Package evaluation of RandomMeas on Julia 1.13.0-DEV.1035 (d28a587c89*) started at 2025-08-25T04:35:19.080


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.95s


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# 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 v1.7.1
  [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 v1.40.19
  [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
  [1986cc42] + Unitful v1.24.0
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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 v2.7.1+0
  [b22a6f82] + FFMPEG_jll v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.17.1+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 v3.1.2+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 v2.41.1+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.1+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
  [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 v1.13.0
  [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 v2025.8.12
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.7+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 v1.66.0+0
  [3f19e933] + p7zip_jll v17.6.0+0
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

Installation completed after 6.61s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 190.54s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_S4jQNx/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 v1.40.19
  [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_S4jQNx/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 v1.7.1
  [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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        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
100.529925 seconds (97.85 M allocations: 5.190 GiB, 2.59% gc time, 99.89% compilation time: 2% of which was recompilation)
Running test_estimators.jl
purity1 = 1.0098757575757573
overlap = 0.03454300000000001
fidelity = 0.03398059840043582
exact_fidelity = 0.023804226281002042
XEB = 1.1709406343790254
self_XEB = 1.1400345269859717
 98.715588 seconds (72.25 M allocations: 3.958 GiB, 1.71% gc time, 99.63% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.103365 seconds (5.91 M allocations: 331.130 MiB, 1.57% gc time, 98.80% compilation time)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=199|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=199|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.794994481747826 + 0.5802709515486589im   -0.17651756935880947 - 0.010533018891919349im
 0.05070218190351549 + 0.16940686387966242im    0.3826552853547649 - 0.9068106394450518im, ITensor ord=2
Dim 1: (dim=2|id=828|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=828|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.01954461231543747 - 0.8239312647048779im    0.252114410051971 + 0.5071425868682363im
  0.5114094812164247 - 0.24334260147620512im  0.4932498677040982 - 0.6602645597324074im, ITensor ord=2
Dim 1: (dim=2|id=859|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=859|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.8222784681923252 - 0.11219376554189295im  0.3172846624917391 + 0.45891297940711717im
 -0.17145516020811016 - 0.530917891729809im    0.4108484827482288 - 0.7210636896298859im, ITensor ord=2
Dim 1: (dim=2|id=152|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=152|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.6107854763416856 + 0.7138982880237666im   -0.1434858627842131 - 0.3109696824898935im
 0.16664255904381087 + 0.29919992273081414im   0.9367137660904279 - 0.0726428535362728im], Index{Int64}[(dim=2|id=199|"Qubit,Site,n=1"), (dim=2|id=828|"Qubit,Site,n=2"), (dim=2|id=859|"Qubit,Site,n=3"), (dim=2|id=152|"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
123.875988 seconds (72.38 M allocations: 3.936 GiB, 1.70% gc time, 99.78% 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.
 10.652237 seconds (4.44 M allocations: 302.526 MiB, 1.14% gc time, 97.34% compilation time)
Running test_measurement_probability.jl
  0.275913 seconds (231.11 k allocations: 12.682 MiB, 81.97% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_ojHZUs/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.901238 seconds (1.66 M allocations: 91.661 MiB, 93.74% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.023804226281002053
expect_batch = 0.029206276194142438 - 1.238006701175991e-18im
expect_dense = 0.029206276194142428 - 9.723094967165408e-19im
expect_factorized = 0.029206276194142382 + 3.246727812556383e-19im
 18.661188 seconds (14.35 M allocations: 1.104 GiB, 1.68% gc time, 94.41% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:40
Progress: 100%|█████████████████████████████████████████| Time: 0:01:10
Cost function 0.9712553889834062
Cost function -0.576771035801418

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.576771035801418
Cost function -0.5767710358014178

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.5767710358014179
building shallow map
inversing shallow map
initial loss 0.9533057544202952
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 199.18 s: f = 0.000005943447, ‖∇f‖ = 5.7015e-04
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
452.090957 seconds (306.23 M allocations: 17.208 GiB, 1.43% gc time, 99.09% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=137|"Qubit,Site,n=1")
Dim 2: (dim=2|id=333|"Qubit,Site,n=2")
Dim 3: (dim=2|id=961|"Qubit,Site,n=3")
Dim 4: (dim=2|id=768|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.27459621146326335 + 0.21272162866201555im  0.04781043267424197 + 0.23658062613480246im
  0.19665840771751958 - 0.11754542944557414im  0.06566532249237857 - 0.003840746612812234im

[:, :, 2, 1] =
 0.034546375520883965 + 0.16106534738704945im  -0.0064245399909821505 + 0.09888232710442552im
  0.16201097569119846 - 0.2304850629198464im     -0.13454075695863185 + 0.20042760137709814im

[:, :, 1, 2] =
   0.22483697828494112 + 0.11436879580250496im    0.16097435107848077 + 0.09163862813782736im
 -0.003062752913215186 - 0.1600201812605166im   -0.028532469786674106 - 0.11081929439248685im

[:, :, 2, 2] =
   0.168163443494193 - 0.12367085673432507im   0.4066250131544598 + 0.07036207208335916im
 -0.3096660818122946 - 0.3482600134306681im   0.13420526741371416 + 0.0629584343917451im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=137|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=137|"Qubit,Site,n=1")
Dim 3: (dim=2|id=333|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=333|"Qubit,Site,n=2")
Dim 5: (dim=2|id=961|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=961|"Qubit,Site,n=3")
Dim 7: (dim=2|id=768|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=768|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.09705714769229867 - 6.84996972396805e-17im  -0.053350805498984695 + 0.0066819103853410205im
 -0.05335080549898456 - 0.006681910385340858im   0.037046893708308194 - 4.470266598188027e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
  0.019740221685962723 - 0.03149203432626837im    -0.013848913206996775 + 0.03977716208210119im
 -0.024359880463030913 - 0.0029500583873415154im   0.007627892853631911 + 0.005824920107970771im

[:, :, 1, 2, 1, 1, 1, 1] =
 0.019740221685962782 + 0.031492034326268396im   -0.02435988046303101 + 0.0029500583873413593im
 -0.01384891320699656 - 0.03977716208210113im   0.0076278928536317745 - 0.005824920107970705im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.07926940277629485 + 1.7669718227763925e-17im   0.01734175873208292 - 0.0046539395321462396im
 0.01734175873208288 + 0.004653939532146109im    0.015867270758561033 + 8.819397250468112e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
  0.02223614419289649 - 0.02136353011523453im  -0.007729926720497542 + 0.027297453078158392im
 -0.06327656981557421 + 0.02355961188581732im    0.04160804111365535 - 0.017875341396123148im

[:, :, 2, 1, 2, 1, 1, 1] =
  0.0457535766482112 - 0.02632959905346507im    -0.00440599649312977 + 0.011782778447193784im
 0.05051347116038701 - 0.011566635929533844im  -0.035813572054649155 + 0.01759747705036811im

[:, :, 1, 2, 2, 1, 1, 1] =
   0.05007088987570725 - 0.015893491521346767im  0.003942723999740192 - 0.007931442966245136im
 -0.028178011792960443 - 0.03989331254293799im   0.007764017055215667 - 0.014210935835744306im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.012598475409647905 - 0.04138877592257505im    -0.03096699709729684 - 0.0025349588374773864im
  0.042883180044437925 + 0.034223199362765334im  0.0012254120588660155 + 0.005223384969574059im

[:, :, 1, 1, 1, 2, 1, 1] =
  0.022236144192896486 + 0.021363530115234466im  -0.06327656981557414 - 0.02355961188581734im
 -0.007729926720497444 - 0.027297453078158368im   0.04160804111365547 + 0.01787534139612314im

[:, :, 2, 1, 1, 2, 1, 1] =
  0.05007088987570724 + 0.015893491521346746im  -0.028178011792960596 + 0.039893312542937875im
 0.003942723999740188 + 0.007931442966244994im   0.007764017055215674 + 0.014210935835744464im

[:, :, 1, 2, 1, 2, 1, 1] =
   0.04575357664821121 + 0.026329599053465057im   0.05051347116038705 + 0.01156663592953398im
 -0.004405996493129771 - 0.01178277844719388im   -0.03581357205464909 - 0.017597477050368154im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.012598475409647937 + 0.04138877592257503im      0.04288318004443788 - 0.0342231993627654im
 -0.030966997097296813 + 0.0025349588374774046im  0.0012254120588659648 - 0.005223384969573952im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.03813940187189961 - 6.051308038358656e-17im  -0.017264795747561575 + 0.025083251466685264im
 -0.01726479574756173 - 0.025083251466685278im     0.05684569067890494 + 4.55019620219564e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 0.012878090467498642 - 0.03495601860960187im  -0.01373639610853493 + 0.0007473152631470252im
 0.025429108823292967 + 0.02877954893906478im  -0.04663722839167103 + 0.003617489223195245im

[:, :, 1, 2, 2, 2, 1, 1] =
  0.012878090467498484 + 0.03495601860960194im    0.025429108823292888 - 0.028779548939064734im
 -0.013736396108535017 - 0.0007473152631469948im  -0.04663722839167116 - 0.0036174892231954268im

[:, :, 2, 2, 2, 2, 1, 1] =
    0.08276943522134635 - 4.405835903281072e-17im  -0.0023507504898316583 - 0.021375491071072752im
 -0.0023507504898317563 + 0.021375491071072776im      0.04673679022025111 + 5.963487580949431e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.016994590240523213 - 0.044322160985078955im  0.022972491373804096 + 0.03596610125894347im
 -0.027106387617146618 + 0.033277435416835505im  0.012146728265653335 - 0.02195849054240556im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.013310914798821101 - 0.013041187013936736im   0.015254089600290786 + 0.03028340996706953im
 -0.026994673267614584 + 0.031605559849415724im  0.0027169126963847642 - 0.016655109621288244im

[:, :, 1, 2, 1, 1, 2, 1] =
   0.04052882510899528 - 0.054371909101715424im   0.007265022739406065 - 0.00845471048883155im
 -0.021215164765340203 + 0.0005977004508843399im  0.004713603213795194 - 0.007322577856406322im

[:, :, 2, 2, 1, 1, 2, 1] =
    0.0663757891800115 - 0.04453394536000583im   0.01741612572023096 - 0.022576693917351842im
 -0.001179109468617148 + 0.024748956779459735im  0.01607264439390867 - 0.002814916208386233im

[:, :, 1, 1, 2, 1, 2, 1] =
 -0.04981025206321011 - 0.006067161272812337im   0.03346664092478187 - 0.003932343341189263im
 0.009819888045410738 + 0.09814775990578718im   -0.01364802008730052 - 0.07573376124263015im

[:, :, 2, 1, 2, 1, 2, 1] =
  -0.07517438671978686 - 0.07458079204360704im   0.04902508811944109 + 0.04306959159195407im
 -0.018837126840697167 - 0.027759103563391032im  0.01292249309592015 + 0.02038173862020427im

[:, :, 1, 2, 2, 1, 2, 1] =
 -0.023353529255655064 - 0.031145151702295225im  0.004919883850168489 - 0.0014290236162715388im
    -0.094077320706426 + 0.043469183726412265im  -0.02241064221918119 - 0.004673072572428985im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.028155677565566858 - 0.05218474722279056im   0.02489525891361579 + 0.008397792622073182im
 0.023371135041767948 - 0.01823544117677696im  0.010231152842075873 + 0.0005879762527242587im

[:, :, 1, 1, 1, 2, 2, 1] =
   0.0349353508964284 - 0.029011727196405157im   0.011629601310994369 + 0.04871099368562028im
 -0.01720437389962245 + 0.0018009636228950633im    0.0253529959417879 - 0.01724628224826519im

[:, :, 2, 1, 1, 2, 2, 1] =
   0.04916483573331211 - 0.009511093325338536im  0.011820563194519018 + 0.04024490663205025im
 -0.012305010573512307 + 0.021580624948628092im   0.01349752275112848 - 0.011833975468848443im

[:, :, 1, 2, 1, 2, 2, 1] =
  0.02132295799328697 + 0.0163087335042203im     -0.002793893393387061 - 0.05195943594426969im
 -0.02156288020519479 + 0.0032681611681106768im  -0.019434834229571905 + 0.016775715191723346im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.003711952080976931 + 0.058561327836580176im    0.011742405195811632 - 0.045168291458575434im
  -0.04930383343206582 + 0.006293950689590115im  -0.0029480631548916246 + 0.02072623535059409im

[:, :, 1, 1, 2, 2, 2, 1] =
 -0.015129648711639555 - 0.024900577483790706im   0.03789764074322202 + 0.01202475480329642im
  -0.06335349415412855 + 0.018183062230838275im  0.017444102913800174 - 0.09261973127776636im

[:, :, 2, 1, 2, 2, 2, 1] =
 0.014263333532720263 - 0.035576825783396146im  0.033326851864666496 + 0.07550629939546102im
  0.01446715079944638 - 0.009102674537874805im  0.005804167585307142 + 0.03019100346837547im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.003966764838997644 - 0.021820267484820292im   -0.03620851964577594 - 0.010479205150089248im
 -0.007824526777774949 - 0.010829221942239259im  -0.028776742174026627 + 0.0812026376229674im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.014339677644741583 - 0.034584559631156093im    -0.025615349669275523 - 0.05934922586292672im
 -0.004800352924578241 - 0.0009288431299701479im  -0.0004328810862787032 - 0.02521358656575355im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.016994590240523254 + 0.04432216098507901im  -0.027106387617146663 - 0.03327743541683556im
  0.022972491373804166 - 0.03596610125894347im   0.012146728265653451 + 0.021958490542405604im

[:, :, 2, 1, 1, 1, 1, 2] =
   0.0405288251089953 + 0.05437190910171548im  -0.021215164765340255 - 0.0005977004508844475im
 0.007265022739406135 + 0.00845471048883138im    0.00471360321379505 + 0.007322577856406435im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.013310914798821084 + 0.013041187013936827im  -0.026994673267614615 - 0.03160555984941557im
  0.015254089600290694 - 0.03028340996706953im    0.002716912696384725 + 0.016655109621288102im

[:, :, 2, 2, 1, 1, 1, 2] =
 0.06637578918001152 + 0.04453394536000577im   -0.0011791094686172763 - 0.02474895677945982im
 0.01741612572023101 + 0.022576693917351766im     0.01607264439390873 + 0.0028149162083863505im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.03493535089642837 + 0.02901172719640513im   -0.017204373899622392 - 0.0018009636228949197im
 0.011629601310994426 - 0.048710993685620485im   0.025352995941787856 + 0.0172462822482652im

[:, :, 2, 1, 2, 1, 1, 2] =
    0.02132295799328712 - 0.016308733504220217im  -0.021562880205194614 - 0.003268161168110656im
 -0.0027938933933871098 + 0.05195943594426969im    -0.01943483422957204 - 0.01677571519172338im

[:, :, 1, 2, 2, 1, 1, 2] =
  0.04916483573331211 + 0.009511093325338572im  -0.012305010573512317 - 0.02158062494862802im
 0.011820563194519233 - 0.040244906632050305im   0.013497522751128362 + 0.011833975468848257im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.0037119520809769796 - 0.05856132783658015im    -0.04930383343206591 - 0.006293950689590163im
   0.011742405195811581 + 0.04516829145857548im  -0.0029480631548916125 - 0.020726235350593987im

[:, :, 1, 1, 1, 2, 1, 2] =
 -0.04981025206321012 + 0.006067161272812288im   0.009819888045410851 - 0.09814775990578738im
  0.03346664092478194 + 0.003932343341189111im  -0.013648020087300502 + 0.07573376124263047im

[:, :, 2, 1, 1, 2, 1, 2] =
 -0.023353529255655044 + 0.031145151702295336im    -0.09407732070642594 - 0.0434691837264126im
  0.004919883850168686 + 0.0014290236162716238im  -0.022410642219181678 + 0.004673072572429237im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.07517438671978695 + 0.07458079204360724im   -0.018837126840697035 + 0.027759103563390966im
  0.04902508811944123 - 0.043069591591954115im    0.01292249309592011 - 0.02038173862020421im

[:, :, 2, 2, 1, 2, 1, 2] =
  0.02815567756556693 + 0.05218474722279067im   0.023371135041767827 + 0.018235441176776886im
 0.024895258913615798 - 0.008397792622073196im   0.01023115284207583 - 0.0005879762527242014im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.015129648711639528 + 0.024900577483790723im  -0.06335349415412844 - 0.018183062230838286im
    0.0378976407432221 - 0.012024754803296428im  0.017444102913800084 + 0.09261973127776653im

[:, :, 2, 1, 2, 2, 1, 2] =
 -0.003966764838997641 + 0.021820267484820383im  -0.007824526777774767 + 0.010829221942239134im
  -0.03620851964577598 + 0.010479205150089224im   -0.02877674217402638 - 0.0812026376229678im

[:, :, 1, 2, 2, 2, 1, 2] =
 0.014263333532720184 + 0.03557682578339614im  0.014467150799446283 + 0.009102674537874956im
  0.03332685186466644 - 0.07550629939546097im  0.005804167585307248 - 0.030191003468375513im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.014339677644741476 + 0.03458455963115609im   -0.004800352924578234 + 0.0009288431299703179im
  -0.02561534966927554 + 0.05934922586292671im  -0.0004328810862788894 + 0.025213586565753662im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.06110058874036902 + 2.792292608918331e-17im  -0.01429066782074263 + 0.02001520060683496im
 -0.01429066782074265 - 0.02001520060683495im     0.01945578282215263 - 1.3836740262668498e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
   0.06081809804625236 + 0.01883663567732434im    -0.007160395007088603 + 0.008421500953703514im
 -0.019665593016209192 + 0.0033887669530461447im   0.018369935581867954 - 0.002201382959920044im

[:, :, 1, 2, 1, 1, 2, 2] =
   0.06081809804625241 - 0.018836635677324243im  -0.019665593016209123 - 0.003388766953046058im
 -0.007160395007088629 - 0.008421500953703386im   0.018369935581867718 + 0.002201382959920043im

[:, :, 2, 2, 1, 1, 2, 2] =
    0.08993998836614356 - 9.016521488490586e-17im  -0.001659832240640265 - 0.027454044523581755im
 -0.0016598322406402792 + 0.02745404452358172im       0.0323379152373914 + 7.359411816108037e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.013000543059687378 - 0.03724927185307086im    0.0124216735491699 + 0.020422560103180637im
  -0.0882253340589182 - 0.042799576966879804im  0.03657259011368951 - 0.029718250150494185im

[:, :, 2, 1, 2, 1, 2, 2] =
  0.06371567754124152 - 0.015225922954161641im  -0.006537055964805633 + 0.0467790583452498im
 0.028225602235207373 + 0.004456915542917567im  -0.005890300302385223 + 0.013965395195553081im

[:, :, 1, 2, 2, 1, 2, 2] =
 0.00043932462036273134 - 0.028344921815683582im  0.0027507710782041614 + 0.021153511149203406im
   -0.09031733255698662 - 0.02897392879662724im     0.02330525694215135 + 0.0007989940510674269im

[:, :, 2, 2, 2, 1, 2, 2] =
  0.04681359293136503 - 0.0013450131571516814im    -0.00432386783121117 + 0.034381866285481705im
 0.028198209294852675 + 0.0053258208422381536im  -0.0024220764647801944 + 0.004827828514103014im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.013000543059687349 + 0.03724927185307078im   -0.08822533405891825 + 0.04279957696687983im
 0.012421673549169957 - 0.020422560103180408im  0.036572590113689706 + 0.02971825015049402im

[:, :, 2, 1, 1, 2, 2, 2] =
 0.0004393246203626091 + 0.028344921815683474im  -0.09031733255698676 + 0.028973928796627024im
 0.0027507710782039988 - 0.021153511149203462im   0.02330525694215152 - 0.0007989940510675154im

[:, :, 1, 2, 1, 2, 2, 2] =
   0.06371567754124163 + 0.015225922954161681im    0.02822560223520735 - 0.004456915542917452im
 -0.006537055964805595 - 0.04677905834524985im   -0.005890300302385117 - 0.01396539519555307im

[:, :, 2, 2, 1, 2, 2, 2] =
  0.046813592931365076 + 0.0013450131571517586im    0.028198209294852682 - 0.005325820842238128im
 -0.004323867831211271 - 0.034381866285481705im   -0.0024220764647802486 - 0.0048278285141029435im

[:, :, 1, 1, 2, 2, 2, 2] =
   0.032397317766651855 - 9.114689629500956e-17im  -0.00046828807505998126 + 0.06808125639226514im
 -0.0004682880750601445 - 0.0680812563922652im         0.17002457867737572 + 1.321421398184596e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
  0.04141536306117382 + 0.04059360921440417im   -0.1059762565430142 + 0.07492718224539847im
 0.008521849525728016 + 0.01842830529668848im  -0.04997028025513323 + 0.01695207194271085im

[:, :, 1, 2, 2, 2, 2, 2] =
  0.04141536306117368 - 0.04059360921440405im   0.00852184952572786 - 0.018428305296688607im
 -0.10597625654301396 - 0.0749271822453984im   -0.04997028025513349 - 0.01695207194271085im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.12368077563949523 - 1.2758137548658809e-16im  0.042562628538686205 - 0.008640637105651995im
 0.042562628538686136 + 0.00864063710565193im      0.01733101982255503 + 1.0212680867026218e-16im
get_trace(ρ) = 0.9999999999999992 + 6.282491735753054e-18im
get_trace_moment(ρ, 2) = 0.602512575940213
get_trace_moment(ρ, 3) = 0.4037688639103215 + 2.983724378680108e-16im
purity_1 = 0.6488153239636829
purity_2 = 0.6488153239636827
trrho3_1 = 0.4938654433304053
trrho3_2 = 0.49386544333040483 + 6.245004513516506e-17im
purity = 0.602512575940213
p2 = 0.602512575940213
trrho3 = 0.4037688639103215 + 2.983724378680108e-16im
p3 = 0.21356054674772174 + 5.637851296924623e-17im
Cost function 0.80919852445384
Cost function -0.0986821295884913
Cost function -0.09868212958849133
Cost function -0.09868212958849132
Cost function -0.09868212958849133
Cost function -0.09868212958849132
Cost function -0.0986821295884913
norm(ψ_sum_approx - ψ_sum) = 2.8988054589096794e-16
 56.786308 seconds (28.01 M allocations: 1.572 GiB, 1.09% gc time, 99.35% compilation time)
Running test_trace_moments.jl
  8.485253 seconds (6.36 M allocations: 345.196 MiB, 1.12% gc time, 99.92% compilation time)
  0.000409 seconds (820 allocations: 192.258 KiB)
  1.256974 seconds (325.54 k allocations: 18.412 MiB, 99.62% compilation time)
dense_moments_4_batches = 1.0
dense_moments_nu_batches = 1.0000000000000004
factorized_moments = 1.0000000000000004
  0.843486 seconds (339.60 k allocations: 19.274 MiB, 99.24% compilation time)
  0.001809 seconds (4.92 k allocations: 1.860 MiB)
  0.688047 seconds (422.49 k allocations: 42.746 MiB, 95.43% compilation time)
dense_moments_4_batches = -2.256602355656994
dense_moments_nu_batches = -2.835057930737435
factorized_moments = -2.8350579307374355
  0.329683 seconds (132.33 k allocations: 10.126 MiB, 97.41% compilation time)
  0.007578 seconds (19.52 k allocations: 8.898 MiB)
  1.027677 seconds (5.56 M allocations: 978.173 MiB, 19.64% gc time, 9.03% compilation time)
dense_moments_4_batches = -1.6397787847891923
dense_moments_nu_batches = -0.9318532927623834
factorized_moments = -0.9318532927623822
  0.401832 seconds (142.39 k allocations: 11.896 MiB, 96.98% compilation time)
  0.066976 seconds (48.62 k allocations: 24.446 MiB, 56.63% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 16.677946 seconds (93.73 M allocations: 16.660 GiB, 15.14% gc time, 0.58% compilation time)
dense_moments_4_batches = 0.4769136397555283
dense_moments_nu_batches = -2.9852524697329397
factorized_moments = -2.98525246973294
 30.810641 seconds (107.36 M allocations: 18.108 GiB, 9.28% gc time, 42.44% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m01.6s
     Testing RandomMeas tests passed 

Testing completed after 929.33s

PkgEval succeeded after 1159.24s