Package evaluation of RandomMeas on Julia 1.13.0-DEV.922 (90e3c1a568*) started at 2025-07-30T05:31:04.903


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 10.41s


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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 v1.7.0
  [082447d4] + ChainRules v1.72.5
  [d360d2e6] + ChainRulesCore v1.25.2
  [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 v4.17.0
  [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 v0.4.4
  [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 v0.3.18
  [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 v0.10.4
  [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 v3.4.3
  [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 v1.40.17
  [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 v3.8.1
  [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
  [1986cc42] + Unitful v1.23.1
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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 v7.1.1+0
  [a3f928ae] + Fontconfig_jll v2.16.0+0
  [d7e528f0] + FreeType2_jll v2.13.4+0
  [559328eb] + FriBidi_jll v1.0.17+0
  [0656b61e] + GLFW_jll v3.4.0+2
  [d2c73de3] + GR_jll v0.73.17+0
  [b0724c58] + GettextRuntime_jll v0.22.4+0
  [7746bdde] + Glib_jll v2.84.3+0
  [3b182d85] + Graphite2_jll v1.3.15+0
  [2e76f6c2] + HarfBuzz_jll v8.5.1+0
  [aacddb02] + JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] + LAME_jll v3.100.3+0
  [88015f11] + LERC_jll v4.0.1+0
  [1d63c593] + LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] + LZO_jll v2.10.3+0
  [e9f186c6] + Libffi_jll v3.4.7+0
  [7e76a0d4] + Libglvnd_jll v1.7.1+1
  [94ce4f54] + Libiconv_jll v1.18.0+0
  [4b2f31a3] + Libmount_jll v2.41.0+0
  [89763e89] + Libtiff_jll v4.7.1+0
  [38a345b3] + Libuuid_jll v2.41.0+0
  [c8ffd9c3] + MbedTLS_jll v2.28.6+2
  [e7412a2a] + Ogg_jll v1.3.6+0
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.5.2+0
  [36c8627f] + Pango_jll v1.56.3+0
⌅ [30392449] + Pixman_jll v0.44.2+0
  [c0090381] + Qt6Base_jll v6.8.2+1
  [629bc702] + Qt6Declarative_jll v6.8.2+1
  [ce943373] + Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] + Qt6Wayland_jll v6.8.2+1
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.24.0+0
  [ffd25f8a] + XZ_jll v5.8.1+0
  [f67eecfb] + Xorg_libICE_jll v1.1.2+0
  [c834827a] + Xorg_libSM_jll v1.2.6+0
  [4f6342f7] + Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] + Xorg_libXau_jll v1.0.13+0
  [935fb764] + Xorg_libXcursor_jll v1.2.4+0
  [a3789734] + Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] + Xorg_libXext_jll v1.3.7+0
  [d091e8ba] + Xorg_libXfixes_jll v6.0.1+0
  [a51aa0fd] + Xorg_libXi_jll v1.8.3+0
  [d1454406] + Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] + Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] + Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] + Xorg_libxcb_jll v1.17.1+0
  [cc61e674] + Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] + Xorg_xcb_util_cursor_jll v0.1.5+0
  [12413925] + Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] + Xorg_xcb_util_jll v0.4.1+0
  [975044d2] + Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] + Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] + Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] + Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] + Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] + Xorg_xtrans_jll v1.6.0+0
  [35ca27e7] + eudev_jll v3.2.14+0
  [214eeab7] + fzf_jll v0.61.1+0
  [a4ae2306] + libaom_jll v3.12.1+0
  [0ac62f75] + libass_jll v0.17.4+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.13.4+0
  [f638f0a6] + libfdk_aac_jll v2.0.4+0
  [36db933b] + libinput_jll v1.28.1+0
  [b53b4c65] + libpng_jll v1.6.50+0
  [f27f6e37] + libvorbis_jll v1.3.8+0
  [009596ad] + mtdev_jll v1.1.7+0
  [1270edf5] + x264_jll v10164.0.1+0
  [dfaa095f] + x265_jll v4.1.0+0
  [d8fb68d0] + xkbcommon_jll v1.9.2+0
  [0dad84c5] + ArgTools v1.1.2
  [56f22d72] + Artifacts v1.11.0
  [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+0
  [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 6.77s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 164.32s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_i2vlus/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 v3.8.1
  [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_i2vlus/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 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 v4.17.0
  [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 v0.4.4
  [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 v0.3.18
  [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 v0.10.4
  [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 v3.4.3
  [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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  [a44049a8] Vulkan_Loader_jll v1.3.243+0
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  [efcefdf7] PCRE2_jll v10.45.0+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
113.728878 seconds (98.62 M allocations: 5.233 GiB, 2.34% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 1.0116484848484841
overlap = 0.20309349999999993
fidelity = 0.2086323494274116
exact_fidelity = 0.2288530678991135
XEB = 0.7373725651932201
self_XEB = 0.7896323539874557
101.651226 seconds (72.26 M allocations: 3.958 GiB, 1.99% gc time, 98.90% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  6.002170 seconds (5.36 M allocations: 300.481 MiB, 1.02% gc time, 98.82% compilation time: 5% of which was recompilation)
Running test_measurement_data.jl
imported_data.measurement_setting = LocalUnitaryMeasurementSetting(4, ITensor[ITensor ord=2
Dim 1: (dim=2|id=483|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=483|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.006389230553674796 + 0.48539347094231244im   0.8511627999708634 - 0.19968536262146508im
   0.5791314451339249 - 0.6549497120822316im   0.42442564343565925 + 0.23560670002086093im, ITensor ord=2
Dim 1: (dim=2|id=6|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=6|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.008359727989752708 + 0.5210554921647608im  0.15370007679102102 - 0.8395281862018156im
    0.6247098615808593 + 0.581522895401806im    0.3179236153992169 + 0.4129083260708295im, ITensor ord=2
Dim 1: (dim=2|id=440|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=440|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.3801940213671495 - 0.3846118297421408im   -0.6509820996948841 - 0.5326805350450846im
 0.14719821597436888 + 0.8281660049489118im  -0.15012780811933424 - 0.5195530720631016im, ITensor ord=2
Dim 1: (dim=2|id=983|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=983|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.023632292391111642 + 0.8956455840816209im  0.3821766672484301 + 0.22627747895518815im
  0.06445237447282642 - 0.4394387259860553im  0.6814512331591049 + 0.5816903938991104im], Index{Int64}[(dim=2|id=483|"Qubit,Site,n=1"), (dim=2|id=6|"Qubit,Site,n=2"), (dim=2|id=440|"Qubit,Site,n=3"), (dim=2|id=983|"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
124.323796 seconds (72.42 M allocations: 3.938 GiB, 0.95% 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.
 12.068020 seconds (4.85 M allocations: 323.707 MiB, 0.89% gc time, 97.14% compilation time)
Running test_measurement_probability.jl
  0.281550 seconds (231.04 k allocations: 12.681 MiB, 84.23% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_gfSNgI/tempfile.npz
All MeasurementSetting tests completed successfully!
  3.119542 seconds (1.67 M allocations: 92.036 MiB, 2.09% gc time, 94.56% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.2288530678991134
expect_batch = 0.267706001316197 - 1.3966250025313375e-17im
expect_dense = 0.2677060013161971 - 1.511807701314385e-18im
expect_factorized = 0.26770600131619676 - 8.007035542351328e-18im
 18.614042 seconds (14.35 M allocations: 1.104 GiB, 1.46% gc time, 95.26% 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 0.5471447448944284
Cost function -1.0399988784869343

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -1.0399988784869336
Cost function -1.039998878486935

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -1.0399988784869347
building shallow map
inversing shallow map
initial loss 1.0403729235703136
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 201.63 s: f = 0.014751609044, ‖∇f‖ = 6.8865e-02
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
451.007041 seconds (308.80 M allocations: 17.540 GiB, 1.41% gc time, 99.15% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=837|"Qubit,Site,n=1")
Dim 2: (dim=2|id=401|"Qubit,Site,n=2")
Dim 3: (dim=2|id=518|"Qubit,Site,n=3")
Dim 4: (dim=2|id=332|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
   -0.25136243731493 - 0.0994325673395059im   -0.022717210706636792 - 0.23561856677646636im
 0.15081309710293492 - 0.21662959101942295im     0.2952675999074067 + 0.22868103789429414im

[:, :, 2, 1] =
    -0.159038068143891 + 0.07829004597122824im  -0.2157842417833733 - 0.0012545963141978728im
 -0.057368994718914365 - 0.08065404005732373im  0.21845328385827945 - 0.2500613265348526im

[:, :, 1, 2] =
   0.02449006345124803 + 0.03703945044907447im   -0.09143251403111728 + 0.3585879296633621im
 -0.054858460283573246 + 0.006135190336893049im  0.019593845813597698 - 0.14014972388209312im

[:, :, 2, 2] =
 -0.020659495498038978 - 0.048264284509649286im  0.23920133031695578 + 0.061123855685276215im
  -0.05170834175446044 - 0.1980236808088613im     0.3056699225264682 + 0.3204537368096421im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=837|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=837|"Qubit,Site,n=1")
Dim 3: (dim=2|id=401|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=401|"Qubit,Site,n=2")
Dim 5: (dim=2|id=518|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=518|"Qubit,Site,n=3")
Dim 7: (dim=2|id=332|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=332|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
  0.06463570654913522 - 6.735718035188421e-17im  -0.011622032202401739 - 0.0401139819447124im
 -0.01162203220240169 + 0.04011398194471251im     0.054129935298093894 - 2.2840690027517062e-17im

[:, :, 2, 1, 1, 1, 1, 1] =
 0.0019337338880575376 + 0.015279793953361579im   0.049057392179488575 - 0.03965602357118773im
  -0.06340010725408977 - 0.026193603800380057im  0.0005408819713972686 + 0.07181260411959832im

[:, :, 1, 2, 1, 1, 1, 1] =
 0.0019337338880575216 - 0.015279793953361409im   -0.06340010725408964 + 0.026193603800379984im
  0.049057392179488665 + 0.039656023571187846im  0.0005408819713971745 - 0.0718126041195978im

[:, :, 2, 2, 1, 1, 1, 1] =
   0.10935791031441768 - 3.3085015528447686e-17im  -0.03666318474508731 - 0.06212452855148182im
 -0.036663184745087424 + 0.06212452855148174im      0.10225640839633682 + 9.23038973596246e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
 0.027522043427292142 - 0.021714273114509536im   -0.030695140701473105 - 0.012746136540652321im
 0.019213655995877276 - 0.0019141086992462634im   0.013765092604456922 - 0.014857466460901431im

[:, :, 2, 1, 2, 1, 1, 1] =
   0.01955800241268087 - 0.023610477045849357im  -0.016811434419249142 - 0.04440466167827488im
 -0.013738053814526863 + 0.059786960149834756im     0.0605254521463089 + 0.011317888825103511im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.022921574135504205 - 0.02266451067977567im   -0.02019613681905875 + 0.0450843188734693im
  0.031506168998848935 + 0.014795755793628934im  -0.01776172321776899 - 0.009809800468035519im

[:, :, 2, 2, 2, 1, 1, 1] =
 0.04503217969209872 - 0.05724168619816411im  -0.04667952921632663 + 0.022436452757118856im
 0.02672039609784175 + 0.05251269174357909im  0.007259108470121428 - 0.08294074124375751im

[:, :, 1, 1, 1, 2, 1, 1] =
  0.027522043427292083 + 0.02171427311450953im   0.019213655995877266 + 0.0019141086992462042im
 -0.030695140701473046 + 0.012746136540652344im  0.013765092604456828 + 0.01485746646090138im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.022921574135504254 + 0.022664510679775624im    0.03150616899884878 - 0.014795755793628854im
 -0.020196136819058696 - 0.045084318873469316im  -0.017761723217769015 + 0.009809800468035793im

[:, :, 1, 2, 1, 2, 1, 1] =
   0.01955800241268082 + 0.02361047704584949im  -0.013738053814526946 - 0.059786960149834804im
 -0.016811434419249326 + 0.0444046616782749im    0.060525452146308494 - 0.011317888825103484im

[:, :, 2, 2, 1, 2, 1, 1] =
 0.045032179692098905 + 0.0572416861981641im    0.026720396097841662 - 0.05251269174357895im
 -0.04667952921632653 - 0.022436452757118867im  0.007259108470121502 + 0.08294074124375748im

[:, :, 1, 1, 2, 2, 1, 1] =
   0.024567131127926387 - 7.18294354093418e-17im   0.00045149542548362706 - 0.006829553839441237im
 0.00045149542548352705 + 0.0068295538394412755im     0.01864677476135676 - 1.4308210767324023e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
  0.015067251409074738 + 0.013000016699927772im  0.011842411161448727 - 0.03103528922818689im
 -0.035190678721737326 + 0.014388837369804416im  0.006717910843934433 + 0.029078224071904333im

[:, :, 1, 2, 2, 2, 1, 1] =
 0.015067251409074738 - 0.013000016699927772im  -0.035190678721737284 - 0.0143888373698044im
 0.011842411161448865 + 0.031035289228186914im   0.006717910843934574 - 0.029078224071904087im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.06372221186404878 - 2.1811192805196514e-17im  -0.043163057222657134 - 0.041930260926774085im
 -0.0431630572226571 + 0.041930260926774134im      0.08114741906663092 - 1.9230804245744423e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.003185085075068795 - 0.0046611324566978385im  -0.0032492157117880067 + 0.013969941242685704im
 0.027259007280537255 - 0.0048000291328565035im   -0.007002533036964469 + 0.0036930242483451843im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.028318616211699878 - 0.05979926767295889im  -0.06988037253244968 + 0.011616883726596935im
  0.011970990119288745 + 0.01656113805235733im  0.029215655532945823 - 0.008139739177459276im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.020563547623788033 + 0.021612423920375882im   0.014256253467133842 + 0.0086456857337396im
 -0.025005397408327835 + 0.023609825974268604im  -0.004426469861853131 + 0.018783746141748443im

[:, :, 2, 2, 1, 1, 2, 1] =
 -0.048682322084588475 - 0.06947490020102436im     0.02739667813602406 + 0.0825692886039525im
  0.032307703724240605 + 0.028743892000718526im  -0.011941708081695954 - 0.03250706856768186im

[:, :, 1, 1, 2, 1, 2, 1] =
  0.01079682608822172 + 0.00803819855519348im  0.004471533761664579 - 0.005843612491999639im
 0.010882385097947842 + 0.03310129697855625im  0.023544936013197102 - 0.03633096207090955im

[:, :, 2, 1, 2, 1, 2, 1] =
 -0.06872400519783751 - 0.014179147889279665im   0.028906305692198438 + 0.02886403877543614im
  -0.0709486985564266 - 0.033200744811563335im  -0.017589972897315516 + 0.08339794290503652im

[:, :, 1, 2, 2, 1, 2, 1] =
 0.0012891235227446094 + 0.0029478893378748483im  -0.011210503907658147 - 0.004507641483892138im
  0.046521788932359455 - 0.029805511828054538im   -0.047259672448237734 - 0.037825901744784035im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.053363755668646366 + 0.025141523282363572im  0.06149213154069698 - 0.04310991873078126im
 -0.06823134202710894 + 0.05207948747284859im   0.11525771726426773 + 0.020415731982864553im

[:, :, 1, 1, 1, 2, 2, 1] =
 0.0030637449954455014 - 0.007747613005652174im   -0.0005926403518744534 + 0.008980470445762032im
  0.013135591012204509 - 0.0018264974421851928im     0.00645627600423746 + 0.012877688445010034im

[:, :, 2, 1, 1, 2, 2, 1] =
  0.024880310398521698 - 0.026822785939909263im  -0.030303631813800844 - 0.03451756532815877im
 -0.009963772198782148 + 0.0097142871062756im     0.017096149181664425 + 0.009361442307886485im

[:, :, 1, 2, 1, 2, 2, 1] =
  -0.01764501085904659 + 0.000799974922620043im   0.002715827324848173 + 0.009597500934878154im
 -0.016516227040511908 + 0.010673790001848496im  0.0002953394719180571 - 0.00939077444191571im

[:, :, 2, 2, 1, 2, 2, 1] =
  0.033857462061340375 - 0.08019978466660237im  -0.08685129099782372 + 0.044894658750144756im
 -0.004421883887463365 + 0.03786532067957713im    0.0301829622302979 - 0.023364320607878616im

[:, :, 1, 1, 2, 2, 2, 1] =
  0.001289571118055972 + 0.005986542688799272im  0.0036592830659643106 + 0.004442473478757047im
 -0.009102281571416543 + 0.028351269119801056im   0.008469553406329289 - 0.005260450291851958im

[:, :, 2, 1, 2, 2, 2, 1] =
  -0.03621668314262122 - 0.02214221924558745im   -0.0008466476428717357 - 0.014268057587920605im
 -0.014123496044902402 - 0.052913759747164224im    -0.03074567049681682 + 0.009500544015636181im

[:, :, 1, 2, 2, 2, 2, 1] =
 -0.002694906540383943 + 0.008407136517549235im  0.007388252008039708 - 0.010628895408951275im
  0.023227547424092485 + 0.019478597384992247im  0.020345914813000056 - 0.037809348078953586im

[:, :, 2, 2, 2, 2, 2, 1] =
 0.007627065946495071 + 0.003884674452757288im    0.01290588834985933 + 0.04132741813322349im
 -0.05474869904986597 - 0.04739562221524128im   -0.006488619524593778 + 0.10331860961193146im

[:, :, 1, 1, 1, 1, 1, 2] =
 0.0031850850750688225 + 0.004661132456697831im    0.02725900728053717 + 0.004800029132856535im
 -0.003249215711788111 - 0.013969941242685698im  -0.007002533036964517 - 0.0036930242483451383im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.02056354762378819 - 0.021612423920375875im   -0.025005397408327867 - 0.02360982597426845im
 0.014256253467133991 - 0.008645685733739694im  -0.0044264698618531745 - 0.018783746141748537im

[:, :, 1, 2, 1, 1, 1, 2] =
 -0.028318616211699905 + 0.0597992676729588im  0.011970990119288838 - 0.016561138052357375im
  -0.06988037253244964 - 0.0116168837265969im  0.029215655532945528 + 0.008139739177459086im

[:, :, 2, 2, 1, 1, 1, 2] =
 -0.04868232208458844 + 0.06947490020102443im   0.03230770372424077 - 0.02874389200071857im
  0.02739667813602428 - 0.08256928860395259im  -0.01194170808169593 + 0.03250706856768213im

[:, :, 1, 1, 2, 1, 1, 2] =
  0.0030637449954454238 + 0.007747613005652219im  0.013135591012204496 + 0.0018264974421852236im
 -0.0005926403518743363 - 0.008980470445762154im  0.006456276004237363 - 0.012877688445010079im

[:, :, 2, 1, 2, 1, 1, 2] =
 -0.017645010859046642 - 0.0007999749226200665im  -0.016516227040511942 - 0.010673790001848368im
 0.0027158273248482495 - 0.009597500934877984im    0.000295339471918352 + 0.009390774441915752im

[:, :, 1, 2, 2, 1, 1, 2] =
   0.02488031039852171 + 0.026822785939909256im  -0.009963772198782105 - 0.009714287106275674im
 -0.030303631813800892 + 0.03451756532815874im    0.017096149181663953 - 0.009361442307886363im

[:, :, 2, 2, 2, 1, 1, 2] =
  0.03385746206134044 + 0.0801997846666022im   -0.004421883887463451 - 0.0378653206795772im
 -0.08685129099782368 - 0.04489465875014488im   0.030182962230297893 + 0.023364320607878616im

[:, :, 1, 1, 1, 2, 1, 2] =
  0.010796826088221705 - 0.008038198555193422im  0.01088238509794786 - 0.033101296978556224im
 0.0044715337616645645 + 0.005843612491999621im  0.02354493601319727 + 0.03633096207090955im

[:, :, 2, 1, 1, 2, 1, 2] =
 0.0012891235227444446 - 0.0029478893378746887im    0.04652178893235946 + 0.029805511828054663im
 -0.011210503907658226 + 0.004507641483892174im   -0.047259672448237804 + 0.03782590174478419im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.06872400519783743 + 0.014179147889279726im   -0.07094869855642671 + 0.03320074481156329im
  0.02890630569219847 - 0.0288640387754361im    -0.017589972897315537 - 0.08339794290503653im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.05336375566864658 - 0.025141523282363697im  -0.06823134202710873 - 0.052079487472848705im
 0.06149213154069724 + 0.043109918730781446im   0.11525771726426788 - 0.020415731982864276im

[:, :, 1, 1, 2, 2, 1, 2] =
 0.0012895711180558574 - 0.005986542688799294im  -0.009102281571416487 - 0.028351269119800925im
  0.003659283065964426 - 0.004442473478757024im   0.008469553406329369 + 0.005260450291851867im

[:, :, 2, 1, 2, 2, 1, 2] =
 -0.0026949065403837485 - 0.00840713651754926im   0.023227547424092363 - 0.019478597384992174im
   0.007388252008039572 + 0.010628895408951414im  0.020345914813000236 + 0.037809348078953656im

[:, :, 1, 2, 2, 2, 1, 2] =
  -0.036216683142621074 + 0.022142219245587513im   -0.01412349604490242 + 0.05291375974716406im
 -0.0008466476428716108 + 0.014268057587920685im  -0.030745670496816813 - 0.009500544015635886im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.007627065946495058 - 0.0038846744527573605im  -0.054748699049865894 + 0.04739562221524109im
 0.012905888349859299 - 0.04132741813322371im    -0.006488619524593932 - 0.10331860961193165im

[:, :, 1, 1, 1, 1, 2, 2] =
 0.008904087168641262 - 5.4238239117902594e-18im  0.012687579098705985 - 0.0013979513925999865im
 0.012687579098705952 + 0.001397951392600003im    0.026246679276610372 + 4.0241790837078185e-17im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.0066856637078625105 + 0.01595040723914331im   -0.020882968452356723 - 0.00032039769514701535im
  0.0008256978450091503 - 0.010041082422864835im  0.0061502671323629505 - 0.007395886204995886im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.006685663707862645 - 0.01595040723914313im    0.0008256978450091212 + 0.010041082422864736im
  -0.02088296845235697 + 0.0003203976951469149im   0.006150267132362807 + 0.0073958862049959195im

[:, :, 2, 2, 1, 1, 2, 2] =
   0.13082357545546414 - 4.917468869632999e-17im  -0.051377673560180484 - 0.013639984390214332im
 -0.051377673560180234 + 0.01363998439021392im      0.02303565446529748 + 2.571370149652122e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 0.0012452217680541645 + 0.00040032020025514294im   0.005677456376852923 + 0.0032301160326783313im
 -0.014960921540012733 - 0.0005321428048592845im   -0.014895331672405155 + 0.010396851743742629im

[:, :, 2, 1, 2, 1, 2, 2] =
 -0.011254953119458698 - 0.019893831403123754im     -0.03899509674321392 - 0.03005266499130251im
  0.017408489353134816 - 0.0010639443343185828im  -0.0034757421295803625 - 0.011103424776802711im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.015570946115231691 + 0.004132715665824436im  0.005358111916921262 + 0.0003922128950882266im
  -0.02776420118114899 + 0.03156909582806399im   0.012375770818973371 - 0.01542747067706221im

[:, :, 2, 2, 2, 1, 2, 2] =
  0.01792980778255353 - 0.01897893516727622im  0.0019689189877096563 + 0.00017235325252861286im
 0.054829844326075426 - 0.10367013369873765im   -0.02642646219434266 + 0.038790505864134114im

[:, :, 1, 1, 1, 2, 2, 2] =
 0.0012452217680542534 - 0.000400320200255144im  -0.014960921540012733 + 0.0005321428048591685im
  0.005677456376852948 - 0.003230116032678324im  -0.014895331672405032 - 0.010396851743742632im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.015570946115231698 - 0.004132715665824265im   -0.027764201181148633 - 0.031569095828063866im
  0.005358111916921369 - 0.0003922128950880537im   0.012375770818973227 + 0.015427470677062181im

[:, :, 1, 2, 1, 2, 2, 2] =
 -0.011254953119458807 + 0.019893831403123632im    0.017408489353134615 + 0.001063944334318698im
  -0.03899509674321384 + 0.030052664991302564im  -0.0034757421295806526 + 0.011103424776802396im

[:, :, 2, 2, 1, 2, 2, 2] =
   0.01792980778255335 + 0.018978935167275855im     0.054829844326074996 + 0.10367013369873707im
 0.0019689189877098784 - 0.00017235325252868284im  -0.026426462194342484 - 0.038790505864133795im

[:, :, 1, 1, 2, 2, 2, 2] =
 0.0030731760038595524 - 4.4862265394406955e-17im  0.004190614834035178 - 0.002515765320655994im
  0.004190614834035288 + 0.0025157653206558626im    0.04025193492371514 + 5.232804257054208e-18im

[:, :, 2, 1, 2, 2, 2, 2] =
 -0.013298726932987852 + 0.00317086736755114im   1.6845967033492334e-5 + 0.051885845555579874im
 -0.013658760004702637 + 0.005855988603501544im   -0.05979384141445607 + 0.028365815807366787im

[:, :, 1, 2, 2, 2, 2, 2] =
 -0.013298726932987956 - 0.0031708673675510746im  -0.013658760004702583 - 0.005855988603501274im
 1.6845967033427546e-5 - 0.05188584555557994im     -0.05979384141445592 - 0.028365815807366787im

[:, :, 2, 2, 2, 2, 2, 2] =
  0.10968538040715842 - 6.794503205480107e-17im  0.05352278439000033 - 0.04506033507448968im
 0.053522784390000605 + 0.045060335074489526im   0.13951601492130727 + 3.198178296038778e-17im
get_trace(ρ) = 1.0 - 2.223943622820358e-16im
get_trace_moment(ρ, 2) = 0.5956985068645534
get_trace_moment(ρ, 3) = 0.3935477602968296 + 1.5265566588595902e-16im
purity_1 = 0.6016517019057467
purity_2 = 0.601651701905747
trrho3_1 = 0.4222583306422725
trrho3_2 = 0.42225833064227253 - 3.0357660829594124e-18im
purity = 0.5956985068645534
p2 = 0.5956985068645534
trrho3 = 0.3935477602968296 + 1.5265566588595902e-16im
p3 = 0.21450911061809072 - 1.1796119636642288e-16im
Cost function 1.036203833868072
Cost function -0.056815723099590945
Cost function -0.05681572309959095
Cost function -0.056815723099590945
Cost function -0.056815723099590945
Cost function -0.05681572309959096
Cost function -0.056815723099590966
norm(ψ_sum_approx - ψ_sum) = 2.807520119956146e-16
 55.834449 seconds (28.04 M allocations: 1.573 GiB, 0.99% gc time, 99.41% compilation time)
Running test_trace_moments.jl
  8.590430 seconds (6.31 M allocations: 342.725 MiB, 1.04% gc time, 99.92% compilation time)
  0.000420 seconds (820 allocations: 192.258 KiB)
  1.208464 seconds (326.25 k allocations: 18.451 MiB, 99.62% compilation time)
dense_moments_4_batches = 1.0
dense_moments_nu_batches = 1.0
factorized_moments = 1.0
  0.863689 seconds (339.60 k allocations: 19.289 MiB, 99.27% compilation time)
  0.001760 seconds (4.92 k allocations: 1.860 MiB)
  0.801162 seconds (422.49 k allocations: 42.739 MiB, 10.50% gc time, 85.04% compilation time)
dense_moments_4_batches = -0.3695393200376234
dense_moments_nu_batches = -0.6412753229564436
factorized_moments = -0.641275322956444
  0.354476 seconds (132.33 k allocations: 10.191 MiB, 97.66% compilation time)
  0.008253 seconds (19.52 k allocations: 8.898 MiB)
  1.078488 seconds (5.56 M allocations: 978.173 MiB, 15.82% gc time, 8.62% compilation time)
dense_moments_4_batches = 0.7634717528642737
dense_moments_nu_batches = -0.33734408022921925
factorized_moments = -0.3373440802292196
  0.358619 seconds (142.41 k allocations: 11.899 MiB, 97.45% compilation time)
  0.047030 seconds (48.62 k allocations: 24.446 MiB, 61.23% gc time)
┌ Warning: Total number of trace product evaluations to estimate moment 4 equals 155520.
└ @ RandomMeas ~/.julia/packages/RandomMeas/whJ2N/src/AbstractShadows.jl:116
 15.391024 seconds (93.73 M allocations: 16.660 GiB, 14.99% gc time, 0.57% compilation time)
dense_moments_4_batches = -1.0591307321855683
dense_moments_nu_batches = -1.4123428834882115
factorized_moments = -1.412342883488212
 29.778897 seconds (107.31 M allocations: 18.106 GiB, 9.00% gc time, 44.33% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  15m16.6s
     Testing RandomMeas tests passed 

Testing completed after 945.53s

PkgEval succeeded after 1142.69s