Manifest.toml

# This file is machine-generated - editing it directly is not advised

julia_version = "1.8.0"
manifest_format = "2.0"
project_hash = "f3dfdde0f84b113b0fe68ac618acbdac26bfb7cf"

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version = "1.0.0+0"

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[deps.xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "1.4.1+0"

output.txt

=== Dense cpu
  0.015172 seconds (286 allocations: 8.014 MiB)
  0.025266 seconds (28 allocations: 14.130 MiB)
  0.033493 seconds (76 allocations: 46.134 MiB)
=== Dense gpu
  0.000098 seconds (70 allocations: 2.875 KiB)
  0.000110 seconds (175 allocations: 6.266 KiB)
  0.000674 seconds (534 allocations: 27.922 KiB)
=== Linear cpu
  0.087097 seconds (21 allocations: 8.001 MiB)
  2.195996 seconds (154 allocations: 14.136 MiB)
  2.207102 seconds (208 allocations: 46.140 MiB, 1.27% gc time)
=== Linear gpu
  0.000158 seconds (153 allocations: 6.812 KiB)
  0.000282 seconds (436 allocations: 19.750 KiB)
  0.616188 seconds (851 allocations: 44.375 KiB)
=== Dist cpu
  0.094415 seconds (23 allocations: 12.001 MiB)
  2.033280 seconds (162 allocations: 22.136 MiB, 1.14% gc time)
  2.030599 seconds (214 allocations: 54.140 MiB)
=== Dist gpu
  0.000181 seconds (185 allocations: 8.547 KiB)
  0.000316 seconds (502 allocations: 23.609 KiB)
  0.981734 seconds (912 allocations: 47.453 KiB)

Project.toml

[deps]
CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
CUDAKernels = "72cfdca4-0801-4ab0-bf6a-d52aa10adc57"
ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
GR = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
KernelGradients = "e5faadeb-7f6c-408e-9747-a7a26e81c66a"
MLDatasets = "eb30cadb-4394-5ae3-aed4-317e484a6458"
PProf = "e4faabce-9ead-11e9-39d9-4379958e3056"
ProfileView = "c46f51b8-102a-5cf2-8d2c-8597cb0e0da7"
Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
Tullio = "bc48ee85-29a4-5162-ae0b-a64e1601d4bc"
Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

tulliopvg.jl

using Pkg; Pkg.activate(".")

using Profile, PProf
using Statistics
using ChainRules
using Zygote
using CUDA
using CUDAKernels
using KernelAbstractions
using KernelGradients
using Test
using Tullio

using Flux, MLDatasets
using Flux: onehotbatch

newaxis = [CartesianIndex()]

CUDA.allowscalar(false)

fp32(x::CuArray) = convert(CuArray{Float32}, x)
fp32(x::Array) = convert(Array{Float32}, x)


# Reimplementation of Dense with Tullio

function linear_kernel(w, b, x)
    @tullio result[i, j] := w[k, i] * x[k, j]
    return result .+ b
end
struct Linear
    w
    b
end

function Linear(in::Integer, out::Integer; scale=1.0)
    return Linear(scale*randn(in, out) |> fp32, scale*randn(out) |> fp32)
end

Flux.@functor Linear

function(self::Linear)(x::AbstractArray)
    return linear_kernel(self.w, self.b, x)
end

# Implementation of Distance layer

function dist_kernel(w, b, x)
    @tullio result[i, j] := (w[k, i] - x[k, j])^2 |> sqrt
    return -result .+ b
end

struct Dist
    w
    b
end

function Dist(in::Integer, out::Integer; scale=1.0)
    return Dist(scale*randn(in, out) |> fp32, scale*randn(out) |> fp32)
end

Flux.@functor Dist

function(self::Dist)(x::AbstractArray)
    return dist_kernel(self.w, self.b, x)
end

# Benchmarking

for Model in [Dense, Linear, Dist]
    for mode in [cpu, gpu]
        x = randn(Float32, 784, 1024) |> mode
        y = randn(Float32, 1024, 1024) |> mode

        model = Model(784, 1024) |> mode

        function loss(x)
            return Flux.Losses.mse(model(x), y)
        end 

        ddist(x) = sum(dist(x))

        model(x);
        Zygote.pullback(model, x)[2](y);
        gradient(loss, x)

        println("=== $Model $mode")
        @time model(x);
        @time Zygote.pullback(model, x)[2](y);
        @time gradient(loss, x)
    end
end