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@ggirelli
Created August 17, 2021 14:59
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Speeding up ggplot2 geom_point to plot more than 1 million points.
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loading required package: ggplot2\n",
"\n",
"Warning message:\n",
"“replacing previous import ‘vctrs::data_frame’ by ‘tibble::data_frame’ when loading ‘dplyr’”\n",
"Loading required package: scattermore\n",
"\n"
]
}
],
"source": [
"require(data.table)\n",
"require(ggplot2)\n",
"require(scattermore)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"pdata = data.table(x=rnorm(1e6), y=rnorm(1e6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using default R `plot` function"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" user system elapsed \n",
" 11.481 0.048 11.530 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AtAhb8x/sezV/aU15ogjQn0gzM9G85s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vFvGQkM/1zT+98usr/tmFF6VfvBsdJuRY\nK5x8lJCcl3mhvJZFGkNQZ12SFqDruAosSKyJyOSr98/zL+DbeX0qHnpUPt40+CPylpguTYUC\nQI3ngqOYSASONkXGMf8nKE1EIrnLs+z2rOV/41Mo304efjIuK/Sgc7rMvNmCkln+nL492MWX\n/+wh11FlRmvKKNtWmtfiDVjLWdUCqw8r9LfFgm6PRo12RQ/sFQ0IVWhWXqP1ijIF4i5ZdVbX\n1N+7dt8nShWR7oqDoMTMk0E1Cj7INSqFvWu25ORzuatiE3gibpJJ7qUoywWLFnoarogm0X47\nKEgl08MOgdoOfvV1eNDR17tzOPLq80mGhvb2duTtGxJzI7dXSAl1vvQgIm1yNRBdEVzwwTnY\nL4/xTzvr1gaHITvWzPz15rcaYAVkAVR2OBjAgpBgFKDx9AmSwVdBVLdHDyMKS8WHlgaXH0wi\nTUJScJg9w9zbDmB6fk2cmHbxouYtN9TwXuA5RHpfcPq/n4sq+OAG/kgeM3uB3IrgN8zrfcHP\n9AE5Ja05VUKB52U3kLQn4mtA6hf9MiQi6XAFK7Kp2eWlASL02Qks6ilGPePNLT2I25UFpi85\nZVoY1UNJmykJeA6RTjEfKhct2hR6Uonm2F98o4Y+QKZaeTTTzBsNTY1fRkgTWXa75mEIdFrk\nMGqgEYL2jFEux8VWzOtMr+Lhhh40NogC7r3IIdwgUfGNxxyJtiXEMp+kT3ZPE/81PIdIpG2C\n7O9ch/9X6MFGbgNZYzFGASrzNSFroOvVMJNDOYwQ9XUDq+gxi1Bejz5meD8IQcA+OUjdIj2U\nKBBvYlZ6M9NLdLpWWuUTluwXWtIsMmUKxMLGYlDHfwMPItLZcn5jX3+hLTPjjidTmSRcM5vp\nHCAIHSojw01yQDS2amTFyqmsAWgakuxfCJDMO904DYqhwtLS3gdqauzDCVf/SyRzCbCvJCj/\naWKNxyPaJlVgdNEAVQdNWCRtn5wdT0nuykbhCe3eP1L00Yn78CAikaszMu0RLXcW8eQLS3BW\n/13k8ov2qAlDksh3j3kz3oGxJg5W5Ft19BbwwcAhDWh9fZxC4g1FilHFgweWJadVvoifR+kg\nqXY4p2U7jK8CKECaAuOSNcCgSooGXG9g6Lu0u8Q5vsbn7mjm38KTiPT3+NHlGl8URt40vCpm\njWJrBmvRCiSg0LeryKKQXvo6F6tephF3Mer+6OGG3KM075s5TJLYFgTYAF5xgvQkkgNG5EI5\nRfBP+P5IpnIjZrMT2/Dvkf2Lhi7aX6wa9ogQaSc4ox3e1ZC/TJy0AV0jpIM4XjLeWsyuAxBa\nE7xiyhoByij+O4CK0JRWiFR3SQ8rUCNvoNUHBWXLRI9lWe3bRlQjkU3PoPzyQyzyNfAg23LX\nzStuvo3nHn2/SSYZ4dMcxdaPRa0uFaeKPRpEOgDO8jHL/QlpiCacIdfm6xiwUcOA7oKW/+gU\nj+sk1mgBUd0elQbIac6QKffy062AsggFCcJAxfsQhKsBNLkhK8BsB50VOQbaHWd96Gr0RXjT\n4lQxDyfSd+NbtJzwI8nxUVIkSXYHQmo39gM7g0068Fkda+oi6LxAr1EamecDq/KoFIF1WCpI\n8vOD8VB98Qdnzkgs6iVsIa8zkOAYL8n9cxBnVuYbjda1YZPCkZIA+i1bnPFDnk2kZ9iUfn3K\ncwvIIrl45K0x4reEZE64ubeipvsSG8Kju6DvPkOIv13n+65HsKqh93ACYVyHWnhcd8xGB1iz\nWwVKctR1I+QbDqIChTel5QcmEnt4LnkLh54zCc6qbVXcKs5VCB5NpA2c3GTsJfZdMhYn92ob\nYqbO0K4tyHjHIXIEoAY/BQXt1nFPU/60YvNSKFSUMrA0LAUxNdhIaV+UUKt3WxTKA5g0AMzs\nCcD1yJ2jrXcSogg5x1cnyfCuoh5texWHkjnh0UQqN0wZ+6VJC/mUdj0XyOWH3uf22pYQ8hZv\n1gSGlRXk2FWl/vcdUElVCuAq2R5jfCwcMGo2QKtnELJCqM4L4+iX+0MH/fzHa1kyQJyzJdHc\nMTcUritqUW10cSiZE55MpPPwmXLxES4QA9zBAl/l/NAYNnyXjb0MzpQ+tT5DKYRS8Elv48Di\na+4CDsTysnXO0fv6+gIbqfVKQ2WweUT2wQp03cqsXCNDgJ9kNTjCu1UKvBA8mUi/OKO9ybdK\ntOqFcZWsMe33kZt9qXsuHL6UGBaGEAfebP7kZRWlBDyISvYlo0F6tieq0qxtjRECCLFa5GOM\nxoyAhkGDv2pWeqY+NDecv2YYvSTbBl6dWtoSKZN+SqxxF925Z3gyka5yW5SLTSI9RjoWHj5p\nw3ON2OXkHLvy+VEdg8qcG476BvfmVjSmYXbqklTaIE99dlau6+mvR2EXg1akVZBmRB0DiM0O\ns2iBcXyawfDlUwHZW10f7bvjzQzvCxvZdVl81U6ZfI1iTUX3ZCKR+o3lITdbLrBZrap8AreI\nO0TqBaGUrrUxz4ZNBCbt4+cQ3SBpQd0UlUIgudl5PAOniPcSVmAtFrpIVawpH18wwGf/Qd4R\nEbbEDDZRq0+Lp5DcrRO6TNj6r4q3/Wt4JJFOvLtqP12DvtI99ichZ7oYadGUr12V1CsPJv1R\n2t4bl1fLXm+9H0bqalSqQTvwCJC4NiUIIR8GQV3w1WgYWsmmQ++yN8nNzFb6NoHDOMo4PoR5\nz339LAIeSKQ/WiCdL4S+L13+L4yLjWGjqM/hxoog5/PxVf/SzqoIDGbKAzeY6aTB0jZUPSIq\nlXCkuM7NnZvcpIqSKDX2dED69ocBI++5t/bX9d4Pb0MIs/oKOTaUbRxRvEuRE55HpCtJZXfn\nkNNDuQ+kLzd3LFr88S1yZlAUo9M6jw+mVnqfzwSzBdtYsCwo62U0AquadKUUnMKgCAEQTyfE\nl1MR5mHzKMiEuQt8enP0WKP6DzMcNzCWS1WTJ3xcdUaLF55HpFm+Sh3WgVF5M8/PgfGLdj6F\n2Ynyt9YdX2QsEJBA+2OzBgCLnAWGkWrglT7YQPaBI6Y1BoaWsqELlAU1jxa9INU69bQdWnxw\nMmc5v+w0aF6WpX+O021yRzX/Dp5HpDRn4McJV8tPQqpnXZNsu6AmeJf0ZR+3uQHoQxsvqiSX\nzk8CE5WIUCHqgWqEinsHk8+OUGJSeNo1aWWsdI39pY+AyV8inJrtJ84lc1nHAkUZgnGRrYbd\nhecRyd/VusPgKiBzSGlH/QEX1PDa0eesnVZJ29HnBxgQZ5HmMoOSlxyF1WzY0gncSiKRQLtn\nY+B6CggRMoijh0jarxZ419fyGSNW/kbe1oZWqEWV4Os6EuHKvOSWdhYJzyNS9CJlvO4qhpLX\nl+CTQOm926Yd4Jiy4sqcNORvhpDP+wNDC39jP1eV77AHqBQq/j3yCkrTC2fuGEp+1wA6A+iN\nurhyseTmaAw8a2zetSweOziJm0nIx5oUaL1nvDjSLfUsCp5HpK7ZyrhBcDXxWOPrvJgft+tI\n7tkKRrBUFBwcrTcjHiBVwVeSAh/gFI/qdiiF4KXtLe4HwFUKMNLvNHnWNvRqlk2rT9UCEzri\nIDkstNNUHG4LxX6Smb8F73ZLP4uA5xHpa242Hb4PyGs7th/9olx0aEXIj4FitsG7pjCECdaV\nAS0uV0V2nSJBD1AB1CPZ0ghZZpyAOPByya8mgrSGeosPtF27zhBOKxe/rknODAYhUo5nqNvb\nLf0sAp5HJLJarDRqejtNo7xA1dyybWQH3h5uI8mpUDd2YSc06WmdXrSJSPadcui2OJxJR+rC\n9PBDERGts+oUljbYCkjDACMJVIjIREzCZF4nyf2Z0J4hVwn5YWCGw7BIifweX809Bb0THkgk\ncnhE7dQu6/Mdu31hzH7v+L5WDINCWzEnGvT9ReTirGYe+CFpCc840NCyDC0iLYvFRz2ZLU1g\n8jZKQX7lMGK5GlxEzbOv+kHfHBIEBydZswj56yX4UfeGolfRTo14MssN/SoSnkikO/F9I9r4\nqM4Hnz3n4H9baTi61Ww1CrRecQsDMIINUGKg6rIrdZDnPFfvA1oagLZC8Gs46NyMFNA+c6Uy\n/FCLee1kc4wAe42Q9WAX4+zal6nY/Tlre6Q3eapYOvk9GkQi5NY8cS8dJ+la5NQM2XTsmUgN\nYpu0qVvH7M2DDnmzg0HaJDEtjE4h8Q9KO1TcD1ikOPEYMJh8bCEtQcc4goQGTPQbfpW2jnds\nN1rktsM5Sc3kokIvswfocDlb23bioHjT5mJQsEeASAfXLNh2mdTsJ39Zr2P+uNxfwDqwbHk9\ny6Yp/2RYADowUmipUcPtSiPkTS6rBNrNstD9bkPEtFwEe4bRTiP0rJ2VzL9oTYiSVn7AXnHJ\nJ+u6MfPlb93CaGJSzijdL+5rmccT6WRt8I3lvVY75PIN5C8vtIOQi59Opx3kKZ4JqMwhxt9b\n8TGoZCp1kEw6LxyEnC0PAqUPQdRbyM9R+GlkYDguGJt2ZKI6ZqVXyYleYciWvV2+/g0rKbK5\nycPc1zNPJ9LlMmkHCbkylTUp3cbIGmjx7c2jzxrpAvXXjzdIzVjGWa1BddSVTtBdEkuJJOjk\njS4n2ei16gtZyYYkGorHN+IyuSkYTrlUIs+bu8HkdEhNTHNf0TydSDMClGPZ8YLzWGkXipDe\nrtfsHDIvEAFfw0cyr4MqB3GFxaPSqnQAISQCxkqpT73sxZNIFTh8VQsqwWDwAsDen5FMuHCH\nbrzkSqx5Nt59RfNwIh0ISRq8gibGnkEaOeDuWgI99RafvPlrJIi+yJEpvXaUwKdoboebPEi1\nUHFvQLEc6Gk5fUaikcQiR5YkP31n0DRTolgFGHgmvmx5Qmpp7lSOD/nzR76k69OAeu5rmkcT\nKXc44is3tvvToG9runnGnoOrQ0HTckYXK84OAWnDeXY4h6CRnR3no9KnVALJkcayRYdopBdj\nTqkIRjMGIy8gvmxYdcD7t+IU8oUQead6XNAJ0i/qH/7dusR9XfNoIk03fpA4m1ztYT5JrnNb\n5kYisOJA+i9fyQJtuQ37r0uTEYCfYZR6iFRKoaQ2Y9rkhUU0t9zWmJYuFqWliBUhSy6/2gOS\ne2l8BtyhHTeq25jhx7fXMkVUuuG+rnkyka4al5L+6YTklB9CXhcvEnLp9ynw4sxZH1wnfyIE\nNvBaSI5Kb5qtCEI+4VgfjE6ouF9E6Ch1jBKLpAUKs1gOGsJaHptSaYKSP3g3HMR8fYd6LLAd\ne9WBQwzI8WcxKJsnE2knc4kc0dTqXC8z7EuHcrRdEWmTy4vBO4cAM4D8OU/bqEx+iWDZwPNV\nzbzSBFeZaRFc+1vRAhX5rNUQxLBQVfqOl3Vj5t6pHpXGSHPt7uVvvYuKI7TBk4m00UzIbgs2\nJTkAtZZX772Ylf7hC300mBOSSe7hFDDkvX459l5FKQMN9KJRKIECiLIcGQ0trPZJQNhMQO17\ngYkmQNuyi6qpal2vjLeYj4pB2TyZSLvx+T9sPY5Pbx1pc/SUvh8Y520AuRhTlIUz8tXknjo4\nb3+kFlstVaDCwnmXnF0ZFaNCO4mmmwNTOdAPh2nR6SLVw2eNMl5FxdHexYOJdHAoH5YceJOQ\na9Fjt+GTZApTEWcBelZ6lIWAMUNGTCZ9+wqT1JiG0g6ZQmycBTQRPPJGTmce27Mn+2aR+lG3\nhzK+w593X9k8mEjPcVXqMgYcU7VxGd+zubZXV/MbjsJPfRHqtP5ZC2Q2QJHhNNnfC3xND1YB\nVLiFfGaEDoCX2GOMDwJpgwQcQshxiKQYV1J9eC3Lpkuelq+bwtvcVjqcjk7LsPhlr3dT3TyW\nSDuZZYRIdjIyMoJlB4l6vsyT5AL6NPcpRlr+Mfxhb1sticFFSENFaQM9j02SPXVKBXdmQhKj\n56jRkQTdyXIGORI7fNJbfPz1dyb6VswX4DCS6/nKG0/5GGxj1q/uK/Rxr26kxxKpQXvpo5O2\nSj3dlhqm1MQAACAASURBVOv9zce0r9DqXMmDyOUG8isPA0tlWrEJ15YmMvUYqdTi9gyIaFk7\n6IkwQ2OE9Ch7IKq7EdkfQ7xmyfxmmNt95fx387vZ6ty8rSNv1wswpmUGHafXuzWr3NI3jyWS\n5XVCjqGR1m/gW3Irrp5xP5wk5C12aaY/HJ3P2AAqDHE4w4KQTRkejCqocA93NoijdkabnnV/\nc3DSlcPI0uJbZZBk64GtaTzEfFdAT64ZnQQamu6WvnkskWjF4jX2G8mJ8Cm5WRcvusDQvImF\nDJPOxYhpoEG00CqnzGgqhTwIxv6itwBRU6L1SuVc1shE9T/OcgndDYMj436GqoEFwle/hd+V\ni3eLiMa7B3gskcLnzGvg0Az8vCo4krRCECE1WtPbFbJ8wmZ1NdoPgLkTYGPBZUglVKnF7ZaL\nltYQJAAOR3jCXj+HFmyvfbS4rBF1CxDXkAtxXeDj0Kn59eRLOPf968s/u0G2sTnu6JvHEqmv\n6D14AFdJW7Xs6tmbuzYhZK9mwHlC7FUsh48yXTJy+QyWwdLr1441KGnldyRSqChVcM2CnOtD\nV14fw2AMWwm5YeRam/Q3CNkoMmdHFih8cp6tAF5hKPj9mTFu6ZvHEqmmUPnAZcvEZHiTkF/N\nK6Q7HwZzcVHgt48sCXo25jreEa3k+XNysKMz9lFFqQbHAOb8AbrKhdxZYGrGAyQfJjksEoND\nJR04CdXJ/IT8enJOZ/qKkD+Hcl6T3NI3TyXSd/BeTbCYwR45inwam07bjpEbHy18LrMtIZPT\nD6Bn2ThleyRaIx+s8FUUB5T1iGegnt15Q7quJeiQBgT8+HXOm9EL3//2TkV4n4wo0Dt2TIhP\nxgd/nlxr0l5xS+E8lUgvBRByeP2q8VastaA25/Luf8i8OiOey4pgUH8/OdxRddZ5CCKUpExW\nopNkY3DgdUJICsSD3gHH8/Y+IUzoQOkhX1lz5Urw9PyKEjvrWDPpN9qOcNgthfNUIi12WryX\neoauP5r/wQjQVkHxDDAWO6vMYxipUXYeBcwB9gmDQ+mggTqj2SA5eXYZmaR//mxcj9N1gy/m\n1wfjJokEX/5wKwd/6JbCeSqR3tNcUi46tC1wPze1fPNorZDmrWWq24CbIyLMb12svH+1r0vp\nh48zxM53HmiMyCbNktodJz70Tdd5zfykC+YMqZrEHwoohL+zxcufsM8thfNUIl11TJDHQ+LG\nAvd3MscJudaBFoDEPkG8CKyj+zotUjlU+iFbFUMFAUsL0fQn83Uh42pYuB2zohnwq9Vn8ju3\nCipK6ybK+KLpulsK56lEIuvYkcfIX+v8GucSsrldUlL79+XbM8vTz9nIS6vrHqWrmwQGPz1n\nAmx+YPJXURzAzn7amMUMj5iYk9LMqKMbYDGUboQHrW4Zn9xlbxF6spedJw+2ie7pmwcSKffd\nYQ16Pv/XW2GgR5ph10huX67dvLltuf40KnFC5oUlAxqjhjFpFnI5Dn+C4/wb9TdqTMGKPJRp\nTPWDl14gJlTa9NLcmOAnWQhtCoPPHdoG/vruC6bVY4vIkyUvi8lDxzViu94q4tk9wPOIdLk+\nX29IW5/gL2/9uGYP/Wee19MqQgfH8o+fJefHGb18m0XoGT4YfUG+AV40I/kEj7ntb1AdD6UK\nedVxGR/AgWBB7RorQeAa8Max34A+5ynJ2qtKOzCvYXbc1pM/n0yzJ3b7lpAjYxpW77fVXZX1\nPCJ1DKe7yStt7A2sYMqWOBT9NCFnGoFZi9hA2gK70ankGRtYcNgWLucUS1qJLlEJVBqBIE4R\nnd1A41QgJZtWjJRPNob9BtF6uYSA9ITpLRkk7RrnqcmRoKhJr8+vJa4rBnWl8DgiHUG75PEt\nFLfuyzfas6vOwT5ys2Kkt389YCGYNl1G5nEva8WGWmAx9TLUFTRq74nSC6ebyBnhhduHIpFF\n4dJX1PMc7HlJvgmQYWJXELLKx6UmuRWz5QPYKdpjhJx6qk58s3mX3VJZd4m04s5KsMUAN4i0\nLEAeLjrKN6TjM7r98OWx5WavTtcOQvo46e2OpUffuqHwDVnkQ99y3bpqExdPgJnN67kYcZrU\nBCsLDLKlAATs2oIcsVEompA3jS412YWPyWNu4niy215mxPwBPmWOu6Oy7hIJxGZr3YutKApu\nEGlOOXl4xTYug445kS3psmMJukFWwgej6ArE+WtRgxz00VI2XjN8AAitOMRTEWgfqB6ouF9Q\n2TEF79TuYwTEog4x9Nv3ZBsMOxvkg26SqUkuNXk27vzW59/5jZAhDc47etJkv/NV093JkXWX\nSAurYtB3eLsYSlXmhxtEes0qu19GZXdpc3n3yu3nYtiy8YeitcKw6hw0N0umdKuBjSASdQQT\n8GyZyePguXx7I9VdVzqRV7KdZaVdrwVBYliidCtMnhunDtJb25Bn9HDlz8C8wNSZ/no+Ws/1\nv/pErfkBSiGHX5iP3VBZ9/dIvy2QuGTtud2tbI5CcINIZzUv02FkdWNnCw7gOFTnuKNiskPL\nBJugmjR1GTsGWLFSWDUmTqj9DK3Qyat+hlKPaAAbQGxMdDRMaYUxWs67/Eio4kt7tB2XI+2H\nSYmXXGrSBr1wg+RuDmhZv0+bFs6YofIz3FDZYnE2/LYgE4PvwE/d+P+jINzx2k3TvSxxeiIb\npFl4mdzIQJHllDeddtgeBaAxtP09gQ0AZmn32mS3nk5kZlBaUfg9OC1QcV9ABQa5VHE2lWUc\nmPVDROSN4kZn0AftT+wpR/3k7c64lOQ4b5IjX75hUTnpZ7Fyunm18W6obPF47b58KpT+p0QV\nly/RrQPZaRpTSiDwjPxyAhlo8sXl16RFP7Z1VUBadmeUgAUES8m46v8TfPP36FOXpdIJV1lI\nzasG6SptFIPkJDPw1sidZRksWqy73uLR+rO3deT5oPXsgAM3f1nIoLbNqn8+VhhPSK7vcjdU\n1n0i3dw+MBjAt/cH+4bo0ef//OsLJ379RyvQvRChP96c+fLB/qjNu4e29ERCxCBC3pToYkuk\nBp3u+U5slRSwE/KGLspSIdiubotKN+QOzBpkxSAQX2m+/KmKdlQQvS+OgG6jMApAjOIgL5C3\n92QN8kG8dNMmRJKPmb3kLbyfLNee+juN+hdwl0jrOloAwoftkh0eX8Cof/jpN52oy5nxb/u/\nu/5ZMcTajU2ppQUhoywTa0nuWg6vBhCNtOSMpdK4sTqoSchRI7DN/SMcgJi7CUrFQw/MIU7k\nARpLxnlMHz18Tuus8bR3kpEHAVAQ4wA8qIB2zKAhl6d2HnmDbUdIZ/trV6v2my3McUff3HZ/\nQ9JTX7m+XPCaefdf9kfgm1qvXqUAgB53+7tiINK0ZJJz8hYpC/byM+oBVPXPXNVDZH3LVLUa\n00KQNSiSt4GhHPUzGJx9fFWUajg9d4JPsAH5AKvHzrNappyRjTT3Lqgdu5gj8jiJe4GQG09o\nGR3YX3BL39wl0qwj9/DDhZD9hXJ1oDU8c5c/LAYifczSnu8rOStUf+tpLXCdmpBLxiSIX717\nbLT0hhMZI8p7/cqV08hTbb1SBtljhDR5La5EEPWCwfVVYDgmammFwjN8tVRaWf9KWV6OZ7j4\nSf2q1+5QoXtCiYYIpUfnlbnMzahc6GHuJ1vyMNB9IuWmZ5wjJLEttlQ2Ii4Wmfpc/6MlCC0c\nlDJOY+52jJ3aO7ZUQu7oYhILnwR6jwYqZT2TGoyQGXBLK3am713a/fIOuWT+qfLmTk/3CvTm\nnI688k+6qW8lSiRj59vXT5gKPTxSILfO/SL6J+O8H5sKAWy162Sj9lMarSq/aEF691wzZ9pX\ny/mu/718pW//O7mr+E9AFx+X1GKaBGP8vJGl3czZCKpSBrBJu2XjXGkOz51twv6s5kk6nV9f\n0a1K23lnY9rK5/eLhHuxrIpCya5IMbeTPqoXXpHyo1jaulxd3DoJBu72SXhmnTYCnmuvH7vL\n/EQS9JvP1bJM1EK/1Ug+w5M+Y/0luw4jTgN6USVSKYMSrUrLnsimReVBqYjh1kkTJ8dzy0WA\nYEBRbHdsqnaFTNA9f5lcf9Wr120l2W+ttGTnq23ZZe5qW4kSaSHUdbby/L4d3O0YuZiaMZMc\nw+vk1NDyegdiN7F7PotLv9k51n8l7uVzEUF3G+Oq940TsDO8Ib7yg9MIFfcOV99LCZwoaFyT\n4NbPoYds4FiM9A+CTZKMNT1/4ZTeLbvwntsqcqxnOPZpuMttVSvZNIreAIFVGjXODAXocrcI\nweIiEumSKkcB3ozkscGKWv95s1oXsTP4hq+Q3rFvBFRX3rucpqwIwb9E9UCF20DOIgFMSCs2\nz5iYvQHKzwJTRT9vPUIOX58lP2a1jkVPhDu1IrPgKc3NwlpzPyjhfKT9bb3of7Rv27u37Sw2\nIh33rf1Vbu439e3fJjZc9/OpBrKnGxnsvLQWVWHkDrJQVweCdJ9TmlKoKF3Ic7JieQ40C/IN\n2iBBRN4+gYAZpJP2P2ELj4NffadW9Gp7V6W5L5R8Yt+5Y7/9x5EN+XG4Ouj0kHGI1HyC/O6N\nUuohzCKE8B3F8xmMkkpUA1QULxBtph3Hiwki7cgci8CgkUgEmeAYTshG7ugZgBSnUrTuWUza\nlQ8elyF7B469+w6tEDkyhbTG3fLKEztDg3V04A0PSPYq/gvQA8Fatd/RIivtPsbbDK/dWGEY\nSz7gGe5XWSMu2ZcXm3blwfOJ5MQRYSZvF/tmIY6VW/a54oJ4yRyQ3rygFrbzEMgOpNb4l2ES\niwR5wvTm9VNzr6c3x9E1aD73tTbBxZ+K+ugQiaziQFdtAuJ/aiXRyJva1iajETtcbSiQ2pK5\ntCK/me6tBKh408N2Hy6ae+nHx4Ebe/DM5nT/NeyX0b59Zw8MtTSp3HLG2X/WmHuCBxHpmyVj\nl8nlaG8WPeG8J609MTizPW8Ew0hGIRJUoQH3eRtWNSWpNCK/McFYhAAA8RQEvKPBb/7Zjmm3\nuBNt28O1OpjQnlye37JcvSBDx4l9wnw+c0tD74DHEOmv1igiKwT3vLa4LI/DR1w8eaiwV/OW\nCNefiWQMUwyYW46ggMPBGW+nxtmVJhR1dI5CaNRQwLOw+38ocb1Ox1t8NCLTbtbi2lrrZLnJ\nZYOk36TPG90c5+5UIjfgMUSqH0mLoO/wCzVO2PbpPCtNMQ5YWvBPWsLs+QkGyxzgTXIpzjtl\nomZUlEK4+BR4+wZv1Z5NCq6BxCapJi4RVaqtA21yuwjD64R8Dd/IynA9ZFZxaGoePIVI2/jv\n5XEMbJTWnnoWDLwZgW39n7f/5NJSBA6MfOWEShN2bksZ5dVr1MWotEKnFP2mjSgUIcrB4L7l\n2rK+F8jsct+F67xXCLSVQs5U7nOyKMqpDn2bFoem5sFTiDSktjJW8p5OyBKjyHG/dsQMYJ0z\nEinn2XCJNPJOlJY+saFwybRmXbac5kEpgYpigrQNYmVh8ml+iIq4Ui0jtDpHurQgWwGCnBXy\nmzch0ys6NWZMzeLQ1Dx4CpHaO8/YdKmDCckoh9ZBasQn+xD0000lxweUD7YLPvEfrjQCD9jB\neFFbGqbpQl1iEPL69qkLU2mF2SF92CGSMSGDphbgiqGgC3hbs/5mW8mK/1HRjtfNZLWXM3C6\nVddiU1cKTyHSgEbKqI2WJh9vu+UiCD/RHrwNVoltEDJIVh4sP5bOstKaJLBGEYM/P61iO/lE\nCUBtf+kBwHilEgAGjlclSwSCEBL1OHlKoj0Cwbfr5rz5u7SFRrfO6pRA7x/FTcWqsp5CpI06\n2SVD4pH03+OnL/MBbkbIDSwm3+L58N9JtQzGoQnPOKxHh3jUcYovQkbuGYs3wp0g4EFrgAr3\nQY/UkQUBB8gXvWcB3ZSoBKCZFaaKw3/VBgDWmzCK2bDCh5A54sKrJHdrSD136qreCU8h0q3k\ndOrV/NmPO0xIPYM92ecJQrawuM4bmPY09F2dwgXoLhwEdltd6t1B4M3ESIYA+LlKdMqf6spU\nSiGAXA5Kb4UfiF8lhNM6tSKLeagTHjvslfaQygfyFVs3FBhHd0lHFpi5CD3Ty72a+XfAU4hE\nTqZosx+ryVfP9prz+QLJcmvQm5xLLI+WdhJpKq7fqoGcjz/5CtjtSVP0iwa7NkV57m618Hdp\nBwbeyLEgJiAmAdUWN5JbaQgQr0GQzGUBUy6Bl+wQ2enw10dL3/m1uFXWY4hEbr0xst0T7+Xe\nnB6GQASukdfkoADGcT0FgqWH2X22IEMQucCid9HXUS+QZq5G5vnXIMGZZamiFEH2DjHyhChZ\nFWErsEkSqsC0kITeDdMnCNhyKM5LnxKHISWKfD0su2Yx1gTOg+cQ6TYunibPMHJbUe8jxwx+\novRvvS5+rsUh5IrN5Nclx7zutBeKW1ulTIpVB0gSQpkYlEcslUmlCzKRfOVu2pRN2CnAuoQc\nZ1gjHvTqiU8RB/suvzN93jZrGExiq44ak82MLDZVdcETiURxa0oyK6aNaqELC/V5ipDcbhqJ\nKQ49Cz7vrGKXRvqgbeRZ2oVAyxlTIZ/XW+VR6YMFTNI8qGEhSpYej1HTQGh8fqUOxPFUF0IB\nvpOVIlyyVF6jF1u0L7qpX3fAU4kk4eKCzrX6rDtty2ZHnSQ/27FkRJef+2Fzad7SDmgCF8gF\nR/ebRAuPxwLkLwGuorQhb/Lj6HLE017mNKVPAGae7JnLBn4tHY9gYPoquvF0hPv6VRAeTCQn\nPvbyl89hH7u4J9zSoGsqavrdLdIPzhLyqXf0MA4EFFGUUFSUGqC8D9CBYEUonNYzEFmmnaIB\n7UBb9iohvyXHY+RsuvwN/F5sCqbA84lETk9qnFR1DC0EeG3VsA6T5Qoyu2EafTIxQ5LAGydU\n9pRyhNIYIQbrFUEa5+wejyDkEJMoy/+MjROxvUNTQ6yXSI9CKE7AD8WnYDIeASJJONItgglt\n882OlpHe1WbJtWlj2Nelz612BqzbKinSsKkdXkod8jok0TYuM5goAH8GaiMUJN3b3hFoOe8j\nqTEM1zGYps2gjeY1ikJsZ4s7c/SRINInxowXti+vx+K2L6wd45NME1HOOEAXY0JsFyugGEUe\n4oPUCBX3gwITHi/HqPBxLFsXdWWADb8VjHxqxDOVoupOYyt0rR+seYV0TZOz1D4LMkU2WV6c\nPSYfCSJdCexFN507kZYWTv8jtiO9eW1UGKdLXUWCELIUKRcVpQjo9gVGQIuB44rsul8rM4Ep\nCWyd8+TQ5DadZp4g5Ftz4pKTZAJih73Q11irOEs3PApEWmuUW4c2yvTqR4tfbGX/oF9zNjcJ\n96n4eIDf+zVA5ZDHQK69SgNXwvU8Dm88qtvkfCUUZ+h5DTU9AuhG+Wjw48WoZI8CkeTMk+vD\nEGfA+im55BZHXTeH5BwK5I2ZA7RGl0M17Eo3kkTXmbq+SWUb8jNAdJlPni/rm9+pMEm37CY5\n8CTvrRh168Vi1LJHgUgj6kofnR22ld3arzCMIUT7DiGntYDio7ANNFirdjUv3ZClZxRAoH2Y\n5WAhzPkC6l+XnP0yu9JtPfhVkE9jiQ/7njxeQe6X/M6DRxHp2tFbRd1e5nuL7GI+rzYsaRLZ\nxP70PXV9VkSwl5DDyd5qeJ0HQa5iRy9oML9/41AaNrQmTw9e9FMyJ2wpSv++XHbr/WhZ0fAg\nIm0ox4BY+4s7H5w1zSTDq5MXtDTFInJe6xRCfkbgkJ5sHcKpgd+lF64CNtSoi2asoLEjjPwk\nNmWMjSonrUtJq059pOXy9kgTMqWPq4QkV24gfz8IP92nfhYBzyHSNHb4xz+/10LYcuejVUzf\nWp33jUDmNb9fqRyl30fIC1iIJhfrctVDZEkMaqouS6UcqL8OkjpxgGnFwqajGIwgoRm7lITU\nCL3hVIM5Cb/2CkXmrB7a5vL3dhXvVJX7hscQ6QCzTh4H+xfh1NySTM3nNcNoqe8Q2qJpoiiK\n+2KNLWbXdpbQV4lU2oF08ASCrE0czgCjgWcqlLeQ57mdeAu/zakFe5GtwpJdG3uzjM/7V3IO\nttd+7oaKFobHEGlkujJe0r1Z1OMXzCelz5vfvcnJr3WxAXQIWnSKlKYvI5TRFYhZVUlVGiF7\nGbQXySDwRxpp55v0mKREGTGxOWUWOXUg12Q6IQ1Xq0A9FouQXJw88hwiNRrivEidVtTjq2HN\n6Er1Z0YlecP5A8KA7L+Q1QBmo1kTFSj3IVXLQ5ZWKBUKWbRxZFkeMNaz7/ZnkpijmyOZPSTy\nBacO7ENlje2f6hkYmN77wu73jt+XZv4tPIZITQY5L1KK7qn5bXDAY5O6ecVLc9LVzTPmZGPk\nTAEzBwr1WugRYLXwd6kDf/sSy73FfMLGPsmyKFpLjqWwAEJMIjmGXVW+lwfffKVH1XbzLkxK\nv0+9vAs8hkhjyyvjOXFz0X9wcW7r9A4vXCX7sjlkCuSdxb55K9ByM85epOqSVPrAg4XXYOh3\nc6ZShloj+79p71hqrws1ohNd5YJeDHNeTK1UtIq4A48h0mH+eTrkdom4fte/W8zg6osHWiX2\nVEHN19360dXvUt0YlVLQyoR6gNkXKxkQZNRjRcZPWp2wheb20ThKRnz61U/lGLFdjDMJqWnx\n1oaU4TFEIkuYzus/fbmq8e7tOj5nYmjM6q8hoK3YyrHt5HZ/SRSshtYsVss1lDrkk5i5fsTP\nLMa00FpzBwgYoy2Z0m3Oy6wBG9ZnN4hvOCWqk7w4fcTsuC+tvCs8h0hkR7YFAjocufsfdaiL\n6X/wUi2IGHm5WmBip9dObdtXepC/d7YsxZq5NlMrAK1EIj56Nz1m58Wxi23Qs0nTL2y4/Pwh\noQ5t3XeP7pmgGXxfSnl3eBCRJBQu+pdzR0Jx9FNw8uJToUBb9s1BxmZ0GUoZCnGDDMrslvAg\ndEKFW6CSi20NqJcW+adBHXFbI41XbhzLwfHq437i+KRXbdFNNuOvyNWmIfU1gMosuy/d+gd4\nFpEKYns1LRjr7y9wL2gBfODNUK+CZEE7OBAipOU/vgp4l4tlqLMBs/mko+IhRpDLMyR3GGGf\nBxGxfuJHsF5L6jF4ZwJuAlfSJ82OCUBrGcM5kjqekHPGtTk/F39TVRkeTKSlTI/3vt3UVHgv\n/81qI+LN+DH2xCDp7aMEmS2cN9KDizm+LHAPRC9U3CNwgaku7B2sQSyHotnWZeZr9MlTU/A8\n+J/47sDaCBsAxc7r3FmSfv3/wqhT4LlE+kVcLI8jHPn/rcWWbAhuagrVyXTRc02Aka8YWvJW\nrclVKoD+5ivGYhRNK/MdbwrrpYNe5cNiboy0apA9vMZUi18fSfpte7mtVn8HzyXSlFjl/OCa\nxRlIL/cM/VqDENZQ005hTWi22SWH8oJRkUcJ6IKK/wAGPx9uFseEvbB3GsLlAyQ7I3tmCPiB\nV6ewE/sQdXmXneK2Wv0dSjuRrq8b3XPWgaKetO/hvKjxpPTxf/auA7yKYgufmS13b2/JTe+9\nkwQCJAFC7y10kN57l15EUBBFQAEpgkoXBKWICqKIz4IUFRs2REVAunRS5s3sbnpokgQk9//e\nu7t3dxPDnvPPnDlzyuF0O5jq7r3s19hDCQXSJ7ASghD+sUeOHDxaez1ALXDifqAJVU9wK9zH\nDziUGK3DPja5HoeAqbxdjAmE7OC+J+TghJYdZ/5ZImpaQBH/c0QqENz9Tai5bqcKaEgxBWEe\ny0+kXVLjDV++1YXr7HmlLf6wLTUA2nDAyctUOfAbuUYJSrVVZ3DDfwWCLC+ldA0KZ5IzciJ4\nSu/cWGSYQkh2e8szn6xsSZ9rMycJCVrp8jLT44SMxamDe0fo15Wgtsr4jxHp9+5+YK2Tm9h4\n3jP9Aj18YJtU9NGnqWn31xVCrlnWksseyipzPteZrMHDWrNooLqg5ah9zfYbeABzB4Nqbevy\nmeDO3rIPNeSYIKwukjACFMCMDVfRMItZ9VnzghEYwfvJ5tFNGlCrHZno5YX69+it7NnC/hJW\n2f8Wkb6yVV3x6aZe3Dz1+4wgJR5oveZ8kWd/lypZAYe/NNr9EllvVuaxbF1tct0D+YgIeWBU\n47jIQrUQuCcpcgFez/L9H6BqOHEvkLcxOLVYADKCP/bUNAXztos5OnDpr0uor3x2pRm8S0fV\nLM9nlTvp6SWlqyr+U0TKjGkrF2VYxaurorRxyvGmoWhD0CMmVHPx6k489y4hk2qpF4MCGRvl\n/h/6J7Vz6ZQTyHqfR6mh4BLGzknoYUdeYyutcp478u37hIMIvffcfFqQjX16VPSvP/ewGVj6\n0Q/wu3J9rUtJ6Gk+/KeItJc7oZxUU/cDYuardwJWFHm4esP3a+nBUk14k5CJtdWLNQX6G07X\npq++3qlrdamZrdEg4Bzgy7aU/Ci9zC84d2L/SzDlO+cPt9aBkDSwRX41kJC+7bRORr4mfEu/\nfQ7qEnsXf58qWhj/KSItiFRP5Ep1FLUfV443WIWtgvgJ6KyVfZqQHs0IWWO7rlyN8qlA3+eX\nzK+gxczdLfcAcehF1TwIbOHsJvtfQXHbFBjcpkytkU8NfkCVh3gBDvKKt948se3FVaDaMkt8\nS0BN8+M/RaQXotWTHFNtto8SXfeq/p/Cz24xqSdLgwn5x6HYgEukg41xUDUHNvIGF1kQxomP\nyRKg1NJJDjtX1cAMBdTSWVroIYZUYJgT5GFPvlSlH9Kf7NohnxoMjhK2knNXyeswYKhgiNTi\nirKD92biwBJQ0/z4TxFpl3hOOamnvoZLAfVYWOpmQ9H08q0G9WRxKP3YLrbZ/sPOftxLdIm0\ndNq6X7spojAi4APktokGHfCGrySLYirweh/nlPTfAAafYB9JJpKW7a13GqVdQAV+ZlQFjX/6\nJ6TyU9O49Ode6qUXUz22Z5OsiVDlMiHHm7uVdDfm/xSRbgYpLpgdeJ965ecEqVITf35SdpFn\nj4IardpZ9s/sr6sFTUpeqa4kZtTRl+8NGmWxypvBa60+WO1XJd5Odk48ZHBEWBBryIwxAm+9\n3wZaDQAAIABJREFUoJlBfvGJeO7tV9rhlrbqL7/XNSG89Vp3rLRGegLEuGCOGfgli/8Ukche\nXbMdRz+doJmQeyVr16xRy34r7tm6afK66COepZ5f7CMCBzXU15d1bgFoz9XgpDjE8ZRPGITG\nX38KYZRRdlccnl9GzonpIcUTDuXIVrs9mZjiQgSO9aJodnqN/pnkutfoCnksQiY3hxtL4zuL\n1VIEJKz//CWfFR147xf/LSKRw420gKPX3M3v+M0nbtm+dx+XhtLzq5XCtpy/sa+5mS01t6Vq\n6XQkUXuOeRjkxP7VLjrODBaDpvb7urzmVU48rKCyWUdHPU2+HtoaMPAigio1qIRfkRDL73yS\nR4IRDNVNdKAdqe+p6kXTEbfSmPvCf4xIhGT+drddbf7u7wfayjLpZnmwzkgku1kaPedbmX1l\nk5rFB9F5KoDFmTCRICOKQTzo9PLe7APUEyduj+LGOOQrdA6Pg141qJxvSqwe9RXec//UGo0s\ngt+AHwcIjVurapHyxH0o5q3xnyPSPeGKWlS/wnTleAAd/4pbbu93gE5EHn50GGsMiPcQkdXg\nTZlkrs4LnCom7OyD+TAjX/9lOhSy3AmsH2jCOh78mD/Kw0E/JsKP5Knka6MF+mDk7tXWC7IK\n/C68X6yq3C8ebSLlwKgEPhx+Fc0dkDYjJKMTxho0EThJZK1F3cEWyVnAnyWAyS3OkUMNXdU/\nGDVx4i7AaOSihjVoEfhbkb8RrZJ8kjNJtomjdKrKE9KqGyEXRD217W6ENmE6dSYlueTXRwyP\nGJE2NvC2py0s0tzFlTXG+bMOeIEgtGg0gnh6grtkAD6NycNChzMjD+axswCW0KnKgnMr3CFn\nuuxDCZR3DKGysl2PY98EHgz1jptfI+9yvoMIiYLTn/Js+nF4MR04EuzeY2pna1xJ+71VPFJE\nyu4r9V+1YYyNuWwKoFEPQi6HVR6bgru44fAnibYRD8YUxT7gLb4AYrC/YXqQWWuCeHD4gmSm\nK1mk+MCdW7MPGfIlulD7OxKgNSi7fjodcKNJr1Zfeg7cren4v+q6RiaWEXuTbyorweVFXWr0\nXHH7qof/Ho8UkV7TfcYOv3mPLXTjHX7LT6Pc3L2NldsLkrYzCXzMlcvdDnePApM20RMD0gBC\nRlZw0EaHN8YjZ7LsQwj3Qt81M8HCYRRiwXN2uaCWVUy4ww3yRTUmu7YZhPydCl/et0LeGY8U\nkZLU0LtXrDcL3jhfkb1xi6XWVfIutah/GxJr0SsjG0oeT+cjzxgexH28KTJvtJPDwTmJmeFO\nd8NDBDmCq/BFK7gHuGlrVyN/QfvwwL1U4hlPGFidKFPNBFFseZ/aeFd4lIiULbynnPwBPxa4\ncT46alozjI0OFk80CGxe880CZQhiLSg4mTICeFsxSwMrKKVggFpKHqaTTQ8dkLILSP/nQinT\nC6zz8YVMtDtU9tB2cXn17P9cTCg8RmhQuNphqeBRIlIGVkvRnoaCVRxGhlwgxJR6OYZFGF0H\nRw43GLBbG2jIx+UVd+I81PhvhKNzn3OGDD0syMu7RJBvP1bxCrnPgHYuZwjLkmABQeeejxf6\nbikdL11hPEpEIkFq5ux7YsEfd7xMP7y9yXoTtZnX4+k3D7UKf2EYBA0XkdFs1sJv9fLJRbKo\nojKpIgLnbPQQQhEWgtxc8zgkQAri3D9lEu+t5iRdN27+91p4T3ikiDTFj41G5EZKmwKXz8ur\nzXRu7BH4gxxyaNfSmb8HacdP4xb313UMT+GGPMGxwg2a7myJhGruMLMDH5+fP04qPUyg0jDm\nnBtsWDi8CmkP9nCx+mA1NFWuHMWQ8Ny/18J7wiNFpMvxYW+cPL8z1fP3gpeBBYtv1pj8YGAD\nPllH2TY4vjv2kuqQa1YhAYcifThG7x68TtQ6QkLR+CAnkR4e5MkCY+BrgwVazzO7suJqoR/G\nKpXrGssBdcc++iN8Ibm+cmCzkW8VU2eqRPFIEYlc7K+lREgv3NUwhKUrZdfzr6ZtNGy4lo5R\nZ8NRPWiD8PT3uZY6SAbm4WHVu9iMpHNVeo4pkUIPSlmcuB3UYGPQVIP4VwCSOIsmOoyD7Vmk\nsxKb+kRUFnnFhz0y45dIa+thTaS0ouVxShSPFpFYu+VD14tcfN7K8icutQYpQjSxdVSjChUS\n4SeHJ/P4tMNGPD7cLIJPG7lAJOrhW1BqTjI9fFA7LEYpZ2bEQ9VZG9FFQloPoDq9vFsS32CK\nZvrP55J8Bbf6jELHYhrdhz7eBR41IhWLzNbG0RvfGGepvXHRLpaTfgh9e7wSinILRP7fkTFS\nK9hXG+iAhrRiYWE58ZBD9rZa/TDHPduvCiHXHC+TvyrYuk6rj6Dxq+N8g+cEQeokVlf1+9xk\n0NJBuSASyV5ew2ZNfSnHTn4hgpKrkzZcX7sN+Z+G6xLg4YHFfFF18hIpd//IWXv1oQUCDrPt\nJKmlTw3E7SJZ/d3/yU5NZi6noaLGt86UJEuopk6cme0vVphdoipVGOWDSIUwg3W1zmitdzUG\ndBUr2wRjr+sjckw4RiIuT1BOPJTALByFHj05OWRIZ9Bg5DuqXZR5L9nCjV5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qRVdFBuADwpIH/0AueM9U5fenXi65ddPfrPoXQl9gn5kT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mCK8jrwY3iGFU0VfEzBmE3rc7mOn7G0yWEQxnYQLrpozlzZv4GHaC2nmWgX/r7gC7++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\nhCsAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"system.time(with(pdata, plot(x, y)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Normal plot with `ggplot2`"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" user system elapsed \n",
" 13.331 0.220 13.552 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pHKTrLjp229yYX0XEgGvHmDe6TYFLLq8qn/vrzPIJCStiU/x+VG0bxiP5Ht5ryP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Y5rDPdevaHhCSeXSE9G3vVmMnkYIvfFOKj/ONeOFY25IvDOA2xGLnL390M3oclLvs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\noIbe1XaKqUbFn3KQ/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oktTRu94ld9bU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\nRK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"system.time(print(ggplot(pdata, aes(x=x, y=y)) + geom_point()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using `pch='.'`"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" user system elapsed \n",
" 2.688 0.100 2.787 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/P0vED6va9/ejw+fOWXp5U/82ufHp43SM5qBwztABxlADYXky4wUzJSmY5pp1cG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suFMzVOBrFPV4FSOAQIvWthBh/Btjwg7m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\ngAf/B6r3wecDvXNQAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# https://stackoverflow.com/a/33528065/1593536\n",
"system.time(print(ggplot(pdata, aes(x=x, y=y)) + geom_point(pch='.')))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using `scattermore`"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" user system elapsed \n",
" 0.987 0.060 1.047 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kBTSSNI9SJIOxFB2uj4QBpWsG5qlmj47hEhaOl0viE6ef1CcQiOfwHD3it9Ax5e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",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# https://stackoverflow.com/a/54947268/1593536\n",
"system.time(print(ggplot(pdata, aes(x=x, y=y)) + geom_scattermore()))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "R 3.6",
"language": "R",
"name": "ir36"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
@ggirelli
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