1.5.0-DEV-4085873ec6.log

Julia Version 1.5.0-DEV.431
Commit 4085873ec6 (2020-03-10 23:48 UTC)
Platform Info:
  OS: Linux (x86_64-pc-linux-gnu)
  CPU: Intel(R) Xeon(R) Silver 4114 CPU @ 2.20GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-9.0.1 (ORCJIT, skylake)
Environment:
  JULIA_DEPOT_PATH = ::/usr/local/share/julia
  JULIA_NUM_THREADS = 2

  Resolving package versions...
  Installed Requires ───────────────────── v1.0.1
  Installed OpenSpecFun_jll ────────────── v0.5.3+3
  Installed CompilerSupportLibraries_jll ─ v0.2.0+1
  Installed AbstractFFTs ───────────────── v0.5.0
  Installed RecursiveArrayTools ────────── v2.1.0
  Installed SpecialFunctions ───────────── v0.10.0
  Installed StaticArrays ───────────────── v0.12.1
  Installed AbstractOperators ──────────── v0.2.2
  Installed Reexport ───────────────────── v0.2.0
  Installed MKL_jll ────────────────────── v2019.0.117+2
  Installed RecipesBase ────────────────── v0.8.0
  Installed ZygoteRules ────────────────── v0.2.0
  Installed FFTW_jll ───────────────────── v3.3.9+4
  Installed OrderedCollections ─────────── v1.1.0
  Installed FFTW ───────────────────────── v1.2.0
  Installed MacroTools ─────────────────── v0.5.4
  Installed DataStructures ─────────────── v0.17.10
  Installed IntelOpenMP_jll ────────────── v2018.0.3+0
  Installed ArrayInterface ─────────────── v2.5.1
  Installed IterTools ──────────────────── v1.3.0
  Installed Polynomials ────────────────── v0.6.1
  Installed DSP ────────────────────────── v0.6.3
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   Updating `~/.julia/environments/v1.5/Project.toml`
   d9c5613a + AbstractOperators v0.2.2
   Updating `~/.julia/environments/v1.5/Manifest.toml`
   621f4979 + AbstractFFTs v0.5.0
   d9c5613a + AbstractOperators v0.2.2
   4fba245c + ArrayInterface v2.5.1
   e66e0078 + CompilerSupportLibraries_jll v0.2.0+1
   717857b8 + DSP v0.6.3
   864edb3b + DataStructures v0.17.10
   7a1cc6ca + FFTW v1.2.0
   f5851436 + FFTW_jll v3.3.9+4
   1d5cc7b8 + IntelOpenMP_jll v2018.0.3+0
   c8e1da08 + IterTools v1.3.0
   856f044c + MKL_jll v2019.0.117+2
   1914dd2f + MacroTools v0.5.4
   efe28fd5 + OpenSpecFun_jll v0.5.3+3
   bac558e1 + OrderedCollections v1.1.0
   f27b6e38 + Polynomials v0.6.1
   3cdcf5f2 + RecipesBase v0.8.0
   731186ca + RecursiveArrayTools v2.1.0
   189a3867 + Reexport v0.2.0
   ae029012 + Requires v1.0.1
   276daf66 + SpecialFunctions v0.10.0
   90137ffa + StaticArrays v0.12.1
   700de1a5 + ZygoteRules v0.2.0
   2a0f44e3 + Base64
   ade2ca70 + Dates
   8ba89e20 + Distributed
   b77e0a4c + InteractiveUtils
   76f85450 + LibGit2
   8f399da3 + Libdl
   37e2e46d + LinearAlgebra
   56ddb016 + Logging
   d6f4376e + Markdown
   44cfe95a + Pkg
   de0858da + Printf
   3fa0cd96 + REPL
   9a3f8284 + Random
   ea8e919c + SHA
   9e88b42a + Serialization
   6462fe0b + Sockets
   2f01184e + SparseArrays
   10745b16 + Statistics
   8dfed614 + Test
   cf7118a7 + UUIDs
   4ec0a83e + Unicode
   Building FFTW → `~/.julia/packages/FFTW/qqcBj/deps/build.log`
    Testing AbstractOperators
     Status `/tmp/jl_dxnyyb/Project.toml`
   621f4979 AbstractFFTs v0.5.0
   d9c5613a AbstractOperators v0.2.2
   717857b8 DSP v0.6.3
   7a1cc6ca FFTW v1.2.0
   731186ca RecursiveArrayTools v2.1.0
   37e2e46d LinearAlgebra
   de0858da Printf
   9a3f8284 Random
   2f01184e SparseArrays
   8dfed614 Test
     Status `/tmp/jl_dxnyyb/Manifest.toml`
   621f4979 AbstractFFTs v0.5.0
   d9c5613a AbstractOperators v0.2.2
   4fba245c ArrayInterface v2.5.1
   e66e0078 CompilerSupportLibraries_jll v0.2.0+1
   717857b8 DSP v0.6.3
   864edb3b DataStructures v0.17.10
   7a1cc6ca FFTW v1.2.0
   f5851436 FFTW_jll v3.3.9+4
   1d5cc7b8 IntelOpenMP_jll v2018.0.3+0
   c8e1da08 IterTools v1.3.0
   856f044c MKL_jll v2019.0.117+2
   1914dd2f MacroTools v0.5.4
   efe28fd5 OpenSpecFun_jll v0.5.3+3
   bac558e1 OrderedCollections v1.1.0
   f27b6e38 Polynomials v0.6.1
   3cdcf5f2 RecipesBase v0.8.0
   731186ca RecursiveArrayTools v2.1.0
   189a3867 Reexport v0.2.0
   ae029012 Requires v1.0.1
   276daf66 SpecialFunctions v0.10.0
   90137ffa StaticArrays v0.12.1
   700de1a5 ZygoteRules v0.2.0
   2a0f44e3 Base64
   ade2ca70 Dates
   8ba89e20 Distributed
   b77e0a4c InteractiveUtils
   76f85450 LibGit2
   8f399da3 Libdl
   37e2e46d LinearAlgebra
   56ddb016 Logging
   d6f4376e Markdown
   44cfe95a Pkg
   de0858da Printf
   3fa0cd96 REPL
   9a3f8284 Random
   ea8e919c SHA
   9e88b42a Serialization
   6462fe0b Sockets
   2f01184e SparseArrays
   10745b16 Statistics
   8dfed614 Test
   cf7118a7 UUIDs
   4ec0a83e Unicode

Testing linear operators

★  ℝ^5 -> ℝ^10 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

ℱc  ℝ^4 -> ℝ^4 
forward preallocated
  0.000004 seconds (8 allocations: 352 bytes)
adjoint preallocated
  0.000008 seconds (13 allocations: 624 bytes)

ℱc⁻¹  ℝ^4 -> ℝ^4 
forward preallocated
  0.000006 seconds (13 allocations: 624 bytes)
adjoint preallocated
  0.000003 seconds (8 allocations: 352 bytes)

ℱ  ℝ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds (1 allocation: 144 bytes)
adjoint preallocated
  0.000000 seconds (1 allocation: 144 bytes)

ℱ  ℂ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ  ℝ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds (1 allocation: 144 bytes)
adjoint preallocated
  0.000000 seconds (1 allocation: 144 bytes)

ℱ  ℂ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ  ℝ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds (1 allocation: 144 bytes)
adjoint preallocated
  0.000000 seconds (1 allocation: 144 bytes)

ℱ  ℂ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ  ℝ^(4, 7) -> ℂ^(4, 7) 
forward preallocated
  0.000022 seconds (85 allocations: 9.312 KiB)
adjoint preallocated
  0.000021 seconds (85 allocations: 9.312 KiB)

ℱ  ℂ^(4, 7) -> ℂ^(4, 7) 
forward preallocated
  0.000020 seconds (84 allocations: 8.781 KiB)
adjoint preallocated
  0.000020 seconds (84 allocations: 8.781 KiB)

ℱ  ℝ^(7, 4) -> ℂ^(7, 4) 
forward preallocated
  0.000020 seconds (34 allocations: 3.766 KiB)
adjoint preallocated
  0.000020 seconds (34 allocations: 3.766 KiB)

ℱ  ℂ^(4, 7) -> ℂ^(4, 7) 
forward preallocated
  0.000018 seconds (33 allocations: 3.234 KiB)
adjoint preallocated
  0.000016 seconds (33 allocations: 3.234 KiB)

ℱ⁻¹  ℝ^5 -> ℂ^5 
forward preallocated
  0.000001 seconds (1 allocation: 160 bytes)
adjoint preallocated
  0.000000 seconds (1 allocation: 160 bytes)

ℱ⁻¹  ℂ^5 -> ℂ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ⁻¹  ℝ^5 -> ℂ^5 
forward preallocated
  0.000000 seconds (1 allocation: 160 bytes)
adjoint preallocated
  0.000000 seconds (1 allocation: 160 bytes)

ℱ⁻¹  ℂ^5 -> ℂ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ⁻¹  ℝ^(5, 6) -> ℂ^(5, 6) 
forward preallocated
  0.000047 seconds (88 allocations: 9.453 KiB)
adjoint preallocated
  0.000020 seconds (86 allocations: 9.422 KiB)

ℱ⁻¹  ℂ^(5, 6) -> ℂ^(5, 6) 
forward preallocated
  0.000037 seconds (88 allocations: 8.906 KiB)
adjoint preallocated
  0.000038 seconds (88 allocations: 8.906 KiB)

ℱ⁻¹  ℝ^(6, 5) -> ℂ^(6, 5) 
forward preallocated
  0.000017 seconds (41 allocations: 4.625 KiB)
adjoint preallocated
  0.004064 seconds (40 allocations: 4.609 KiB)

ℱ⁻¹  ℂ^(6, 5) -> ℂ^(6, 5) 
forward preallocated
  0.000026 seconds (48 allocations: 4.844 KiB)
adjoint preallocated
  0.000022 seconds (48 allocations: 4.844 KiB)

ℱ⁻¹  ℂ^(4, 19, 5) -> ℂ^(4, 19, 5) 
forward preallocated
  0.000046 seconds (128 allocations: 12.469 KiB)
adjoint preallocated
  0.000065 seconds (132 allocations: 12.609 KiB)

ℱ⁻¹  ℂ^(4, 18, 5) -> ℂ^(4, 18, 5) 
forward preallocated
  0.006154 seconds (309 allocations: 29.359 KiB)
adjoint preallocated
  0.000074 seconds (217 allocations: 20.969 KiB)

ℱ⁻¹  ℂ^(4, 18, 5) -> ℂ^(4, 18, 5) 
forward preallocated
  0.000066 seconds (175 allocations: 16.703 KiB)
adjoint preallocated
  0.000065 seconds (176 allocations: 16.797 KiB)

ℱ  ℝ^4 -> ℂ^3 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

ℱ  ℝ^(4, 8, 5) -> ℂ^(4, 5, 5) 
forward preallocated
  0.000090 seconds (130 allocations: 12.500 KiB)
adjoint preallocated
  0.000092 seconds (133 allocations: 12.609 KiB)

ℱ⁻¹  ℂ^7 -> ℝ^12 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds (2 allocations: 96 bytes)

ℱ⁻¹  ℂ^6 -> ℝ^11 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds (2 allocations: 96 bytes)

ℱ⁻¹  ℂ^(4, 10, 5) -> ℝ^(4, 19, 5) 
forward preallocated
  0.000103 seconds (165 allocations: 16.172 KiB)
adjoint preallocated
  0.000104 seconds (173 allocations: 16.547 KiB)

ℱ⁻¹  ℂ^(4, 10, 5) -> ℝ^(4, 18, 5) 
forward preallocated
  0.000080 seconds (218 allocations: 20.906 KiB)
adjoint preallocated
  0.000072 seconds (139 allocations: 12.891 KiB)

ℱ⁻¹  ℂ^(3, 18, 5) -> ℝ^(5, 18, 5) 
forward preallocated
  0.000033 seconds (64 allocations: 6.406 KiB)
adjoint preallocated
  0.000038 seconds (72 allocations: 6.781 KiB)

╲  ℝ^4 -> ℝ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

╲  ℝ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

╲  ℝ^4 -> ℝ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

╲  ℝ^4 -> ℂ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

I  ℝ^4 -> ℝ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

IIR  ℝ^15 -> ℝ^15 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

FIR  ℝ^(15, 2) -> ℝ^(15, 2) 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000002 seconds

δx  ℝ^10 -> ℝ^9 
forward preallocated
  0.000003 seconds (1 allocation: 32 bytes)
adjoint preallocated
  0.000000 seconds

δx  ℝ^(10, 5) -> ℝ^(9, 5) 
forward preallocated
  0.000003 seconds (1 allocation: 64 bytes)
adjoint preallocated
  0.000001 seconds

δy  ℝ^(10, 5) -> ℝ^(10, 4) 
forward preallocated
  0.000003 seconds (1 allocation: 64 bytes)
adjoint preallocated
  0.000001 seconds

δx  ℝ^(10, 5, 7) -> ℝ^(9, 5, 7) 
forward preallocated
  0.000006 seconds (1 allocation: 80 bytes)
adjoint preallocated
  0.000004 seconds

δy  ℝ^(10, 5, 7) -> ℝ^(10, 4, 7) 
forward preallocated
  0.000003 seconds (1 allocation: 80 bytes)
adjoint preallocated
  0.000002 seconds

δz  ℝ^(10, 5, 7) -> ℝ^(10, 5, 6) 
forward preallocated
  0.000004 seconds (1 allocation: 80 bytes)
adjoint preallocated
  0.000003 seconds

δx  ℝ^(5, 6, 2, 3) -> ℝ^(4, 6, 2, 3) 
forward preallocated
  0.000002 seconds (1 allocation: 112 bytes)
adjoint preallocated
  0.000002 seconds

δx4  ℝ^(5, 6, 2, 3) -> ℝ^(5, 6, 2, 2) 
forward preallocated
  0.000003 seconds (1 allocation: 112 bytes)
adjoint preallocated
  0.000003 seconds

↓  ℝ^5 -> ℝ^3 
forward preallocated
  0.000000 seconds (1 allocation: 48 bytes)
adjoint preallocated
  0.000000 seconds

↓  ℝ^(5, 4) -> ℝ^(3, 4) 
forward preallocated
  0.000000 seconds (1 allocation: 64 bytes)
adjoint preallocated
  0.000001 seconds

↓  ℝ^(5, 4) -> ℝ^5 
forward preallocated
  0.000000 seconds (1 allocation: 48 bytes)
adjoint preallocated
  0.000000 seconds

↓  ℝ^(5, 4, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000000 seconds (1 allocation: 64 bytes)
adjoint preallocated
  0.000000 seconds

▒  ℝ^4 -> ℝ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

▒  ℂ^4 -> ℂ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

▒  ℂ^4 -> ℂ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

▒  ℝ^4 -> ℂ^5 
forward preallocated
  0.000000 seconds (2 allocations: 64 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 144 bytes)

▒  ℝ^(4, 3) -> ℂ^(5, 3) 
forward preallocated
  0.000001 seconds (2 allocations: 64 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 272 bytes)

(⋅)b  ℝ^(5, 6) -> ℝ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds (1 allocation: 16 bytes)

(⋅)b  ℂ^(5, 6) -> ℂ^5 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds (1 allocation: 16 bytes)

(⋅)b  ℝ^(5, 6) -> ℝ^(5, 7) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

(⋅)b  ℂ^(5, 6) -> ℂ^(5, 7) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds

A  ℝ^4 -> ℝ^5 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds (1 allocation: 16 bytes)

※  ℝ^(10, 2) -> ℝ^(10, 1) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

※  ℝ^(10, 3) -> ℝ^(10, 2) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds

※  ℝ^(10, 3) -> ℝ^(10, 2) 
forward preallocated
  0.000003 seconds
adjoint preallocated
  0.000003 seconds

Ʋ  ℝ^(10, 5) -> ℝ^(50, 2) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

Ʋ  ℝ^(10, 5, 3) -> ℝ^(150, 3) 
forward preallocated
  0.000003 seconds
adjoint preallocated
  0.000004 seconds

◎  ℝ^5 -> ℝ^11 
┌ Warning: The default value of `padmode` will be changing from `:longest` to
│ `:none` in a future release of DSP. In preparation for this change,
│ leaving `padmode` unspecified is currently deprecated. To keep
│ current behavior specify `padmode=:longest`. To avoid this warning,
│ specify padmode = :none or padmode = :longest where appropriate.
│   caller = mul!(::Array{Float64,1}, ::Xcorr{Float64,Array{Float64,1}}, ::Array{Float64,1}) at Xcorr.jl:28
└ @ AbstractOperators ~/.julia/packages/AbstractOperators/xTEMf/src/linearoperators/Xcorr.jl:28
forward preallocated
  0.000470 seconds (241 allocations: 20.641 KiB)
adjoint preallocated
  0.000053 seconds (131 allocations: 8.422 KiB)
┌ Warning: The default value of `padmode` will be changing from `:longest` to
│ `:none` in a future release of DSP. In preparation for this change,
│ leaving `padmode` unspecified is currently deprecated. To keep
│ current behavior specify `padmode=:longest`. To avoid this warning,
│ specify padmode = :none or padmode = :longest where appropriate.
│   caller = top-level scope at test_linear_operators.jl:932
└ @ Core ~/.julia/packages/AbstractOperators/xTEMf/test/test_linear_operators.jl:932

[I;0]  ℝ^3 -> ℝ^8 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

[I;0]  ℝ^(3, 2) -> ℝ^(8, 5) 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

[I;0]  ℝ^(3, 2, 2) -> ℝ^(8, 5, 3) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000000 seconds

0  ℝ^(3, 4) -> ℂ^(5, 2) 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

Testing non linear operators

σ  ℝ^4 -> ℝ^4 
forward preallocated
  0.000000 seconds
J(σ)  ℝ^4 -> ℝ^4 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

σ  ℝ^(4, 5) -> ℝ^(4, 5) 
forward preallocated
  0.000001 seconds
J(σ)  ℝ^(4, 5) -> ℝ^(4, 5) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

σ  ℝ^10 -> ℝ^10 
forward preallocated
  0.000000 seconds
J(σ)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

σ  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
forward preallocated
  0.000006 seconds (8 allocations: 288 bytes)
J(σ)  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
adjoint jacobian mul! preallocated
  0.000015 seconds (9 allocations: 304 bytes)

σ  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
forward preallocated
  0.000007 seconds (7 allocations: 192 bytes)
J(σ)  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
adjoint jacobian mul! preallocated
  0.000008 seconds (15 allocations: 1.484 KiB)

e  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
forward preallocated
  0.000003 seconds (3 allocations: 112 bytes)
J(e)  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
adjoint jacobian mul! preallocated
  0.000005 seconds (9 allocations: 256 bytes)

sin  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
forward preallocated
  0.000003 seconds (3 allocations: 112 bytes)
J(sin)  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
adjoint jacobian mul! preallocated
  0.000004 seconds (9 allocations: 256 bytes)

cos  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
forward preallocated
  0.000004 seconds (3 allocations: 112 bytes)
J(cos)  ℝ^(4, 5, 6) -> ℝ^(4, 5, 6) 
adjoint jacobian mul! preallocated
  0.000007 seconds (15 allocations: 2.562 KiB)

atan  ℝ^10 -> ℝ^10 
forward preallocated
  0.000000 seconds
J(atan)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000000 seconds (1 allocation: 16 bytes)

tanh  ℝ^10 -> ℝ^10 
forward preallocated
  0.000001 seconds
J(tanh)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

『  ℝ^10 -> ℝ^10 
forward preallocated
  0.000000 seconds
J(『)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

『  ℝ^10 -> ℝ^10 
forward preallocated
  0.000001 seconds
J(『)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

Testing linear operators calculus rules

▒*▒  ℝ^4 -> ℝ^3 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds

Π  ℝ^4 -> ℝ^2 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

Π  ℝ^4 -> ℝ^2 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

[▒,0;0,▒]  ℝ^7  ℝ^2 -> ℝ^4  ℝ^5 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000000 seconds

DCAT  ℝ^7  ℝ^2  ℝ^5 -> ℝ^4  ℝ^5  ℝ^5 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000001 seconds

[I,0;0,I]  ℝ^4  ℝ^7 -> ℝ^4  ℝ^7 
forward preallocated
  0.000004 seconds
adjoint preallocated
  0.000000 seconds

[▒,▒]  ℝ^7  ℝ^5 -> ℝ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000001 seconds

[▒,▒]  ℝ^5  ℝ^7 -> ℝ^4 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000001 seconds

HCAT  ℝ^7  ℝ^5  ℝ^6 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

HCAT  ℝ^7 ... ℝ^6 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

HCAT  ℝ^7 ... ℝ^6 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds

HCAT  ℝ^7 ... ℝ^6 -> ℝ^4 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000002 seconds

HCAT  ℝ^5 ... ℝ^6 -> ℝ^4 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000002 seconds

¶▒  ℝ^4 -> ℝ^(2, 2, 2) 
forward preallocated
  0.000001 seconds (4 allocations: 128 bytes)
adjoint preallocated
  0.000002 seconds (5 allocations: 144 bytes)

α▒  ℝ^4 -> ℝ^8 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000001 seconds

α▒  ℝ^4 -> ℝ^8 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

αℱ  ℝ^(8, 4) -> ℂ^(8, 4) 
forward preallocated
  0.000043 seconds (98 allocations: 10.250 KiB)
adjoint preallocated
  0.000044 seconds (99 allocations: 10.266 KiB)

▒+▒  ℝ^7 -> ℝ^5 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

Σ  ℝ^7 -> ℝ^5 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

▒ᵃ  ℝ^5 -> ℝ^7 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

[▒;▒]  ℝ^5 -> ℝ^4  ℝ^7 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000001 seconds

[▒;ℱᵃ]  ℂ^5 -> ℂ^4  ℝ^5 
forward preallocated
  0.000001 seconds (1 allocation: 160 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 160 bytes)

VCAT  ℝ^5 -> ℝ^4  ℝ^7  ℝ^3 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

VCAT  ℝ^5 -> ℝ^4 ... ℝ^3 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

VCAT  ℝ^5 -> ℝ^4 ... ℝ^3 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

.▒  ℝ^4 -> ℝ^(8, 10) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000003 seconds (10 allocations: 480 bytes)

.I  ℝ^(8, 4) -> ℝ^(8, 4, 5, 7) 
forward preallocated
  0.000003 seconds
adjoint preallocated
  0.000012 seconds (35 allocations: 2.188 KiB)

.I  ℝ^1 -> ℝ^(1, 5) 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000000 seconds

.I  ℝ^(1, 5) -> ℝ^(4, 5) 
forward preallocated
  0.000000 seconds
adjoint preallocated
  0.000001 seconds (8 allocations: 256 bytes)

[I,.I]  ℝ^(4, 5)  ℝ^(1, 5) -> ℝ^(4, 5) 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds (9 allocations: 272 bytes)

.I  ℝ^2 -> ℝ^(2, 5, 8) 
forward preallocated
  0.000001 seconds (3 allocations: 96 bytes)
adjoint preallocated
  0.000009 seconds (40 allocations: 2.500 KiB)

.I  ℝ^1 -> ℝ^(1, 5, 8) 
forward preallocated
  0.000001 seconds (3 allocations: 96 bytes)
adjoint preallocated
  0.000000 seconds

.αI  ℝ^1 -> ℝ^(1, 5, 8) 
forward preallocated
  0.000001 seconds (3 allocations: 96 bytes)
adjoint preallocated
  0.000003 seconds (41 allocations: 736 bytes)
▒+d  ℝ^6 -> ℝ^5 
▒-d  ℝ^6 -> ℝ^5 
▒+d  ℝ^6 -> ℝ^5 
▒+d-d  ℝ^6 -> ℝ^5 

▒*[▒,▒]  ℝ^4  ℝ^7 -> ℝ^2 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds

▒*[▒,▒]  ℝ^7  ℝ^4 -> ℝ^2 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000001 seconds

[▒*[▒,▒],▒]  ℝ^4  ℝ^7  ℝ^10 -> ℝ^2 
forward preallocated
  0.000001 seconds (2 allocations: 48 bytes)
adjoint preallocated
  0.000002 seconds (1 allocation: 32 bytes)

[▒*[▒,▒],▒]  ℝ^10  ℝ^7  ℝ^4 -> ℝ^2 
forward preallocated
  0.000001 seconds (2 allocations: 48 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 32 bytes)

[▒*[▒,▒],▒]  ℝ^4  ℝ^10  ℝ^7 -> ℝ^2 
forward preallocated
  0.000001 seconds (2 allocations: 48 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 32 bytes)

[[▒,▒];[▒,▒]]  ℝ^4  ℝ^7 -> ℝ^3  ℝ^5 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds (8 allocations: 224 bytes)

[[▒,ℱ];[▒,ℱ]]  ℂ^4  ℝ^5 -> ℂ^5  ℂ^5 
forward preallocated
  0.000033 seconds (2 allocations: 320 bytes)
adjoint preallocated
  0.000006 seconds (18 allocations: 704 bytes)

[[▒;▒],[▒;▒]]  ℝ^3  ℝ^5 -> ℝ^4  ℝ^7 
forward preallocated
  0.000002 seconds (8 allocations: 224 bytes)
adjoint preallocated
  0.000002 seconds (2 allocations: 32 bytes)

HCAT+HCAT  ℝ^7  ℝ^5  ℝ^3 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds (12 allocations: 336 bytes)

HCAT+HCAT  ℝ^3  ℝ^5  ℝ^7 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000002 seconds (12 allocations: 336 bytes)

Σ  ℝ^5 -> ℝ^4  ℝ^7 
forward preallocated
  0.000001 seconds (16 allocations: 448 bytes)
adjoint preallocated
  0.000001 seconds (3 allocations: 48 bytes)

α[▒,0;0,▒]  ℝ^7  ℝ^5 -> ℝ^4  ℝ^3 
forward preallocated
  0.000002 seconds (6 allocations: 160 bytes)
adjoint preallocated
  0.000001 seconds (6 allocations: 160 bytes)

α[▒;▒]  ℝ^7 -> ℝ^4  ℝ^3 
forward preallocated
  0.000002 seconds (6 allocations: 160 bytes)
adjoint preallocated
  0.000001 seconds (1 allocation: 16 bytes)

α[▒,▒]  ℝ^3  ℝ^7 -> ℝ^4 
forward preallocated
  0.000001 seconds
adjoint preallocated
  0.000001 seconds (6 allocations: 160 bytes)

[▒,0;0,HCAT]  ℝ^4 ... ℝ^5 -> ℝ^2  ℝ^3 
forward preallocated
  0.000001 seconds (2 allocations: 48 bytes)
adjoint preallocated
  0.000002 seconds (1 allocation: 32 bytes)

[[▒,▒],0;0,HCAT]  ℝ^4 ... ℝ^5 -> ℝ^2  ℝ^3 
forward preallocated
  0.000001 seconds (4 allocations: 96 bytes)
adjoint preallocated
  0.000002 seconds (2 allocations: 64 bytes)

α▒+▒  ℝ^7 -> ℝ^5 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000001 seconds (1 allocation: 16 bytes)

α▒*▒  ℝ^4 -> ℝ^3 
forward preallocated
  0.000002 seconds
adjoint preallocated
  0.000001 seconds (1 allocation: 16 bytes)

Testing  calculus non linear operators

ασ  ℝ^3 -> ℝ^3 
forward preallocated
  0.000000 seconds
αJ(σ)  ℝ^3 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000001 seconds (2 allocations: 32 bytes)

α『  ℝ^3 -> ℝ^3 
forward preallocated
  0.000000 seconds
αJ(『)  ℝ^3 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000000 seconds (2 allocations: 32 bytes)

[▒,0;0,σ]  ℝ^4  ℝ^3 -> ℝ^4  ℝ^3 
forward preallocated
  0.000002 seconds
[▒,0;0,J(σ)]  ℝ^4  ℝ^3 -> ℝ^4  ℝ^3 
adjoint jacobian mul! preallocated
  0.000002 seconds (2 allocations: 32 bytes)

[▒,σ]  ℝ^4  ℝ^3 -> ℝ^3 
forward preallocated
  0.000000 seconds
[▒,J(σ)]  ℝ^4  ℝ^3 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000003 seconds (2 allocations: 32 bytes)

[sin,▒]  ℝ^3  ℝ^5 -> ℝ^3 
forward preallocated
  0.000000 seconds
[J(sin),▒]  ℝ^3  ℝ^5 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000001 seconds (2 allocations: 32 bytes)
((5,), (3,))

[sin,▒]  ℝ^5  ℝ^3 -> ℝ^3 
forward preallocated
  0.000000 seconds
[J(sin),▒]  ℝ^5  ℝ^3 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000002 seconds (2 allocations: 32 bytes)

[▒;σ]  ℝ^3 -> ℝ^4  ℝ^3 
forward preallocated
  0.000001 seconds
[▒;J(σ)]  ℝ^3 -> ℝ^4  ℝ^3 
adjoint jacobian mul! preallocated
  0.000001 seconds (2 allocations: 32 bytes)

HCAT  ℝ^3  ℝ^2  ℝ^7 -> ℝ^4  ℝ^3 
forward preallocated
  0.000002 seconds (16 allocations: 448 bytes)
HCAT  ℝ^3  ℝ^2  ℝ^7 -> ℝ^4  ℝ^3 
adjoint jacobian mul! preallocated
  0.000004 seconds (5 allocations: 80 bytes)

[HCAT;HCAT]  ℝ^3  ℝ^6  ℝ^5 -> ℝ^6  ℝ^7 
forward preallocated
  0.000002 seconds
[HCAT;HCAT]  ℝ^3  ℝ^6  ℝ^5 -> ℝ^6  ℝ^7 
adjoint jacobian mul! preallocated
  0.000005 seconds (14 allocations: 368 bytes)

Π  ℝ^3 -> ℝ^5 
forward preallocated
  0.000002 seconds
Π  ℝ^3 -> ℝ^5 
adjoint jacobian mul! preallocated
  0.000001 seconds (2 allocations: 32 bytes)

σ*[(⋅)b,I]  ℝ^(7, 5)  ℝ^7 -> ℝ^7 
forward preallocated
  0.000001 seconds
J(σ)*[(⋅)b,I]  ℝ^(7, 5)  ℝ^7 -> ℝ^7 
adjoint jacobian mul! preallocated
  0.000002 seconds (6 allocations: 96 bytes)

¶σ  ℝ^4 -> ℝ^(2, 2) 
forward preallocated
  0.000001 seconds (2 allocations: 80 bytes)
¶J(σ)  ℝ^4 -> ℝ^(2, 2) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

.σ  ℝ^4 -> ℝ^(4, 7) 
forward preallocated
  0.000001 seconds
.J(σ)  ℝ^4 -> ℝ^(4, 7) 
adjoint jacobian mul! preallocated
  0.000003 seconds (15 allocations: 464 bytes)

.σ  ℝ^1 -> ℝ^(1, 7) 
forward preallocated
  0.000000 seconds
.J(σ)  ℝ^1 -> ℝ^(1, 7) 
adjoint jacobian mul! preallocated
  0.000003 seconds (9 allocations: 224 bytes)

▒+σ  ℝ^5 -> ℝ^5 
forward preallocated
  0.000001 seconds
▒+J(σ)  ℝ^5 -> ℝ^5 
adjoint jacobian mul! preallocated
  0.000003 seconds (2 allocations: 32 bytes)

e-d  ℝ^10 -> ℝ^10 
forward preallocated
  0.000000 seconds
J(e)  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

sin+d*I+d  ℝ^10 -> ℝ^10 
forward preallocated
  0.000001 seconds
J(sin)*I  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000000 seconds (1 allocation: 16 bytes)

Π  ℝ^10 -> ℝ^10 
forward preallocated
  0.000001 seconds
Π  ℝ^10 -> ℝ^10 
adjoint jacobian mul! preallocated
  0.000001 seconds (5 allocations: 80 bytes)

I*sin  ℝ^10 -> ℝ^1 
forward preallocated
  0.000001 seconds
I*J(sin)  ℝ^10 -> ℝ^1 
adjoint jacobian mul! preallocated
  0.000022 seconds (2 allocations: 32 bytes)

▒*▒  ℝ^4 -> ℝ^1 
forward preallocated
  0.000001 seconds
▒*▒  ℝ^4 -> ℝ^1 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

▒*▒  ℝ^(7, 5) -> ℝ^(5, 5) 
forward preallocated
  0.000002 seconds
▒*▒  ℝ^(7, 5) -> ℝ^(5, 5) 
adjoint jacobian mul! preallocated
  0.000004 seconds (1 allocation: 16 bytes)

sin*cos  ℝ^(3, 7) -> ℝ^(7, 7) 
forward preallocated
  0.000002 seconds
J(sin)*J(cos)  ℝ^(3, 7) -> ℝ^(7, 7) 
adjoint jacobian mul! preallocated
  0.000004 seconds (5 allocations: 560 bytes)

[sin+d,▒]*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^1 
forward preallocated
  0.000001 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^1 
adjoint jacobian mul! preallocated
  0.000004 seconds (21 allocations: 656 bytes)

[sin,▒]*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^1 
forward preallocated
  0.000001 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^1 
adjoint jacobian mul! preallocated
  0.000003 seconds (21 allocations: 656 bytes)

[sin+d,▒]*[cos,▒]  ℝ^5  ℝ^3 -> ℝ^1 
forward preallocated
  0.000001 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^5  ℝ^3 -> ℝ^1 
adjoint jacobian mul! preallocated
  0.000003 seconds (21 allocations: 656 bytes)

I*sin  ℝ^10 -> ℝ^(10, 10) 
forward preallocated
  0.000001 seconds
I*J(sin)  ℝ^10 -> ℝ^(10, 10) 
adjoint jacobian mul! preallocated
  0.000001 seconds (2 allocations: 32 bytes)

▒*▒  ℝ^4 -> ℝ^(3, 3) 
forward preallocated
  0.000001 seconds
▒*▒  ℝ^4 -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

▒*▒  ℝ^(7, 5) -> ℝ^(3, 3) 
forward preallocated
  0.000002 seconds
▒*▒  ℝ^(7, 5) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000003 seconds (1 allocation: 16 bytes)

sin*cos  ℝ^(3, 7) -> ℝ^(3, 3) 
forward preallocated
  0.000003 seconds
J(sin)*J(cos)  ℝ^(3, 7) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000004 seconds (5 allocations: 560 bytes)

[sin+d,▒]*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^(3, 3) 
forward preallocated
  0.000002 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000003 seconds (13 allocations: 496 bytes)

[sin,▒]*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^(3, 3) 
forward preallocated
  0.000001 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000002 seconds (13 allocations: 496 bytes)

[sin+d,▒]*[cos,▒]  ℝ^5  ℝ^3 -> ℝ^(3, 3) 
forward preallocated
  0.000002 seconds
[J(sin),▒]*[J(cos),▒]  ℝ^5  ℝ^3 -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000002 seconds (13 allocations: 496 bytes)

I*I  ℝ^(3, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000000 seconds
I*I  ℝ^(3, 3) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

sin*cos  ℝ^(3, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000001 seconds
J(sin)*J(cos)  ℝ^(3, 3) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000002 seconds (5 allocations: 368 bytes)

atan*sin*cos  ℝ^(3, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000001 seconds
J(atan)*J(sin)*J(cos)  ℝ^(3, 3) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000002 seconds (7 allocations: 400 bytes)

▒*▒  ℝ^(2, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000001 seconds
▒*▒  ℝ^(2, 3) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

[sin+d,▒]*[sin,▒]  ℝ^(5, 5)  ℝ^(3, 5) -> ℝ^(5, 5) 
forward preallocated
  0.000004 seconds
[J(sin),▒]*[J(sin),▒]  ℝ^(5, 5)  ℝ^(3, 5) -> ℝ^(5, 5) 
adjoint jacobian mul! preallocated
  0.000006 seconds (11 allocations: 336 bytes)

[sin,▒]*[sin,▒]  ℝ^(5, 5)  ℝ^(3, 5) -> ℝ^(5, 5) 
forward preallocated
  0.000004 seconds
[J(sin),▒]*[J(sin),▒]  ℝ^(5, 5)  ℝ^(3, 5) -> ℝ^(5, 5) 
adjoint jacobian mul! preallocated
  0.000009 seconds (11 allocations: 336 bytes)

[sin+d,▒]*[sin,▒]  ℝ^(3, 5)  ℝ^(5, 5) -> ℝ^(5, 5) 
forward preallocated
  0.000003 seconds
[J(sin),▒]*[J(sin),▒]  ℝ^(3, 5)  ℝ^(5, 5) -> ℝ^(5, 5) 
adjoint jacobian mul! preallocated
  0.000006 seconds (11 allocations: 336 bytes)

▒*▒*▒  ℝ^(7, 5) -> ℝ^(5, 3) 
forward preallocated
  0.000003 seconds
▒*▒*▒  ℝ^(7, 5) -> ℝ^(5, 3) 
adjoint jacobian mul! preallocated
  0.000005 seconds (2 allocations: 32 bytes)

▒*▒*▒  ℝ^(7, 5) -> ℝ^(9, 5) 
forward preallocated
  0.000002 seconds
▒*▒*▒  ℝ^(7, 5) -> ℝ^(9, 5) 
adjoint jacobian mul! preallocated
  0.000005 seconds (2 allocations: 32 bytes)

▒*▒*▒  ℝ^(7, 5) -> ℝ^(9, 5) 
forward preallocated
  0.000005 seconds
▒*▒*▒  ℝ^(7, 5) -> ℝ^(9, 5) 
adjoint jacobian mul! preallocated
  0.000007 seconds (2 allocations: 32 bytes)

I.*I  ℝ^(3, 3) -> ℝ^(3, 3) 
forward preallocated
  0.000000 seconds
I.*I  ℝ^(3, 3) -> ℝ^(3, 3) 
adjoint jacobian mul! preallocated
  0.000001 seconds (1 allocation: 16 bytes)

sin.*cos  ℝ^(3, 2) -> ℝ^(3, 2) 
forward preallocated
  0.000001 seconds
J(sin).*J(cos)  ℝ^(3, 2) -> ℝ^(3, 2) 
adjoint jacobian mul! preallocated
  0.000001 seconds (5 allocations: 304 bytes)

[sin+d,▒].*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^3 
forward preallocated
  0.000001 seconds
[J(sin),▒].*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000004 seconds (13 allocations: 496 bytes)

[sin,▒].*[cos,▒]  ℝ^3  ℝ^5 -> ℝ^3 
forward preallocated
  0.000001 seconds
[J(sin),▒].*[J(cos),▒]  ℝ^3  ℝ^5 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000003 seconds (13 allocations: 496 bytes)

[sin+d,▒].*[cos,▒]  ℝ^5  ℝ^3 -> ℝ^3 
forward preallocated
  0.000001 seconds
[J(sin),▒].*[J(cos),▒]  ℝ^5  ℝ^3 -> ℝ^3 
adjoint jacobian mul! preallocated
  0.000003 seconds (13 allocations: 496 bytes)

Testing L-BFGS routines
LBFGS  ℝ^10 -> ℝ^10 
LBFGS  ℝ^10  ℝ^10 -> ℝ^10  ℝ^10 
  0.241075 seconds (211.52 k allocations: 9.912 MiB)
  0.619664 seconds (398.09 k allocations: 17.940 MiB)
  0.147219 seconds (77.95 k allocations: 3.314 MiB)
  0.283276 seconds (130.05 k allocations: 5.195 MiB, 9.60% gc time)
  0.000008 seconds
  0.000007 seconds (30 allocations: 800 bytes)
  0.000003 seconds
  0.000004 seconds (16 allocations: 448 bytes)
  0.000002 seconds
  0.000005 seconds (54 allocations: 1.406 KiB)
  0.000001 seconds
  0.000002 seconds (16 allocations: 448 bytes)
  0.000001 seconds
  0.000008 seconds (78 allocations: 2.031 KiB)
  0.000001 seconds
  0.000001 seconds (16 allocations: 448 bytes)
  0.000001 seconds
  0.000003 seconds (78 allocations: 2.031 KiB)

Testing linear operators syntax
Test Summary:     | Pass  Total
AbstractOperators | 1256   1256
    Testing AbstractOperators tests passed