Forked from hbredin/Estimating the learning rate bounds for the "1cycle policy".ipynb
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May 12, 2018 02:47
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Estimating the learning rate bounds for the "1cycle policy"
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Populating the interactive namespace from numpy and matplotlib\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%pylab inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Estimating the learning rate bounds for the *\"1cycle policy\"*" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "We first use the procedure described in https://sgugger.github.io/the-1cycle-policy.html:\n", | |
| "\n", | |
| "```\n", | |
| "We have already seen how to implement the learning rate finder. Begin to \n", | |
| "train the model while increasing the learning rate from a very low to a \n", | |
| "very large one, stop when the loss starts to really get out of control. \n", | |
| "Plot the losses against the learning rates and pick a value a bit before \n", | |
| "the minimum, where the loss still improves. \n", | |
| "```" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "In this notebook, the very low value is `min_lr` and the very large one is `max_lr`. \n", | |
| "We use `n_batches` batches to exponentially increase the learning from `min_lr` to `max_lr`." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "min_lr, max_lr, n_batches = 1e-6, 1e3, 500" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Below are actual values I got when training a [speaker embedding with triplet loss](https://arxiv.org/abs/1609.04301)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "from pandas import read_csv\n", | |
| "lr = np.array(read_csv('lr.csv').Value)\n", | |
| "loss = np.array(read_csv('loss.csv').Value)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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bANzAGHuCiD5LRK8Qi11ORE8Q0QYAHwAPUYIx9gSAGwBsBvA7AO9ljDX9RW1V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\n", | |
| "text/plain": [ | |
| "<Figure size 720x216 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "argmin_lr = np.argmin(loss)\n", | |
| "figsize(10, 3)\n", | |
| "semilogx(lr, loss)\n", | |
| "semilogx([lr[argmin_lr], lr[argmin_lr]], [np.min(loss), np.max(loss)]);\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "title(f'Loss reaches its minimum at learning rate = {lr[argmin_lr]:.3g}');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "So, how do we automatically `\"pick a value a bit before the minimum, where the loss still improves\"`? \n", | |
| "This is what this notebook tries to address." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Notations" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "`factor` is the factor by which the learning rate is multiplied after every batch, to get from `min_lr` to `max_lr` in `n_batches` step." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "1.0423174293933042\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "factor = (max_lr / min_lr) ** (1 / n_batches)\n", | |
| "print(factor)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "It then takes `K` batches to increase the learning by one order of magnitude (i.e. 10x)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "55\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "K = int(np.log(10) / np.log(factor))\n", | |
| "print(K)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Principle" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "We use a utility function available in `dlib` to estimate the probability that loss has increased in the last `K` steps." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from dlib import probability_that_sequence_is_increasing\n", | |
| "N = len(loss)\n", | |
| "probability = np.array([probability_that_sequence_is_increasing(loss[i-K:i]) if i > K else np.NAN for i in range(N)])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "This probability allows to automatically detect when loss starts to increase again (after reaching its minimum)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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VnVeu68QNm3twoSs4qcMlS5FF78gvEAgESznXtllaKriyCSk0hyu4QzZ0Z5CV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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "figsize(10, 6)\n", | |
| "subplot(211)\n", | |
| "title(f'Loss')\n", | |
| "semilogx(lr, loss);\n", | |
| "semilogx([lr[argmin_lr], lr[argmin_lr]], [np.min(loss), np.max(loss)]);\n", | |
| "xticks([])\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "subplot(212)\n", | |
| "title(f'Probability that loss has increased in the last K={K} batches')\n", | |
| "semilogx(lr, probability)\n", | |
| "semilogx([lr[argmin_lr], lr[argmin_lr]], [0, 1], label='Loss reaches its minimum.');\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "\n", | |
| "increasing_lr = np.where(probability[argmin_lr:] > 0.1)[0][0] + argmin_lr\n", | |
| "semilogx([lr[increasing_lr], lr[increasing_lr]], [0, 1], label='Loss starts increasing again.');\n", | |
| "legend(loc=2);" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Upper bound is set to 0.1 times the learning rate used when loss starts to increase again. \n", | |
| "Lower bound is set to 0.1 times the upper bound." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "upper_lr = lr[increasing_lr] * 0.1\n", | |
| "lower_lr = 0.1 * upper_lr" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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XcO+zg/jxQzuxd5TnleVViK65oOgfL6l9bB8qYGCijKFcGRk9gd+K1riORSFY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\nH7u1YtQ6mGt/AAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 720x216 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "figsize(10, 3)\n", | |
| "semilogx(lr, loss)\n", | |
| "semilogx([lower_lr, lower_lr], [np.min(loss), np.max(loss)], 'k');\n", | |
| "semilogx([upper_lr, upper_lr], [np.min(loss), np.max(loss)], 'k');\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "title(f'Learning rate should cycle between {lower_lr:.2g} and {upper_lr:.2g}');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Those look like good (and automatic!) learning rate bounds..." | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
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| Wall time | Step | Value | |
|---|---|---|---|
| 1525713832.038332 | 0 | 0.22852326929569244 | |
| 1525713835.749471 | 1 | 0.2523258328437805 | |
| 1525713839.004191 | 2 | 0.3425997197628021 | |
| 1525713842.1125288 | 3 | 0.24703194200992584 | |
| 1525713844.3498728 | 4 | 0.25913023948669434 | |
| 1525713847.321279 | 5 | 0.26800841093063354 | |
| 1525713850.374908 | 6 | 0.23701997101306915 | |
| 1525713853.461141 | 7 | 0.2521418631076813 | |
| 1525713855.58046 | 8 | 0.24216672778129578 | |
| 1525713858.702215 | 9 | 0.29492324590682983 | |
| 1525713861.795378 | 10 | 0.27186059951782227 | |
| 1525713864.871706 | 11 | 0.28857532143592834 | |
| 1525713867.870014 | 12 | 0.30186107754707336 | |
| 1525713870.920053 | 13 | 0.2516201436519623 | |
| 1525713873.999904 | 14 | 0.2575686573982239 | |
| 1525713876.900204 | 15 | 0.3086719214916229 | |
| 1525713879.782448 | 16 | 0.3066118657588959 | |
| 1525713882.7802958 | 17 | 0.22846023738384247 | |
| 1525713885.798917 | 18 | 0.2827906608581543 | |
| 1525713888.809675 | 19 | 0.26663267612457275 | |
| 1525713891.773601 | 20 | 0.24475625157356262 | |
| 1525713893.88881 | 21 | 0.2833520472049713 | |
| 1525713895.113518 | 22 | 0.2962871789932251 | |
| 1525713896.3415911 | 23 | 0.30827200412750244 | |
| 1525713897.581773 | 24 | 0.24276171624660492 | |
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| 1525713901.238595 | 27 | 0.3080511689186096 | |
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| 1525714484.1274529 | 381 | 0.15249261260032654 | |
| 1525714485.417811 | 382 | 0.05499369278550148 | |
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| 1525714494.1314502 | 388 | 0.09477456659078598 | |
| 1525714495.551264 | 389 | 0.07880723476409912 | |
| 1525714496.959161 | 390 | 0.08430328220129013 | |
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| 1525714500.460161 | 392 | 0.08179349452257156 | |
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| 1525714507.1555789 | 395 | 0.0941854864358902 | |
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| 1525714511.748802 | 397 | 0.11673077940940857 | |
| 1525714513.265408 | 398 | 0.09183914214372635 | |
| 1525714515.0407958 | 399 | 0.061181340366601944 | |
| 1525714516.460499 | 400 | 0.06990020722150803 | |
| 1525714518.0336928 | 401 | 0.08450373262166977 | |
| 1525714519.402565 | 402 | 0.08990717679262161 | |
| 1525714521.167456 | 403 | 0.06434235721826553 | |
| 1525714522.7602298 | 404 | 0.10703172534704208 | |
| 1525714524.904764 | 405 | 0.09558700025081635 | |
| 1525714527.2591429 | 406 | 0.05969832092523575 | |
| 1525714528.5764658 | 407 | 0.07269386202096939 | |
| 1525714530.722369 | 408 | 0.06502015888690948 | |
| 1525714532.827689 | 409 | 0.08265507221221924 | |
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| 1525714537.322311 | 412 | 0.11860128492116928 | |
| 1525714539.0316958 | 413 | 0.08733294159173965 | |
| 1525714540.614212 | 414 | 0.05900666117668152 | |
| 1525714542.12533 | 415 | 0.07874733209609985 | |
| 1525714543.42137 | 416 | 0.10745740681886673 | |
| 1525714545.3448908 | 417 | 0.06362120807170868 | |
| 1525714546.858834 | 418 | 0.08908149600028992 | |
| 1525714548.3443022 | 419 | 0.11165821552276611 | |
| 1525714549.965068 | 420 | 0.06580223888158798 | |
| 1525714551.427849 | 421 | 0.10050692409276962 | |
| 1525714552.752177 | 422 | 0.08707436919212341 | |
| 1525714554.013888 | 423 | 0.09711869060993195 | |
| 1525714555.322082 | 424 | 0.1005978062748909 | |
| 1525714556.6177988 | 425 | 0.09629050642251968 | |
| 1525714557.9212291 | 426 | 0.12337905168533325 | |
| 1525714559.20668 | 427 | 0.0694601908326149 | |
| 1525714560.5083761 | 428 | 0.07224313914775848 | |
| 1525714561.807065 | 429 | 0.09866835176944733 | |
| 1525714563.120233 | 430 | 0.11259473115205765 | |
| 1525714564.4134002 | 431 | 0.18182975053787231 | |
| 1525714565.727339 | 432 | 0.07477088272571564 | |
| 1525714567.011731 | 433 | 0.11007948219776154 | |
| 1525714568.259205 | 434 | 0.08834836632013321 | |
| 1525714569.520653 | 435 | 0.08602993935346603 | |
| 1525714570.821121 | 436 | 0.07724199444055557 | |
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| 1525714579.962733 | 443 | 0.08908317238092422 | |
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| 1525714586.431069 | 448 | 0.12520433962345123 | |
| 1525714587.694803 | 449 | 0.09349814802408218 | |
| 1525714588.95788 | 450 | 0.12972353398799896 | |
| 1525714590.239063 | 451 | 0.07897470146417618 | |
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| 1525714599.05523 | 458 | 0.08675506711006165 | |
| 1525714600.332407 | 459 | 0.15350069105625153 | |
| 1525714601.605021 | 460 | 0.13479600846767426 | |
| 1525714602.885314 | 461 | 0.09741547703742981 | |
| 1525714604.222931 | 462 | 0.17293423414230347 | |
| 1525714605.5116081 | 463 | 0.1321975588798523 | |
| 1525714606.79008 | 464 | 0.19268354773521423 | |
| 1525714608.057611 | 465 | 0.16810473799705505 | |
| 1525714609.341676 | 466 | 0.126627117395401 | |
| 1525714610.627382 | 467 | 0.17746315896511078 | |
| 1525714611.920882 | 468 | 0.15022388100624084 | |
| 1525714613.22285 | 469 | 0.19471615552902222 | |
| 1525714614.523367 | 470 | 0.14373435080051422 | |
| 1525714615.8236659 | 471 | 0.13086891174316406 | |
| 1525714617.1357272 | 472 | 0.11933787912130356 | |
| 1525714618.450834 | 473 | 0.14923006296157837 | |
| 1525714619.750477 | 474 | 0.20215079188346863 | |
| 1525714621.093569 | 475 | 0.17507340013980865 | |
| 1525714622.4082072 | 476 | 0.19324302673339844 | |
| 1525714623.725697 | 477 | 0.24685528874397278 | |
| 1525714625.0163462 | 478 | 0.1669444590806961 | |
| 1525714626.368006 | 479 | 0.18166233599185944 | |
| 1525714627.696791 | 480 | 0.1401418149471283 | |
| 1525714629.0322628 | 481 | 0.16610562801361084 | |
| 1525714630.3763032 | 482 | 0.19419950246810913 | |
| 1525714631.709713 | 483 | 0.1940930038690567 | |
| 1525714633.087538 | 484 | 0.17952336370944977 | |
| 1525714634.480148 | 485 | 0.21634988486766815 | |
| 1525714635.8189461 | 486 | 0.23196491599082947 | |
| 1525714637.290146 | 487 | 0.2943870723247528 | |
| 1525714638.885451 | 488 | 0.24526269733905792 | |
| 1525714640.200865 | 489 | 0.21013113856315613 | |
| 1525714641.535116 | 490 | 0.22447709739208221 | |
| 1525714642.8935711 | 491 | 0.2237824648618698 | |
| 1525714644.223016 | 492 | 0.2211109697818756 | |
| 1525714645.551904 | 493 | 0.2417677789926529 | |
| 1525714646.862939 | 494 | 0.23264876008033752 | |
| 1525714648.179824 | 495 | 0.20751740038394928 | |
| 1525714649.507817 | 496 | 0.17769084870815277 | |
| 1525714650.8403049 | 497 | 0.25644347071647644 | |
| 1525714652.156041 | 498 | 0.23520393669605255 | |
| 1525714653.494803 | 499 | 0.22951577603816986 |
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| Wall time | Step | Value | |
|---|---|---|---|
| 1525713832.03877 | 0 | 9.5940060873545e-07 | |
| 1525713835.7496572 | 1 | 9.999999974752427e-07 | |
| 1525713839.004378 | 2 | 1.0423174217066844e-06 | |
| 1525713842.112733 | 3 | 1.086425641005917e-06 | |
| 1525713844.350079 | 4 | 1.132400370806863e-06 | |
| 1525713847.321472 | 5 | 1.1803206234617392e-06 | |
| 1525713850.3751109 | 6 | 1.2302688219278934e-06 | |
| 1525713853.46134 | 7 | 1.2823305723941303e-06 | |
| 1525713855.5806642 | 8 | 1.3365954600885743e-06 | |
| 1525713858.7024891 | 9 | 1.393156821904995e-06 | |
| 1525713861.795573 | 10 | 1.4521116327159689e-06 | |
| 1525713864.871901 | 11 | 1.5135613011807436e-06 | |
| 1525713867.870201 | 12 | 1.5776112149978871e-06 | |
| 1525713870.9202921 | 13 | 1.6443717640868272e-06 | |
| 1525713874.000095 | 14 | 1.7139573174063116e-06 | |
| 1525713876.900407 | 15 | 1.7864875871964614e-06 | |
| 1525713879.782645 | 16 | 1.8620871742314193e-06 | |
| 1525713882.78048 | 17 | 1.940885795193026e-06 | |
| 1525713885.799124 | 18 | 2.0230190784786828e-06 | |
| 1525713888.809888 | 19 | 2.1086282231408404e-06 | |
| 1525713891.7738082 | 20 | 2.1978598852001596e-06 | |
| 1525713893.88901 | 21 | 2.2908675418875646e-06 | |
| 1525713895.113729 | 22 | 2.3878112642705673e-06 | |
| 1525713896.3418 | 23 | 2.488857262505917e-06 | |
| 1525713897.581978 | 24 | 2.594179250081652e-06 | |
| 1525713898.7840939 | 25 | 2.7039584438171005e-06 | |
| 1525713899.995924 | 26 | 2.8183828817418544e-06 | |
| 1525713901.238793 | 27 | 2.9376496968325227e-06 | |
| 1525713902.475862 | 28 | 3.0619635253970046e-06 | |
| 1525713903.703584 | 29 | 3.191537871316541e-06 | |
| 1525713904.932487 | 30 | 3.3265955607930664e-06 | |
| 1525713906.164544 | 31 | 3.467368514975533e-06 | |
| 1525713907.4098449 | 32 | 3.614098659454612e-06 | |
| 1525713908.6584902 | 33 | 3.767037924262695e-06 | |
| 1525713909.932679 | 34 | 3.926449153368594e-06 | |
| 1525713911.166917 | 35 | 4.092606559424894e-06 | |
| 1525713912.385771 | 36 | 4.2657952690206e-06 | |
| 1525713913.609983 | 37 | 4.446312686923193e-06 | |
| 1525713914.843501 | 38 | 4.634469405573327e-06 | |
| 1525713916.083877 | 39 | 4.830587840842782e-06 | |
| 1525713917.337099 | 40 | 5.035005870013265e-06 | |
| 1525713918.5894778 | 41 | 5.2480745580396615e-06 | |
| 1525713919.8323681 | 42 | 5.470159521792084e-06 | |
| 1525713921.107033 | 43 | 5.701642749045277e-06 | |
| 1525713922.3229709 | 44 | 5.942921688983915e-06 | |
| 1525713923.53021 | 45 | 6.194410616444657e-06 | |
| 1525713924.7618291 | 46 | 6.456542450905545e-06 | |
| 1525713926.040975 | 47 | 6.729766482749255e-06 | |
| 1525713927.30059 | 48 | 7.014552920736605e-06 | |
| 1525713928.5377212 | 49 | 7.311390618269797e-06 | |
| 1525713929.779485 | 50 | 7.620790256623877e-06 | |
| 1525713931.0257258 | 51 | 7.943282071209978e-06 | |
| 1525713932.261356 | 52 | 8.279421308543533e-06 | |
| 1525713933.480684 | 53 | 8.629785043012816e-06 | |
| 1525713934.6940281 | 54 | 8.994976269605104e-06 | |
| 1525713935.9123101 | 55 | 9.375619811180513e-06 | |
| 1525713937.176178 | 56 | 9.772372322913725e-06 | |
| 1525713939.8800561 | 57 | 1.0185914106841665e-05 | |
| 1525713942.901773 | 58 | 1.0616955478326418e-05 | |
| 1525713945.883198 | 59 | 1.1066237675549928e-05 | |
| 1525713948.861865 | 60 | 1.1534532859514002e-05 | |
| 1525713952.0291042 | 61 | 1.2022644114040304e-05 | |
| 1525713955.108267 | 62 | 1.2531411812233273e-05 | |
| 1525713958.213333 | 63 | 1.306170906900661e-05 | |
| 1525713961.291431 | 64 | 1.3614447198051494e-05 | |
| 1525713964.374212 | 65 | 1.4190574802341871e-05 | |
| 1525713967.388181 | 66 | 1.4791084140597377e-05 | |
| 1525713970.512044 | 67 | 1.541700476082042e-05 | |
| 1525713973.433166 | 68 | 1.6069412595243193e-05 | |
| 1525713976.537544 | 69 | 1.6749429050832987e-05 | |
| 1525713979.593695 | 70 | 1.7458221918786876e-05 | |
| 1525713982.740294 | 71 | 1.8197008103015833e-05 | |
| 1525713985.849387 | 72 | 1.8967059077112935e-05 | |
| 1525713988.96552 | 73 | 1.9769697246374562e-05 | |
| 1525713992.0755851 | 74 | 2.0606299585779198e-05 | |
| 1525713995.215955 | 75 | 2.1478304915945046e-05 | |
| 1525713998.1804311 | 76 | 2.238721208414063e-05 | |
| 1525714001.146081 | 77 | 2.3334579964284785e-05 | |
| 1525714002.773813 | 78 | 2.4322040189872496e-05 | |
| 1525714003.993928 | 79 | 2.5351286240038462e-05 | |
| 1525714005.257191 | 80 | 2.6424087991472334e-05 | |
| 1525714006.524877 | 81 | 2.75422862614505e-05 | |
| 1525714007.777045 | 82 | 2.870780554076191e-05 | |
| 1525714009.044148 | 83 | 2.9922646717750467e-05 | |
| 1525714010.308088 | 84 | 3.1188894354272634e-05 | |
| 1525714011.6601548 | 85 | 3.2508731237612665e-05 | |
| 1525714012.917255 | 86 | 3.388441473362036e-05 | |
| 1525714014.182577 | 87 | 3.5318316804477945e-05 | |
| 1525714015.432919 | 88 | 3.681289672385901e-05 | |
| 1525714016.701392 | 89 | 3.837072290480137e-05 | |
| 1525714017.9532008 | 90 | 3.999447653768584e-05 | |
| 1525714019.2109828 | 91 | 4.168693703832105e-05 | |
| 1525714020.432509 | 92 | 4.3451022065710276e-05 | |
| 1525714021.664303 | 93 | 4.528975841822103e-05 | |
| 1525714022.907734 | 94 | 4.7206303861457855e-05 | |
| 1525714024.144447 | 95 | 4.9203954404219985e-05 | |
| 1525714025.368425 | 96 | 5.12861370225437e-05 | |
| 1525714026.684841 | 97 | 5.345643512555398e-05 | |
| 1525714028.12975 | 98 | 5.571857400354929e-05 | |
| 1525714029.738344 | 99 | 5.8076442655874416e-05 | |
| 1525714031.274733 | 100 | 6.053408651496284e-05 | |
| 1525714033.032382 | 101 | 6.30957365501672e-05 | |
| 1525714034.439348 | 102 | 6.576578016392887e-05 | |
| 1525714035.722595 | 103 | 6.85488193994388e-05 | |
| 1525714036.964958 | 104 | 7.144963456084952e-05 | |
| 1525714038.380107 | 105 | 7.447319512721151e-05 | |
| 1525714039.812145 | 106 | 7.762471068417653e-05 | |
| 1525714041.284513 | 107 | 8.090958726825193e-05 | |
| 1525714042.5826712 | 108 | 8.43334782985039e-05 | |
| 1525714043.8770502 | 109 | 8.79022481967695e-05 | |
| 1525714045.2600582 | 110 | 9.162205242319033e-05 | |
| 1525714046.947388 | 111 | 9.549925744067878e-05 | |
| 1525714048.4520352 | 112 | 9.954054257832468e-05 | |
| 1525714050.4685519 | 113 | 0.00010375284182373434 | |
| 1525714051.869714 | 114 | 0.00010814339475473389 | |
| 1525714053.945007 | 115 | 0.00011271974653936923 | |
| 1525714055.5970812 | 116 | 0.00011748975521186367 | |
| 1525714056.8580759 | 117 | 0.00012246161350049078 | |
| 1525714059.08753 | 118 | 0.00012764388520736247 | |
| 1525714061.259001 | 119 | 0.00013304543972481042 | |
| 1525714062.754988 | 120 | 0.00013867557572666556 | |
| 1525714064.350336 | 121 | 0.00014454397023655474 | |
| 1525714065.922291 | 122 | 0.00015066070773173124 | |
| 1525714068.62114 | 123 | 0.0001570362801430747 | |
| 1525714070.675633 | 124 | 0.00016368164506275207 | |
| 1525714072.667354 | 125 | 0.00017060824029613286 | |
| 1525714074.522484 | 126 | 0.00017782794020604342 | |
| 1525714076.004488 | 127 | 0.00018535315757617354 | |
| 1525714077.3127198 | 128 | 0.00019319682905916125 | |
| 1525714078.747666 | 129 | 0.000201372429728508 | |
| 1525714080.1205099 | 130 | 0.00020989398763049394 | |
| 1525714081.4273012 | 131 | 0.00021877615654375404 | |
| 1525714083.506181 | 132 | 0.00022803420142736286 | |
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| 1525714608.057805 | 465 | 224.90545654296875 | |
| 1525714609.3418849 | 466 | 234.42288208007812 | |
| 1525714610.627576 | 467 | 244.34304809570312 | |
| 1525714611.921078 | 468 | 254.6830291748047 | |
| 1525714613.223068 | 469 | 265.4605712890625 | |
| 1525714614.5235798 | 470 | 276.69415283203125 | |
| 1525714615.8239 | 471 | 288.40313720703125 | |
| 1525714617.135938 | 472 | 300.6076354980469 | |
| 1525714618.45107 | 473 | 313.3285827636719 | |
| 1525714619.7506938 | 474 | 326.58782958984375 | |
| 1525714621.09377 | 475 | 340.408203125 | |
| 1525714622.408413 | 476 | 354.8133850097656 | |
| 1525714623.725968 | 477 | 369.82818603515625 | |
| 1525714625.016567 | 478 | 385.4783630371094 | |
| 1525714626.368212 | 479 | 401.7908020019531 | |
| 1525714627.696981 | 480 | 418.7935791015625 | |
| 1525714629.032456 | 481 | 436.5158386230469 | |
| 1525714630.3765068 | 482 | 454.9880676269531 | |
| 1525714631.710042 | 483 | 474.2419738769531 | |
| 1525714633.087737 | 484 | 494.3106994628906 | |
| 1525714634.480343 | 485 | 515.2286376953125 | |
| 1525714635.819167 | 486 | 537.0317993164062 | |
| 1525714637.290365 | 487 | 559.7576293945312 | |
| 1525714638.885661 | 488 | 583.4451293945312 | |
| 1525714640.2012281 | 489 | 608.135009765625 | |
| 1525714641.53531 | 490 | 633.8696899414062 | |
| 1525714642.893763 | 491 | 660.6934204101562 | |
| 1525714644.223225 | 492 | 688.6522827148438 | |
| 1525714645.552112 | 493 | 717.7943115234375 | |
| 1525714646.863146 | 494 | 748.1694946289062 | |
| 1525714648.1800928 | 495 | 779.8301391601562 | |
| 1525714649.5080152 | 496 | 812.8305053710938 | |
| 1525714650.840498 | 497 | 847.2274169921875 | |
| 1525714652.1563158 | 498 | 883.0798950195312 | |
| 1525714653.4951308 | 499 | 920.4495849609375 |
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