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Analysis of Jun-2014 Salish Sea NEMO runtime profile tests on westgrid.ca machines
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"signature": "sha256:11396206afb32ea2fba3b4bd77633a8e99089ecb5052c8bc1e5b1b6e35bf7961"
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"nbformat": 3,
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Westgrid Runtimes vs. MPI Decomposition\n",
"\n",
"For 6h run from spin-up restart on 21Apr with all forcing and evd=3.\n",
"Tests were run on `orcinus` and `jasper`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"\n",
"from collections import OrderedDict\n",
"from datetime import timedelta\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_runtimes(system, data, ax1_ylim=None, ax2_ylim=None):\n",
" seconds = np.array(\n",
" [timedelta(minutes=int(v.split(':')[0]), seconds=int(v.split(':')[1])).total_seconds()\n",
" for v in data.values()])\n",
" cpus = np.array(\n",
" [int(k.split('x')[0]) * int(k.split('x')[1]) \n",
" for k in data.keys()])\n",
"\n",
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 4))\n",
"\n",
" ax1.plot(seconds, 'o')\n",
" if ax1_ylim is not None:\n",
" ax1.set_ylim(*ax1_ylim)\n",
" ax1.set_ylabel('Runtime [s]')\n",
" ax1.set_xlabel('MPI Decomposition [CPUs]')\n",
" ax1.set_xticks(range(len(data)))\n",
" ax1.set_xticklabels(list(data.keys()))\n",
" ax1.grid()\n",
"\n",
" ax2.plot(seconds*cpus/3600, 'o')\n",
" if ax2_ylim is not None:\n",
" ax2.set_ylim(*ax2_ylim)\n",
" ax2.set_ylabel('Total CPU Time [hr]')\n",
" ax2.set_xlabel('Number of CPUs')\n",
" ax2.set_xticks(range(len(cpus)))\n",
" ax2.set_xticklabels(['{num}\\n{shape}'.format(num=p, shape=s) for p, s in zip(cpus, data.keys())])\n",
" ax2.grid()\n",
"\n",
" fig_title = fig.suptitle('{system} MPI Decomposition Runtimes'.format(system=system))\n",
" \n",
" return ax1.get_ylim(), ax2.get_ylim()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"orcinus_data = OrderedDict([\n",
" ('6x14', '21:36'),\n",
" ('7x16', '17:46'),\n",
" ('8x18', '11:27'),\n",
" ('9x20', '9:21'),\n",
" ('10x22', '8:20'),\n",
" ('11x25', '7:19'),\n",
" ('12x27', '5:55'),\n",
" ('13x29', '6:34'),\n",
" ('14x32', '5:30'),\n",
" ('15x34', '4:48'),\n",
" ('16x36', '4:30'),\n",
"])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"jasper_data = OrderedDict([\n",
" ('6x14', '19:34'),\n",
" ('7x16', '14:16'),\n",
" ('8x18', '12:40'),\n",
" ('9x20', '9:08'),\n",
" ('10x22', '8:06'),\n",
" ('11x25', '6:05'),\n",
" ('12x27', '6:04'),\n",
" ('13x29', '5:25'),\n",
" ('14x32', '4:42'),\n",
" ('15x34', '14:31'),\n",
" ('16x36', '21:40'),\n",
"])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax1_ylim, ax2_ylim = plot_runtimes('Orcinus', orcinus_data)\n",
"ax1_ylim, ax2_ylim = plot_runtimes('Jasper', jasper_data, ax1_ylim, ax2_ylim)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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cKx/nsnaU6vmVai5IN5tz5eNc+ThX+XyXVDMzMzOzNtXfv5HVqwfYtm0rxx77bRYvns/C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\n1wX4KNxmbehapbxW0PW3Wvmq2158j2ik65S4TvNxC6WaSWW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"text": [
"<matplotlib.figure.Figure at 0x7fa4ff7da0f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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2MfXHMF5Gb++8ZP7gNQXGMA5T54ZyEXHMGNscCmyNiE2S9gduBT4APBc4IiLe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\nkiRJkpTy/3bcCD8OLfx2AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa4ff7da080>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Jasper total CPU time is >44 hr for 15x34 and 16x36 runs.\n",
"\n",
"**Summary**\n",
"\n",
"* 12x27 is the fastest decomposition on orcinus\n",
"that makes efficient use of all CPUs\n",
"* 11x27 is the fastest decomposition on jasper\n",
"that makes efficient user of all CPUS,\n",
"but it is only marginally less efficient than 12x27\n",
"\n",
"**Conclusion**\n",
"Use 12x27 decomposition on orcinus and jasper."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#west.cloud Tests in Dec-2014\n",
"\n",
"For 1 model-day nowcast runs between 4-Dec-2014 and 15-Dec-2014.\n",
"\n",
"Times are for NEMO run itself;\n",
"results gathering and deflation adds 0:14 to 0:15 to the runs."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"westcloud_data = OrderedDict([\n",
" ('4x8', '175:00'),\n",
" ('4x10', '146:00'),\n",
" ('5x11', '118:00'),\n",
" ('6x13', '88:00'),\n",
" ('7x16', '73:00'),\n",
" ('8x18', '78:00'),\n",
" ('9x20', '62:00'),\n",
" ('10x23', '50:24'),\n",
" ('11x24', '49:00'),\n",
"])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax1_ylim, ax2_ylim = plot_runtimes('West.Cloud', westcloud_data)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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pZmZjk0lj8gLghxHR0wBZXEeambWApmlMAkj6OHAKRfeeHwPvA3YHrgEOANYA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\ngiAIgiAIgrr5f3fIsPWMHr9/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa4ff7ca828>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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