Issue with DSP.jl and FFTW.jl using "MKL" provider

[1oly]

Hi, I'm experiencing a problem using DSP.jl and FFTW.jl together. Digging into it, I was able to locate part of the problem from the build of FFTW.jl. The problem arises with ENV["JULIA_FFTW_PROVIDER"] = "MKL" (and Pkg.build("FFTW") afterwards) and the order of which packages are imported.

This works (with provider "MKL" and "FFTW")

using FFTW, DSP
a = rand(100000)
y1 = fft(a)
y2 = fft(a)
y1 == y2 # true

This does not work (with "MKL")

using DSP, FFTW  # <- importing DSP first triggers error
a = rand(100000)
y1 = fft(a)
y2 = fft(a)
y1 == y2 # false

Also, for shorter length vectors a the error is not triggered.

I'm not sure how to debug further. Any suggestions?
This is not a big problem since I can just use provider "FFTW".

versioninfo():

Julia Version 1.3.1
Commit 2d5741174c (2019-12-30 21:36 UTC)
Platform Info:
  OS: macOS (x86_64-apple-darwin18.6.0)
  CPU: Intel(R) Core(TM) i7-6700HQ CPU @ 2.60GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-6.0.1 (ORCJIT, skylake)

(v1.3) pkg> st
    Status `~/.julia/environments/v1.3/Project.toml`
  [d9c5613a] AbstractOperators v0.2.2
  [537997a7] AbstractPlotting v0.9.25
  [03ede2b8] AeroAcoustics v0.1.0 [`~/.julia/dev/AeroAcoustics`]
  [c7e460c6] ArgParse v1.1.0
  [c52e3926] Atom v0.12.7
  [6e4b80f9] BenchmarkTools v0.5.0
  [b99e7846] BinaryProvider v0.5.8
  [336ed68f] CSV v0.5.26
  [5d742f6a] CSVFiles v1.0.0
  [35d6a980] ColorSchemes v3.6.0
  [5ae59095] Colors v0.11.2
  [f65535da] Convex v0.13.0
  [150eb455] CoordinateTransformations v0.5.0
  [a2441757] Coverage v1.0.0
  [717857b8] DSP v0.6.3
  [a93c6f00] DataFrames v0.20.2
  [864edb3b] DataStructures v0.17.10
  [b4f34e82] Distances v0.8.2
  [31c24e10] Distributions v0.22.5
  [e30172f5] Documenter v0.24.5
  [8f5d6c58] EzXML v1.1.0
  [7a1cc6ca] FFTW v1.2.0
  [5789e2e9] FileIO v1.2.2
  [f6369f11] ForwardDiff v0.10.9
  [e9467ef8] GLMakie v0.0.16
  [28b8d3ca] GR v0.47.0
  [f67ccb44] HDF5 v0.12.5
  [7073ff75] IJulia v1.21.1
  [6218d12a] ImageMagick v1.1.2
  [3570752a] InsertionLoss v0.1.0 [`../../dev/InsertionLoss`]
  [c601a237] Interact v0.10.3
  [e5e0dc1b] Juno v0.8.0
  [b964fa9f] LaTeXStrings v1.1.0
  [266f59ce] LaTeXTabulars v0.1.1
  [5078a376] LazyArrays v0.15.0
  [9c8b4983] LightXML v0.8.1
  [79261aaa] LocalCoverage v0.1.0 #master (https://github.com/tpapp/LocalCoverage.jl.git)
  [2fda8390] LsqFit v0.10.0
  [23992714] MAT v0.7.0
  [6e857e4b] MCMCDiagnostics v0.3.0
  [ee78f7c6] Makie v0.9.5
  [eff96d63] Measurements v2.2.0
  [7269a6da] MeshIO v0.3.1
  [0987c9cc] MonteCarloMeasurements v0.8.3
  [80a8ab25] MultipleScattering v0.1.2 #master (https://github.com/jondea/MultipleScattering.jl.git)
  [2774e3e8] NLsolve v4.3.0
  [15e1cf62] NPZ v0.4.0
  [429524aa] Optim v0.20.1
  [3b7a836e] PGFPlots v3.2.0
  [8314cec4] PGFPlotsX v1.2.4
  [bef90210] PLCT v0.1.0 [`../../dev/PLCT`]
  [9b87118b] PackageCompiler v1.0.2
  [d96e819e] Parameters v0.12.0
  [91a5bcdd] Plots v0.27.1
  [140ffc9f] ProximalAlgorithms v0.3.1
  [a725b495] ProximalOperators v0.10.3
  [438e738f] PyCall v1.91.4
  [d330b81b] PyPlot v2.8.2
  [dca85d43] QuartzImageIO v0.7.0
  [295af30f] Revise v2.5.3
  [f2b01f46] Roots v1.0.0
  [6038ab10] Rotations v0.13.0
  [c946c3f1] SCS v0.6.6
  [6b88af47] ShadowMaps v0.0.0 #master (.)
  [928aab9d] SpecialMatrices v1.0.0
  [65254759] StatsMakie v0.1.3
  [f3b207a7] StatsPlots v0.12.0
  [5e0ebb24] Strided v0.3.3
  [46cd3e9d] StructuredOptimization v0.2.3
  [bd369af6] Tables v1.0.3
  [5e47fb64] TestImages v1.0.1
  [ebf5ac4f] TexTables v0.1.0
  [c751599d] ToeplitzMatrices v0.6.1
  [592b5752] Trapz v1.1.0
  [fce5fe82] Turing v0.8.3
  [b8865327] UnicodePlots v1.2.0
  [8149f6b0] WAV v1.0.3
  [fdbf4ff8] XLSX v0.6.0
  [e88e6eb3] Zygote v0.4.9

EDIT: Had pinned [email protected] in above status, issue persist for [email protected]. Corrected in status print