Package evaluation of RandomMeas on Julia 1.13.0-DEV.692 (1ea959a8b1*) started at 2025-06-04T05:39:51.120


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# Set-up
#

Installing PkgEval dependencies (TestEnv)...

Set-up completed after 8.21s


################################################################################
# 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 v1.11.1
  [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 v1.6.3
  [082447d4] + ChainRules v1.72.4
  [d360d2e6] + ChainRulesCore v1.25.1
  [da1fd8a2] + CodeTracking v1.3.9
  [944b1d66] + CodecZlib v0.7.8
  [35d6a980] + ColorSchemes v3.29.0
  [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 v4.16.0
  [a33af91c] + CompositionsBase v0.1.2
  [f0e56b4a] + ConcurrentUtilities v2.5.0
  [187b0558] + ConstructionBase v1.5.8
  [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 v0.9.4
  [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 v0.73.16
  [42e2da0e] + Grisu v1.0.2
  [cd3eb016] + HTTP v1.10.16
  [f0d1745a] + HalfIntegers v1.6.0
  [076d061b] + HashArrayMappedTries v0.2.0
  [7869d1d1] + IRTools v0.4.14
  [0d1a4710] + ITensorMPS v0.3.18
  [9136182c] + ITensors v0.9.6
  [615f187c] + IfElse v0.1.1
  [313cdc1a] + Indexing v1.1.1
  [22cec73e] + InitialValues v0.3.1
  [842dd82b] + InlineStrings v1.4.3
  [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 v3.3.0
  [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 v1.40.13
  [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 v1.3.0
  [6c6a2e73] + Scratch v1.2.1
  [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 v1.9.13
  [1e83bf80] + StaticArraysCore v1.4.3
  [10745b16] + Statistics v1.11.1
  [82ae8749] + StatsAPI v1.7.1
  [2913bbd2] + StatsBase v0.34.5
  [5e0ebb24] + Strided v2.3.0
  [4db3bf67] + StridedViews v0.4.1
  [09ab397b] + StructArrays v0.7.1
  [3783bdb8] + TableTraits v1.0.1
  [bd369af6] + Tables v1.12.0
  [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
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  [5c2747f8] + URIs v1.5.2
  [1cfade01] + UnicodeFun v0.4.1
  [1986cc42] + Unitful v1.22.1
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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 v0.7.7
  [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 v0.73.16+0
  [78b55507] + Gettext_jll v0.21.0+0
  [7746bdde] + Glib_jll v2.84.0+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 v3.100.2+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 v1.3.5+1
  [efe28fd5] + OpenSpecFun_jll v0.5.6+0
  [91d4177d] + Opus_jll v1.3.3+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+0
  [a44049a8] + Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] + Wayland_jll v1.23.1+0
  [2381bf8a] + Wayland_protocols_jll v1.36.0+0
⌅ [02c8fc9c] + XML2_jll v2.13.6+1
  [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 v0.1.4+0
  [12413925] + Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] + Xorg_xcb_util_jll v0.4.0+1
  [975044d2] + Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] + Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] + Xorg_xcb_util_wm_jll v0.4.1+1
  [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 v3.2.9+0
  [214eeab7] + fzf_jll v0.61.1+0
  [1a1c6b14] + gperf_jll v3.3.0+0
  [a4ae2306] + libaom_jll v3.11.0+0
  [0ac62f75] + libass_jll v0.15.2+0
  [1183f4f0] + libdecor_jll v0.2.2+0
  [2db6ffa8] + libevdev_jll v1.11.0+0
  [f638f0a6] + libfdk_aac_jll v2.0.3+0
  [36db933b] + libinput_jll v1.18.0+0
  [b53b4c65] + libpng_jll v1.6.48+0
  [f27f6e37] + libvorbis_jll v1.3.7+2
  [009596ad] + mtdev_jll v1.1.6+0
⌅ [1270edf5] + x264_jll v2021.5.5+0
⌅ [dfaa095f] + x265_jll v3.5.0+0
  [d8fb68d0] + xkbcommon_jll v1.8.1+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 v1.12.0
  [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 v1.12.0
  [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 v8.12.1+1
  [e37daf67] + LibGit2_jll v1.9.0+0
  [29816b5a] + LibSSH2_jll v1.11.3+1
  [14a3606d] + MozillaCACerts_jll v2025.5.20
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [05823500] + OpenLibm_jll v0.8.5+0
  [458c3c95] + OpenSSL_jll v3.5.0+0
  [efcefdf7] + PCRE2_jll v10.44.0+1
  [bea87d4a] + SuiteSparse_jll v7.10.1+0
  [83775a58] + Zlib_jll v1.3.1+2
  [3161d3a3] + Zstd_jll v1.5.7+1
  [8e850b90] + libblastrampoline_jll v5.12.0+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 6.15s


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# Precompilation
#

Precompiling PkgEval dependencies...

Precompiling package dependencies...

Precompilation completed after 165.81s


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# Testing
#

     Testing RandomMeas
      Status `/tmp/jl_p8n9fb/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
  [861a8166] Combinatorics v1.0.3
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.6
  [15e1cf62] NPZ v0.4.3
  [77e91f04] OptimKit v0.4.0
  [91a5bcdd] Plots v1.40.13
  [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 v0.7.7
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_p8n9fb/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 v1.11.1
  [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 v1.6.3
  [082447d4] ChainRules v1.72.4
  [d360d2e6] ChainRulesCore v1.25.1
  [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.29.0
  [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 v4.16.0
  [a33af91c] CompositionsBase v0.1.2
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.5.8
  [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 v0.9.4
  [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 v0.73.16
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.16
  [f0d1745a] HalfIntegers v1.6.0
  [076d061b] HashArrayMappedTries v0.2.0
  [7869d1d1] IRTools v0.4.14
  [0d1a4710] ITensorMPS v0.3.18
  [9136182c] ITensors v0.9.6
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.3
  [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 v3.3.0
  [1914dd2f] MacroTools v0.5.16
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
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⌅ [30392449] Pixman_jll v0.44.2+0
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  [629bc702] Qt6Declarative_jll v6.8.2+1
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⌅ [02c8fc9c] XML2_jll v2.13.6+1
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        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading.
     Testing Running tests...
filenames = ["test_dense_shadows.jl", "test_estimators.jl", "test_factorized_shadows.jl", "test_measurement_data.jl", "test_measurement_group.jl", "test_measurement_probability.jl", "test_measurement_setting.jl", "test_shadow_analysis.jl", "test_shallow_shadows.jl", "test_tensornetworkutilities.jl", "test_trace_moments.jl"]
Running test_dense_shadows.jl
109.720792 seconds (103.35 M allocations: 5.288 GiB, 2.41% gc time, 99.90% compilation time: 1% of which was recompilation)
Running test_estimators.jl
purity1 = 0.9876909090909095
overlap = 0.23318800000000003
fidelity = 0.23427017090767033
exact_fidelity = 0.21812606947414326
XEB = 0.02054492995323062
self_XEB = 0.008516409300216576
 99.032713 seconds (79.09 M allocations: 4.176 GiB, 2.44% gc time, 98.89% compilation time)
Running test_factorized_shadows.jl
All tests passed!
  5.155292 seconds (5.65 M allocations: 304.041 MiB, 1.51% 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=128|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=128|"Qubit,Site,n=1")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.1359139270195726 - 0.4722472798605778im  -0.012785439597110704 - 0.8708308926770526im
 -0.4689640213480036 - 0.7338819099742905im    0.14666319517019732 + 0.46902025124301966im, ITensor ord=2
Dim 1: (dim=2|id=382|"Qubit,Site,n=2")'
Dim 2: (dim=2|id=382|"Qubit,Site,n=2")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.3375725139179582 - 0.22534206861756823im  0.47371762851631916 - 0.7815736423339384im
    0.77535059572547 + 0.4838359263907792im   0.19962097847445093 - 0.35339173022955406im, ITensor ord=2
Dim 1: (dim=2|id=536|"Qubit,Site,n=3")'
Dim 2: (dim=2|id=536|"Qubit,Site,n=3")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 0.7630762985053698 - 0.4854504584012107im   0.21020762010975463 - 0.3713019950730012im
 -0.347283131767446 + 0.24788473427622099im  0.40298822247274946 - 0.809659235389096im, ITensor ord=2
Dim 1: (dim=2|id=85|"Qubit,Site,n=4")'
Dim 2: (dim=2|id=85|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2
 -0.39843583893789414 + 0.513925324346146im     -0.382812148640737 - 0.6561893797514764im
  -0.7448669046057332 + 0.14934168094888525im  -0.1198262475175661 + 0.6391494560431807im], Index{Int64}[(dim=2|id=128|"Qubit,Site,n=1"), (dim=2|id=382|"Qubit,Site,n=2"), (dim=2|id=536|"Qubit,Site,n=3"), (dim=2|id=85|"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
114.888482 seconds (78.86 M allocations: 4.123 GiB, 1.08% gc time, 99.78% compilation time: 4% 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.
 11.176940 seconds (5.13 M allocations: 328.593 MiB, 0.55% gc time, 96.59% compilation time)
Running test_measurement_probability.jl
  0.267254 seconds (253.84 k allocations: 13.569 MiB, 83.00% compilation time)
Running test_measurement_setting.jl
Exported to NPZ file: /tmp/jl_XgK3FC/tempfile.npz
All MeasurementSetting tests completed successfully!
  2.947271 seconds (1.78 M allocations: 93.980 MiB, 1.95% gc time, 94.36% compilation time)
Running test_shadow_analysis.jl
exact_value = 0.21812606947414326
expect_batch = 0.23173271806673681 + 5.521336383639401e-19im
expect_dense = 0.23173271806673676 + 4.862941090644889e-18im
expect_factorized = 0.2317327180667369 - 2.976073261995549e-18im
 17.694109 seconds (15.29 M allocations: 1.132 GiB, 1.65% gc time, 95.13% compilation time)
Running test_shallow_shadows.jl
measurement group
mps depolarization

Progress:  20%|████████▎                                |  ETA: 0:04:42
Progress: 100%|█████████████████████████████████████████| Time: 0:01:10
Cost function 0.6586240877993458
Cost function -0.5384773996389236

Progress:  50%|████████████████████▌                    |  ETA: 0:00:05Cost function -0.538477399638924
Cost function -0.5384773996389242

Progress: 100%|█████████████████████████████████████████| Time: 0:00:05
Cost function -0.5384773996389236
building shallow map
inversing shallow map
initial loss 0.9711604606687183
┌ Warning: LBFGS: not converged to requested tol after 100 iterations and time 198.22 s: f = 0.000774904233, ‖∇f‖ = 5.0878e-03
└ @ OptimKit ~/.julia/packages/OptimKit/G6i79/src/lbfgs.jl:197
446.829162 seconds (325.73 M allocations: 17.812 GiB, 1.47% gc time, 99.17% compilation time: <1% of which was recompilation)
Running test_tensornetworkutilities.jl
flatten(ψ) = ITensor ord=4
Dim 1: (dim=2|id=907|"Qubit,Site,n=1")
Dim 2: (dim=2|id=570|"Qubit,Site,n=2")
Dim 3: (dim=2|id=89|"Qubit,Site,n=3")
Dim 4: (dim=2|id=122|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2
[:, :, 1, 1] =
 -0.016930056722534753 + 0.09850471957498724im  -0.07907496116909109 - 0.2365042383929385im
  -0.05439560786846162 + 0.18988094735697483im   0.04613144476011741 + 0.20010902619684887im

[:, :, 2, 1] =
 -0.14591093952032083 + 0.18085770699584666im     0.1679692991938641 + 0.02241285938594867im
  0.20752855706302747 + 0.025357018145531138im  -0.17318842122902714 + 0.31952738028484895im

[:, :, 1, 2] =
 0.08180023258456327 + 0.08828899037433614im  -0.21431961179520212 - 0.18438562143095497im
 -0.2512730491088165 + 0.0925008063477906im     0.4911542356213402 - 0.289388365580315im

[:, :, 2, 2] =
 0.23249105702461342 + 0.0299667591723128im   0.02590770458798626 - 0.17344258959155862im
 -0.0451441925987434 - 0.04490377984691806im  -0.0847923120408247 + 0.009030819824165627im
flatten(ρ) = ITensor ord=8
Dim 1: (dim=2|id=907|"Qubit,Site,n=1")'
Dim 2: (dim=2|id=907|"Qubit,Site,n=1")
Dim 3: (dim=2|id=570|"Qubit,Site,n=2")'
Dim 4: (dim=2|id=570|"Qubit,Site,n=2")
Dim 5: (dim=2|id=89|"Qubit,Site,n=3")'
Dim 6: (dim=2|id=89|"Qubit,Site,n=3")
Dim 7: (dim=2|id=122|"Qubit,Site,n=4")'
Dim 8: (dim=2|id=122|"Qubit,Site,n=4")
NDTensors.Dense{ComplexF64, Vector{ComplexF64}}
 2×2×2×2×2×2×2×2
[:, :, 1, 1, 1, 1, 1, 1] =
 0.013631969667633675 - 2.798689945253965e-17im  0.006208712935615912 - 0.0019997677471202064im
  0.00620871293561606 + 0.0019997677471201825im  0.035884944662189784 + 9.92865802407476e-18im

[:, :, 2, 1, 1, 1, 1, 1] =
 -0.01045276008682399 + 0.005014558107618945im   -0.034245084749463514 + 0.02282093695038707im
  0.01712415923691659 - 0.0025575069063250716im   0.020674826552895886 - 0.01743869546950788im

[:, :, 1, 2, 1, 1, 1, 1] =
 -0.010452760086824015 - 0.005014558107618989im  0.017124159236916594 + 0.002557506906325123im
  -0.03424508474946364 - 0.0228209369503872im     0.02067482655289597 + 0.017438695469508006im

[:, :, 2, 2, 1, 1, 1, 1] =
  0.04875574941433053 - 9.772316214950825e-17im  -0.034275371892626666 - 0.0006694968806485246im
 -0.03427537189262661 + 0.0006694968806484974im    0.03313021401950232 + 1.1673668935920617e-17im

[:, :, 1, 1, 2, 1, 1, 1] =
    0.03172077951701179 + 0.015643831239926572im    0.010306974052056635 + 0.0024282578393644227im
 -0.0022264972048823863 - 0.013551927253109738im  -0.0027334630370713328 - 0.029635741537000115im

[:, :, 2, 1, 2, 1, 1, 1] =
 -5.680427362100252e-5 - 0.01656860785095139im   -0.004212166975207277 - 0.017854902175733683im
  0.021781513792718643 + 0.019570484035927406im    0.05253560177304033 - 0.0019188964618581973im

[:, :, 1, 2, 2, 1, 1, 1] =
 -0.012657918417632068 - 0.0198913861943938im    0.03432756059336192 + 0.022882021009836852im
  -0.01732437371975245 + 0.03299759747661722im  0.009846835742796108 - 0.026949998535628676im

[:, :, 2, 2, 2, 1, 1, 1] =
 -0.010415915492467396 + 0.023259769632923012im  0.006660488473590188 - 0.025733758089458734im
  -0.05059068321387928 - 0.03902705308948976im    0.04297145670477634 + 0.04227556409386937im

[:, :, 1, 1, 1, 2, 1, 1] =
   0.0317207795170118 - 0.015643831239926676im  -0.0022264972048824353 + 0.013551927253109775im
 0.010306974052056739 - 0.002428257839364352im   -0.002733463037071149 + 0.029635741537000337im

[:, :, 2, 1, 1, 2, 1, 1] =
 -0.012657918417631841 + 0.019891386194393776im  -0.017324373719752473 - 0.032997597476617374im
  0.034327560593362026 - 0.022882021009836915im   0.009846835742795757 + 0.0269499985356287im

[:, :, 1, 2, 1, 2, 1, 1] =
 -5.6804273621160553e-5 + 0.016568607850951468im  0.02178151379271853 - 0.019570484035927354im
 -0.0042121669752073765 + 0.017854902175733777im  0.05253560177304024 + 0.00191889646185827im

[:, :, 2, 2, 1, 2, 1, 1] =
 -0.010415915492467504 - 0.023259769632923106im  -0.050590683213879335 + 0.03902705308948961im
 0.0066604884735901385 + 0.025733758089458783im   0.042971456704776145 - 0.04227556409386925im

[:, :, 1, 1, 2, 2, 1, 1] =
  0.09302899099803902 - 1.128055079615062e-16im  -0.02075413435412502 + 0.02430639596966943im
 -0.02075413435412497 - 0.02430639596966945im    0.031112422017503204 + 9.683377463977417e-17im

[:, :, 2, 1, 2, 2, 1, 1] =
 -0.01878752917988357 - 0.036464905032634914im   0.02395749059119593 + 0.0012902239893443608im
  0.06534690392932824 + 0.0220959151132503im    -0.01714194553052222 + 0.04725322565227237im

[:, :, 1, 2, 2, 2, 1, 1] =
 -0.018787529179883612 + 0.03646490503263492im     0.06534690392932811 - 0.022095915113250222im
  0.023957490591195937 - 0.0012902239893444343im  -0.01714194553052204 - 0.04725322565227241im

[:, :, 2, 2, 2, 2, 1, 1] =
 0.023480923046940945 - 3.492889936317724e-18im  -0.023602139185557192 - 0.03931654337978585im
 -0.02360213918555718 + 0.03931654337978585im      0.11289105952567084 + 7.93244978876486e-17im

[:, :, 1, 1, 1, 1, 2, 1] =
 0.012836754859868942 + 0.0037826411785074035im  0.000654993264495766 - 0.02668726328198765im
 0.009181367273350415 + 0.008297506298359632im    0.02146417596582217 + 0.03888480145813859im

[:, :, 2, 1, 1, 1, 2, 1] =
 -0.01592693719386589 + 0.019369329312392665im  -0.009642513288889987 + 0.033211550187785696im
 -0.03253605789265457 - 0.02430550154366267im   -0.049037866687116606 - 0.06070848282421642im

[:, :, 1, 2, 1, 1, 2, 1] =
 -0.018537435079334173 + 0.020177910260075402im     0.0242336579943453 - 0.005982079961488133im
 0.0023374057349467912 - 0.052680275396038465im  0.0011628439815395443 + 0.03363618872829114im

[:, :, 2, 2, 1, 1, 2, 1] =
 0.036952826895692965 - 0.02630086534075023im  -0.03501918609383797 + 0.028065563615616053im
 0.012721236443916636 + 0.09857209372158748im  -0.02585394191661638 - 0.0715173932005301im

[:, :, 1, 1, 2, 1, 2, 1] =
 0.008761147104822418 - 0.033902866688838476im  -0.016903380130859184 - 0.012889459152763617im
 0.004239988023523369 + 0.01112813602005427im   -0.011399456046522146 - 0.0012872754219481215im

[:, :, 2, 1, 2, 1, 2, 1] =
  -0.0293448784531626 - 0.008984923572574223im   -0.005368664049917739 + 0.014939141870680874im
 0.009958143378667662 + 0.0036195123284869304im   -0.00517746033742178 + 0.012704250759691085im

[:, :, 1, 2, 2, 1, 2, 1] =
 -0.002279529560607848 + 0.0284683544964728im     0.009315811424737641 - 0.04607950389356584im
  0.011318029307179386 + 0.0038747484073504944im  -0.00040483408808379 + 0.006170571365423774im

[:, :, 2, 2, 2, 1, 2, 1] =
 0.01914631580075247 - 0.00130171438998101im    -0.03759515002282223 - 0.006923754690226283im
 0.01040410592657108 - 0.012041607048388116im  0.0024298143824418236 + 0.00717436373100902im

[:, :, 1, 1, 1, 2, 2, 1] =
 0.035375091375784616 - 0.000726655864065201im   0.013357311336298413 + 0.007753533228174603im
 0.027682841795155823 + 0.0016329530078967036im  -0.03608519201694769 + 0.019736251508917314im

[:, :, 2, 1, 1, 2, 2, 1] =
 -0.013835092002083873 + 0.05901028854653351im   -0.03271025798873854 - 0.022613713314193533im
  -0.09750917985073895 - 0.008573114944839443im   0.06873418045334714 - 0.051079266371727064im

[:, :, 1, 2, 1, 2, 2, 1] =
 0.0040100355311396794 + 0.01519833707197124im   0.025153913368195606 - 0.04590291071750205im
  -0.02246271303870264 + 0.014230075168248894im   0.03757355703098465 + 0.048040504244951945im

[:, :, 2, 2, 1, 2, 2, 1] =
 -0.03013968234277642 - 0.022267328540836358im  -0.009125975312631462 + 0.07934678120156857im
  0.04845335375804581 - 0.04618058309757121im    -0.11138228840991687 - 0.06527528104841898im

[:, :, 1, 1, 2, 2, 2, 1] =
 -0.015397873749355594 - 0.08971881784271656im    0.029356303061101475 + 0.002718669658062521im
  0.025583200299606815 + 0.022135090790996483im  -0.007714755781298402 - 0.008514259912023247im

[:, :, 2, 1, 2, 2, 2, 1] =
 -0.08044375730363801 + 0.009888197407218177im  0.0031083299283438384 - 0.020820924720001795im
  0.02932114289004631 - 0.005477407254145021im  -0.014397094562972777 + 0.001972938781098498im

[:, :, 1, 2, 2, 2, 2, 1] =
  0.04081472829319828 + 0.005571029748548797im   -0.054879659645637555 - 0.06580517883723318im
 -0.01093576344188767 + 0.0007025368316046273im   0.005936188853519163 + 0.0012507935701498516im

[:, :, 2, 2, 2, 2, 2, 1] =
  0.005906362162017716 - 0.03348507665915216im   -0.05192062001319907 + 0.047807332732505856im
 -0.007833139762528082 + 0.008191833673794651im  0.005763751789791469 + 0.004282591686335456im

[:, :, 1, 1, 1, 1, 1, 2] =
  0.012836754859868965 - 0.0037826411785074204im  0.009181367273350349 - 0.008297506298359524im
 0.0006549932644957382 + 0.026687263281987603im    0.02146417596582231 - 0.03888480145813847im

[:, :, 2, 1, 1, 1, 1, 2] =
 -0.018537435079334124 - 0.020177910260075586im   0.0023374057349466555 + 0.052680275396038284im
  0.024233657994345445 + 0.0059820799614880155im    0.00116284398153969 - 0.03363618872829136im

[:, :, 1, 2, 1, 1, 1, 2] =
  -0.01592693719386585 - 0.019369329312392658im   -0.03253605789265435 + 0.024305501543662577im
 -0.009642513288889973 - 0.033211550187785537im  -0.049037866687116585 + 0.06070848282421608im

[:, :, 2, 2, 1, 1, 1, 2] =
  0.03695282689569293 + 0.02630086534075031im   0.012721236443916624 - 0.09857209372158732im
 -0.03501918609383821 - 0.0280655636156161im   -0.025853941916616472 + 0.07151739320053026im

[:, :, 1, 1, 2, 1, 1, 2] =
 0.035375091375784616 + 0.0007266558640651732im  0.027682841795155764 - 0.001632953007896531im
 0.013357311336298333 - 0.007753533228174595im    -0.0360851920169476 - 0.01973625150891723im

[:, :, 2, 1, 2, 1, 1, 2] =
 0.004010035531139666 - 0.015198337071971296im  -0.022462713038702627 - 0.01423007516824889im
 0.025153913368195644 + 0.04590291071750184im     0.03757355703098474 - 0.04804050424495218im

[:, :, 1, 2, 2, 1, 1, 2] =
 -0.013835092002083865 - 0.05901028854653349im   -0.09750917985073862 + 0.008573114944839186im
 -0.032710257988738375 + 0.022613713314193696im   0.06873418045334681 + 0.05107926637172692im

[:, :, 2, 2, 2, 1, 1, 2] =
 -0.030139682342776496 + 0.022267328540836392im   0.04845335375804577 + 0.0461805830975712im
 -0.009125975312631634 - 0.07934678120156846im   -0.11138228840991696 + 0.06527528104841905im

[:, :, 1, 1, 1, 2, 1, 2] =
 0.008761147104822434 + 0.033902866688838566im   0.004239988023523447 - 0.011128136020054186im
 -0.01690338013085926 + 0.012889459152763547im  -0.011399456046522097 + 0.0012872754219480694im

[:, :, 2, 1, 1, 2, 1, 2] =
 -0.0022795295606079288 - 0.028468354496472784im     0.011318029307179452 - 0.003874748407350635im
   0.009315811424737724 + 0.046079503893565674im  -0.00040483408808370674 - 0.0061705713654239824im

[:, :, 1, 2, 1, 2, 1, 2] =
 -0.029344878453162682 + 0.008984923572574235im    0.009958143378667716 - 0.0036195123284869374im
 -0.005368664049917702 - 0.014939141870680893im  -0.0051774603374218214 - 0.01270425075969121im

[:, :, 2, 2, 1, 2, 1, 2] =
 0.019146315800752323 + 0.0013017143899810481im  0.010404105926570994 + 0.012041607048388317im
  -0.0375951500228223 + 0.00692375469022638im    0.002429814382442108 - 0.007174363731008906im

[:, :, 1, 1, 2, 2, 1, 2] =
 -0.015397873749355388 + 0.08971881784271662im      0.02558320029960692 - 0.02213509079099662im
  0.029356303061101433 - 0.0027186696580626234im  -0.007714755781298372 + 0.008514259912023012im

[:, :, 2, 1, 2, 2, 1, 2] =
  0.04081472829319838 - 0.00557102974854876im   -0.01093576344188759 - 0.0007025368316044608im
 -0.05487965964563752 + 0.06580517883723322im  0.0059361888535192685 - 0.0012507935701497443im

[:, :, 1, 2, 2, 2, 1, 2] =
 -0.08044375730363798 - 0.009888197407218148im   0.029321142890046455 + 0.005477407254145108im
  0.00310832992834388 + 0.020820924720001622im  -0.014397094562972562 - 0.001972938781098682im

[:, :, 2, 2, 2, 2, 1, 2] =
 0.005906362162017649 + 0.03348507665915213im  -0.007833139762528217 - 0.008191833673794557im
 -0.05192062001319906 - 0.04780733273250577im   0.005763751789791477 - 0.00428259168633532im

[:, :, 1, 1, 1, 1, 2, 2] =
   0.03562276329188167 + 3.850760247416096e-17im  -0.021383023339270654 - 0.011879522715419765im
 -0.021383023339270592 + 0.011879522715419796im    0.059668335129320176 + 1.113061776477715e-16im

[:, :, 2, 1, 1, 1, 2, 2] =
 -0.02656119162549905 + 0.01455655156415028im   0.023034416030225265 + 0.039372315720121im
 0.012047682668522894 - 0.029134763821057095im  -0.11227587799779025 + 0.010858860612736623im

[:, :, 1, 2, 1, 1, 2, 2] =
 -0.02656119162549904 - 0.014556551564150316im   0.01204768266852291 + 0.029134763821057067im
 0.023034416030225054 - 0.039372315720121065im  -0.11227587799779029 - 0.010858860612736743im

[:, :, 2, 2, 1, 1, 2, 2] =
  0.061808587175104276 + 3.715353677453311e-17im  -0.028252691490118633 - 0.1039455601580487im
 -0.028252691490118473 + 0.10394556015804869im      0.24003297072770843 - 6.94693853378806e-17im

[:, :, 1, 1, 2, 1, 2, 2] =
 -0.0014716868164700457 - 0.04791886572425143im      -0.01827257163470098 - 0.00857290828806221im
   0.014347062460110267 - 0.0018066271475246686im  -0.0040868811976111155 + 0.018750456697829106im

[:, :, 2, 1, 2, 1, 2, 2] =
   -0.0436831380148285 + 0.004640515569161808im  -0.004281397315402102 + 0.00866781001359082im
 0.0020443291417552812 - 0.009844011363470117im   0.017812910515960678 + 0.01391101733916418im

[:, :, 1, 2, 2, 1, 2, 2] =
 -0.05328393402575881 + 0.03726540110382057im    0.04806029339837997 + 0.0665097005753182im
 0.009387095793633437 - 0.00803922375897516im  -0.006439723837932526 - 0.03848524732734209im

[:, :, 2, 2, 2, 1, 2, 2] =
    0.0299442634645004 + 0.043572571200406834im    0.05288739099529562 - 0.029185734191607537im
 0.0035683520081905376 - 0.013480959461996069im  -0.041423401588953176 - 0.019606365552148494im

[:, :, 1, 1, 1, 2, 2, 2] =
 -0.0014716868164701318 + 0.04791886572425146im    0.014347062460110215 + 0.0018066271475246634im
  -0.018272571634700977 + 0.008572908288062195im  -0.004086881197611155 - 0.01875045669782917im

[:, :, 2, 1, 1, 2, 2, 2] =
 -0.05328393402575881 - 0.03726540110382059im    0.00938709579363345 + 0.00803922375897525im
  0.04806029339838018 - 0.06650970057531816im  -0.006439723837932531 + 0.038485247327342376im

[:, :, 1, 2, 1, 2, 2, 2] =
  -0.04368313801482849 - 0.0046405155691618205im  0.0020443291417552812 + 0.009844011363470078im
 -0.004281397315402327 - 0.008667810013590972im    0.017812910515960702 - 0.013911017339164385im

[:, :, 2, 2, 1, 2, 2, 2] =
 0.029944263464500395 - 0.04357257120040685im    0.003568352008190605 + 0.013480959461995966im
  0.05288739099529572 + 0.029185734191607735im  -0.041423401588953475 + 0.019606365552148754im

[:, :, 1, 1, 2, 2, 2, 2] =
    0.0981326422549282 - 1.1270363990449966e-16im  -0.01835158810197582 - 0.022235164932466366im
 -0.018351588101975843 + 0.022235164932466345im    0.018239864870097943 - 7.748225911508984e-17im

[:, :, 2, 1, 2, 2, 2, 2] =
 0.0006844741480111506 - 0.08700215576204313im  -0.023292885696427967 + 0.016064910019213483im
 0.0038416315380017585 + 0.02220998500782496im    0.00853995363203237 - 0.014512211962853764im

[:, :, 1, 2, 2, 2, 2, 2] =
 0.0006844741480112609 + 0.0870021557620431im   0.0038416315380017008 - 0.022209985007824964im
 -0.023292885696427904 - 0.01606491001921349im    0.00853995363203237 + 0.014512211962853789im

[:, :, 2, 2, 2, 2, 2, 2] =
   0.07835863642407774 - 9.505204631690077e-17im  -0.02110845051059226 - 0.006934711681883144im
 -0.021108450510592215 + 0.006934711681883137im   0.016219926775070087 + 3.7962390215826106e-17im
get_trace(ρ) = 0.9999999999999988 - 1.7402548357453516e-16im
get_trace_moment(ρ, 2) = 0.6036453426788044
get_trace_moment(ρ, 3) = 0.40546801401820665 + 6.245004513516506e-17im
purity_1 = 0.5743744997599092
purity_2 = 0.5743744997599084
trrho3_1 = 0.39986227218659015
trrho3_2 = 0.3998622721865895 - 9.118140270603092e-17im
purity = 0.6036453426788044
p2 = 0.6036453426788044
trrho3 = 0.40546801401820665 + 6.245004513516506e-17im
p3 = 0.1749755074183443 - 8.613986260397333e-17im
Cost function 1.0117358965965264
Cost function -0.06563523423919188
Cost function -0.0656352342391919
Cost function -0.06563523423919189
Cost function -0.06563523423919188
Cost function -0.06563523423919186
Cost function -0.06563523423919186
norm(ψ_sum_approx - ψ_sum) = 1.6769492077457727e-16
 53.891850 seconds (30.47 M allocations: 1.638 GiB, 0.88% gc time, 99.56% compilation time)
Running test_trace_moments.jl
  8.886363 seconds (6.90 M allocations: 360.919 MiB, 1.25% gc time, 99.93% compilation time)
  0.000471 seconds (820 allocations: 192.258 KiB)
  1.181022 seconds (337.19 k allocations: 18.425 MiB, 99.62% compilation time)
dense_moments_4_batches = 0.9999999999999993
dense_moments_nu_batches = 0.9999999999999993
factorized_moments = 0.9999999999999989
  0.813408 seconds (370.45 k allocations: 20.247 MiB, 99.21% compilation time)
  0.002148 seconds (4.92 k allocations: 1.860 MiB)
  0.681669 seconds (445.54 k allocations: 43.468 MiB, 94.73% compilation time)
dense_moments_4_batches = -0.26171413537830784
dense_moments_nu_batches = -0.2639687282792701
factorized_moments = -0.26396872827927054
  0.317524 seconds (142.88 k allocations: 10.454 MiB, 97.29% compilation time)
  0.009298 seconds (19.52 k allocations: 8.898 MiB)
  1.257093 seconds (5.56 M allocations: 978.210 MiB, 20.80% gc time, 6.96% compilation time)
dense_moments_4_batches = 1.0794335295725406
dense_moments_nu_batches = 0.5070519440308522
factorized_moments = 0.5070519440308513
  0.362507 seconds (154.48 k allocations: 12.277 MiB, 96.96% compilation time)
  0.019638 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
 16.198447 seconds (93.73 M allocations: 16.660 GiB, 14.72% gc time, 0.56% compilation time)
dense_moments_4_batches = 1.0573027898338194
dense_moments_nu_batches = -0.5662473671430135
factorized_moments = -0.5662473671430138
 30.844641 seconds (108.01 M allocations: 18.126 GiB, 9.15% gc time, 43.41% compilation time)
Test Summary: | Pass  Total      Time
RandomMeas.jl |  183    183  14m52.7s
     Testing RandomMeas tests passed 

Testing completed after 923.2s

PkgEval succeeded after 1118.44s