.034689921047025944 - 0.04365856962091285im
 -0.004109489731147685 + 0.004470815476251736im   0.03712859790211258 - 0.027498449612941303im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.005930169119018941 - 0.00976097036847502im      0.03550578142234647 + 0.03265688662811513im
 -0.016358713245623796 - 0.013856155661987666im  -0.0014127301396160109 - 0.013289129756698558im

[:, :, 1, 1, 2, 2, 1, 1] =
   0.010342574619302042 + 6.861608203285813e-18im  -0.004730820744033968 + 0.00994552445026125im
 -0.0047308207440340325 - 0.009945524450261308im    0.022981317265162036 + 2.9511554150632257e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 -0.012550014115156452 - 0.004745916314824984im   0.0025340412156902334 - 0.012949509651734536im
 0.0012236213698268753 + 0.0034682784896512327im   0.011439881128251143 - 0.015618266362441666im

[:, :, 1, 2, 2, 2, 1, 1] =
 -0.012550014115156488 + 0.004745916314825018im  0.0012236213698269282 - 0.0034682784896511265im
 0.0025340412156901137 + 0.0129495096517346im     0.011439881128251133 + 0.015618266362441726im

[:, :, 2, 2, 2, 2, 1, 1] =
  0.023599157495434453 - 4.9311707138755515e-17im  -0.009539566719287582 - 0.011012777187478702im
 -0.009539566719287532 + 0.011012777187478824im      0.04275665011942556 + 6.210588877355133e-18im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.13685824566103708 + 0.019782645916466907im  -0.02294250071646597 + 0.0277143783599392im
 -0.06083908790709959 + 0.012996994877631979im  0.020602630571758405 + 0.02729770575700075im

[:, :, 2, 1, 1, 1, 2, 1] =
  0.01341662829279517 + 0.04494390390274526im  -0.015520244429945686 + 0.02661450567560194im
 -0.06143021269205141 - 0.01798711472176833im   -0.02911896234533483 - 0.004866884307298567im

[:, :, 1, 2, 1, 1, 2, 1] =
  0.0401926313683388 + 0.02605316427445159im    0.03942552824076068 + 0.029878555313397444im
 0.04509396173155522 - 0.014585641105057449im  0.027570767383311528 + 0.043585093123421015im

[:, :, 2, 2, 1, 1, 2, 1] =
  0.01721824422374852 + 0.019659565453870445im  -0.02368534556784911 - 0.02076115372800149im
 -0.00600258975194517 + 0.02832951328165127im   0.010675128566955072 + 0.0018918244269798639im

[:, :, 1, 1, 2, 1, 2, 1] =
 0.03920767718822896 + 0.06218487879620409im  -0.001832519813942298 + 0.009718353013470894im
 0.02487025498006028 - 0.05093531461734709im   0.022787111204711955 - 0.006076308052950195im

[:, :, 2, 1, 2, 1, 2, 1] =
 -0.01557574567422126 - 0.02204480901187601im   0.007113511890795179 - 0.01922228765637188im
 -0.02964443395135309 + 0.10273660954426049im  -0.022837659030127567 + 0.030715665268223065im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.0006496758296197812 - 0.0027128896932690797im  -0.010483701372558517 - 0.03760962910417206im
 0.0007233861929697924 - 0.016610013038081642im   -0.007815784879224897 + 0.031546806386490434im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.01350151309723963 - 0.011895753594576368im  0.020390729521694267 + 0.008384106272907007im
 0.023197984695000083 + 0.017960669426272943im  0.006721130269076369 - 0.040454559228125866im

[:, :, 1, 1, 1, 2, 2, 1] =
 -0.005062105614829983 + 0.034572057819589im     -0.027651789340933812 + 0.00837450980858739im
 -0.008671313196655008 + 0.028011459523285095im   -0.01837346701693399 - 0.017797590492775184im

[:, :, 2, 1, 1, 2, 2, 1] =
   0.004249877446049052 - 0.012104389700155725im    0.02676690631482118 + 0.013356683071532222im
 -0.0029259119282876345 + 0.008026499835904175im  -0.013229928325742955 + 0.011224021359754416im

[:, :, 1, 2, 1, 2, 2, 1] =
  -0.01986499054889847 - 0.06344678560727533im  -0.023806279811474797 + 0.049809992227831404im
 -0.006414703523644024 - 0.03903800785246307im   0.010098373825956942 + 0.01700314321865576im

[:, :, 2, 2, 1, 2, 2, 1] =
    -0.01240203383010802 + 0.01869023848722822im    0.014660351099612553 + 0.025300254606088608im
 -0.00020604634167828775 - 0.025167395221910634im  -0.030920949033095245 + 0.016804701108839644im

[:, :, 1, 1, 2, 2, 2, 1] =
   0.01680877224887529 - 0.013955606326342266im    0.021708256353021968 + 0.020260083814326868im
 -0.015224135637123801 + 0.0015452562896683206im  -0.004437264170469779 - 0.029232152967720033im

[:, :, 2, 1, 2, 2, 2, 1] =
 0.0005504883825083063 + 0.008990902801061903im   -0.019649906427588227 - 0.0033938369606474686im
  0.021831033404144353 - 0.0007957954541093727im    0.01612055583537723 + 0.03811094713065316im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.024403693922284975 + 0.030559387013327253im   0.02217013671622142 + 0.011187724523941298im
  0.028376280161332826 - 0.001962575592272208im  0.003971799942198155 - 0.027032512356836597im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.002579073185264617 - 0.0137041624210438im     -0.011827383199284336 - 0.01339387694516653im
 -0.04816622267833049 + 0.0062881273329497235im   0.014205013799130698 + 0.049661306367703294im

[:, :, 1, 1, 1, 1, 1, 2] =
  -0.1368582456610371 - 0.019782645916466945im  -0.060839087907099604 - 0.012996994877631831im
 -0.02294250071646602 - 0.027714378359939194im    0.02060263057175828 - 0.027297705757000707im

[:, :, 2, 1, 1, 1, 1, 2] =
 0.04019263136833895 - 0.026053164274451646im  0.045093961731555346 + 0.014585641105057449im
 0.03942552824076068 - 0.029878555313397448im   0.02757076738331124 - 0.04358509312342093im

[:, :, 1, 2, 1, 1, 1, 2] =
   0.01341662829279513 - 0.04494390390274519im   -0.061430212692051345 + 0.017987114721768453im
 -0.015520244429945549 - 0.026614505675601852im  -0.029118962345334887 + 0.0048668843072985635im

[:, :, 2, 2, 1, 1, 1, 2] =
   0.01721824422374847 - 0.019659565453870494im  -0.006002589751945281 - 0.02832951328165132im
 -0.023685345567849125 + 0.020761153728001535im   0.010675128566954958 - 0.001891824426979892im

[:, :, 1, 1, 2, 1, 1, 2] =
 -0.005062105614829962 - 0.03457205781958894im  -0.008671313196654963 - 0.028011459523285202im
  -0.02765178934093388 - 0.00837450980858755im  -0.018373467016933962 + 0.017797590492775163im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.019864990548898502 + 0.06344678560727533im   -0.006414703523644142 + 0.039038007852463044im
  -0.02380627981147487 - 0.049809992227831494im   0.010098373825956967 - 0.017003143218655568im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.004249877446048986 + 0.012104389700155652im  -0.0029259119282875204 - 0.008026499835904092im
  0.02676690631482115 - 0.013356683071532068im   -0.013229928325742948 - 0.011224021359754316im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.01240203383010798 - 0.018690238487228224im  -0.00020604634167825826 + 0.025167395221910614im
 0.014660351099612563 - 0.025300254606088497im    -0.030920949033095186 - 0.01680470110883956im

[:, :, 1, 1, 1, 2, 1, 2] =
   0.039207677188229095 - 0.062184878796204164im  0.024870254980060284 + 0.050935314617347086im
 -0.0018325198139422078 - 0.009718353013471041im  0.022787111204712003 + 0.006076308052950275im

[:, :, 2, 1, 1, 2, 1, 2] =
 0.0006496758296198164 + 0.0027128896932691344im  0.0007233861929697646 + 0.01661001303808163im
 -0.010483701372558454 + 0.037609629104172024im   -0.007815784879224866 - 0.031546806386490524im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.015575745674221275 + 0.02204480901187612im   -0.029644433951353084 - 0.10273660954426046im
  0.007113511890795132 + 0.019222287656372003im   -0.02283765903012755 - 0.030715665268223193im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.013501513097239641 + 0.011895753594576406im    0.02319798469500001 - 0.017960669426272998im
   0.02039072952169422 - 0.0083841062729071im    0.0067211302690764006 + 0.04045455922812581im

[:, :, 1, 1, 2, 2, 1, 2] =
  0.01680877224887516 + 0.013955606326342258im  -0.015224135637123817 - 0.0015452562896683762im
 0.021708256353022023 - 0.020260083814326778im  -0.004437264170469778 + 0.02923215296772001im

[:, :, 2, 1, 2, 2, 1, 2] =
 -0.024403693922284905 - 0.03055938701332731im    0.02837628016133295 + 0.001962575592272203im
  0.022170136716221443 - 0.011187724523941355im  0.003971799942198279 + 0.0270325123568366im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.0005504883825083826 - 0.008990902801061811im   0.021831033404144273 + 0.0007957954541094082im
  -0.01964990642758833 + 0.0033938369606473333im   0.01612055583537716 - 0.03811094713065315im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.0025790731852645354 + 0.013704162421043765im  -0.048166222678330435 - 0.006288127332949671im
 -0.011827383199284242 + 0.013393876945166569im    0.01420501379913057 - 0.04966130636770326im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.19401592385441313 + 2.0451972912495155e-18im  0.10787523253583467 - 0.004385079777518779im
 0.10787523253583453 + 0.004385079777518718im    0.08601196248530661 - 3.7490050264841964e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.027930490785393513 - 0.0512705218996426im    -0.02826144089118853 - 0.004924267127943807im
    0.0719903311826115 + 0.028695456895593108im  0.026671457373320405 + 0.01046902927553274im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.027930490785393548 + 0.051270521899642624im   0.07199033118261146 - 0.028695456895592924im
 -0.028261440891188577 + 0.004924267127943917im  0.026671457373320374 - 0.01046902927553276im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.04304703709184374 - 4.2756119675991037e-17im  -0.015112239779004423 - 0.029009775405435326im
 -0.015112239779004407 + 0.029009775405435322im      0.03909357809064819 + 1.6024545189096147e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.056127532305111145 - 0.09127318764547766im   -0.0460456195331902 - 0.03951894280041337im
 -0.026122561341048442 + 0.07168891527671165im  0.008761679075295738 + 0.0372204130513928im

[:, :, 2, 1, 2, 1, 2, 2] =
 0.027141723753137895 + 0.021576146470072933im    0.01955400705993968 - 0.005747414708137206im
  0.03729266792039663 - 0.1331338883529975im    -0.005116000807659548 - 0.0591681516036506im

[:, :, 1, 2, 2, 1, 2, 2] =
  0.04671724087437783 + 0.005168372519329944im  -0.028909200714249565 - 0.032846355943497496im
 -0.02771116714198104 - 0.03495707065598775im   -0.010309546632285055 + 0.035432240399595014im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.026544151262325455 + 0.008192927156955599im  0.013664539182358404 + 0.013834170716532684im
   0.05390084651620004 + 0.042231102216202306im  0.004146207041170341 - 0.0667923526418668im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.056127532305111305 + 0.09127318764547758im  -0.026122561341048563 - 0.0716889152767116im
  -0.04604561953319016 + 0.03951894280041356im   0.008761679075295774 - 0.03722041305139287im

[:, :, 2, 1, 1, 2, 2, 2] =
   0.04671724087437778 - 0.005168372519330026im   -0.02771116714198108 + 0.03495707065598771im
 -0.028909200714249402 + 0.032846355943497656im  -0.010309546632284993 - 0.03543224039959501im

[:, :, 1, 2, 1, 2, 2, 2] =
 0.027141723753137982 - 0.021576146470072898im    0.037292667920396476 + 0.1331338883529973im
  0.01955400705993955 + 0.0057474147081369616im  -0.005116000807659609 + 0.059168151603650736im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.026544151262325497 - 0.008192927156955562im  0.053900846516200106 - 0.04223110221620225im
  0.013664539182358377 - 0.013834170716532632im  0.004146207041170354 + 0.06679235264186673im

[:, :, 1, 1, 2, 2, 2, 2] =
   0.06929579465258304 + 6.814564259416653e-18im  -0.038082127710019224 + 0.0397595623425318im
 -0.038082127710019086 - 0.03975956234253183im      0.04850944283966008 + 6.16008775329616e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.026540811860478714 + 0.013438661132286343im  0.009772716328277697 - 0.02675067813770697im
   0.06912604807341986 + 0.05709947616793747im    -0.0752530477249209 + 0.014416402988588699im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.026540811860478634 - 0.013438661132286337im   0.06912604807341982 - 0.057099476167937493im
  0.009772716328277585 + 0.026750678137707002im  -0.07525304772492081 - 0.014416402988588872im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.018121759577964643 - 1.2537040847692718e-19im  -0.023460177336829927 + 0.035454367326922746im
 -0.023460177336829948 - 0.035454367326922746im      0.12814797360077732 - 4.924609409097181e-18im
get_trace(ρ) = 1.0000000000000007 - 6.847595573469966e-17im
get_trace_moment(ρ, 2) = 0.5801845734409572
get_trace_moment(ρ, 3) = 0.37027686016143513 - 9.257392487131699e-17im
purity_1 = 0.5246769123878491
purity_2 = 0.52467691238785
trrho3_1 = 0.33340693918160924
trrho3_2 = 0.33340693918161 - 1.5178830414797062e-17im
purity = 0.5801845734409572
p2 = 0.5801845734409572
trrho3 = 0.37027686016143513 - 9.257392487131699e-17im
p3 = 0.14502912563143008 - 1.6479873021779667e-17im
Cost function 1.2316893289358481
Cost function -0.11742979362680904
Cost function -0.117429793626809
Cost function -0.11742979362680901
Cost function -0.11742979362680898
Cost function -0.11742979362680901
Cost function -0.11742979362680905
norm(ψ_sum_approx - ψ_sum) = 3.6142246537544436e-16
 54.518984 seconds (28.03 M allocations: 1.568 GiB, 1.04% gc time, 99.41% compilation time)
Running test_trace_moments.jl
  8.498678 seconds (6.37 M allocations: 345.815 MiB, 1.21% gc time, 99.92% compilation time)
  0.000405 seconds (820 allocations: 192.258 KiB)
  1.152845 seconds (325.68 k allocations: 18.428 MiB, 99.61% compilation time)
dense_moments_4_batches = 1.0000000000000004
dense_moments_nu_batches = 1.0000000000000004
factorized_moments = 1.0000000000000007
  0.740269 seconds (345.23 k allocations: 19.542 MiB, 99.20% compilation time)
  0.001184 seconds (4.92 k allocations: 1.860 MiB)
  0.555048 seconds (422.49 k allocations: 42.740 MiB, 10.39% gc time, 84.43% compilation time)
dense_moments_4_batches = 1.1600972739280115
dense_moments_nu_batches = 1.75064748795198
factorized_moments = 1.7506474879519793
  0.320297 seconds (138.56 k allocations: 10.459 MiB, 97.59% compilation time)
  0.008794 seconds (19.52 k allocations: 8.898 MiB)
  1.236369 seconds (5.56 M allocations: 978.173 MiB, 19.49% gc time, 6.77% compilation time)
dense_moments_4_batches = -1.9438183594881313
dense_moments_nu_batches = -1.4726278017671819
factorized_moments = -1.472627801767182
  0.385194 seconds (149.34 k allocations: 12.249 MiB, 96.99% compilation time)
  0.053815 seconds (48.62 k allocations: 24.446 MiB, 58.75% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 17.039796 seconds (93.73 M allocations: 16.660 GiB, 14.90% gc time, 0.56% compilation time)
dense_moments_4_batches = -7.266638893639072
dense_moments_nu_batches = -13.974659692984046
factorized_moments = -13.974659692984032
 31.100389 seconds (107.39 M allocations: 18.110 GiB, 9.56% gc time, 40.98% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m08.6s
     Testing RandomMeas tests passed 

Testing completed after 939.86s

PkgEval succeeded after 1024.66s