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@benbovy
Created February 20, 2017 13:25
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Fastscape Preliminary Benchmarks
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Fastscape preliminary benchmarks\n",
"\n",
"Comparison between different implementations: Fortran and Python (Cython, Numba, F2Py)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import glob\n",
"import os\n",
"\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import plot_tools\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import the results\n",
"\n",
"The benchmarks have been run on different machines, with different platforms and different versions of GCC/GFortran and Python.\n",
"\n",
"To ensure proper comparison, we have run all implementations by calling simple scripts using `subprocess.call` with the the exact same configuration (grid size, number of time steps...). The running time is estimated using `timeit.timeit` (only 1 job repeat for each fastscape run)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"benchs = {}\n",
"benchs_info = {}\n",
"\n",
"get_bench_name = lambda f: os.path.splitext(os.path.basename(f))[0]\n",
"\n",
"for info_fname in glob.glob('../results/*.info'):\n",
" with open(info_fname) as f:\n",
" benchs_info[get_bench_name(info_fname)] = f.readline()\n",
"\n",
"for csv_fname in glob.glob('../results/*.csv'):\n",
" df = pd.read_csv(csv_fname, index_col=0)\n",
" df.index = df.index**2 # convert nx/ny to total nb of points\n",
" benchs[get_bench_name(csv_fname)] = df.sort_index(axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each implementation, we also calculate the relative time compared to the pure Fortran implementation, which is expected to be the fastest."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"benchs_rel = {name: df.divide(df['pure_fortran'], axis='rows')\n",
" for name, df in benchs.items()}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparison on a single hardware/software setup\n",
"\n",
"Here we compare the different implementations that have been run on the machine `macbookpro-15-mid2015_gcc6` which has the following characteristics:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Darwin-15.5.0-x86_64-i386-64bit - Intel(R) Core(TM) i7-4870HQ CPU @ 2.50GHz - GNU Fortran (Homebrew GCC 6.3.0_1) 6.3.0 - python 3.6.0 - numpy 1.11.3 - cython 0.25.2 - numba 0.30.1 - llvmlite 0.15.0\n",
"\n"
]
}
],
"source": [
"bench_name = 'macbookpro-15-mid2015_gcc6'\n",
"\n",
"print(benchs_info[bench_name])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The left figure below shows the absolute run times for different grid sizes. The dependence on grid size is nearly linear for all implementations, which is consistent with the $\\mathcal{O}(n)$ complexity of the algorithm, but the slopes are different. The pure Fortran implementation is unsurprisingly the fastest implementation.\n",
"\n",
"The right figure shows the relative time compared to the pure Fortran implementation. We see that for small grid sizes, relatives times are high. This is due to the time needed to jit compile and/or to import the python packages during runtime. For greater grid sizes, the relative times are less dependent on grid size. Note that we only run Fastscape once for each dot in the plot. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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NMAzsNWoQ+tqrBHbufMPvvX//fuLj4wFYsGABbdq0oUaNGtSoUYPXX3+d3r3/\nd38Th8NBbm7u1bMGBhIcHMzq1asBmDt3bmHlfyO+/PJL3nrrLRYvXkyFChUuem7ZsmWkpKSQmZnJ\np59+WvjXi65du/Lll1+yYcMGOnXqdMMZRLxJek46A5cP5OjZo0xuP5l6wfWsjiRlnN33XLc6zRyJ\neByNJb1vLFmuZ46gYKcuiR34UpGRkUyePJk+ffrQoEEDBg4cCED37t05fvw49evXL1y3f//+REVF\n0axZM8aNG3fF95w9e3bhRXR16tRh5syZN5zzmWeeITs7mw4dOgAFF9J98MEHALRo0YLHHnuM5ORk\nevToQfPmzQHw9fWlXbt2BAUFYbPZbjiDiLfIzstmyMoh7Dy1k0n3TaJptaZWRxIvcH7mSA0ZRDyT\nxpLeNZYs98WRu9jtdubNm3fZ8jVr1tCvX7+Llr355pu8+eabhV9v2bKl8PGwYcMKHzdp0oR169Zd\n9p6rVq0qfFy1atWrnicaERFx0fvv3r37iuuGhYUVdkS5UH5+PuvWreNf/yq6C4tIeZSXn8eob0ex\n/sh6xrcZzz1h91gdSbyEQ628RcoljSWtUa5Pqytt0dHRJCYmelRHjuL6+eefqVu3Lu3bt+e2226z\nOo6IRzBNk9fWvcby/csZeedIOt9a8n9BlPLLrpkjETlHY0n308yRG1xaUZ+3adOmUsvw1VdfMXLk\nyIuW1a5dm0WLFl3X63v16kWvXr0uW96gQQP27t1bEhFFvMbEHybyya5P6Ne4Hz0alN0Dlngmm80H\nH5uhVt4i5YjGktZRceSlOnXq5HEXuIl4o9lbZxO3JY5u9boxuOlgq+MUS9qSJRx7731chw9jDw2l\n2tDn3HLevNw4h9OmbnUiUqrK61hSxZGIyK+0eM9i3t74Nh1u6cBLLV+6rGWpJ0tbsuSi9rOuQ4c4\n/PIYABVIHsjua9N9jkRESoGuORIR+RVWHVjFmO/G0DK0JRPunoDNx7O67VzLsffev+i+HABmVhbH\n3nvfokRyNZo5EhEpHSqORESKadPRTQz77zBur3w7E9tNxNfma3WkYnMdPlys5WItu6+PutWJiJQC\nFUciIsWwI2UHg1cMJrRiKFPvn0pFR0WrIxWbaZr4VCw6tz00tJTTyPVwOHVanYhIaSj3xdHO748w\n+8XvmDzgG2a/+B07vz9S6hnGjx9f+DgpKYlGjRqVeoaSEBAQYHUEEbc6cPoAMctiqOCowPQO0wn2\nC7Y6UrGRc4NRAAAgAElEQVSZeXkcefVV8tPT4ZIb7xl+flQb+pxFyeRqHL42zRyJeCiNJUuOJ4wl\ny3VxtPP7I6ycv530lGwA0lOyWTl/e6nv1Bfu0CLimY5nHKf/sv64TBfTO0wnNKDszbDk5+Rw8IVh\npP7jI6r0fYrQN97AXqMGGAb2GjUIfe1VNWPwUHanjdwctfIW8TQaS3ofr+5Wt/qfOzlxIP2Kzx/9\nJY08l3nRMldOPt/M3cbWNYeKfE3VWgHc/ft6V91uUlISDzzwANHR0fzwww80bNiQPn36MH369MK7\nBC9btowpU6YQGRlJZmYmTZo0oWHDhowbN468vDz69evH2rVrqVmzJp999hn+/v4kJCQwYMAAMjIy\nuPXWW5kxYwbBwcG0bduWli1bsnLlSlJTU4mLi+Puu+8uMtusWbNYvHgxGRkZ7Nmzh65du/LWW28B\nBdV6enrBz+vjjz/m888/Z9asWfTq1Qt/f382b97MsWPHmDFjBnPmzCE+Pp6WLVsya9aswvcfOnQo\nX3/9NdWrV+ejjz4iJCSEDz/8kOnTp5OTk0PdunWZO3cuFSpUuOrPUMSTnM45zYDlAziZdZK/d/w7\ndYLqWB2p2PLSz3Lw2cGcXRtPteHDqfJUHwCCuqgYKgsc6lYnYgmNJS/n7WPJcj1zdOnOfK3lxbFj\nxw4GDRrEtm3buOmmm9i6dSvbt2/n+PHjAMycOZM+ffowYcKEwp11/vz5AOzatYunn36arVu3EhQU\nxCeffALAn//8Z958800SExNp3Lgxf/3rXwu353K5WL9+Pe+///5Fy4uSkJDAwoUL+emnn1i4cCEH\nDhy45vdz6tQp4uPjee+99+jSpQtDhw5l69at/PTTTyQkJABw9uxZmjdvztatW7n33nsLczz66KNs\n2LCBH3/8kfr16xMXF1f8H6iIRbJcWQxeMZi9aXt5v+37RIVEWR2p2FwpKezv3Zuz368n9I03Cgsj\nKTvs6lYn4pE0lvS+saRXzxxdqyqf/eJ3hdOgFwqo7KTrC81uaNu1atWidevWAPTo0YNJkybx5JNP\nMm/ePHr37k18fDxz5swp8rW1a9emSZMmAERHR5OUlERaWhqpqance++9APTs2ZNu3boVvubRRx+9\naP2rad++PYGBgUDBXYr37dtHrVq1rvqazp07YxgGjRs35uabb6Zx48YANGzYkKSkJJo0aYKPjw9/\n+MMfCr/n85m2bNnCX/7yF1JTU0lPTy+XNxSTssmV72L4f4ez+dhm3rrnLVrVbGV1pGLLPXSI/U/1\nJffQIcJiY6l0XzurI8mv4PD10cyRiAU0liyaN48lvbo4upa7fncrK+dvx3XBedx2Xx/u+t2tN/ze\nl94M0jAMevfuTefOnfHz86Nbt27Y7UX/+J1OZ+Fjm81GZmbmNbd3/jU2mw2Xy3Vd6166/oWZsy65\n/8n51/j4+Fz0eh8fnytu7/z79erVi08//ZQ77riDWbNmsWrVqmt+PyJWyzfzeWXtK6xKXsVfWv6F\nB2o/YHWkYsvevZv9T/UlPyOD8Li/U6F5c6sjya9kd9pw5eZj5psYPmXnZsMi3k5jSe8bS5br0+rq\ntaxOu+63E1C54AMKqOykXffbqdey+g2/9/79+4mPjwdgwYIFtGnThho1alCjRg1ef/11evfuXbiu\nw+EgNzf3qu8XGBhIcHAwq1evBmDu3LmFlX9Jufnmm9m2bRv5+fksWrSo2K/Pz8/n448/Bv73PQOc\nOXOG0NBQcnNzC6d7RTyZaZq8s/EdFu9ZzKAmg/jD7X+wOlKxZSYksK97D8z8PG6ZO0eFURnncBZ0\nFtSpdSKeRWPJi3nDWLJczxxBwU5dEjvwpSIjI5k8eTJ9+vShQYMGDBw4EIDu3btz/Phx6tevX7hu\n//79iYqKolmzZowbN+6K7zl79uzCi+jq1KnDzJkzSzTzhAkTePjhhwkJCaF58+aFF9Rdr4oVK7J+\n/Xpef/11qlWrxsKFCwF47bXXaNmyJSEhIbRs2ZIzZ86UaG6Rkha3JY45P8/hidufYEDUAKvjFFv6\n6tUkPzsEe0gI4XF/x/capzqI53P4FhRHrpx8fP0sDiMiF9FY8n+8YSxpmOaNXzBmlebNm5sbN268\naNm2bdsu2lmskJSUxMMPP8yWLVsue+6ZZ56hadOmPPXUUxYkKxs84TOU8uuTnZ8wNn4sD9Z+kAl3\nT8DHKFsT7GmfL+XQqFE469Yl/MPp2ENC3L5NwzA2maapqakiFHWc+jW2xx9mxext9HjtLgJD/Esg\nmYhciSeMQzSWvDFFfYbXe6wq9zNHpSk6OpqKFSvyzjvvWB1FRIqwfN9yXl33Kq1rtGZc63FlrjBK\nmTefo+PGUSE6mrCpU7BVqmR1JCkh9sKZI51WJ1KeaSzpfiqO3CAiIqLISn/Tpk2lluGrr75i5MiR\nFy2rXbv2rzr/U6Q8WH94PSO+HUGjqo14t+27OGwOqyNdN9M0ORH7N05MmUJA+/bUfPcdfC642FXK\nvsJrjtSxTqRc0FjSOiqOvFSnTp3UMlvkOm09uZVnVz7LLTfdwpT2U6jgKDs3KTbz8jjy2mukfrSQ\nwMceJfSvf8W4QvciKbsczoJZTDVkEJHSUl7Hkl55BDVN87L2h1I2lOVr4KRsSkpLYtDyQQT6BvLB\n/R8Q6Ay0OtJ1y8/J4dCIkZz58kuq9OtLyPPP63eflzp/Wl1uloojkdKgsWTZdaNjybJ1Qv118PPz\n4+TJkxpkl0GmaXLy5En8/NSKSUrH0bNH6b+sPwDTOkzj5oo3W5zo+uWlnyV5wADOfPkl1UaMoNoL\nL+hA7sXOn1ana45E3E9jybKrJMaSXjdzFBYWRnJyMsePH7c6ivwKfn5+hIWFWR1DyoG07DRilsVw\nOuc0cZ3iiAiMsDrSdXOlpHCgfwxZ27YR+sYbBHV9xOpI4maFM0e65kjE7TSWLNtudCzpdcWRw+Gg\ndu3aVscQEQ+WkZvBoBWD2H9mPx/c/wENqzS0OtJ1yz10iP1P9SX30CHCYmOpdF87qyNJKfjfzFG+\nxUlEvJ/GkuWb1xVHIiJXk5uXy/P/fZ4tJ7bwzr3v0CK0hdWRrlv27t3sf6ov+RkZhM+Io0J0tNWR\npJQ4NHMkIlIqvO6aIxGRK8k383npu5f47uB3jPnNGO6/5X6rI123zIQEkrr3wMzP45Z5c1UYlTM+\ndgPDx1C3OhERN1NxJCLlgmmaTFg/gf/88h+GNBvCY/UeszrSdUtfvZp9vftgCwwkYsEC/CIjrY4k\npcwwDBy+Prg0cyQi4lYqjkSkXPgg8QP+sf0f/LnBn3mq0VNWx7luaZ8v5cDAQfhGRBAxfx6+tWpZ\nHUksYnfaNHMkIuJmKo5ExOst3L6QKQlT6HJrF15oXnZaXqfMnceh4cOp0LQpt8yZjT0kxOpIYiGH\n06aZIxERN1NDBhHxal8mfcm478dxb9i9jG01Fh/D8/8mZJomJ2JjOTFlKgHt21Pz3XfwcTqtjiUW\nczht5KpbnYiIW6k4EhGvtfbgWkavHk3Tak15+963cfg4rI50TWZeHkdee43UjxYS+NijhP71rxh2\n/aqWgo516lYnIuJeOuKKiFdKPJ7Ic6ueo05gHWLbx+Jn//V3yy4t+Tk5HBoxkjNffkmVfn0Jef75\nMnMKoLif3WkjJ9NldQwREa+m4khEvM7e1L0MWjGIKn5VmNZhGjf53mR1pGvKSz9L8uBnyIhfR7UR\nI6jSp7fVkcTDOHxtnE3NtjqGiIhXU3EkIl7lcPph+i/rj92wM73DdKr6V7U60jW5UlI40D+GrG3b\nCH3jDYK6PmJ1JPFAdqcPLnWrExFxKxVHIuI1UrJS6L+sPxm5Gcx8YCa1bvL8tte5Bw+yv28/cg8d\nIiw2lkr3tbM6kngoXXMkIuJ+Ko5ExCuczT3LoOWDOHz2MNM6TCOysuffKDV71y729+1HfkYG4TPi\nqBAdbXUk8WB2p4ojERF3U3EkImVeTl4OQ1YOYXvKdt5v9z7RN3t+kZGZkMD+mAEYvg5umTcXv0jP\nL+bEWg5fG66cfMx8E8NHjTpERNzB82/4ISJyFXn5eYxaPYrvD3/Pq61fpW2ttlZHuqb01avZ17sP\ntsBAIv7xDxVGcl0cThsArlzd60hExF1UHIlImWWaJuO+H8eyfcsY1nwYXW7tYnWka0pb8jkHBg7C\nNyKCiAXz8Q0LszqSlBF234LiSKfWiYi4j4ojESmzYjfH8q+d/+KpRk/Rs2FPq+NcU8rceRwaPpwK\nTZtyy5zZ2Kt6fic98RwOZ8EhWx3rRETcR9cciUiZNO/neXz404c8dttjDGk2xOo4V2WaJidiYzkx\nZSoB97en5jvv4ON0Wh2Lnd8fIf6zPaSnZBNQ2cldv7uVei2rWx1LrkAzRyIi7qfiSETKnCV7lvDm\nhjdpH96ev/zmLxiG516cbublceS110j9aCGBjz9G6NixGHbrf/Xu/P4IK+dvx5VTcP1Keko2K+dv\nB1CBdA2GYdiAjcBB0zQfLq3tnr/mKFczRyIibqPT6kSkTPk2+VvGfDeGFtVb8OY9b2L3sb7QuJL8\nnBwOPv8CqR8tpEq/voS+9ppHFEYA8Z/tKSyMznPl5BP/2R6LEpUpQ4Btpb1Rx7mZI5dmjkRE3EbF\nkYiUGZuPbeaFVS9wW/BtTGw3EafN+lPTriQv/SwHYmI489VXVBsxgmovvOBRM1zpKdnFWi4FDMMI\nAx4C/l7a23b4nZ85Urc6ERF38Yw/YYqIXMPOUzt5esXTVK9Ynan3TyXAN8DqSFfkSknhQP8YsrZt\nI3TCGwQ98ojVkS7yS+KJKz4XUNlzC04P8T4wAqh0pRUMw+gP9AcIDw//1RtauncpE3+YyJGzR6he\nsToDb3kO8NPMkYiIG2nmSEQ8XvKZZAYsG4C/zZ9pHaZRxb+K1ZGuKPfgQfb9qTvZu3YRFhvrUYWR\naZps/no/X0xNpFIVJzbHxYcAu68Pd/3uVovSeT7DMB4Gjpmmuelq65mmOd00zeamaTYPCQn5Vdta\nuncpY9eO5fDZw5iYHD57mIk/vgfomiMREXfSzJGIeLQTmSfov6w/2XnZzH5gNjUCalgd6Yqyd+1i\nf99+5GdkED4jjgrR0VZHKpTnymfVgh1sX3uYW5tVo32v+vyy+bi61RVPa6CLYRi/BfyAmwzDmGea\nZo+S3tDEHyaSlZd10bJ0TgPqVici4k4qjkTEY53JOcPA5QM5kXmC6R2mUze4rtWRrihj82YODBiI\nj68vt8ybi19kpNWRCmWm5/DltC0c2pVK84ciaPFQbQwfg3otq6sYKgbTNEcDowEMw2gLDHNHYQRw\n5OyRy5a5bDkF/2rmSETEbVQciYhHys7L5tlvnmX3qd3Eto+lSbUmVke6ovTVq0l+dgj2kBDCZ8Th\nGxZmdaRCKYfOsnTKj5xNzaHDUw2od6eKobKgesXqHD57+KJleYYLk3zNHImIuJGuORIRj+PKdzH8\nv8PZeHQjr7d5nTY121gd6YrSlnzOgYGD8I2IIGLBfI8qjPZtPcknb20kNyefR15oqsKoBJmmucqd\n9zga0mwIfja/i5b52f3w8TVUHImIuJFmjkTEo5imyavxr7LywEpGtRjFQ3UesjrSFaXMncfRceOo\ncOedhE2ZjK3SFRuYlSrTNPlpVTJr/rmLyjUDeGhQFJUq+137heIxzu/3o1ePxsQktGIoQ5oN4Vii\nU93qRETcyG0zR4ZhzDAM45hhGFsuWDbWMIyDhmEknPvvtxc8N9owjN2GYewwDKOTu3KJiGd774f3\nWLR7EQPuGED3+t2tjlMk0zQ5PmkSR8eNI+D+9tT6+4ceUxjl5eXz7T92snrhLm5pXJVHhzVTYVRG\nPVTnIWoG1OShOg/x9eNf81Cdh7A7bbrPkYiIG7lz5mgW8DdgziXL3zNN8+0LFxiG0QD4I9AQqAEs\nNwyjnmma+vOYSDkyc8tMZm6ZyR8i/8CgOwZZHadIZl4eR159jdSFCwl8/DFCx47FsHvGJHzW2Vy+\n+nALydtP0bRjOHc9ciuGj+fceFaKL9gvmNSs1MKvHb42nVYnIuJGbjuim6b5rWEYEde5+u+Aj0zT\nzAZ+MQxjN9ACiHdTPBHxMIt2LeLdTe/yQMQDjG4xGsPwvEF9fk4Oh4aP4MxXX1GlXz9Cnh/qMTlT\nj2awdEoip09kct+f61O/VajVkaQEBPsFcyLzfzftdTh91K1ORMSNrGjIMNgwjMRzp90Fn1tWEzhw\nwTrJ55aJSDnwzf5vGBs/lrtC72J8m/HYfGxWR7pMXvpZDsTEcOarr6g2ciTVXnjeYwqj5O0pfPzm\nRrLSc/ndc01VGHmRIGfQRTNHds0ciYi4VWkXR1OBOkAT4DDwTnHfwDCM/oZhbDQMY+Px48dLOp+I\nlLINRzYw/L/DaVilIe+3ex+HzWF1pMu4UlLY37MnGes3EDrhDar07mV1pEJbVx9kyaQfqRDo5PFR\nzalxW5DVkaQEBTuDOZV9qvBrh9OmmSMRETcq1RPlTdM8ev6xYRgfAp+f+/IgUOuCVcPOLSvqPaYD\n0wGaN29uuiepiJSGbSe38ew3zxJWKYzJ7SdTwVHB6kiXyT14kP1P9SX38GHC/hZLpXbtrI4EQH6+\nyXcf7yLxm2TCG1amY99GOP0949onKTlBfkFkujLJcmXhZ/fTzJGIiJuV6syRYRgXnuvRFTjfyW4x\n8EfDMJyGYdQGbgPWl2Y2ESld+07vY8DyAQT4BjCtwzSC/YKv/aJSlr1rF0l/6o4rJYXwGXEeUxjl\nZLpYOjmRxG+SueO+Wjw0KEqFkZcKdhb8f5GaXXBqncNP3epERNzJbUdTwzD+AbQFqhqGkQy8ArQ1\nDKMJYAJJQAyAaZpbDcP4J/Az4AKeVqc6Ee91LOMYMctiyDfzmdZhGtUret7NSTM2b+bAgIH4+Ppy\ny9w5+EVGWh0JgNMnMvl8ciJpRzO490+RNLpHl2d6syC/gtMkT2WdonrF6jh8bbrPkYiIG7mzW90T\nRSyOu8r644Bx7sojIp4hLTuNmGUxpGSlMKPTDOoE1rE60mXSV68m+dkh2KuFEB4Xh29YmNWRADi0\nO5X/fPATZr5J52fvIOz2ylZHEjer7FfwGZ+/7sjhtJGbk4dpmh7TEERExJvoPAwRKTWZrkwGfzOY\nfaf3Mbn9ZBpVbWR1pMukLfmcQ6NH46x3G+HTp2OvWtXqSABsjz/MynnbuamqPw8NiiLoZs+7PktK\nXpCzYObofMc6u68PmJCXm4/d1/O6OoqIlHUqjkSkVOTm5/LCqhdIOJbA2/e+zV017rI60mVS5szl\n6PjxVLjzTsKmTMZWqZLVkTDzTdZ9tocfvtpP2O3BdOrXCL+KntfRT9zj/DVHF84cAeTm5Kk4EhFx\nAxVHIuJ2+WY+Y74bw+qDq3n5Ny/TMaKj1ZEuYpomxydN4uTUDwi4vz0133kHH6fT6ljkZLlYPvNn\nfvnxBA3vqcndf7gNm82K29OJVSr5VsLH8OFUVkFxdL4gys3Owz/AymQiIt5JxZGIuJVpmvzfhv/j\n872fM7jpYH4f+XurI13EzMvjyKuvkbpwIYGPP0bo2LEYdut/NZ5JyWLplERSDqZz9x9uo3HbMF1j\nUg7ZfGwE+gb+r1vduZkjV7Y61omIuIP1IwAR8Wof/vQh87bNo0f9HvRr3M/qOBfJz8nh0PARnPnq\nK6r060fI80M9ogA58ksaX0z9ibycPB565g5uaVjF6khioSC/oMKZI8cFM0ciIlLyVByJiNv8c8c/\nid0cy8N1Hmb4ncM9ovA4Ly/9LMnPPEPGunVUGzmSKr17WR0JgJ0bjvDN7O1UDPLlkeeaUrlGRasj\nicWCncGFM0f2C645EhGRkqfiSETc4uukr3l93evcXfNuXm39Kj6G51wr40pJ4UC//mRt307ohDcI\neuQRqyNh5pusX/oLG5cmEVo3kAcHNMY/wNfqWOIBgv2C2X9mP/C/mSPd60hExD1UHIlIiVt3eB2j\nVo/ijpA7eKftOzh8PKe7Wu7Bg+x/qi+5hw8T9rdYKrVrZ3UkcnPy+Gb2NnZvOsbtrUJp+0QkNofn\nFJNirSBnEInHEwGwOwv2C80ciYi4h4ojESlRW09sZcg3Q7jlplv4W/u/4W/3tzpSoexdu9j/VF/y\ns7IInxFHhehoqyNxNjWbL6Ymcmz/Ge569Faadgj3qNMPxXrBfsGcyj6FaZq65khExM1UHIlIidmb\ntpeBywcS7BfMtA7TCHQGWh2pUMbmzRwYMBAfX19umTsHv8hIqyNxfP8Zlk5JJDvTxW8HNKb2HSFW\nRxIPFOQMwpXvIj03Hce5FvMuzRyJiLiFztsQkRJx5OwRYpbFYBgG0ztMp1qFalZHKpT+7bfs7/MU\ntqBAbvnHAo8ojPZsPsa//28ThgGPDW+mwkiuKNiv4EawqVmp/2vIoJkjERG30MyRiNyw1KxUYpbF\nkJ6TzoxOMwi/KdzqSIXSlizh0OgXcda7jfDp07FXrWppHtM02fTlPr7/bC83176JBwc0pmKg9Tec\nFc8V5AwC4FT2KcIqhYEBrhzd50hExB1UHInIDcnIzWDQikEkn0nmgw4fUL9KfasjFUqZM5ej48dT\noUULwib/DVulSpbmceXmsXLednZ+f5Tb7ryZ+/58O3aHzdJM4vkq+1UGIDU7FcMwcPjaNHMkIuIm\nKo5E5FfLzctl6KqhbD25lXfbvsud1e+0OhJQMDtzfNIkTk79gEod7qfG22/j47R2dibjdA7/+SCR\nI3tP07JLHaIfvEWNF+S6FM4cnbsRrN1pU7c6ERE3UXEkIr9KXn4eL655kbWH1vJqq1dpH97e6kgA\nmHl5HHn1NVIXLiTw8ccIHTsWw27tr7qTB9P5fPKPZJ3JpVO/RtSN9pzrscTzFV5zdO5GsA5fH93n\nSETETVQciUixmabJG+vf4MukL3k++nm63tbV6kgA5OfkcGj4CM589RVV+vcnZOhzls/OJCWe4Ou4\nrfj62eg6rBnVbrnJ0jxS9lSwV8Dh4yAlKwUAh1On1YmIuIuKIxEptik/TmHhjoX0btib3o16Wx0H\ngLz0syQ/8wwZ69ZRbdRIqvTqZWke0zRJWH6Atf/eTUitSvx2YBQBwWq8IMVnGAbBzuDCmSO7r02t\nvEVE3ETFkYgUy/xt8/ngxw94pO4jDI0eanUcAFwpKRzo15+s7dsJnfAGQY88YmmePFc+//3HDrZ9\nd5hbm4XQvleDwpt3ivwaQX5BhdccFcwcqVudiIg7qDgSkev2xd4vmLB+Au1qteOVu16x/JQ1gNyD\nB9n/VF9yDx8m7G+xVGrXztI8Wem5/GfaTxzalUrz30bQ4uHaGD7W/5ykbLt05ijzTK7FiUREvJOK\nIxG5LmsOruGlNS8RfXM0b93zFnYf6399ZO/axf6n+pKflUX4jDgqREdbmifl8FmWTknk7KlsOvRp\nQL0W1S3NI94j2C+Y7SnbgXMzRzqtTkTELawf3YiIx0s4lsDzq56nbnBdYu+Lxc/uZ3UkMjZv5sCA\ngfj4+nLL3Ln4RdazNM/+n0/y1YdbsdkNHnm+KdXrBFqaR7xLkDNI3epEREqBiiMRuardp3bz9Iqn\nCfEPYer9U6nka+2NVAHSv/2W5GeHYL+5GuFxcfiGhVmaJ3FlMmv+tYvKoRX57aDG3FTF39I84n2C\n/YJJy04jLz9P9zkSEXEjFUcickUH0w8SsywGp83JtA7TqOpf1epIpC1ZwqHRL+Ksdxvh06djr2pd\npry8fNb8cxdb/nuQiKiqdOjTAF8//VqVkhfkDMLEJC0nDYevDVd2HqZpesR1fyIi3kRHcREp0snM\nk8QsiyEzL5NZD8wirJK1szMAKXPmcnT8eCq0aEHYlMnYAgIsy5J1NpevPtxC8vZTNO0Qzm+63oqP\nGi+ImxTeCDYrFbvThmkWdEW0O9QFUUSkJKk4EpHLpOekM3D5QI6ePcr0jtOpF2zt9TymaXJ80iRO\nTv2ASh3up8bbb+PjtO6eQalHM1g6JZHTJzK578+3U79VDcuySPkQ5AwC4FT2KRy+1QBwZas4EhEp\naSqOROQi2XnZDFk5hJ2ndjLpvkk0rdbU0jxmXh5HXn2N1IULCer2ONVfeQXDbt2vruQdp/hy2k8Y\nhsHvnmtCjduCLcsi5Udlv8pAwcxRqDMUgNycPPxwWBlLRMTrqDgSkUJ5+XmM+nYU64+sZ3yb8dwT\ndo+lefJzcjg0fARnvvqKKv37EzL0OUuvsdi6+iDf/mMngdX8eejpOwgMUeMFKR0XzhyFOwtmi3LV\nsU5EpMSpOBIRoODUtdfWvcby/csZeedIOt/a2dI8eelnSX7mGTLWraPaqJFU6dXLsiz5+SZrP9nN\njysOEN6gMh37NcLpr1+fUnqC/AqKo9TsgmuOAFzqWCciUuJ0dBcRACZtnsQnuz6hX+N+9GjQw9Is\nrpMnOdA/hqzt2wmd8AZBjzxiWZacTBdfx21l35aTRLULo/XjdfGx+ViWR8onp81JBXsFUrJScFQq\n2P80cyQiUvJUHIkIs7fO5u8//Z1u9boxuOlgS7PkHjzI/qf6knvkCGGT/0altm0ty3L6RCZLpyRy\n6kgG9/4pkkb31LQsi0iwX3BBt7qqOq1ORMRdVByJlHOL9yzm7Y1v0+GWDrzU8iVLr+nJ3rWL/U/1\nJT8ri/AZcVRo1syyLId3p/LFBz9h5pt0fvYOat1e2bIsIlBw3VFBt7rzp9XlW5xIRMT7qDgSKcdW\nHVjFmO/G0DK0JRPunoDNx7q2wBk/bObAwIH4+Ppyy9y5+EVa1z58+7rDrJy3nUqV/XhoUBTB1Sta\nlkXkvPMzRw41ZBARcRsVRyLl1Kajmxj232HcXvl2JrabiK/N17Is6d9+S/KzQ7DfXI3wuDh8w6y5\n4ayZb7Lus7388NU+akYG80D/RvhVVKtk8QzBzmB+SfsFu68aMoiIuIuKI5FyaEfKDgavGExoxVCm\n3FIa9F0AACAASURBVD+Fig7rZkbSlizh0OgXcda7jfAPP8RepYolOXKyXCyf+TO//HiCBnfX4J4/\n1sOmxgviQYL8gkjN1syRiIg7qTgSKWcOnD7AgOUDqOCowPQO0wtvLmmFlDlzOTp+PBVatCBsymRs\nAQGW5DiTksUXUxM5mZxOm263EXVfmKXXXknpMQyjgmmaGVbnuB7BzmDO5p4l38cFqDgSEXEH/VlU\npBw5nnGc/sv6k5ufy/QO0wkNCLUkh2maHHv/fY6OH0+lDvdT68PplhVGR385zccTNpJ2PJOHnr6D\nO9rXUmFUDhiG0cowjJ+B7ee+vsMwjCkWx7qqwnsd5aRi9/UhV6fViYiUOM0ciZQTp3NOM2D5AE5m\nneTvHf9OnaA6luQw8/I48uprpC5cSFC3x6k+diyGzZpGELs2HGXFnG1UDPSly3NNqFLDmgJNLPEe\n0AlYDGCa5o+GYdxjbaSrC3YGAxSeWufSzJGISIlTcSRSDmS5shi8YjB70/Yy+b7JRIVEWZIjPyeH\nQ8OGc+brr6nSvz8hQ5+zZJbGNE02fP4LG5YmEVo3kAdjGuNfybqGFGIN0zQPXLL/eXS1EeQsmDk6\nlX0Ku69NM0ciIm6g4kjEy7nyXQz/73A2H9vMW/e8RauarSzJkZd+luRnniFj3TqqjRpJlV69LMnh\nysljxext7N50jNt/U5223W/H5tAZxuXQAcMwWgGmYRgOYAiwzeJMV3X++sCCdt7BuLJ1nyMRkZKm\n4kjEi+Wb+byy9hVWJa/iLy3/wgO1/5+9+w6PssoeOP59ZybJpCcESIAk9N4DIna6KPa6rqvub1Gq\nAioqYAF7QQQUEIKgYFnXsroiCoSuNJGIoQgBQklII71Ov78/JmDAAAlMScL5PA9PyDuZew6gmTm5\n7zl3qFfysOXmkjpiJKZ9+2j65huE3nqrV/IoLTTzw7wkso8Vc8Xtrek5JFb6iy5do4DZQDPgOLAK\nGOvVjM7jZM+Rc+eooewcCSGEG0hxJEQ9pZRixq8z+O7Qd4zpMYZ7O9zrlTwsacdJffhhrJmZRM+d\nQ3C/fl7J48SxYpbPS8JcbuOGkV1p1aORV/IQtYNSKge439t51ESIbwgaGgWmAppIz5EQQriFFEdC\n1FOLdi9i6d6l3NfhPkZ1G+WVHEzJyaQ+/AgOk4nYxYsIiIvzSh4pv50g4cM9GAN9uGNiHI1igr2S\nh6g9NE1rCTwGtKDSa6FS6hZv5XQ+Bp2BEL8Q8kx5xPrpKSmzejslIYSod6Q4EqIe+jr5a2YnzuaG\nljcwqc8kr9w6Vpb4G6mjR6Pz9aX5xx9jbN/O4zkopUhceZSt36YQ2TKEG0Z1JTDUz+N5iFrpW2AR\nsAyoM8074X7hzml1vjo550gIIdxAiiMh6pnVR1fz0taXuKrpVbx61avoNM8PGyjZuJG0ceMxRDYm\ndtFifKObeTwHu9XBuk/2sX9bJm0vi2TAAx0w+HpnZLiolUxKqXe9nURNhfmFOXuO5LY6IYRwCymO\nhKhHfsn4hac3Pk2Xhl14p987+Oh9PJ5D4bJlpE+egl+7tsQuXIghIsLjOZQVWfhx/i4yUwrpc3NL\net/YQgYviDPN1jRtKs5BDOaTF5VSid5L6fzCjeGkl6Tj46vHaqkzG15CCFFnSHEkRD2xN3cv49aN\nIzY4lnkD5xHgE+DxHPKWLiXrtdcJuPxyoufOQR/k+UNVc4+XsHxuEuXFFq5/pAttejX2eA6iTugK\nPAAM4M/b6lTF57VWuDGcPbl7ZOdICCHcRIojIeqBI4VHGL16NKG+oSwYvIBQv1CPxldKcWL2bHLn\nLyB48GCavj0dnZ/ne3uO7Mph1Qd78DHquX1iHI2bh3g8B1Fn3A20UkpZvJ1ITYT5hVFgKsAQqMPh\nUNhtDvQGOadLCCFc5bzFkaZp0cDfgGuApkA5sBtYDvyolJJ9fSG8KKs0i5EJIwFYMHgBkYGRHo2v\n7HYyX3yJgi++IOzuu4iaNg1N79neHqUUv69JZdPXB2kUE8yNo7sRFC6DF8Q57QbCgGxvJ1IT4X7h\nWBwWMDhfeq1muxRHQgjhQucsjjRN+xDnAXnfA2/ifBExAu2AocCzmqZNUkptdHeiQoi/KjQXMjJh\nJIWWQhZdv4gWoS08Gt9hsZA+8SmKV60iYuRIGk0Y7/HeHrvNwcZ/72fvpgxa9WzEoH92wsdPBi+I\n8woD9mmatp3Te45q7Shv+PMgWLOuHHAWR8ZAz/cWCiFEfXW+naMZSqndVVzfDfxX0zRfINb1aQkh\nzqfMWsaYNWM4VnyM+YPm0zmis0fj20tKSXv0Ucq2biVy8iQaPPSQR+MDmEqsrIjfxfHkAnrd0JzL\nb26FppPBC6Japno7gQsR7hcOgFkzAWCzSN+REEK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1SqmB57tWWzl3jpx3udtk50gIIVym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DAAAg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d49f208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(14, 7))\n",
"plot_tools.plot_bench(benchs[bench_name], ax[0])\n",
"plot_tools.plot_bench(benchs_rel[bench_name], ax[1], ylabel='relative time')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparison on different hardware/software setups\n",
"\n",
"Here below we compare the averaged relative times for each implementation on different machines/platforms. Small grid sizes are excluded from the nean to avoid bias caused by runtime imports and/or jit compilation."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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fgxeWNN2lTOhafULXWg6ha61Y16KRWpkBwENmNiVt30wZl9/UAFkL7zm7r6AB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cpl/T+QNKGUcQnyM9gAeAc5xtorycC3Q7fbbF1z/GJo4lfFt8ixAl8kaQR5QvZDMrZ9ADhO0kZl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\n7h3rlJoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110b66f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"benchs_rel_mean = {name: df.loc[50000:].mean()\n",
" for name, df in benchs_rel.items()}\n",
"\n",
"plot_tools.bar_plots(benchs_rel_mean, benchs_info,\n",
" yaxis_limits=(0, 3),\n",
" ylabel=\"time relative to 'pure_fortran'\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The figure below shows the absolute time of Fastscape runs using a grid of 641601 points."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1+oReaz2EXmvjei0aq5UZBDxkZlPS/k2UcQVODZE18J60+woaEuXohVvlyjEF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\n6pz/A8wP8dwtHgE8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110b9d668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"benchs_641601 = {name: df.loc[641601]\n",
" for name, df in benchs.items()}\n",
"\n",
"plot_tools.bar_plots(benchs_641601, benchs_info,\n",
" yaxis_limits=(0, 500))"
]
},
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"source": [
"## Comments"
]
},
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"Some comments on the results above:\n",
"\n",
"- The difference between pure fortran implementations ('i8' correspond to integer 64 bits) and Python implementations is higher when using a more recent of GNU compiler. It also depends on the CPU model.\n",
"- Numba is generally the fastest among the Python implementations. It is between 1.2x and 1.7x slower than pure Fortran, though. Numba uses LLVM/Clang under the hood, so the running time does not depend on GNU GCC version in that case.\n",
"- No apparent difference between Python 2.x and 3.x.\n",
"\n",
"\n",
"Here below we summarize the advantages and limitations of each Python implementation.\n",
"\n",
"### Pure Python\n",
"\n",
"Not tested. It should be way too slow.\n",
"\n",
"### Pure Numpy\n",
"\n",
"Not implemented. Requires to vectorize the code or even vectorize the problem, which is not straightforward in this case (recursive stack building). It should be possible but the code would then be (much) harder to read than loops over array elements.\n",
"\n",
"### [Numba](http://numba.pydata.org/)\n",
"\n",
"Avantages:\n",
"- Fastest Python implementation.\n",
"- Minimal code refactoring compared to pure python loops (just add a decorator).\n",
"- Possibility of generating ufuncs to allow broadcasting (e.g., a function that accepts either 1-d or 2-d elevation array), but need to figure out if it adds complexity and if we really need this.\n",
"- Compilation during runtime: data types can be inferred dynamically.\n",
"- Numba is actively maintained and constantly improved (expect better performance in the future).\n",
"\n",
"Limitations:\n",
"- Numba is still a young project compared to the other Python solutions for code speed-up.\n",
"- Compilation during runtime: (small) compilation overhead, Numba is required during runtime, although it is also possible to compile ahead of time with some limitations.\n",
"- Installation less straightforward outside conda environments. It depends on [llvmlite](https://llvmlite.readthedocs.io/en/latest/), which itself depends on the [LLVM](http://llvm.org/) compiler.\n",
"\n",
"### [Cython](http://cython.org/)\n",
"\n",
"Avantages:\n",
"- Small code refactoring compared to pure python loops (just a few static type definitions).\n",
"- Compilation ahead of time, not a runtime dependency. Fine control on compilation (flags). Possibility to import C libraries.\n",
"- Mature and well-maintained library\n",
"\n",
"Limitations:\n",
"- Apparently the slowest Python implementation (i.e., slower than numba and F2Py).\n",
"\n",
"### [F2PY](https://docs.scipy.org/doc/numpy-dev/f2py/)\n",
"\n",
"Avantages:\n",
"- Write some core routines in Fortran\n",
"\n",
"Limitations:\n",
"- Column-major order for arrays of 2+ dimensions (Not an issue for 1-d arrays).\n",
"- Array index starts at 1. May be confusing espacially in this case where some routines compute index orders.\n",
"- Somewhat old module (now included in numpy)."
]
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