Package evaluation of RandomMeas on Julia 1.13.0-DEV.897 (a39797a4fb*) started at 2025-07-25T05:59:55.662


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.47s


################################################################################
# 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 v1.25.2
  [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 v1.7.1
  [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 v3.4.2
  [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 v1.4.0
  [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 v0.9.4
  [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 v1.9.14
  [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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  [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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  [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 v0.15.2+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 v1.13.0
  [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 v8.14.1+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 v3.5.1+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 6.5s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 185.87s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_85qd8o/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 v1.13.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_85qd8o/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 v1.25.2
  [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 v1.7.1
  [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 v3.4.2
  [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
109.372331 seconds (98.60 M allocations: 5.233 GiB, 2.42% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9557363636363638
overlap = 0.671533
fidelity = 0.6590806458436664
exact_fidelity = 0.6856904891349184
XEB = 1.016580401956166
self_XEB = 1.054697269285915
 99.819505 seconds (72.51 M allocations: 3.972 GiB, 1.34% gc time, 99.61% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.747114 seconds (5.37 M allocations: 300.724 MiB, 1.24% gc time, 98.79% 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=894|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=894|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.5429265662309477 + 0.05021562560115146im  -0.2942224570736938 - 0.7849473105754783im
 0.5255296060131223 - 0.6530909338138524im    0.5312882921179432 + 0.12257086126907044im, ITensor ord=2
Dim 1: (dim=2|id=836|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=836|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
  -0.192410396889253 + 0.5405560546839975im  -0.6753374194868037 + 0.4633538181069581im
 -0.6909111593227092 - 0.4397944529399399im   0.2109329817104344 + 0.5336008679840714im, ITensor ord=2
Dim 1: (dim=2|id=774|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=774|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.5736419970147177 + 0.4611568778956467im   0.5780696591250939 + 0.35228491655122585im
 0.5840218250899795 + 0.3423268920915733im  -0.6778165725837206 - 0.28687192386211613im, ITensor ord=2
Dim 1: (dim=2|id=323|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=323|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.7503616214317288 - 0.4537810985240438im  0.47404415447331255 + 0.07951283741850224im
 -0.28240993383215723 + 0.3889534432005656im   0.8532702244458681 - 0.2022121963914115im], Index{Int64}[(dim=2|id=894|"Qubit,Site,n=1"), (dim=2|id=836|"Qubit,Site,n=2"), (dim=2|id=774|"Qubit,Site,n=3"), (dim=2|id=323|"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
118.787499 seconds (72.44 M allocations: 3.939 GiB, 1.65% gc time, 99.82% compilation time: 5% of which was recompilation)
Running test_measurement_group.jl
We are constructing a MeasurementGroup object with measurement settings of type LocalUnitaryMeasurementSetting.
We are constructing a MeasurementGroup object with measurement settings of type Nothing.
 11.482317 seconds (4.84 M allocations: 323.439 MiB, 1.07% gc time, 97.54% compilation time)
Running test_measurement_probability.jl
  0.265369 seconds (231.05 k allocations: 12.684 MiB, 81.73% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_ph2512/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.901676 seconds (1.67 M allocations: 91.959 MiB, 94.39% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.685690489134918
expect_batch = 0.7441467095842464 - 1.172063512991934e-17im
expect_dense = 0.7441467095842462 - 1.2705828597997494e-17im
expect_factorized = 0.7441467095842464 - 7.779416767157995e-18im
 17.236739 seconds (14.35 M allocations: 1.104 GiB, 1.86% gc time, 94.97% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:49
Progress: 100%|█████████████████████████████████████████| Time: 0:01:12
Cost function 0.5226580049094655
Cost function -0.5868650255192724

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.586865025519272
Cost function -0.5868650255192721

Progress: 100%|█████████████████████████████████████████| Time: 0:00:04
Cost function -0.586865025519272
building shallow map
inversing shallow map
initial loss 1.0179142783319852
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 200.04 s: f = 0.000296930475, ‖∇f‖ = 9.3348e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
450.533637 seconds (308.62 M allocations: 17.366 GiB, 1.50% gc time, 99.10% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=531|"Qubit,Site,n=1")
Dim 2: (dim=2|id=505|"Qubit,Site,n=2")
Dim 3: (dim=2|id=376|"Qubit,Site,n=3")
Dim 4: (dim=2|id=203|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.1984366251588612 + 0.0959784043997434im  0.09036807085142584 - 0.13983136493205967im
 0.03189528535689665 + 0.1722130886097045im  0.03126964205855799 + 0.10506428514325247im

[:, :, 2, 1] =
 -0.09662491377081128 - 0.043085712581180075im  -0.19682989731565922 + 0.20418816774918613im
 -0.12987736708398628 - 0.034594991506418905im  -0.22165880740685343 + 0.33508020252520093im

[:, :, 1, 2] =
  0.2851835412177798 + 0.00446178565281212im  -0.12391350929721551 + 0.1842642420828921im
 0.18695820625328416 - 0.1723883940289731im     0.2854490798121353 - 0.10926447741613365im

[:, :, 2, 2] =
 -0.20740163989348936 - 0.41548827186551773im  -0.18768170016153402 + 0.040052838694548766im
  0.18046053112340393 - 0.08105890054927758im  -0.16607799194454287 - 0.04422121256506415im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=531|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=531|"Qubit,Site,n=1")
Dim 3: (dim=2|id=505|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=505|"Qubit,Site,n=2")
Dim 5: (dim=2|id=376|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=376|"Qubit,Site,n=3")
Dim 7: (dim=2|id=203|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=203|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.05677794643983064 + 6.2491684431756494e-18im  0.0022433378944062303 + 0.05820622060573726im
 0.0022433378944062997 - 0.05820622060573725im        0.0679053266854638 - 2.1511616370486592e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.013392126627291025 + 0.014556029677643642im  -0.018378845169203326 - 0.002196171473254189im
 -0.011094277680107657 - 0.014842935221524816im   0.013718969890007036 - 0.02131915686639061im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.013392126627290885 - 0.014556029677643625im   -0.011094277680107758 + 0.014842935221524833im
 -0.018378845169203253 + 0.0021961714732542915im   0.013718969890007201 + 0.021319156866390705im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.02268200451738143 - 5.059574011198168e-17im  -0.013397340035152965 - 0.011133143906165613im
 -0.013397340035152912 + 0.01113314390616562im     0.016938775813001995 + 6.852579237160472e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.0019212388906007637 + 0.033634420828159435im    -0.03454586086168826 - 0.011439674823526586im
   0.006474249451413524 - 0.00025166747509093823im  0.014377176552898566 + 0.0047999000725448245im

[:, :, 2, 1, 2, 1, 1, 1] =
 0.05636972295590479 + 0.0017596187925121099im  -0.0069311272453073764 + 0.04626847722907386im
 0.07127302129185091 - 0.037987678179119945im     0.040524113842968564 + 0.06093718305429299im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.005453861746337523 - 0.003574117113236671im    0.003988425848955386 - 0.00565835061221982im
 -0.009031562778564177 - 0.01959169118034771im   -0.0009021105697753478 + 0.017907017369886473im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.025790076685319213 - 0.0008091268801714727im  0.002796035757364041 + 0.007449297464279847im
  -0.04040168676260648 - 0.003831181153916601im   0.008375192624253562 + 0.026017406498825776im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.001921238890600909 - 0.03363442082815954im   0.006474249451413653 + 0.00025166747509087215im
  -0.03454586086168831 + 0.011439674823526577im  0.014377176552898453 - 0.0047999000725448895im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.0054538617463376834 + 0.003574117113236631im   -0.009031562778563906 + 0.019591691180347814im
   0.003988425848955364 + 0.005658350612219869im  -0.0009021105697751786 - 0.01790701736988638im

[:, :, 1, 2, 1, 2, 1, 1] =
  0.056369722955904755 - 0.0017596187925119806im  0.07127302129185092 + 0.037987678179119855im
 -0.006931127245307231 - 0.046268477229073846im   0.04052411384296872 - 0.060937183054293194im

[:, :, 2, 2, 1, 2, 1, 1] =
  -0.02579007668531947 + 0.0008091268801713785im  -0.040401686762606664 + 0.003831181153916686im
 0.0027960357573640292 - 0.0074492974642799im       0.00837519262425355 - 0.026017406498825824im

[:, :, 1, 1, 2, 2, 1, 1] =
   0.03430519448344697 - 1.7177490386000523e-17im  0.0020721117826743955 - 0.014548758683457065im
 0.0020721117826744033 + 0.014548758683457043im     0.024742021034247746 + 1.554171536300197e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
  0.014487971161161345 - 0.04321652220616817im  -0.003496511518001001 - 0.020921015626145335im
 -0.010827985509410136 - 0.04258689132366262im   0.008577277516432577 - 0.022379294732500592im

[:, :, 1, 2, 2, 2, 1, 1] =
   0.01448797116116147 + 0.04321652220616805im  -0.010827985509410106 + 0.042586891323662404im
 -0.003496511518000982 + 0.02092101562614539im    0.00857727751643266 + 0.022379294732500762im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.07914461199325729 - 1.533917578349413e-17im    0.085817445689171 + 0.032085784672818855im
 0.08581744568917106 - 0.03208578467281888im    0.12893713492067854 - 1.9921960498187063e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.048929279874803486 - 0.04134019266019946im    0.03941340249951019 - 0.04321756793477713im
  -0.03782651004222107 + 0.01161094033963176im  -0.016867016899088587 - 0.02682347944766619im

[:, :, 2, 1, 1, 1, 2, 1] =
 0.006613519446074759 - 0.017809298874633506im   0.025149537236856676 - 0.013274868363214667im
 -0.05430955913216629 + 0.005472357267128383im  -0.018598877946432064 - 0.04921973409536428im

[:, :, 1, 2, 1, 1, 2, 1] =
  0.01284965970376417 + 0.020602974509962402im   0.010649216390588984 - 0.007015600693850896im
 0.028608834945628905 + 0.007494420619041493im  -0.008400786149654756 - 0.01763791267449683im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.03453818200637769 + 0.0005399403863780444im   0.024734145344124898 + 0.015342777979021092im
 0.026502784247308897 + 0.024975292145216668im   0.0034219861984501254 - 0.028535806267145674im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.00921096866991214 + 0.07849437983200881im   -0.0661722276821957 + 0.025994480420591517im
 -0.02377572759158171 - 0.01193619848009275im  0.008439939064389938 - 0.01167095644815155im

[:, :, 2, 1, 2, 1, 2, 1] =
  0.009103481744805849 + 0.01691457722932618im   -0.009067452295776181 - 0.006357076182540804im
 -0.012671588673519227 + 0.004898346758408695im   0.015519293681530124 - 0.024565683848795514im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.031036301453172162 - 0.04445070409255045im    -0.039584469952946455 + 0.001329320019380964im
 0.021295914287403527 + 0.008019378049579185im  -0.0069987881582928985 - 0.00887840875593522im

[:, :, 2, 2, 2, 1, 2, 1] =
  -0.02265786211255463 - 0.01108879425329845im  0.011564456138894404 + 0.010292532282494164im
 -0.019147641593536633 - 0.02198081714340904im  0.011981498805489321 + 0.021435050162446692im

[:, :, 1, 1, 1, 2, 2, 1] =
  -0.03420361047062971 + 0.029024924771762158im   -0.00907849039058699 + 0.009431961993643823im
 -0.007085708578537839 + 0.017430640121538568im  -0.012847653477762625 + 0.019941741945502613im

[:, :, 2, 1, 1, 2, 2, 1] =
  0.014887448480511782 + 0.005450031861413861im   0.016458226563363328 - 0.03344590193012756im
 -0.003206316101702522 + 0.017621105014604104im  -0.026069454779925193 + 0.00857001375042347im

[:, :, 1, 2, 1, 2, 2, 1] =
 -0.06112564413868063 - 0.04873916721621252im   -0.04479335845101011 - 0.08727924871208015im
 -0.05041629026621389 - 0.002614265755146082im  -0.06972343305356127 - 0.017002366275070555im

[:, :, 2, 2, 1, 2, 2, 1] =
 0.027556247650226847 + 0.009017041642562618im   0.04445782317649637 - 0.006346021898682415im
 -0.05283702057902125 - 0.01394233623001106im   -0.07833225052405543 - 0.044559013948946284im

[:, :, 1, 1, 2, 2, 2, 1] =
  0.028374845115807918 + 0.01037478277904154im    0.021396252149047394 + 0.03500662326746448im
 -0.023734630414670357 + 0.010717840486650294im  -0.010475585178108803 + 0.02031308913771986im

[:, :, 2, 1, 2, 2, 2, 1] =
 0.031406822612297464 + 0.004503388666379365im  0.01809855234169965 - 0.02409392748257912im
 0.018959060217234865 + 0.0352189701856286im    0.03698184105394368 - 0.014806202340944164im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.020135555204911167 + 0.08532209520397205im  -0.06061511779148425 + 0.12083376933879392im
 -0.040137117897620506 - 0.02707196187167289im  -0.03861404845309673 - 0.036615859313950824im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.025688924790400712 + 0.04253556221347855im   0.020251780439871164 + 0.04012725127905229im
 -0.01468272545337729 + 0.04581418105090167im  -0.007020384540396599 + 0.026906646382660084im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.0489292798748034 + 0.04134019266019951im   -0.03782651004222107 - 0.0116109403396319im
 0.03941340249951016 + 0.043217567934777im    -0.016867016899088507 + 0.026823479447666287im

[:, :, 2, 1, 1, 1, 1, 2] =
  0.01284965970376407 - 0.02060297450996238im    0.028608834945628905 - 0.007494420619041601im
 0.010649216390588818 + 0.007015600693850873im  -0.008400786149654723 + 0.017637912674496672im

[:, :, 1, 2, 1, 1, 1, 2] =
 0.006613519446074925 + 0.017809298874633527im  -0.05430955913216632 - 0.005472357267128514im
  0.02514953723685659 + 0.013274868363214537im  -0.01859887794643226 + 0.04921973409536427im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.03453818200637759 - 0.0005399403863778869im   0.026502784247308946 - 0.024975292145216647im
  0.02473414534412484 - 0.015342777979021022im   0.0034219861984500512 + 0.028535806267145598im

[:, :, 1, 1, 2, 1, 1, 2] =
 -0.034203610470629586 - 0.029024924771762092im  -0.007085708578537797 - 0.017430640121538554im
 -0.009078490390586946 - 0.00943196199364393im   -0.012847653477762549 - 0.019941741945502602im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.061125644138680685 + 0.04873916721621253im  -0.050416290266213935 + 0.0026142657551460387im
   -0.0447933584510101 + 0.08727924871208004im   -0.06972343305356113 + 0.01700236627507063im

[:, :, 1, 2, 2, 1, 1, 2] =
 0.014887448480511788 - 0.005450031861413875im  -0.003206316101702463 - 0.017621105014604163im
 0.016458226563363283 + 0.03344590193012757im   -0.026069454779925172 - 0.00857001375042345im

[:, :, 2, 2, 2, 1, 1, 2] =
 0.027556247650226982 - 0.009017041642562552im  -0.05283702057902122 + 0.01394233623001093im
   0.0444578231764963 + 0.006346021898682433im  -0.07833225052405537 + 0.044559013948946125im

[:, :, 1, 1, 1, 2, 1, 2] =
 0.009210968669912115 - 0.07849437983200894im   -0.02377572759158166 + 0.011936198480092731im
 -0.06617222768219563 - 0.025994480420591513im   0.00843993906438999 + 0.0116709564481516im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.031036301453172203 + 0.04445070409255028im     0.021295914287403444 - 0.008019378049579185im
 -0.039584469952946455 - 0.0013293200193808807im  -0.006998788158292971 + 0.008878408755935326im

[:, :, 1, 2, 1, 2, 1, 2] =
    0.0091034817448057 - 0.01691457722932611im   -0.012671588673519245 - 0.004898346758408778im
 -0.009067452295776227 + 0.006357076182540755im    0.01551929368153018 + 0.024565683848795507im

[:, :, 2, 2, 1, 2, 1, 2] =
 -0.02265786211255469 + 0.011088794253298475im  -0.019147641593536616 + 0.02198081714340898im
  0.01156445613889441 - 0.010292532282494113im    0.01198149880548928 - 0.02143505016244674im

[:, :, 1, 1, 2, 2, 1, 2] =
  0.02837484511580798 - 0.010374782779041488im  -0.02373463041467037 - 0.010717840486650324im
 0.021396252149047376 - 0.035006623267464315im  -0.01047558517810877 - 0.02031308913772001im

[:, :, 2, 1, 2, 2, 1, 2] =
 -0.02013555520491097 - 0.08532209520397217im   -0.04013711789762058 + 0.02707196187167293im
 -0.06061511779148415 - 0.120833769338794im    -0.038614048453096884 + 0.036615859313950685im

[:, :, 1, 2, 2, 2, 1, 2] =
  0.03140682261229759 - 0.004503388666379275im  0.018959060217234765 - 0.03521897018562856im
 0.018098552341699565 + 0.024093927482579207im   0.03698184105394371 + 0.014806202340944255im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.025688924790400837 - 0.04253556221347864im  -0.014682725453377244 - 0.04581418105090169im
   0.0202517804398713 - 0.04012725127905219im   -0.00702038454039652 - 0.026906646382660052im

[:, :, 1, 1, 1, 1, 2, 2] =
  0.08142485828362092 - 1.9388377143151598e-17im  0.03668592773047027 + 0.03535350298003727im
 0.036685927730470295 - 0.035353502980037206im    0.04527535727403902 + 1.2690800521176745e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.013945285356407008 + 0.01563710050514702im  -0.03817987716428659 + 0.009396534965075885im
   0.05076218820029287 - 0.03363551021422535im  0.050724537174190246 + 0.02010434173511635im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.01394528535640709 - 0.015637100505147078im   0.05076218820029286 + 0.03363551021422555im
 -0.03817987716428656 - 0.009396534965075854im  0.050724537174190426 - 0.02010434173511627im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.05772165462001386 - 1.2910317376503656e-16im  -0.03169090541808365 + 0.037075723767605234im
 -0.031690905418083615 - 0.03707572376760525im      0.07168799712245658 + 6.302520536500158e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.052697433416250695 - 0.07731127780440372im   0.022962422949773024 - 0.07956807894412227im
  0.043411695662687065 - 0.005688555358606726im  0.033207228801183465 + 0.011235166733571129im

[:, :, 2, 1, 2, 1, 2, 2] =
  -0.03838514852171893 - 0.014203150480598468im  -0.029059819179361287 - 0.017330265529822784im
 -0.007705634892288155 - 0.034105700587529736im  -0.016125663308645923 - 0.025353064089807413im

[:, :, 1, 2, 2, 1, 2, 2] =
  -0.04415795254776243 + 0.056077367824821436im  -0.00948764692117004 - 0.10454487251558976im
 -0.032646446017912736 - 0.004911126837953233im   0.03548585685762985 - 0.0016385205231996855im

[:, :, 2, 2, 2, 1, 2, 2] =
  0.04105324250725914 + 0.010307444012725498im  -0.030139551193926282 - 0.0013446349195046794im
 0.042071466964251576 + 0.036999446466978704im  -0.024429006089577866 - 0.0039163381800281045im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.052697433416250744 + 0.07731127780440378im  0.04341169566268701 + 0.0056885553586067065im
  0.022962422949773013 + 0.07956807894412218im   0.0332072288011836 - 0.011235166733571013im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.044157952547762516 - 0.0560773678248215im   -0.032646446017912806 + 0.004911126837953186im
 -0.009487646921170047 + 0.10454487251558989im    0.03548585685762997 + 0.0016385205231996408im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.038385148521718974 + 0.014203150480598765im  -0.007705634892288191 + 0.034105700587529875im
 -0.029059819179361256 + 0.017330265529822694im  -0.016125663308646038 + 0.025353064089807496im

[:, :, 2, 2, 1, 2, 2, 2] =
   0.04105324250725928 - 0.010307444012725389im     0.04207146696425166 - 0.036999446466978704im
 -0.030139551193926285 + 0.0013446349195046848im  -0.024429006089577966 + 0.003916338180028164im

[:, :, 1, 1, 2, 2, 2, 2] =
    0.15604903989630436 + 7.55285261888686e-17im  -0.003492678182021521 - 0.058183176756314285im
 -0.0034926781820215076 + 0.058183176756314306im     0.0347737165738389 + 1.8070514179076469e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.01138586466613519 - 0.050883841990377786im   -0.03659784186824817 - 0.012229130017822063im
 0.02127228810810288 - 0.036557760916386545im  -0.022136481136140418 - 0.03461659531937913im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.011385864666135262 + 0.05088384199037794im     0.02127228810810283 + 0.036557760916386496im
 -0.03659784186824808 + 0.012229130017821877im  -0.022136481136140362 + 0.034616595319378975im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.04703179219555683 + 5.4769566508617884e-17im  0.04349852092788552 - 0.03538036132403056im
 0.043498520927885496 + 0.03538036132403063im      0.0746025681468617 + 4.9095137355998026e-17im
get_trace(ρ) = 1.0000000000000009 + 2.5309351984987296e-16im
get_trace_moment(ρ, 2) = 0.593383351601035
get_trace_moment(ρ, 3) = 0.390075027401555 + 9.584347204771859e-17im
purity_1 = 0.43760379651373993
purity_2 = 0.43760379651373915
trrho3_1 = 0.22367437618676614
trrho3_2 = 0.22367437618676522 + 8.326672684688674e-17im
purity = 0.593383351601035
p2 = 0.593383351601035
trrho3 = 0.390075027401555 + 9.584347204771859e-17im
p3 = 0.12424304418190732 + 2.6020852139652106e-18im
Cost function 0.934493857745436
Cost function -0.0631355259259072
Cost function -0.06313552592590718
Cost function -0.0631355259259072
Cost function -0.06313552592590718
Cost function -0.06313552592590718
Cost function -0.06313552592590718
norm(ψ_sum_approx - ψ_sum) = 2.716822870903453e-16
 51.348640 seconds (28.05 M allocations: 1.573 GiB, 1.14% gc time, 99.43% compilation time)
Running test_trace_moments.jl
  8.652248 seconds (6.31 M allocations: 342.794 MiB, 1.36% gc time, 99.92% compilation time)
  0.000419 seconds (820 allocations: 192.258 KiB)
  1.220378 seconds (326.26 k allocations: 18.451 MiB, 99.64% compilation time)
dense_moments_4_batches = 0.9999999999999991
dense_moments_nu_batches = 0.9999999999999994
factorized_moments = 0.9999999999999997
  0.835382 seconds (339.59 k allocations: 19.262 MiB, 99.24% compilation time)
  0.001692 seconds (4.92 k allocations: 1.860 MiB)
  0.687957 seconds (422.49 k allocations: 42.738 MiB, 95.76% compilation time)
dense_moments_4_batches = -1.5039126620592242
dense_moments_nu_batches = 0.30618994324095156
factorized_moments = 0.30618994324095256
  0.337567 seconds (132.33 k allocations: 10.129 MiB, 97.63% compilation time)
  0.070118 seconds (19.52 k allocations: 8.898 MiB, 87.98% gc time)
  1.038871 seconds (5.56 M allocations: 978.173 MiB, 15.47% gc time, 9.10% compilation time)
dense_moments_4_batches = -4.756079947241433
dense_moments_nu_batches = -0.9790705153755641
factorized_moments = -0.979070515375566
  0.350656 seconds (142.41 k allocations: 11.901 MiB, 97.41% compilation time)
  0.017894 seconds (48.62 k allocations: 24.446 MiB)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 16.428033 seconds (93.73 M allocations: 16.660 GiB, 14.45% gc time, 0.53% compilation time)
dense_moments_4_batches = -76.51663339057845
dense_moments_nu_batches = -13.856302710293123
factorized_moments = -13.856302710293072
 30.691658 seconds (107.31 M allocations: 18.106 GiB, 8.84% gc time, 42.95% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  14m58.4s
     Testing RandomMeas tests passed 

Testing completed after 925.69s

PkgEval succeeded after 1146.98s