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@kyscg
Created July 13, 2023 14:47
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Faster Factorial Approximations
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{
"cells": [
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"attachments": {},
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"source": [
"# Fast Factorials\n",
"\n",
"See discussion on [Twitter](https://twitter.com/kyscg7/status/1675279867301036034), [Mathstodon](https://mathstodon.xyz/@kyscg/110648413495323571).\n",
"\n",
"---\n",
"\n",
"I read recently about speeding up factorial computation (think so many repeated multiplications for larger numbers, and more??) and wondered if reframing factorials as exponentiation would speed up computation because we have fast exponentiation algorithms. So for a number $n,$ we want a base $b$ such that $$n!=b^n.$$ This means we can find $b$ by $$b=\\exp\\left({\\frac{\\ln{n!}}{n}}\\right).$$\n",
"\n",
"## Other methods to compare against\n",
"\n",
"1. Taking the antilog of the `lgamma()` function. Although I'm not sure how this is being implemented under the hood. However, for large numbers, the gamma value can be significantly faster to compute than the factorial. This is because the gamma function is a continuous function, while the factorial function is a discrete function. This means that the gamma function can be approximated using a series, which can be evaluated much faster than the factorial function. $$\\Gamma(z)=∫_0^∞t^{z-1}e^{-t}dt.$$ This matches the factorial function for whole numbers $$Γ(n)=(n-1)!.$$\n",
"\n",
"2. Stirling's Approximation. The overall effect of Stirling's approximation is to approximate the factorial of a large number as a product of three terms: a constant term, a term that grows exponentially, and a term that decays exponentially. The constant term ensures that the approximation is accurate for small values of $n.$ The term that grows exponentially ensures that the approximation is accurate for large values of $n.$ The term that decays exponentially ensures that the approximation does not become too large for very large values of $n.$ $$n! \\approx n^n e^{-n} \\sqrt{n} \\sqrt{2π}$$\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "4hvqO0Z-GrTw"
},
"outputs": [],
"source": [
"import math\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "ZSEC0mSmGpeJ"
},
"outputs": [],
"source": [
"def findBase(n):\n",
" \"\"\"\n",
" b = e^(ln(n!)/n)\n",
" \"\"\"\n",
" return math.exp(math.lgamma(n + 1)/n)\n",
"\n",
"\n",
"def findExponent(b, n):\n",
" \"\"\"\n",
" b^n\n",
" \"\"\"\n",
" return b**n\n",
"\n",
"\n",
"def expGamma(n):\n",
" \"\"\"\n",
" exp(ln n!)\n",
" \"\"\"\n",
" return math.exp(math.lgamma(n + 1))\n",
"\n",
"def stirling(n):\n",
" \"\"\"\n",
" n! = sqrt(2 pi n) (n/e)^n\n",
" \"\"\"\n",
" return math.sqrt(2 * math.pi * n) * (n / math.e)**n"
]
},
{
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"cell_type": "markdown",
"metadata": {
"id": "NOuWpdk0kSkY"
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"source": [
"## Comparison (Running Time)\n",
"\n",
"### Log\n",
"![image.png](data:image/png;base64,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)\n",
"- something that is interested to me is the behaviour between 50 and 75, all three curves are doing something weird in that range. (This was when I hadn't plotted the Stirling Approximation curve yet)\n",
"> I have a feeling this might be related to the CPU cache or memory management, as in after 50, the pre assigned memory from the OS is completely consumed, or the cache buffers in the CPU are full and bits have to be pulled and pushed to memory, a simple way to prove or disprove this would be to run the same code on a different machine and see if the 50-75 band shifts.\n",
">\n",
"> ~ Suggestion from [Vijay](https://github.com/VijayKM01)!\n",
"\n",
"- I could never replicate this again, not on the same machine, not on a different one. 😞"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "sK1z7slOHq6F"
},
"outputs": [],
"source": [
"timesf = []\n",
"timese = []\n",
"timesg = []\n",
"timess = []\n",
"for n in range(1, 171):\n",
" t1 = %timeit -o math.factorial(n)\n",
" t2 = %timeit -o findExponent(findBase(n), n)\n",
" t3 = %timeit -o expGamma(n)\n",
" t4 = %timeit -o stirling(n)\n",
" timesf.append(t1.average)\n",
" timese.append(t2.average)\n",
" timesg.append(t3.average)\n",
" timess.append(t4.average)\n",
" print(n, t1.average, t2.average, t3.average, t4.average)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 872
},
"id": "ZvGV46J_Htfz",
"outputId": "8fc9a49f-f7d9-4b39-831e-f4bc800a7188"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1500x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,10))\n",
"plt.plot(timesf, label=\"True Factorial\")\n",
"plt.plot(timese, label=\"Exponentiation\")\n",
"plt.plot(timesg, label=\"Antilog Gamma\")\n",
"plt.plot(timess, label=\"Stirling's Approximation\")\n",
"plt.legend()\n",
"plt.xlabel(\"n\")\n",
"plt.ylabel(\"Time (s)\")\n",
"plt.title(\"Running time comparison\")\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "ebxFsPkNTxvX"
},
"source": [
"## Comparison (Accuracy)\n",
"\n",
"I'm using the ratio of the true factorial to all the three methods to check the accuracy of the methods. It is well known that in the limit as $n→∞,$ the limit of the ratio for Stirling's approximation goes to $1.$ So, I'm only plotting the values of the Exponentiation method and the antilog method.\n",
"\n",
"We see a tendency for the ratio to balloon around $1,$ but the precision is still in the order of $10^{-13}$ so I'm not sure what to make of this in the actual theoretical limits as $n→∞.$\n",
"\n",
"Something that's interesting is the absolute error value too, even though the ratio stays at $1,$ the error absolutely blows up. I'm not logging it here, but it shouldn't be too hard to change the code to show the error instead of the ratio."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "za4aHRH7NI5g"
},
"outputs": [],
"source": [
"errorse = []\n",
"errorsg = []\n",
"errorss = []\n",
"for n in range(1, 171):\n",
" trueFactorial = math.factorial(n)\n",
" expFactorial = findExponent(findBase(n), n)\n",
" expGammaFactorial = expGamma(n)\n",
" stirlingFactorial = stirling(n)\n",
" errorse.append(trueFactorial / expFactorial)\n",
" errorsg.append(trueFactorial / expGammaFactorial)\n",
" errorss.append(trueFactorial / stirlingFactorial)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"id": "HVg86TwvSNfy",
"outputId": "74d26d92-8b6f-46c6-848e-5ec5f4a4f1d4"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(errorse, label=\"Exponentiation\")\n",
"plt.plot(errorsg, label=\"Antilog Gamma\")\n",
"plt.legend()\n",
"plt.xlabel(\"n\")\n",
"plt.ylabel(\"Ratio of n! to approximation\")\n",
"plt.title(\"Error comparison\")\n",
"plt.show()"
]
}
],
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
},
"language_info": {
"name": "python"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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