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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": "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": 21, | |
| "metadata": {}, | |
| "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": 22, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "min_lr, max_lr, n_batches = np.min(lr), np.max(lr), len(loss)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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5RxBDKrr3jVaGEIlYFZXK9KarBgTVpJ3upJUtWcgULcTcBsFh5nUiO4vakm4d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\nCIIgCgQJK4IgCIIgiALx/wEvOGsZjzT50QAAAABJRU5ErkJggg==\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", | |
| "ylim(0, min(1., np.max(loss) * 1.1))\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": 24, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "1.0422310321689239\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": 25, | |
| "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": 26, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "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 increasing after an initial decrease." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/bredin/anaconda3/envs/py36-pytorch/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in less\n", | |
| " after removing the cwd from sys.path.\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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jE/h4eyY+Di8KyqqwLzQlLtTJH380hmGxwcz82xckRwZwtLACt4Elt5/Co+9t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\nFGQSiUQikUgkHYwUZBKJRCKRSCQdzP8HUJjhjYLGp4oAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "ONSET = 1e-6\n", | |
| "OFFSET = 1e-1\n", | |
| "\n", | |
| "start = np.where(probability < ONSET)[0][0]\n", | |
| "stop = start + np.where(probability[start:] > OFFSET)[0][0]\n", | |
| "\n", | |
| "figsize(10, 6)\n", | |
| "\n", | |
| "subplot(212)\n", | |
| "title(f'Loss')\n", | |
| "semilogx(lr, loss);\n", | |
| "semilogx([lr[start]] * 2, [0, 1], 'C1--', label='Loss starts decreasing')\n", | |
| "semilogx([lr[stop]] * 2, [0, 1], 'C2--', label='Loss no longer decreases')\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "ylim(0, min(1., np.max(loss) * 1.1))\n", | |
| "legend()\n", | |
| "\n", | |
| "\n", | |
| "subplot(211)\n", | |
| "title(f'Probability that loss has increased in the last K={K} batches')\n", | |
| "loglog(lr, probability)\n", | |
| "loglog([min_lr, lr[start]], [ONSET] * 2, 'C1--', label='Onset')\n", | |
| "loglog([lr[start], lr[stop]], [OFFSET] * 2, 'C2--', label='Offset')\n", | |
| "\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "ylim(1e-20, 10)\n", | |
| "legend(loc=3);" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Upper bound is set to 0.1 times the learning rate used when loss no longer decreases. \n", | |
| "Lower bound is set to 0.1 times the upper bound." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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LYOec/y/n/BzO+Tlz5kxaY0uj0Wg0Go1mVlGPsHoawErG2DLGWAzAWwDcSR9yzsc45x2c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\nAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<Figure size 720x216 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "figsize(10, 3)\n", | |
| "\n", | |
| "upper = stop - K\n", | |
| "lower = stop - 2*K\n", | |
| "\n", | |
| "figsize(10, 3)\n", | |
| "semilogx(lr, loss)\n", | |
| "semilogx([lr[lower]] * 2, [0, 1], 'k')\n", | |
| "semilogx([lr[upper]] * 2, [0, 1], 'k')\n", | |
| "xlim(min_lr, max_lr);\n", | |
| "ylim(0, min(1., np.max(loss) * 1.1))\n", | |
| "title(f'Learning rate should cycle between {lr[lower]:.2g} and {lr[upper]:.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": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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| Wall time | Step | Value | |
|---|---|---|---|
| 1526288787.7194371 | 0 | 0.2841128408908844 | |
| 1526288792.728841 | 1 | 0.2807535231113434 | |
| 1526288799.1185138 | 2 | 0.35595691204071045 | |
| 1526288806.658485 | 3 | 0.26897484064102173 | |
| 1526288813.688013 | 4 | 0.27795860171318054 | |
| 1526288820.4062562 | 5 | 0.3123190104961395 | |
| 1526288828.516421 | 6 | 0.22296418249607086 | |
| 1526288835.149643 | 7 | 0.29995203018188477 | |
| 1526288841.3624141 | 8 | 0.2407379001379013 | |
| 1526288848.747505 | 9 | 0.330397367477417 | |
| 1526288854.056638 | 10 | 0.22789877653121948 | |
| 1526288858.682156 | 11 | 0.28245988488197327 | |
| 1526288865.326497 | 12 | 0.2939768433570862 | |
| 1526288870.749436 | 13 | 0.20425845682621002 | |
| 1526288872.9071481 | 14 | 0.2656954228878021 | |
| 1526288875.186164 | 15 | 0.2556457221508026 | |
| 1526288877.526028 | 16 | 0.2925778031349182 | |
| 1526288879.75855 | 17 | 0.2577345371246338 | |
| 1526288882.051031 | 18 | 0.235365629196167 | |
| 1526288884.1193779 | 19 | 0.2697259187698364 | |
| 1526288886.387406 | 20 | 0.2048177272081375 | |
| 1526288888.387003 | 21 | 0.3235914409160614 | |
| 1526288890.4628701 | 22 | 0.2963087260723114 | |
| 1526288892.5243578 | 23 | 0.2611330449581146 | |
| 1526288894.7923672 | 24 | 0.24430683255195618 | |
| 1526288896.9965498 | 25 | 0.3570462167263031 | |
| 1526288899.1352131 | 26 | 0.2242470234632492 | |
| 1526288901.214168 | 27 | 0.33336949348449707 | |
| 1526288903.282516 | 28 | 0.25655505061149597 | |
| 1526288905.626387 | 29 | 0.27565672993659973 | |
| 1526288907.9136908 | 30 | 0.24474048614501953 | |
| 1526288910.083246 | 31 | 0.2859852612018585 | |
| 1526288912.27097 | 32 | 0.3040516972541809 | |
| 1526288915.093206 | 33 | 0.37503761053085327 | |
| 1526288918.7530031 | 34 | 0.31600913405418396 | |
| 1526288921.0893161 | 35 | 0.2681140899658203 | |
| 1526288923.003802 | 36 | 0.38278084993362427 | |
| 1526288925.221024 | 37 | 0.2770482003688812 | |
| 1526288927.317763 | 38 | 0.24893991649150848 | |
| 1526288929.50338 | 39 | 0.24186310172080994 | |
| 1526288931.557394 | 40 | 0.28716498613357544 | |
| 1526288933.690321 | 41 | 0.24655398726463318 | |
| 1526288935.8087318 | 42 | 0.2517234981060028 | |
| 1526288937.918832 | 43 | 0.2670120894908905 | |
| 1526288940.044939 | 44 | 0.29850903153419495 | |
| 1526288942.0951538 | 45 | 0.2708605229854584 | |
| 1526288944.192218 | 46 | 0.3076683282852173 | |
| 1526288946.333298 | 47 | 0.28375497460365295 | |
| 1526288948.568727 | 48 | 0.2899685204029083 | |
| 1526288951.200292 | 49 | 0.26548224687576294 | |
| 1526288953.6267881 | 50 | 0.22291584312915802 | |
| 1526288956.5255082 | 51 | 0.3029996454715729 | |
| 1526288958.744119 | 52 | 0.2806055545806885 | |
| 1526288960.8145 | 53 | 0.25004062056541443 | |
| 1526288962.984962 | 54 | 0.34555938839912415 | |
| 1526288965.296202 | 55 | 0.23021326959133148 | |
| 1526288967.538403 | 56 | 0.19336844980716705 | |
| 1526288972.711045 | 57 | 0.22666168212890625 | |
| 1526288976.757646 | 58 | 0.319938063621521 | |
| 1526288982.3609622 | 59 | 0.29770633578300476 | |
| 1526288987.25906 | 60 | 0.2941250205039978 | |
| 1526288992.698239 | 61 | 0.2541012465953827 | |
| 1526288998.18374 | 62 | 0.29696419835090637 | |
| 1526289004.762586 | 63 | 0.24479255080223083 | |
| 1526289010.608734 | 64 | 0.27824023365974426 | |
| 1526289016.297729 | 65 | 0.3336544930934906 | |
| 1526289022.1356428 | 66 | 0.25441789627075195 | |
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| 1526289811.914536 | 389 | 0.07608002424240112 | |
| 1526289814.0519931 | 390 | 0.0872558131814003 | |
| 1526289816.2019598 | 391 | 0.08413735777139664 | |
| 1526289818.505902 | 392 | 0.06241283565759659 | |
| 1526289820.952954 | 393 | 0.07559648901224136 | |
| 1526289823.285738 | 394 | 0.08808643370866776 | |
| 1526289825.791772 | 395 | 0.10736464709043503 | |
| 1526289827.89512 | 396 | 0.07635842263698578 | |
| 1526289831.0885718 | 397 | 0.0848255306482315 | |
| 1526289833.152025 | 398 | 0.08677008002996445 | |
| 1526289835.453449 | 399 | 0.08830910176038742 | |
| 1526289837.692201 | 400 | 0.10405103117227554 | |
| 1526289839.8820632 | 401 | 0.08318231999874115 | |
| 1526289841.922827 | 402 | 0.0875919982790947 | |
| 1526289843.960804 | 403 | 0.057420872151851654 | |
| 1526289846.1254861 | 404 | 0.07281363010406494 | |
| 1526289848.2442071 | 405 | 0.06860233843326569 | |
| 1526289850.220302 | 406 | 0.10967594385147095 | |
| 1526289852.3244421 | 407 | 0.111172616481781 | |
| 1526289854.66113 | 408 | 0.07293502241373062 | |
| 1526289856.738483 | 409 | 0.0802820548415184 | |
| 1526289858.9594738 | 410 | 0.058517273515462875 | |
| 1526289861.050879 | 411 | 0.0843634158372879 | |
| 1526289863.1567519 | 412 | 0.10228375345468521 | |
| 1526289865.3255801 | 413 | 0.11759478598833084 | |
| 1526289867.466739 | 414 | 0.0804380550980568 | |
| 1526289869.497312 | 415 | 0.09700003266334534 | |
| 1526289871.6464791 | 416 | 0.10366493463516235 | |
| 1526289873.669934 | 417 | 0.08879169821739197 | |
| 1526289875.813707 | 418 | 0.10000501573085785 | |
| 1526289877.8603468 | 419 | 0.07546551525592804 | |
| 1526289879.9756641 | 420 | 0.08039125800132751 | |
| 1526289882.026946 | 421 | 0.08351049572229385 | |
| 1526289884.4463308 | 422 | 0.09193956106901169 | |
| 1526289886.473392 | 423 | 0.1093292385339737 | |
| 1526289888.577701 | 424 | 0.0584745816886425 | |
| 1526289890.610135 | 425 | 0.1280786693096161 | |
| 1526289892.78989 | 426 | 0.08190327882766724 | |
| 1526289895.3052 | 427 | 0.10345461219549179 | |
| 1526289897.457819 | 428 | 0.13210760056972504 | |
| 1526289899.53432 | 429 | 0.07786913216114044 | |
| 1526289901.6602812 | 430 | 0.09495174139738083 | |
| 1526289903.8723001 | 431 | 0.08398707211017609 | |
| 1526289905.964086 | 432 | 0.10277468711137772 | |
| 1526289908.0426738 | 433 | 0.08123976737260818 | |
| 1526289910.127202 | 434 | 0.06312312185764313 | |
| 1526289912.348916 | 435 | 0.09810890257358551 | |
| 1526289914.747743 | 436 | 0.07867128401994705 | |
| 1526289916.880851 | 437 | 0.1472417265176773 | |
| 1526289918.780729 | 438 | 0.09216717630624771 | |
| 1526289920.9105878 | 439 | 0.07996643334627151 | |
| 1526289922.963659 | 440 | 0.11819826811552048 | |
| 1526289925.284416 | 441 | 0.12834444642066956 | |
| 1526289927.330558 | 442 | 0.0956805944442749 | |
| 1526289929.422413 | 443 | 0.10993824154138565 | |
| 1526289931.565522 | 444 | 0.09324909746646881 | |
| 1526289933.754435 | 445 | 0.12384448200464249 | |
| 1526289935.7874072 | 446 | 0.12069205939769745 | |
| 1526289937.838012 | 447 | 0.12691016495227814 | |
| 1526289940.0710661 | 448 | 0.12047968804836273 | |
| 1526289942.155312 | 449 | 0.08239593356847763 | |
| 1526289944.6109571 | 450 | 0.09123335033655167 | |
| 1526289948.1026099 | 451 | 0.09385677427053452 | |
| 1526289951.28349 | 452 | 0.12842245399951935 | |
| 1526289953.510497 | 453 | 0.09374435245990753 | |
| 1526289955.845711 | 454 | 0.1148352324962616 | |
| 1526289958.037245 | 455 | 0.12989403307437897 | |
| 1526289960.474118 | 456 | 0.1782691776752472 | |
| 1526289963.132742 | 457 | 0.1133728176355362 | |
| 1526289966.810944 | 458 | 0.11529652774333954 | |
| 1526289969.30443 | 459 | 0.11444486677646637 | |
| 1526289971.590716 | 460 | 0.10362843424081802 | |
| 1526289974.3796859 | 461 | 0.13027247786521912 | |
| 1526289977.114243 | 462 | 0.16444849967956543 | |
| 1526289979.72876 | 463 | 0.15274082124233246 | |
| 1526289982.0104818 | 464 | 0.13625672459602356 | |
| 1526289984.203948 | 465 | 0.17226196825504303 | |
| 1526289986.566263 | 466 | 0.1637631058692932 | |
| 1526289988.907125 | 467 | 0.13842561841011047 | |
| 1526289991.230519 | 468 | 0.2055201381444931 | |
| 1526289993.500061 | 469 | 0.19374524056911469 | |
| 1526289995.790503 | 470 | 0.15002648532390594 | |
| 1526289998.061237 | 471 | 0.23430848121643066 | |
| 1526290000.315594 | 472 | 0.16796204447746277 | |
| 1526290002.6446211 | 473 | 0.18291312456130981 | |
| 1526290005.126029 | 474 | 0.21973204612731934 | |
| 1526290007.39095 | 475 | 0.20293033123016357 | |
| 1526290009.592142 | 476 | 0.1780514270067215 | |
| 1526290012.252948 | 477 | 0.1953304409980774 | |
| 1526290014.497341 | 478 | 0.1668253093957901 | |
| 1526290016.731992 | 479 | 0.21453189849853516 | |
| 1526290018.9408169 | 480 | 0.24611197412014008 | |
| 1526290021.212806 | 481 | 0.24118393659591675 | |
| 1526290023.487369 | 482 | 0.2115873098373413 | |
| 1526290025.747042 | 483 | 0.231863334774971 | |
| 1526290027.961546 | 484 | 0.2735311686992645 | |
| 1526290030.0734231 | 485 | 0.25033047795295715 | |
| 1526290032.236018 | 486 | 0.24988296627998352 | |
| 1526290034.591496 | 487 | 0.18952810764312744 | |
| 1526290036.863328 | 488 | 0.2139352560043335 | |
| 1526290039.051051 | 489 | 0.2567961812019348 | |
| 1526290041.325309 | 490 | 0.21062593162059784 | |
| 1526290043.510433 | 491 | 0.23119328916072845 | |
| 1526290045.697959 | 492 | 0.2564062476158142 | |
| 1526290047.9254558 | 493 | 0.25855448842048645 | |
| 1526290050.0961149 | 494 | 0.179928719997406 | |
| 1526290052.270427 | 495 | 0.2687928080558777 | |
| 1526290054.391208 | 496 | 0.2445332258939743 | |
| 1526290056.500231 | 497 | 0.18719454109668732 | |
| 1526290058.64178 | 498 | 0.29532790184020996 | |
| 1526290060.899588 | 499 | 0.2983326017856598 |
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| Wall time | Step | Value | |
|---|---|---|---|
| 1526288787.7198348 | 0 | 9.5940060873545e-07 | |
| 1526288792.729132 | 1 | 9.999999974752427e-07 | |
| 1526288799.118816 | 2 | 1.0423174217066844e-06 | |
| 1526288806.659112 | 3 | 1.086425641005917e-06 | |
| 1526288813.688323 | 4 | 1.132400370806863e-06 | |
| 1526288820.4065468 | 5 | 1.1803206234617392e-06 | |
| 1526288828.516774 | 6 | 1.2302688219278934e-06 | |
| 1526288835.150026 | 7 | 1.2823305723941303e-06 | |
| 1526288841.362741 | 8 | 1.3365954600885743e-06 | |
| 1526288848.748044 | 9 | 1.393156821904995e-06 | |
| 1526288854.057141 | 10 | 1.4521116327159689e-06 | |
| 1526288858.682582 | 11 | 1.5135613011807436e-06 | |
| 1526288865.326934 | 12 | 1.5776112149978871e-06 | |
| 1526288870.749824 | 13 | 1.6443717640868272e-06 | |
| 1526288872.9075148 | 14 | 1.7139573174063116e-06 | |
| 1526288875.186541 | 15 | 1.7864875871964614e-06 | |
| 1526288877.526377 | 16 | 1.8620871742314193e-06 | |
| 1526288879.758912 | 17 | 1.940885795193026e-06 | |
| 1526288882.0513952 | 18 | 2.0230190784786828e-06 | |
| 1526288884.119742 | 19 | 2.1086282231408404e-06 | |
| 1526288886.3878028 | 20 | 2.1978598852001596e-06 | |
| 1526288888.3873248 | 21 | 2.2908675418875646e-06 | |
| 1526288890.463231 | 22 | 2.3878112642705673e-06 | |
| 1526288892.5249019 | 23 | 2.488857262505917e-06 | |
| 1526288894.7927449 | 24 | 2.594179250081652e-06 | |
| 1526288896.997189 | 25 | 2.7039584438171005e-06 | |
| 1526288899.13663 | 26 | 2.8183828817418544e-06 | |
| 1526288901.214637 | 27 | 2.9376496968325227e-06 | |
| 1526288903.283403 | 28 | 3.0619635253970046e-06 | |
| 1526288905.626793 | 29 | 3.191537871316541e-06 | |
| 1526288907.914094 | 30 | 3.3265955607930664e-06 | |
| 1526288910.0839622 | 31 | 3.467368514975533e-06 | |
| 1526288912.271747 | 32 | 3.614098659454612e-06 | |
| 1526288915.093611 | 33 | 3.767037924262695e-06 | |
| 1526288918.753629 | 34 | 3.926449153368594e-06 | |
| 1526288921.0900328 | 35 | 4.092606559424894e-06 | |
| 1526288923.004268 | 36 | 4.2657952690206e-06 | |
| 1526288925.221638 | 37 | 4.446312686923193e-06 | |
| 1526288927.3182988 | 38 | 4.634469405573327e-06 | |
| 1526288929.503788 | 39 | 4.830587840842782e-06 | |
| 1526288931.5579772 | 40 | 5.035005870013265e-06 | |
| 1526288933.690787 | 41 | 5.2480745580396615e-06 | |
| 1526288935.8091588 | 42 | 5.470159521792084e-06 | |
| 1526288937.9191291 | 43 | 5.701642749045277e-06 | |
| 1526288940.0454001 | 44 | 5.942921688983915e-06 | |
| 1526288942.095668 | 45 | 6.194410616444657e-06 | |
| 1526288944.192726 | 46 | 6.456542450905545e-06 | |
| 1526288946.3335931 | 47 | 6.729766482749255e-06 | |
| 1526288948.569098 | 48 | 7.014552920736605e-06 | |
| 1526288951.2006478 | 49 | 7.311390618269797e-06 | |
| 1526288953.6273222 | 50 | 7.620790256623877e-06 | |
| 1526288956.525934 | 51 | 7.943282071209978e-06 | |
| 1526288958.744517 | 52 | 8.279421308543533e-06 | |
| 1526288960.8149009 | 53 | 8.629785043012816e-06 | |
| 1526288962.98541 | 54 | 8.994976269605104e-06 | |
| 1526288965.2966552 | 55 | 9.375619811180513e-06 | |
| 1526288967.5387762 | 56 | 9.772372322913725e-06 | |
| 1526288972.7114549 | 57 | 1.0185914106841665e-05 | |
| 1526288976.758075 | 58 | 1.0616955478326418e-05 | |
| 1526288982.361276 | 59 | 1.1066237675549928e-05 | |
| 1526288987.259357 | 60 | 1.1534532859514002e-05 | |
| 1526288992.698623 | 61 | 1.2022644114040304e-05 | |
| 1526288998.1845 | 62 | 1.2531411812233273e-05 | |
| 1526289004.762984 | 63 | 1.306170906900661e-05 | |
| 1526289010.609118 | 64 | 1.3614447198051494e-05 | |
| 1526289016.298135 | 65 | 1.4190574802341871e-05 | |
| 1526289022.136151 | 66 | 1.4791084140597377e-05 | |
| 1526289027.242683 | 67 | 1.541700476082042e-05 | |
| 1526289032.6634738 | 68 | 1.6069412595243193e-05 | |
| 1526289037.6385942 | 69 | 1.6749429050832987e-05 | |
| 1526289040.067269 | 70 | 1.7458221918786876e-05 | |
| 1526289042.5243578 | 71 | 1.8197008103015833e-05 | |
| 1526289044.912818 | 72 | 1.8967059077112935e-05 | |
| 1526289047.161529 | 73 | 1.9769697246374562e-05 | |
| 1526289049.355628 | 74 | 2.0606299585779198e-05 | |
| 1526289051.529016 | 75 | 2.1478304915945046e-05 | |
| 1526289053.6327 | 76 | 2.238721208414063e-05 | |
| 1526289055.798468 | 77 | 2.3334579964284785e-05 | |
| 1526289057.9124842 | 78 | 2.4322040189872496e-05 | |
| 1526289060.066923 | 79 | 2.5351286240038462e-05 | |
| 1526289062.443139 | 80 | 2.6424087991472334e-05 | |
| 1526289064.6890082 | 81 | 2.75422862614505e-05 | |
| 1526289067.0454972 | 82 | 2.870780554076191e-05 | |
| 1526289069.164017 | 83 | 2.9922646717750467e-05 | |
| 1526289071.330273 | 84 | 3.1188894354272634e-05 | |
| 1526289073.3103821 | 85 | 3.2508731237612665e-05 | |
| 1526289075.786883 | 86 | 3.388441473362036e-05 | |
| 1526289078.096834 | 87 | 3.5318316804477945e-05 | |
| 1526289081.078109 | 88 | 3.681289672385901e-05 | |
| 1526289084.2365959 | 89 | 3.837072290480137e-05 | |
| 1526289086.997278 | 90 | 3.999447653768584e-05 | |
| 1526289089.4933 | 91 | 4.168693703832105e-05 | |
| 1526289092.1690009 | 92 | 4.3451022065710276e-05 | |
| 1526289094.5846138 | 93 | 4.528975841822103e-05 | |
| 1526289097.263641 | 94 | 4.7206303861457855e-05 | |
| 1526289099.9567559 | 95 | 4.9203954404219985e-05 | |
| 1526289102.7308109 | 96 | 5.12861370225437e-05 | |
| 1526289105.4011168 | 97 | 5.345643512555398e-05 | |
| 1526289107.8503811 | 98 | 5.571857400354929e-05 | |
| 1526289110.513442 | 99 | 5.8076442655874416e-05 | |
| 1526289112.7707222 | 100 | 6.053408651496284e-05 | |
| 1526289115.064936 | 101 | 6.30957365501672e-05 | |
| 1526289117.1724758 | 102 | 6.576578016392887e-05 | |
| 1526289119.333312 | 103 | 6.85488193994388e-05 | |
| 1526289121.6147158 | 104 | 7.144963456084952e-05 | |
| 1526289124.221442 | 105 | 7.447319512721151e-05 | |
| 1526289126.9071932 | 106 | 7.762471068417653e-05 | |
| 1526289128.991607 | 107 | 8.090958726825193e-05 | |
| 1526289131.297025 | 108 | 8.43334782985039e-05 | |
| 1526289133.606218 | 109 | 8.79022481967695e-05 | |
| 1526289135.914598 | 110 | 9.162205242319033e-05 | |
| 1526289137.94577 | 111 | 9.549925744067878e-05 | |
| 1526289140.313417 | 112 | 9.954054257832468e-05 | |
| 1526289142.509372 | 113 | 0.00010375284182373434 | |
| 1526289144.7825549 | 114 | 0.00010814339475473389 | |
| 1526289146.959672 | 115 | 0.00011271974653936923 | |
| 1526289149.043082 | 116 | 0.00011748975521186367 | |
| 1526289151.046514 | 117 | 0.00012246161350049078 | |
| 1526289153.1650019 | 118 | 0.00012764388520736247 | |
| 1526289155.169218 | 119 | 0.00013304543972481042 | |
| 1526289157.27568 | 120 | 0.00013867557572666556 | |
| 1526289159.388927 | 121 | 0.00014454397023655474 | |
| 1526289161.477579 | 122 | 0.00015066070773173124 | |
| 1526289163.671911 | 123 | 0.0001570362801430747 | |
| 1526289165.677155 | 124 | 0.00016368164506275207 | |
| 1526289167.838987 | 125 | 0.00017060824029613286 | |
| 1526289169.945921 | 126 | 0.00017782794020604342 | |
| 1526289172.0728068 | 127 | 0.00018535315757617354 | |
| 1526289173.9900758 | 128 | 0.00019319682905916125 | |
| 1526289176.147872 | 129 | 0.000201372429728508 | |
| 1526289178.223038 | 130 | 0.00020989398763049394 | |
| 1526289180.402576 | 131 | 0.00021877615654375404 | |
| 1526289182.440835 | 132 | 0.00022803420142736286 | |
| 1526289184.504252 | 133 | 0.000237684027524665 | |
| 1526289186.744719 | 134 | 0.00024774219491519034 | |
| 1526289188.869301 | 135 | 0.0002582260058261454 | |
| 1526289190.955637 | 136 | 0.00026915347552858293 | |
| 1526289193.010463 | 137 | 0.0002805433759931475 | |
| 1526289195.176824 | 138 | 0.00029241523589007556 | |
| 1526289197.252535 | 139 | 0.0003047894861083478 | |
| 1526289199.379467 | 140 | 0.000317687401548028 | |
| 1526289201.4758909 | 141 | 0.0003311311302240938 | |
| 1526289203.750178 | 142 | 0.00034514375147409737 | |
| 1526289205.925568 | 143 | 0.00035974933416582644 | |
| 1526289208.073439 | 144 | 0.00037497299490496516 | |
| 1526289210.1583092 | 145 | 0.00039084089803509414 | |
| 1526289212.2754402 | 146 | 0.0004073802847415209 | |
| 1526289214.4117708 | 147 | 0.00042461956036277115 | |
| 1526289216.528146 | 148 | 0.00044258838170208037 | |
| 1526289218.688097 | 149 | 0.0004613175697159022 | |
| 1526289220.8229382 | 150 | 0.0004808393423445523 | |
| 1526289222.961107 | 151 | 0.0005011872272007167 | |
| 1526289225.270468 | 152 | 0.0005223961779847741 | |
| 1526289227.456952 | 153 | 0.0005445026326924562 | |
| 1526289229.6686342 | 154 | 0.0005675446009263396 | |
| 1526289231.82516 | 155 | 0.0005915616056881845 | |
| 1526289233.941887 | 156 | 0.0006165949744172394 | |
| 1526289236.268022 | 157 | 0.0006426877225749195 | |
| 1526289238.478327 | 158 | 0.0006698846118524671 | |
| 1526289241.202942 | 159 | 0.0006982323830015957 | |
| 1526289243.6371908 | 160 | 0.000727779814042151 | |
| 1526289245.90015 | 161 | 0.0007585776038467884 | |
| 1526289248.263702 | 162 | 0.0007906786049716175 | |
| 1526289250.541625 | 163 | 0.0008241381146945059 | |
| 1526289252.823762 | 164 | 0.0008590135257691145 | |
| 1526289255.167361 | 165 | 0.000895364792086184 | |
| 1526289257.276381 | 166 | 0.0009332543122582138 | |
| 1526289259.4506261 | 167 | 0.0009727472206577659 | |
| 1526289261.7323132 | 168 | 0.0010139113292098045 | |
| 1526289264.107245 | 169 | 0.0010568174766376615 | |
| 1526289266.438537 | 170 | 0.001101539353840053 | |
| 1526289268.615807 | 171 | 0.0011481536785140634 | |
| 1526289270.738139 | 172 | 0.0011967405444011092 | |
| 1526289272.97404 | 173 | 0.0012473835377022624 | |
| 1526289275.311135 | 174 | 0.0013001696206629276 | |
| 1526289277.561305 | 175 | 0.0013551893644034863 | |
| 1526289279.707833 | 176 | 0.0014125375309959054 | |
| 1526289281.958095 | 177 | 0.0014723124913871288 | |
| 1526289284.182951 | 178 | 0.0015346170403063297 | |
| 1526289286.371795 | 179 | 0.0015995580470189452 | |
| 1526289288.7003388 | 180 | 0.0016672472702339292 | |
| 1526289290.8747 | 181 | 0.001737800776027143 | |
| 1526289293.101258 | 182 | 0.001811340101994574 | |
| 1526289295.341186 | 183 | 0.001887991325929761 | |
| 1526289298.0588539 | 184 | 0.0019678862299770117 | |
| 1526289300.390774 | 185 | 0.0020511620678007603 | |
| 1526289302.6979342 | 186 | 0.002137962030246854 | |
| 1526289304.998048 | 187 | 0.002228435128927231 | |
| 1526289307.1946912 | 188 | 0.002322736894711852 | |
| 1526289309.632668 | 189 | 0.002421029144898057 | |
| 1526289312.2699661 | 190 | 0.0025234806817024946 | |
| 1526289314.757309 | 191 | 0.0026302679907530546 | |
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