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catawbasam/abstractarray_anon_pre

Created June 18, 2014 19:09
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abstractarray_anon_pre
{
"metadata": {
"language": "Julia",
"name": "",
"signature": "sha256:6fe564fd5807e59cc459bd6bedc3dd57d1c56c392f17ce2401e0ba3677d8161a"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ProfileView Example and abstractarray.jl :\n",
"#### slow anonymous functions in float(A::AbstractArray) and complex(A::AbstractArray) \n",
"https://github.com/JuliaLang/julia/blob/master/base/profile.jl"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"using ProfileView"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### example function from https://github.com/timholy/ProfileView.jl :"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function profile_test(n)\n",
" for i = 1:n\n",
" A = randn(100,100,20)\n",
" m = maximum(A)\n",
" Afft = fft(A)\n",
" Am = mapslices(sum, A, 2)\n",
" B = A[:,:,5]\n",
" Bsort = mapslices(sort, B, 1)\n",
" b = rand(100)\n",
" C = B.*b\n",
" end\n",
"end\n",
"\n",
"profile_test(1) # run once to trigger compilation\n",
"Profile.clear() # in case we have any previous profiling data\n",
"@profile profile_test(10)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### !!! anonymous functions in abstractarray.jl:319 !!!"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ProfileView.view()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
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"</defs>\n",
"<style type=\"text/css\">\n",
" rect[rx]:hover { stroke:black; stroke-width:1; }\n",
" text:hover { stroke:black; stroke-width:1; stroke-opacity:0.35; }\n",
"</style>\n",
"<script type=\"text/ecmascript\">\n",
"<![CDATA[\n",
" var details;\n",
" function init(evt) { details = document.getElementById(\"details\").firstChild; }\n",
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"<text text-anchor=\"middle\" x=\"600\" y=\"24\" font-size=\"17\" font-family=\"Verdana\" fill=\"rgb(0,0,0)\" >Profile results</text>\n",
"<text text-anchor=\"left\" x=\"10\" y=\"218\" font-size=\"12\" font-family=\"Verdana\" fill=\"rgb(0,0,0)\" >Function:</text>\n",
"<text text-anchor=\"\" x=\"70\" y=\"218\" font-size=\"12\" font-family=\"Verdana\" fill=\"rgb(0,0,0)\" id=\"details\" > </text>\n",
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"include_string in loading.jl:97\n",
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"anonymous in profile.jl:14\n",
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"prof..\n",
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"profile_test in In[2]:5\n",
"</text>\n",
"<rect x=\"1090.398593200469\" y=\"150.0\" width=\"42.883939038687004\" height=\"15.0\" fill=\"rgb(8,139,0)\" rx=\"2\" ry=\"2\" onmouseover=\"s('profile_test in In[2]:5')\" onmouseout=\"c()\"/><text text-anchor=\"\" x=\"1094.398593200469\" y=\"161.5\" font-size=\"12\" font-family=\"Verdana\" fill=\"rgb(0,0,0)\" onmouseover=\"s('profile_test in In[2]:5')\" onmouseout=\"c()\">\n",
"profi..\n",
"</text>\n",
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"profil..\n",
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"rand..\n",
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"map_promote in abstractarray.jl:1288\n",
"</text>\n",
"<rect x=\"1090.398593200469\" y=\"135.0\" width=\"1.3833528722157098\" height=\"15.0\" fill=\"rgb(0,0,122)\" rx=\"2\" ry=\"2\" onmouseover=\"s('fft! in fftw.jl:431')\" onmouseout=\"c()\"/><rect x=\"1091.7819460726846\" y=\"135.0\" width=\"41.500586166471294\" height=\"15.0\" fill=\"rgb(0,88,98)\" rx=\"2\" ry=\"2\" onmouseover=\"s('fft! in fftw.jl:432')\" onmouseout=\"c()\"/><text text-anchor=\"\" x=\"1095.7819460726846\" y=\"146.5\" font-size=\"12\" font-family=\"Verdana\" fill=\"rgb(0,0,0)\" onmouseover=\"s('fft! in fftw.jl:432')\" onmouseout=\"c()\">\n",
"fft! ..\n",
"</text>\n",
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"mapsli..\n",
"</text>\n",
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"promote_to! in abst..\n",
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"promote_to! in abstractarray.jl:1265\n",
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"cartes..\n",
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"anonymous in abstractarray.jl:319\n",
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" TagData(0x00007f88e841fd37,0) \u2026 TagData(0x00007f88e843a920,0) \n",
" TagData(0x00007f88e841fd37,0) TagData(0x00007f88e843a68e,0) \n",
" TagData(0x00007f88e842f7ae,0) TagData(0x0000000000000000,-1),12)"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@time profile_test(10)\n",
"@time profile_test(10)\n",
"@time profile_test(10)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"elapsed time: 0."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"814026148 seconds (156743968 bytes allocated, 7.34% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.814009174 seconds (156730208 bytes allocated, 7.58% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.814474748 seconds (156730224 bytes allocated, 7.58% gc time)\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### abstractarray.jl lines 318-319\n",
"```\n",
"float(A::AbstractArray) = map_promote(x->convert(FloatingPoint,x), A)\n",
"complex(A::AbstractArray) = map_promote(x->convert(Complex,x), A)\n",
"```\n",
"These anonymous functions look like trouble!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Take some timings and compare to a version with named function"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# test array of Int64 to convert\n",
"ir = [i for i in 1:1000000];\n",
"fr = float(ir);\n",
"cr = complex(ir);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@which float(ir)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"float(A::<b>AbstractArray{T,N}</b>) at <a href=\"https://github.com/JuliaLang/julia/tree/353e64a0720118f6fdaba041af2d3bd7f27644ba/base/abstractarray.jl#L318\" target=\"_blank\">abstractarray.jl:318</a>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"float(A::AbstractArray{T,N}) at abstractarray.jl:318"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@time float(ir);\n",
"@time float(ir);\n",
"@time float(ir);\n",
"@time float(ir);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"elapsed time: 0."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"360642214 seconds (39991952 bytes allocated, 5.11% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.365863059 seconds (39991968 bytes allocated, 6.51% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.365807984 seconds (39991952 bytes allocated, 6.51% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.366130502 seconds (39991952 bytes allocated, 6.52% gc time)\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### float(A::AbstractArray) with named function ~ 5.8x faster"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function Base.float(A::AbstractArray) \n",
" cnv(x) = convert(FloatingPoint,x)\n",
" Base.map_promote(cnv, A)\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"Warning: Method definition float(AbstractArray"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"{T,N},)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"float (generic function with 11 methods)"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" in module Base at abstractarray.jl:318 overwritten in module Main at In[8]:2.\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@time float(ir);\n",
"@time float(ir);\n",
"@time float(ir);\n",
"@time float(ir);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"elapsed time: 0."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"065522008 seconds (40043116 bytes allocated, 36.14% gc time)\n",
"elapsed time: 0.038304734 seconds (39992448 bytes allocated)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.062658875 seconds (39992448 bytes allocated, 38.22% gc time)\n",
"elapsed time: 0.06216872 seconds (39992464 bytes allocated, 38.69% gc time)\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### speed ratio"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"0.36/0.062"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"5.806451612903226"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### complex(A::AbstractArray) with named function ~ 6.25x faster"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@which complex(ir)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"complex(A::<b>AbstractArray{T,N}</b>) at <a href=\"https://github.com/JuliaLang/julia/tree/353e64a0720118f6fdaba041af2d3bd7f27644ba/base/abstractarray.jl#L319\" target=\"_blank\">abstractarray.jl:319</a>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"complex(A::AbstractArray{T,N}) at abstractarray.jl:319"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@time complex(ir);\n",
"@time complex(ir);\n",
"@time complex(ir);\n",
"@time complex(ir);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"elapsed time: 0."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"406808621 seconds (55991984 bytes allocated, 5.58% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.402890688 seconds (55991952 bytes allocated, 5.90% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.438426556 seconds (55991952 bytes allocated, 5.54% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.434572414 seconds (55991952 bytes allocated, 6.09% gc time)\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function Base.complex(A::AbstractArray) \n",
" cnv(x) = convert(Complex,x)\n",
" Base.map_promote(cnv, A)\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"Warning: Method definition complex(AbstractArray"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"{T,N},)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"complex (generic function with 11 methods)"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
" in module Base at abstractarray.jl:319 overwritten in module Main at In[13]:2.\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@time complex(ir);\n",
"@time complex(ir);\n",
"@time complex(ir);\n",
"@time complex(ir);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"elapsed time: 0."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"06833231 seconds (56044220 bytes allocated, 36.35% gc time)\n",
"elapsed time: 0.064304898 seconds (55992448 bytes allocated, 37.81% gc time)\n",
"elapsed time: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.065242983 seconds (55992448 bytes allocated, 35.51% gc time)\n",
"elapsed time: 0.064157927 seconds (55992448 bytes allocated, 37.61% gc time)\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### speed ratio"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
".40/.064"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"6.25"
]
}
],
"prompt_number": 15
}
],
"metadata": {}
}
]
}
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