Package evaluation of RandomMeas on Julia 1.13.0-DEV.888 (0e1aa6c7eb*) started at 2025-07-23T06:21:31.427


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 9.33s


################################################################################
# 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 v1.7.0
  [682c06a0] + JSON v0.21.4
  [aa1ae85d] + JuliaInterpreter v0.10.3
  [0b1a1467] + KrylovKit v0.9.5
  [b964fa9f] + LaTeXStrings v1.4.0
  [23fbe1c1] + Latexify v0.16.8
  [2ab3a3ac] + LogExpFunctions v0.3.29
  [e6f89c97] + LoggingExtras v1.1.0
  [6f1432cf] + LoweredCodeUtils v3.4.2
  [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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  [41fe7b60] + Unzip v0.2.0
  [409d34a3] + VectorInterface v0.5.0
  [bd1ec220] + Zeros v0.3.0
  [a5390f91] + ZipFile v0.10.1
  [e88e6eb3] + Zygote v0.7.10
  [700de1a5] + ZygoteRules v0.2.7
  [6e34b625] + Bzip2_jll v1.0.9+0
  [83423d85] + Cairo_jll v1.18.5+0
  [ee1fde0b] + Dbus_jll v1.16.2+0
  [2702e6a9] + EpollShim_jll v0.0.20230411+1
  [2e619515] + Expat_jll v2.6.5+0
⌅ [b22a6f82] + FFMPEG_jll v4.4.4+1
  [a3f928ae] + Fontconfig_jll v2.16.0+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.0+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.0+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
  [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 v0.15.2+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 6.05s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 212.74s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_3ZLjGx/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_3ZLjGx/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 v1.7.0
  [682c06a0] JSON v0.21.4
  [aa1ae85d] JuliaInterpreter v0.10.3
  [0b1a1467] KrylovKit v0.9.5
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.8
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [6f1432cf] LoweredCodeUtils v3.4.2
  [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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⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
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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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  [8e850b90] libblastrampoline_jll v5.13.1+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
105.336625 seconds (98.77 M allocations: 5.245 GiB, 2.57% gc time, 99.88% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9966030303030299
overlap = 0.13089999999999996
fidelity = 0.13265363042326195
exact_fidelity = 0.14555083387984763
XEB = 0.89694871401079
self_XEB = 0.9519954768992707
 95.711828 seconds (72.33 M allocations: 3.963 GiB, 2.07% gc time, 99.60% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.979480 seconds (5.37 M allocations: 300.908 MiB, 1.21% gc time, 98.77% 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=647|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=647|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.541952639413958 - 0.08757033045301213im  0.8188793285127509 + 0.1674975199550756im
 0.4842713572976705 + 0.6812488725551527im   0.2992061218818751 + 0.46027917916392186im, ITensor ord=2
Dim 1: (dim=2|id=201|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=201|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.3492005353025678 - 0.5687995521297105im   0.28001714147724843 - 0.6900119246218512im
 0.7351464134139593 - 0.11868364034707035im  -0.6324669054357117 + 0.2132124712279597im, ITensor ord=2
Dim 1: (dim=2|id=510|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=510|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.5463212386450533 + 0.028666755551234067im   0.34506749506363393 + 0.7626530962252818im
 0.11233173276485092 + 0.8295136545865575im    -0.47823506287863804 + 0.2656687849597028im, ITensor ord=2
Dim 1: (dim=2|id=952|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=952|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
   0.7334761432829877 - 0.4425832354868451im    0.496734478940748 - 0.13923966508209293im
 -0.47752415887914396 + 0.19520119002576827im  0.8506601806086742 - 0.10121477276616836im], Index{Int64}[(dim=2|id=647|"Qubit,Site,n=1"), (dim=2|id=201|"Qubit,Site,n=2"), (dim=2|id=510|"Qubit,Site,n=3"), (dim=2|id=952|"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
114.760605 seconds (72.57 M allocations: 3.946 GiB, 1.08% gc time, 99.81% 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.
 11.642361 seconds (4.85 M allocations: 324.259 MiB, 0.46% gc time, 97.14% compilation time)
Running test_measurement_probability.jl
  0.265257 seconds (234.44 k allocations: 12.959 MiB, 83.12% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_9q8EJV/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.970998 seconds (1.67 M allocations: 92.152 MiB, 2.46% gc time, 94.60% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.14555083387984757
expect_batch = 0.15921957000005568 - 3.901245345731458e-18im
expect_dense = 0.15921957000005588 - 3.744205880517984e-18im
expect_factorized = 0.1592195700000559 + 1.701892005686899e-19im
 18.433762 seconds (14.36 M allocations: 1.104 GiB, 1.47% gc time, 94.87% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:36
Progress: 100%|█████████████████████████████████████████| Time: 0:01:09
Cost function 0.5835764277938735
Cost function -0.6512175338553472

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.6512175338553473
Cost function -0.6512175338553475

Progress: 100%|█████████████████████████████████████████| Time: 0:00:04
Cost function -0.6512175338553471
building shallow map
inversing shallow map
initial loss 0.9579671522987674
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 199.57 s: f = 0.000120828103, ‖∇f‖ = 2.4623e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
441.978210 seconds (308.79 M allocations: 17.463 GiB, 1.49% 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=947|"Qubit,Site,n=1")
Dim 2: (dim=2|id=243|"Qubit,Site,n=2")
Dim 3: (dim=2|id=180|"Qubit,Site,n=3")
Dim 4: (dim=2|id=674|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
  0.005687669533957024 + 0.06820180294983444im   -0.09333709848044322 + 0.06691722138320474im
 -0.029854844306085513 - 0.039302260238510016im   0.02261081716291631 - 0.10019516761622832im

[:, :, 2, 1] =
 -0.21279496162704223 - 0.32280876156628213im  -0.2626191912364111 - 0.2594680396473046im
  -0.3750149534684379 + 0.12081125760285369im  0.04859378733494562 - 0.18506748683318994im

[:, :, 1, 2] =
 0.058174485252186915 - 0.10944491493460903im   0.2227911666515541 + 0.09621203441952172im
 -0.13684232618181352 - 0.0595210393233997im   -0.1725334389011735 + 0.05017206434991622im

[:, :, 2, 2] =
 -0.29609934055388454 + 0.22235883038170876im  -0.24409629677876546 + 0.32609122154354003im
 -0.11143863405678771 + 0.05693765252749501im  -0.12829180081209843 - 0.16599038350644799im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=947|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=947|"Qubit,Site,n=1")
Dim 3: (dim=2|id=243|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=243|"Qubit,Site,n=2")
Dim 5: (dim=2|id=180|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=180|"Qubit,Site,n=3")
Dim 7: (dim=2|id=674|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=674|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
   0.00895874281665513 + 4.241952925854687e-17im  -0.00227503952744554 - 0.0021333394390276555im
 -0.002275039527445489 + 0.00213333943902749im    0.001850550857372568 - 5.298099426790266e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
  -0.005326587474497806 + 0.0012682082256666209im  -1.463444154422766e-5 - 0.002555746891905316im
 -0.0011313646052093413 - 0.0019214058361101429im  0.0020410792405227856 + 0.0021956560927922962im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.005326587474498147 - 0.001268208225666613im   -0.0011313646052092349 + 0.0019214058361100815im
 -1.463444154424546e-5 + 0.0025557468919055453im   0.0020410792405228177 - 0.0021956560927923465im

[:, :, 2, 2, 1, 1, 1, 1] =
 0.023026553885681325 - 8.43791679491884e-17im  -0.011012033377476896 - 0.00828906953495046im
 -0.01101203337747672 + 0.008289069534950478im   0.009653602817909005 - 8.064281253682649e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 -0.01465906347237911 + 0.011212013474906135im   0.013605118161839532 + 0.0005332286663016837im
 0.016313345252335618 + 0.011406958516590914im  0.0028583795932966435 - 0.01433055022295162im

[:, :, 2, 1, 2, 1, 1, 1] =
  -0.01824486667785325 + 0.001121826358053797im   0.01128347826712436 - 0.0005586929488188903im
 -0.029079485374098636 - 0.008618646850991129im  0.004236333513612201 + 0.00858913526716938im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.004934637180532652 + 0.028676726832626988im    0.02009336225771977 - 0.018442964605421032im
  0.017131354855758233 + 0.0270059003872193im    -0.006314945077103698 - 0.027826999609018008im

[:, :, 2, 2, 2, 1, 1, 1] =
 0.01822281720582059 + 0.04122519233906473im    0.011833760650379757 - 0.02941257559215811im
 0.02086218777950011 + 0.005366654526499563im  0.0013661832561100069 - 0.00460297640139027im

[:, :, 1, 1, 1, 2, 1, 1] =
 -0.014659063472379212 - 0.011212013474905995im   0.016313345252335545 - 0.011406958516591051im
  0.013605118161839609 - 0.0005332286663015858im  0.002858379593296505 + 0.014330550222951769im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.004934637180532798 - 0.028676726832626974im    0.01713135485575829 - 0.027005900387219405im
   0.02009336225771994 + 0.01844296460542111im   -0.006314945077103765 + 0.027826999609018147im

[:, :, 1, 2, 1, 2, 1, 1] =
 -0.018244866677853334 - 0.0011218263580535738im  -0.02907948537409867 + 0.008618646850991112im
  0.011283478267124506 + 0.0005586929488191283im  0.004236333513612367 - 0.00858913526716936im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.018222817205820436 - 0.04122519233906492im     0.02086218777950014 - 0.005366654526499436im
 0.011833760650379799 + 0.029412575592157986im  0.0013661832561099106 + 0.004602976401390083im

[:, :, 1, 1, 2, 2, 1, 1] =
 0.10605389156480688 - 1.6419935413460135e-17im  0.029079340055546788 + 0.10965677192662708im
 0.02907934005554693 - 0.10965677192662664im         0.14274974487803 + 4.910435054611058e-16im

[:, :, 2, 1, 2, 2, 1, 1] =
  0.09212080817366335 - 0.02163653795274544im  0.049553802479691794 + 0.062404632229016835im
 0.026536100546075015 + 0.04539429000621597im  -0.06489154184981638 + 0.007577613973089985im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.09212080817366336 + 0.021636537952745213im  0.026536100546075105 - 0.045394290006215816im
 0.04955380247969192 - 0.062404632229016384im  -0.06489154184981602 - 0.007577613973089807im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.1184607914770198 - 4.936393860114368e-17im  0.05216115522807148 - 0.010200340646699398im
 0.0521611552280715 + 0.010200340646699429im   0.10461131117609626 - 8.642762932203552e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 -0.008398704858670638 - 0.0044778311659398546im  0.0017705177196791202 + 0.0044682912582011255im
 -0.008442773831982057 - 0.005037088816084695im   0.0030215004195772405 - 0.001192931529814471im

[:, :, 2, 1, 1, 1, 2, 1] =
  0.006510605153930274 - 0.006588365545827483im  -0.006795880315022948 + 0.0037812898510214757im
 -0.005509785158315661 + 0.019974851141890758im   0.004337082408093622 - 0.005265021521251031im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.003272498539312412 + 0.004169480683298931im     0.006559996943423923 + 0.0012891591477909511im
   0.02029951497363571 + 0.02348457311416661im   -0.00027825181747091884 - 0.018041303723288507im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.013756544217149065 - 0.021353912981774255im  -0.002861469894166726 + 0.01952730693550824im
  0.016962574269773933 - 0.0161406281039831im    -0.011676230766921238 - 0.00463404559871159im

[:, :, 1, 1, 2, 1, 2, 1] =
 0.006193087202619788 + 0.01493291032312698im   0.00021688804137545876 - 0.012295044469733517im
 0.007753079832036986 + 0.019429358290227752im   0.0026054542400380278 - 0.005773527213349543im

[:, :, 2, 1, 2, 1, 2, 1] =
   0.01395177846574515 + 0.02575063136270425im   -0.0018903218426607332 - 0.014062737075669733im
 -0.011749686482569516 + 0.010265797688649918im    0.008141880494222193 + 0.00020729210616254531im

[:, :, 1, 2, 2, 1, 2, 1] =
   0.03446958720805759 - 0.0025037173336884926im  -0.022309316087269153 - 0.017556527724043678im
 -0.006354853634946648 - 0.015086799926780832im   -0.003404349595532364 + 0.002218466474759968im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.024364165230327826 - 0.028627091625356874im  -0.028136758702129443 - 0.003982731591321762im
 0.002441912702602825 + 0.007949386529253234im   0.007158466200385757 - 0.008872360842540557im

[:, :, 1, 1, 1, 2, 2, 1] =
  0.01458585628026234 + 0.030493592517250676im  -0.030190624258207042 + 0.016946851071050886im
 0.027744308134977864 - 0.023165600270274936im    0.03409448874855543 - 0.0030344499586534655im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.05312810267453426 + 0.03661974155667894im   -0.052667050489815875 - 0.03506426877498588im
  0.01707977302658742 - 0.040239870547425415im   0.020061976797785378 + 0.017007671970882782im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.014380583747120361 + 0.025532486098560677im   0.02964823601783969 + 0.0050298630765536825im
  0.06096692433159379 - 0.013554127054156675im  0.032346778687499064 + 0.016074782360117286im

[:, :, 2, 2, 1, 2, 2, 1] =
  -0.06600337221839299 + 0.02155661420362925im  -0.012181468943296863 + 0.019956737807105038im
 0.0076285229022414885 - 0.06352931818665644im   0.002305238793094845 - 0.06922831118309657im

[:, :, 1, 1, 2, 2, 2, 1] =
 -0.00708949858724357 - 0.09871989822208636im   0.08976736922079577 - 0.0375034654099575im
  0.01099077114773301 - 0.0320085840202571im   0.028626378620589293 + 0.03063098386997395im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.03223878455036865 - 0.0998615982214534im        0.074566001615283 - 0.03862437197532311im
  0.05766145012026413 - 0.0015478008882899054im  0.006716987225837117 + 0.06052947681321527im

[:, :, 1, 2, 2, 2, 2, 1] =
  0.016956267772986762 - 0.10051119148628634im  -0.027119942663786974 - 0.033652843854031125im
 -0.019873018340466148 - 0.03245367816299428im   -0.04447273106176597 - 0.05708616395298862im

[:, :, 2, 2, 2, 2, 2, 1] =
 -0.03720401780713722 - 0.11630179075792202im    -0.06076133251069978 - 0.06721283311881016im
  0.04776295225674179 - 0.0029131562598842184im  0.024363064024984296 - 0.042789197627686903im

[:, :, 1, 1, 1, 1, 1, 2] =
 -0.008398704858670622 + 0.00447783116593981im   -0.00844277383198218 + 0.005037088816084683im
  0.001770517719679125 - 0.004468291258201231im  0.003021500419577247 + 0.0011929315298144993im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.0032724985393124788 - 0.004169480683299im        0.020299514973635732 - 0.023484573114166622im
  0.0065599969434241125 - 0.0012891591477908037im  -0.0002782518174710433 + 0.01804130372328859im

[:, :, 1, 2, 1, 1, 1, 2] =
   0.00651060515393048 + 0.006588365545827593im  -0.005509785158315773 - 0.019974851141890744im
 -0.006795880315022905 - 0.003781289851021479im   0.004337082408093797 + 0.005265021521251014im

[:, :, 2, 2, 1, 1, 1, 2] =
  -0.013756544217149192 + 0.02135391298177415im   0.01696257426977411 + 0.016140628103983177im
 -0.0028614698941667313 - 0.01952730693550823im  -0.01167623076692132 + 0.004634045598711594im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.014585856280262354 - 0.03049359251725073im   0.02774430813497797 + 0.02316560027027497im
 -0.030190624258206986 - 0.01694685107105088im  0.034094488748555696 + 0.003034449958653453im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.014380583747120519 - 0.025532486098560715im   0.06096692433159383 + 0.013554127054156647im
  0.02964823601783968 - 0.0050298630765536236im  0.03234677868749917 - 0.01607478236011709im

[:, :, 1, 2, 2, 1, 1, 2] =
 -0.05312810267453431 - 0.036619741556679165im  0.017079773026587402 + 0.04023987054742549im
   -0.052667050489816 + 0.0350642687749861im     0.02006197679778552 - 0.017007671970882782im

[:, :, 2, 2, 2, 1, 1, 2] =
  -0.06600337221839297 - 0.02155661420362948im   0.007628522902241275 + 0.06352931818665665im
 -0.012181468943296771 - 0.019956737807105114im   0.00230523879309487 + 0.06922831118309668im

[:, :, 1, 1, 1, 2, 1, 2] =
   0.006193087202619854 - 0.014932910323126974im   0.007753079832036961 - 0.019429358290227763im
 0.00021688804137542927 + 0.012295044469733573im  0.0026054542400381284 + 0.005773527213349605im

[:, :, 2, 1, 1, 2, 1, 2] =
  0.034469587208057706 + 0.002503717333688555im  -0.006354853634946724 + 0.015086799926780827im
 -0.022309316087269274 + 0.017556527724043505im  -0.003404349595532206 - 0.002218466474760026im

[:, :, 1, 2, 1, 2, 1, 2] =
   0.013951778465745263 - 0.02575063136270411im   -0.011749686482569561 - 0.010265797688649892im
 -0.0018903218426606881 + 0.014062737075669608im   0.008141880494222152 - 0.00020729210616269103im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.024364165230327722 + 0.02862709162535702im    0.0024419127026030323 - 0.007949386529253368im
 -0.02813675870212964 + 0.0039827315913218315im   0.007158466200385773 + 0.008872360842540564im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.007089498587243588 + 0.09871989822208636im   0.010990771147733377 + 0.032008584020257295im
   0.08976736922079595 + 0.037503465409957484im  0.028626378620589265 - 0.03063098386997399im

[:, :, 2, 1, 2, 2, 1, 2] =
  0.016956267772986665 + 0.10051119148628614im  -0.019873018340465898 + 0.03245367816299434im
 -0.027119942663786815 + 0.03365284385403125im  -0.044472731061765775 + 0.05708616395298874im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.03223878455036873 + 0.09986159822145362im   0.05766145012026416 + 0.0015478008882895966im
  0.07456600161528322 + 0.03862437197532335im  0.006716987225836982 - 0.0605294768132154im

[:, :, 2, 2, 2, 2, 1, 2] =
 -0.03720401780713735 + 0.11630179075792202im   0.04776295225674196 + 0.002913156259884149im
 -0.06076133251069983 + 0.06721283311881018im  0.024363064024984657 + 0.0427891976276868im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.01307686247081552 - 8.237048992730746e-17im  0.0045423628146209994 + 0.007239009988956312im
 0.00454236281462098 - 0.0072390099889563814im   0.042701575208914835 + 1.847983253985492e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 0.00026784725447667924 + 0.01901855949286929im     -0.03357931763181804 - 0.001140335667780042im
  -0.009111472129052266 - 0.019699456601749078im  -0.0021594223723093993 - 0.03666768638901531im

[:, :, 1, 2, 1, 1, 2, 2] =
 0.00026784725447672657 - 0.01901855949286927im     -0.009111472129052233 + 0.019699456601749044im
   -0.03357931763181819 + 0.0011403356677800217im  -0.0021594223723092314 + 0.0366676863890153im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.04377643795140425 - 1.0601646871926476e-16im  -0.017392858131145644 - 0.0261946059625342im
 -0.017392858131145612 + 0.02619460596253423im      0.055210120808874684 - 1.30843558466479e-16im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.027128653174218427 - 0.01429886301493473im    0.022162919882490983 - 0.04002979279233996im
 -0.015275705470318384 - 0.013321705340024683im  -0.024273491691082002 - 0.011524200545009071im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.037386020310707084 - 0.013238041793371735im  -0.015167942939604896 - 0.054085546474013826im
  0.008410210789120336 - 0.020204880216041634im   0.012574447541961024 - 0.0003325571025424774im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.031847812513375325 + 0.05669640074059339im   0.04751249705615795 - 0.009754271923849775im
 -0.003593585665918718 + 0.015368152812816026im  0.03669649689160057 - 0.031733078669969744im

[:, :, 2, 2, 2, 1, 2, 2] =
 -0.007964761597771314 + 0.07003203999983185im  0.06775057410732853 - 0.04576604595900642im
  -0.02868970002160401 - 0.01423709484278069im  0.02363057753128608 + 0.02518326741195131im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.02712865317421852 + 0.014298863014934925im  -0.015275705470318434 + 0.013321705340024668im
 0.022162919882491014 + 0.04002979279234006im    -0.02427349169108218 + 0.011524200545009146im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.031847812513375456 - 0.05669640074059354im   -0.0035935856659185515 - 0.015368152812816187im
   0.04751249705615793 + 0.009754271923849853im     0.03669649689160054 + 0.0317330786699699im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.03738602031070716 + 0.013238041793371829im  0.008410210789120335 + 0.020204880216041606im
 -0.01516794293960468 + 0.05408554647401411im   0.012574447541961067 + 0.00033255710254226427im

[:, :, 2, 2, 1, 2, 2, 2] =
 -0.007964761597771574 - 0.07003203999983196im  -0.02868970002160409 + 0.01423709484278077im
   0.06775057410732863 + 0.04576604595900631im  0.023630577531285852 - 0.0251832674119514im

[:, :, 1, 1, 2, 2, 2, 2] =
  0.09783656866760493 - 2.489533936359942e-18im  0.028615243980284717 + 0.002298369827228778im
 0.028615243980284838 - 0.0022983698272285285im   0.05017603143798792 + 1.9133509991221725e-16im

[:, :, 2, 1, 2, 2, 2, 2] =
   0.10151870064429115 - 0.03691402755502598im    0.06269784028261685 - 0.0017890214352328645im
 0.0025722493701769824 + 0.051579652757660105im  0.011931250026045798 + 0.03079352876875772im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.10151870064429126 + 0.03691402755502578im    0.002572249370177129 - 0.051579652757660105im
 0.06269784028261684 + 0.0017890214352332852im  0.011931250026045828 - 0.030793528768757888im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.14505575924161415 - 1.0057954080185938e-16im  -0.004772695186809374 - 0.06457012382296048im
 -0.00477269518680921 + 0.0645701238229605im       0.036801454739213625 - 1.2606018452129644e-16im
get_trace(ρ) = 1.0000000000000007 - 1.752962872914005e-16im
get_trace_moment(ρ, 2) = 0.6006467159004254
get_trace_moment(ρ, 3) = 0.40097007385063876 - 5.898059818321144e-17im
purity_1 = 0.659159638641794
purity_2 = 0.6591596386417923
trrho3_1 = 0.5022453451546101
trrho3_2 = 0.5022453451546076 + 8.998878031629687e-17im
purity = 0.6006467159004254
p2 = 0.6006467159004254
trrho3 = 0.40097007385063876 - 5.898059818321144e-17im
p3 = 0.20602745705444298 - 2.2551405187698492e-17im
Cost function 1.2111178189121545
Cost function -0.13700232735603118
Cost function -0.13700232735603124
Cost function -0.13700232735603127
Cost function -0.13700232735603127
Cost function -0.13700232735603124
Cost function -0.13700232735603118
norm(ψ_sum_approx - ψ_sum) = 2.302824996148683e-16
 53.395314 seconds (28.09 M allocations: 1.572 GiB, 0.94% gc time, 99.44% compilation time)
Running test_trace_moments.jl
  8.263100 seconds (6.37 M allocations: 345.692 MiB, 1.91% gc time, 99.92% compilation time)
  0.000397 seconds (820 allocations: 192.258 KiB)
  1.175456 seconds (325.68 k allocations: 18.429 MiB, 99.58% compilation time)
dense_moments_4_batches = 0.9999999999999994
dense_moments_nu_batches = 0.9999999999999997
factorized_moments = 0.9999999999999997
  0.863895 seconds (345.24 k allocations: 19.569 MiB, 99.29% compilation time)
  0.001720 seconds (4.92 k allocations: 1.860 MiB)
  0.691731 seconds (422.49 k allocations: 42.738 MiB, 95.63% compilation time)
dense_moments_4_batches = 2.0091135142687992
dense_moments_nu_batches = 1.5049007046289735
factorized_moments = 1.5049007046289757
  0.341736 seconds (138.56 k allocations: 10.451 MiB, 97.60% compilation time)
  0.006894 seconds (19.52 k allocations: 8.898 MiB)
  1.142250 seconds (5.56 M allocations: 978.173 MiB, 17.85% gc time, 7.56% compilation time)
dense_moments_4_batches = -2.8026204347752492
dense_moments_nu_batches = -2.6644234292646445
factorized_moments = -2.6644234292646467
  0.347386 seconds (149.34 k allocations: 12.248 MiB, 97.50% compilation time)
  0.017083 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
 16.385822 seconds (93.73 M allocations: 16.660 GiB, 14.15% gc time, 0.48% compilation time)
dense_moments_4_batches = -6.358722704229755
dense_moments_nu_batches = -0.09278256362664863
factorized_moments = -0.09278256362663996
 30.207944 seconds (107.39 M allocations: 18.110 GiB, 8.87% gc time, 42.00% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  14m40.9s
     Testing RandomMeas tests passed 

Testing completed after 909.82s

PkgEval succeeded after 1169.36s