Package evaluation of RandomMeas on Julia 1.13.0-DEV.974 (7bbb213719*) started at 2025-08-13T05:48:28.658


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.45s


################################################################################
# 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 v1.11.2
  [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 v1.26.0
  [da1fd8a2] + CodeTracking v2.0.0
  [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 v4.18.0
  [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 v0.19.0
  [e2d170a0] + DataValueInterfaces v1.0.0
  [244e2a9f] + DefineSingletons v0.1.2
  [8bb1440f] + DelimitedFiles v1.9.1
  [85a47980] + Dictionaries v0.4.5
  [163ba53b] + DiffResults v1.1.0
  [b552c78f] + DiffRules v1.15.1
  [ffbed154] + DocStringExtensions v0.9.5
  [da5c29d0] + EllipsisNotation v1.8.0
  [460bff9d] + ExceptionUnwrapping v0.1.11
  [e2ba6199] + ExprTools v0.1.10
  [e189563c] + ExternalDocstrings v0.1.1
  [c87230d0] + FFMPEG v0.4.4
  [5789e2e9] + FileIO v1.17.0
  [1a297f60] + FillArrays v1.13.0
  [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 v0.3.19
  [9136182c] + ITensors v0.9.9
  [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 v1.7.1
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.5
  [0b1a1467] + KrylovKit v0.10.0
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.9
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.4.3
  [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 v1.40.18
  [aea7be01] + PrecompileTools v1.3.2
  [21216c6a] + Preferences v1.5.0
  [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 v3.9.0
  [7e506255] + ScopedValues v1.4.0
  [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 v0.9.5
  [a2af1166] + SortingAlgorithms v1.2.2
  [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 v1.9.14
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.6
  [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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  [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 v7.1.1+0
  [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
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [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 v3.12.1+0
  [0ac62f75] + libass_jll v0.17.4+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 v10164.0.1+0
  [dfaa095f] + x265_jll v4.1.0+0
  [d8fb68d0] + xkbcommon_jll v1.9.2+0
  [0dad84c5] + ArgTools v1.1.2
  [56f22d72] + Artifacts v1.11.0
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  [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 v1.13.0
  [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 v1.13.0
  [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 v8.15.0+1
  [e37daf67] + LibGit2_jll v1.9.1+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.7.15
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.2+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 6.93s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 198.99s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_xzWUSi/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.19
  [9136182c] ITensors v0.9.9
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.18
  [92933f4c] ProgressMeter v1.10.4
  [a9f96d1f] RandomMeas v0.2.0
  [189a3867] Reexport v1.2.2
  [295af30f] Revise v3.9.0
  [2913bbd2] StatsBase v0.34.6
  [e88e6eb3] Zygote v0.7.10
  [37e2e46d] LinearAlgebra v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_xzWUSi/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 v1.11.2
  [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 v1.26.0
  [da1fd8a2] CodeTracking v2.0.0
  [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 v4.18.0
  [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 v0.19.0
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [8bb1440f] DelimitedFiles v1.9.1
  [85a47980] Dictionaries v0.4.5
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
  [da5c29d0] EllipsisNotation v1.8.0
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [e189563c] ExternalDocstrings v0.1.1
  [c87230d0] FFMPEG v0.4.4
  [5789e2e9] FileIO v1.17.0
  [1a297f60] FillArrays v1.13.0
  [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 v0.3.19
  [9136182c] ITensors v0.9.9
  [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 v1.7.1
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.5
  [0b1a1467] KrylovKit v0.10.0
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.9
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.3
  [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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  [458c3c95] OpenSSL_jll v3.5.2+0
  [efcefdf7] PCRE2_jll v10.45.0+0
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  [8e850b90] libblastrampoline_jll v5.13.1+0
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        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
110.345596 seconds (98.15 M allocations: 5.207 GiB, 2.29% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.003839393939394
overlap = 0.8989854999999998
fidelity = 0.9333014148308237
exact_fidelity = 0.9448261198179299
XEB = 2.5644591468377578
self_XEB = 2.5152490531900336
102.525017 seconds (72.28 M allocations: 3.959 GiB, 1.35% gc time, 99.66% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.720685 seconds (5.92 M allocations: 331.194 MiB, 2.14% gc time, 98.87% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=55|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=55|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.133763431984258 - 0.5771018846803774im       -0.791804227810074 + 0.1486836365718891im
 0.8056404034186363 + 0.0020734853763080263im  -0.02648321916287233 + 0.59180898957402im, ITensor ord=2
Dim 1: (dim=2|id=396|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=396|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.09191134850054139 - 0.1497030288057199im   -0.7429593837104281 + 0.6458735645153986im
 -0.9011194228718186 + 0.3963900767001695im  -0.17460776239772935 + 0.019256742384220954im, ITensor ord=2
Dim 1: (dim=2|id=682|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=682|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.4748530119937424 + 0.23320023643716117im    0.5605070169752835 - 0.6371531610590909im
 -0.36707871967616545 - 0.7651048818868101im   -0.39398553987984397 - 0.3530483361233493im, ITensor ord=2
Dim 1: (dim=2|id=794|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=794|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.4339531597459514 - 0.262558122855641im     0.3655649725319617 - 0.7804550839905734im
  0.5616212770408566 - 0.6537043891882816im  -0.41754560826928055 - 0.28793710727519894im], Index{Int64}[(dim=2|id=55|"Qubit,Site,n=1"), (dim=2|id=396|"Qubit,Site,n=2"), (dim=2|id=682|"Qubit,Site,n=3"), (dim=2|id=794|"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
126.849975 seconds (72.44 M allocations: 3.939 GiB, 1.49% 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.
 10.410334 seconds (4.45 M allocations: 302.758 MiB, 0.98% gc time, 95.10% compilation time)
Running test_measurement_probability.jl
  0.280104 seconds (231.04 k allocations: 12.680 MiB, 83.61% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_z2CwIc/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.056651 seconds (1.67 M allocations: 91.905 MiB, 94.48% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.9448261198179299
expect_batch = 0.9402262153560789 + 7.919932188425421e-18im
expect_dense = 0.940226215356079 + 6.6670097905673464e-18im
expect_factorized = 0.940226215356079 - 8.59243091204397e-18im
 18.652396 seconds (14.35 M allocations: 1.104 GiB, 1.64% gc time, 95.22% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:46
Progress: 100%|█████████████████████████████████████████| Time: 0:01:11
Cost function 1.511324866753204
Cost function -0.5543869485971729

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.5543869485971733
Cost function -0.5543869485971731

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.5543869485971727
building shallow map
inversing shallow map
initial loss 0.9569748201522319
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 211.94 s: f = 0.000292731428, ‖∇f‖ = 6.3629e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
470.094681 seconds (306.44 M allocations: 17.234 GiB, 1.38% gc time, 99.13% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=235|"Qubit,Site,n=1")
Dim 2: (dim=2|id=720|"Qubit,Site,n=2")
Dim 3: (dim=2|id=52|"Qubit,Site,n=3")
Dim 4: (dim=2|id=571|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 0.1741373307356877 - 0.329544447531367im      -0.218572910296901 + 0.09094508799224106im
 0.2640645289041444 - 0.01504996551686287im  -0.11876943007234578 - 0.1383827505475347im

[:, :, 2, 1] =
 0.41581228939428494 - 0.0033799537499823243im  0.07435771701720426 - 0.1382558510270036im
  0.2888763076359386 + 0.012071362873221315im   0.22783396137617035 - 0.17546909057562504im

[:, :, 1, 2] =
 -0.10657706533416646 + 0.15297073480570114im  0.25868606558381374 - 0.014657105154992134im
 -0.06456215954204243 - 0.09174170459296417im   0.2780820428331368 - 0.019485930025947843im

[:, :, 2, 2] =
   0.14092862372141993 + 0.09290687700672458im  -0.03896574218031698 - 0.16838373624142053im
 -0.011512461201832414 + 0.09432507759766144im  -0.12347996829829717 - 0.2512842834108887im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=235|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=235|"Qubit,Site,n=1")
Dim 3: (dim=2|id=720|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=720|"Qubit,Site,n=2")
Dim 5: (dim=2|id=52|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=52|"Qubit,Site,n=3")
Dim 7: (dim=2|id=571|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=571|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
 0.11414132733492349 + 4.714902415214104e-17im  0.03927519315348929 - 0.04352480962959187im
 0.03927519315348942 + 0.04352480962959194im    0.06406505836327593 + 6.259704952966013e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.04989203137428085 - 0.04734287698766024im  -0.034472741394026556 + 0.010705043655320861im
 0.014516090829840352 - 0.03585685592959523im  -0.028865284724567543 - 0.027727723242512943im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.04989203137428084 + 0.04734287698766037im   0.014516090829840208 + 0.03585685592959514im
 -0.03447274139402682 - 0.010705043655320882im  -0.02886528472456763 + 0.027727723242512978im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.0433322284730683 + 3.51962400397391e-17im  0.005769637915471102 - 0.026215952294133517im
 0.005769637915471175 + 0.02621595229413371im   0.027972514922736533 - 5.2024894192584605e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
  0.03372718054872612 + 0.10852002296805834im   0.06112077637261883 - 0.00979195155317363im
 0.025022492853597932 + 0.0777761820847739im   0.042785651206469426 + 0.000524391395476372im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.03155532102280873 - 0.021540948140756896im  0.033298747220862936 - 0.03810202050837366im
 0.05459548164927002 + 0.017105046399675465im   0.05398890855133737 - 0.045614785432002564im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.06761963855078558 - 0.03610991345320194im   -0.024691171922742988 + 0.04713346011773706im
 -0.04701687367377183 - 0.025046031244082424im  -0.019090967296805744 + 0.02898978663015555im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.008562989079054202 + 0.014897202451088347im  -0.002030892679495107 + 0.02716287928967408im
  -0.03752958355324302 + 0.007759890031657041im  -0.006577323542375753 + 0.04589196144722079im

[:, :, 1, 1, 1, 2, 1, 1] =
  0.03372718054872623 - 0.10852002296805839im   0.025022492853598106 - 0.07777618208477376im
 0.061120776372618875 + 0.009791951553173462im  0.042785651206469696 - 0.0005243913954765224im

[:, :, 2, 1, 1, 2, 1, 1] =
   -0.0676196385507853 + 0.03610991345320205im  -0.047016873673771796 + 0.025046031244082244im
 -0.024691171922743053 - 0.04713346011773702im  -0.019090967296805674 - 0.028989786630155456im

[:, :, 1, 2, 1, 2, 1, 1] =
 0.0315553210228088 + 0.02154094814075687im  0.05459548164927006 - 0.017105046399675448im
 0.0332987472208629 + 0.03810202050837363im  0.05398890855133728 + 0.04561478543200255im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.008562989079054199 - 0.014897202451088377im  -0.037529583553242984 - 0.007759890031657008im
 -0.002030892679494971 - 0.027162879289674088im  -0.006577323542376044 - 0.04589196144722072im

[:, :, 1, 1, 2, 2, 1, 1] =
 0.14968328876623235 + 6.53421828073243e-17im    0.09927452875044321 + 0.0002482301936711053im
  0.0992745287504432 - 0.00024823019367119556im  0.06729354768516974 - 2.0901254369439936e-16im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.015020002621737123 - 0.009893809096871028im  0.005492707929470789 - 0.013632568574962546im
  0.07023527393722098 - 0.025253610993457888im  0.042527419848809644 - 0.023430911572501854im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.015020002621737293 + 0.009893809096871252im  0.07023527393722111 + 0.02525361099345791im
 0.005492707929470868 + 0.013632568574962423im  0.04252741984880957 + 0.023430911572501878im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.050717385116293104 + 7.507595776872376e-18im  0.05461857420244544 - 0.0030907489511499326im
 0.054618574202445605 + 0.003090748951149925im   0.08062877147801946 - 9.818224692069123e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.04202546167750661 + 0.011000312267696924im  -0.03556974587765774 + 0.03653505386457962im
  0.01323913381288596 - 0.02778757301531713im   -0.00940342660590384 - 0.018054126778039047im

[:, :, 2, 1, 1, 1, 2, 1] =
 0.015904940454221878 + 0.031633157420263625im  0.06807640156666361 - 0.023103392573552442im
 0.020740640106862947 + 0.06287713585135409im   0.04681395095642484 - 0.016687955849166623im

[:, :, 1, 2, 1, 1, 2, 1] =
  0.01717574377492564 - 0.01593123908652474im   0.0013900106906981624 - 0.029090520717996296im
 0.004856083513283538 + 0.018350963403844175im    0.01341200218737456 + 0.0016968390022759324im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.02551454491899359 - 0.019709168462252995im  -0.029859670873909443 + 0.04028955766921739im
 -0.04193953791338207 - 0.023236771095123364im  -0.017622419454307314 + 0.03715176177628671im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.012047583935429495 + 0.03965707792997092im     0.027249692339365316 + 0.010587863569256206im
  -0.03718618833979133 + 0.0008673196318894506im  0.0012200933921159805 + 0.00269600002299584im

[:, :, 2, 1, 2, 1, 2, 1] =
 0.010287432857875197 - 0.023844476506449257im  -0.015742374818612227 - 0.05224047896190963im
 0.030364373329528842 - 0.062331713763826825im  -0.019901224272310974 - 0.05999310117154238im

[:, :, 1, 2, 2, 1, 2, 1] =
 -0.012620505581935497 - 0.02631989163674982im  -0.021444494071097178 + 0.010531045139662345im
  0.013430152236918652 - 0.01927485899613444im   -0.00971838418879738 - 0.0005945945913149973im

[:, :, 2, 2, 2, 1, 2, 1] =
 -0.004247219678566075 + 0.016198177323035027im  0.026499098906886717 + 0.021090977897286544im
  0.006105989779338454 + 0.04079097024736248im    0.03518184301962122 + 0.01573463361225401im

[:, :, 1, 1, 1, 2, 2, 1] =
  -0.02490271859055661 + 0.02167197194766808im   -0.01330815527298655 + 0.0208303687040233im
 -0.019836216208233864 - 0.02501746296379529im  -0.014785988883187363 - 0.017224768395798506im

[:, :, 2, 1, 1, 2, 2, 1] =
 0.07506790241059152 + 0.038550824852454084im   0.04549711467351343 + 0.017234516165325568im
 0.10037014314802437 + 0.0074215985848827114im   0.0644363836097783 + 0.003325195455239099im

[:, :, 1, 2, 1, 2, 2, 1] =
  -0.04572959675737458 - 0.0036943959194594995im  -0.054939861489719924 + 0.002821124278321461im
 0.0077606219130135915 - 0.010141038167809452im     0.00244003974968764 - 0.021223326885560525im

[:, :, 2, 2, 1, 2, 2, 1] =
  0.05940137369336266 + 0.014308329768553958im   0.08027233450254452 + 0.03483163708105058im
 0.024755365225677027 + 0.00246482923797664im   0.060089372428620176 + 0.015463689711426809im

[:, :, 1, 1, 2, 2, 2, 1] =
  0.04576620770445295 + 0.037764724976829686im   0.030309181559298633 + 0.02388687497974571im
 0.005007901843262021 + 0.046601519171932275im  5.3525860867676454e-5 + 0.03069049064629285im

[:, :, 2, 1, 2, 2, 2, 1] =
  0.018417349978131062 - 0.036721520888967144im   0.004376617409447286 - 0.022584978564188448im
 -0.024646979064296207 - 0.06038994578607908im   -0.023431656594131135 - 0.04117896729447218im

[:, :, 1, 2, 2, 2, 2, 1] =
 0.008081760835071044 + 0.01072325040346322im   0.020840631390348516 + 0.029015448275531576im
 0.008385460550063301 - 0.009896078941481139im  0.004549842584658575 + 0.008401190365676565im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.020185840616874742 - 0.04646535788183381im   0.02898780842683069 - 0.05603777533344564im
 0.029034180058032634 - 0.03946435137396787im  0.023992103517475494 - 0.06308967784825283im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.0420254616775066 - 0.011000312267696924im   0.013239133812885759 + 0.027787573015316952im
  -0.035569745877658 - 0.03653505386457951im   -0.009403426605903991 + 0.018054126778039248im

[:, :, 2, 1, 1, 1, 1, 2] =
  0.017175743774925457 + 0.015931239086524638im  0.0048560835132834546 - 0.018350963403844078im
 0.0013900106906985787 + 0.02909052071799651im    0.013412002187374858 - 0.0016968390022760148im

[:, :, 1, 2, 1, 1, 1, 2] =
  0.0159049404542221 - 0.03163315742026362im      0.020740640106863 - 0.06287713585135439im
 0.06807640156666357 + 0.023103392573552397im  0.046813950956424696 + 0.016687955849166432im

[:, :, 2, 2, 1, 1, 1, 2] =
  -0.02551454491899366 + 0.019709168462253127im  -0.041939537913382174 + 0.02323677109512331im
 -0.029859670873909557 - 0.040289557669217387im  -0.017622419454307252 - 0.03715176177628669im

[:, :, 1, 1, 2, 1, 1, 2] =
 -0.024902718590556525 - 0.021671971947668053im  -0.019836216208234204 + 0.025017462963795166im
 -0.013308155272986455 - 0.020830368704023258im   -0.01478598888318746 + 0.017224768395799006im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.04572959675737465 + 0.00369439591945968im    0.0077606219130133885 + 0.010141038167809691im
 -0.05493986148971974 - 0.0028211242783215233im  0.0024400397496877214 + 0.02122332688556023im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.07506790241059162 - 0.03855082485245414im  0.10037014314802434 - 0.007421598584882998im
 0.04549711467351346 - 0.0172345161653255im   0.06443638360977824 - 0.0033251954552392755im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.05940137369336261 - 0.014308329768553896im  0.02475536522567706 - 0.0024648292379763938im
 0.08027233450254459 - 0.03483163708105041im   0.06008937242862027 - 0.01546368971142698im

[:, :, 1, 1, 1, 2, 1, 2] =
 -0.012047583935429585 - 0.039657077929970766im   -0.03718618833979136 - 0.0008673196318893812im
   0.02724969233936539 - 0.010587863569256326im  0.0012200933921161792 - 0.0026960000229956146im

[:, :, 2, 1, 1, 2, 1, 2] =
 -0.01262050558193549 + 0.02631989163675003im    0.013430152236918704 + 0.019274858996134334im
 -0.02144449407109715 - 0.010531045139662297im  -0.009718384188797363 + 0.0005945945913147024im

[:, :, 1, 2, 1, 2, 1, 2] =
  0.010287432857875378 + 0.023844476506449115im   0.030364373329528835 + 0.06233171376382714im
 -0.015742374818612178 + 0.05224047896190951im   -0.019901224272311203 + 0.059993101171542454im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.004247219678566103 - 0.016198177323035048im  0.006105989779338572 - 0.04079097024736263im
  0.026499098906886575 - 0.021090977897286423im  0.035181843019621205 - 0.01573463361225412im

[:, :, 1, 1, 2, 2, 1, 2] =
   0.0457662077044528 - 0.03776472497682969im   0.005007901843261964 - 0.046601519171932206im
 0.030309181559298806 - 0.023886874979745863im   5.35258608676725e-5 - 0.03069049064629266im

[:, :, 2, 1, 2, 2, 1, 2] =
 0.00808176083507114 - 0.010723250403463176im   0.00838546055006327 + 0.009896078941481014im
 0.02084063139034849 - 0.02901544827553169im   0.004549842584658594 - 0.008401190365676804im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.018417349978131006 + 0.036721520888967116im   -0.02464697906429624 + 0.06038994578607902im
  0.00437661740944755 + 0.02258497856418862im   -0.023431656594131017 + 0.04117896729447203im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.020185840616874718 + 0.04646535788183391im  0.029034180058032606 + 0.0394643513739679im
 0.028987808426830595 + 0.05603777533344584im   0.02399210351747546 + 0.06308967784825266im

[:, :, 1, 1, 1, 1, 2, 2] =
    0.0436289529384317 + 1.0213422547524724e-16im  -0.006742888246978763 - 0.01317836769656833im
 -0.006742888246979006 + 0.01317836769656828im       0.00898288909051647 - 2.8687898680269274e-16im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.05422699907552117 - 0.01726531456504843im    -0.00802946620071078 + 0.015433555570237121im
 -0.02825890669022315 - 0.010216891995423841im  -0.011371484662911675 + 0.016947333060859042im

[:, :, 1, 2, 1, 1, 2, 2] =
  -0.05422699907552115 + 0.01726531456504845im   -0.028258906690223143 + 0.010216891995424169im
 -0.008029466200710675 - 0.015433555570237189im   -0.01137148466291164 - 0.01694733306085893im

[:, :, 2, 2, 1, 1, 2, 2] =
 0.10917893290070213 + 9.585028280918335e-18im  0.06869953963257339 + 0.029347503380079278im
 0.06869953963257347 - 0.029347503380079465im   0.07291062243645184 + 1.5689712838397e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
  -0.007638725057578165 - 0.015753272876649297im   -0.01188737078306396 + 0.004075387482118309im
 -0.0022271359882693764 + 0.005304466083700349im  -0.004684517777711985 - 0.00639719930246553im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.018250344981136493 + 0.04270086714254576im   0.012076367725735915 + 0.0026780052294547506im
 -0.025565624245819183 + 0.043361602190597696im   0.02208375381881567 + 0.0021656579258966164im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.03982749195917819 + 0.010857546621696433im  0.034035933956872114 + 0.02488122580642481im
 0.02511877254669393 + 0.004142442124311084im  0.010603058826317091 + 0.02745247204677469im

[:, :, 2, 2, 2, 1, 2, 2] =
   0.012645968087565167 - 0.07426293865484519im    0.01995406167869355 - 0.037676277541996116im
 -0.0006622389747111361 - 0.06265331703673728im  -0.007706520370846448 - 0.04641776974119394im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.0076387250575781634 + 0.015753272876649325im  -0.002227135988269356 - 0.005304466083700578im
  -0.011887370783064037 - 0.004075387482118206im   -0.00468451777771232 + 0.006397199302465328im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.03982749195917816 - 0.01085754662169625im   0.025118772546693743 - 0.004142442124311153im
 0.03403593395687211 - 0.024881225806424698im  0.010603058826317287 - 0.027452472046774784im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.018250344981136583 - 0.042700867142545854im   -0.025565624245819145 - 0.043361602190597794im
  0.012076367725735749 - 0.0026780052294546153im   0.022083753818815804 - 0.002165657925896344im

[:, :, 2, 2, 1, 2, 2, 2] =
  0.01264596808756514 + 0.07426293865484507im   -0.0006622389747112889 + 0.06265331703673728im
 0.019954061678693475 + 0.037676277541996095im   -0.007706520370846382 + 0.046417769741194076im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.024573605836616854 + 9.077122584535106e-17im  0.013440382067385173 - 0.01026545323212932im
 0.013440382067385098 + 0.010265453232129344im   0.021725781947403287 + 2.786246019659083e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.0052140244371952586 - 0.02257876913571023im    0.006280100782625304 - 0.01201314388849409im
  -0.021938127532909392 - 0.018377978457345696im  -0.003660651521120905 + 0.006924005937071226im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.005214024437195009 + 0.022578769135710348im   -0.021938127532909617 + 0.018377978457345946im
  0.006280100782625392 + 0.01201314388849411im   -0.0036606515211212976 - 0.006924005937071351im

[:, :, 2, 2, 2, 2, 2, 2] =
 0.056355823022185454 + 5.005831654041802e-17im  0.04959124736220633 - 0.0010435922542628528im
 0.049591247362206374 + 0.0010435922542629697im  0.06480926968797315 + 5.186343263060819e-17im
get_trace(ρ) = 1.0 + 6.086523804846946e-17im
get_trace_moment(ρ, 2) = 0.6064822270465066
get_trace_moment(ρ, 3) = 0.4097233405697589 + 1.3877787807814457e-17im
purity_1 = 0.6050376768336442
purity_2 = 0.6050376768336433
trrho3_1 = 0.41985855687357565
trrho3_2 = 0.4198585568735744 - 1.5789802094881673e-16im
purity = 0.6064822270465066
p2 = 0.6064822270465066
trrho3 = 0.4097233405697589 + 1.3877787807814457e-17im
p3 = 0.18559493370021718 + 6.765421556309548e-17im
Cost function 1.0521241438111715
Cost function -0.10123922875917456
Cost function -0.10123922875917457
Cost function -0.10123922875917458
Cost function -0.10123922875917461
Cost function -0.10123922875917458
Cost function -0.10123922875917461
norm(ψ_sum_approx - ψ_sum) = 1.8107721364984798e-16
 58.760137 seconds (28.04 M allocations: 1.573 GiB, 0.86% gc time, 99.38% compilation time)
Running test_trace_moments.jl
  9.078451 seconds (6.31 M allocations: 342.331 MiB, 1.63% gc time, 99.92% compilation time)
  0.000433 seconds (820 allocations: 192.258 KiB)
  1.327496 seconds (326.23 k allocations: 18.442 MiB, 99.62% compilation time)
dense_moments_4_batches = 1.0000000000000002
dense_moments_nu_batches = 1.0000000000000004
factorized_moments = 0.9999999999999997
  0.900453 seconds (339.59 k allocations: 19.270 MiB, 99.24% compilation time)
  0.002184 seconds (4.92 k allocations: 1.860 MiB)
  0.730153 seconds (422.49 k allocations: 42.741 MiB, 95.89% compilation time)
dense_moments_4_batches = 0.5079568770381983
dense_moments_nu_batches = 0.17924468564252996
factorized_moments = 0.1792446856425282
  0.374482 seconds (132.33 k allocations: 10.130 MiB, 97.82% compilation time)
  0.006926 seconds (19.52 k allocations: 8.898 MiB)
  1.058734 seconds (5.56 M allocations: 978.173 MiB, 16.95% gc time, 8.91% compilation time)
dense_moments_4_batches = 4.393100965360312
dense_moments_nu_batches = 4.546453041594814
factorized_moments = 4.546453041594808
  0.382906 seconds (142.41 k allocations: 11.896 MiB, 97.61% compilation time)
  0.046632 seconds (48.62 k allocations: 24.446 MiB, 59.05% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.574538 seconds (93.73 M allocations: 16.660 GiB, 15.01% gc time, 0.61% compilation time)
dense_moments_4_batches = -9.328083894009254
dense_moments_nu_batches = -7.691184155378368
factorized_moments = -7.69118415537836
 30.577577 seconds (107.31 M allocations: 18.105 GiB, 8.81% gc time, 45.58% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m38.5s
     Testing RandomMeas tests passed 

Testing completed after 965.44s

PkgEval succeeded after 1199.96s