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@nschloe
Created May 13, 2021 07:53
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Monte Carlo test
import math
import numpy as np
import perfplot
import random
def plain_loop(n):
inside = 0
random.seed()
for _ in range(n):
a = random.random()
b = random.random()
c = math.pow(a, 2.0) + math.pow(b, 2.0)
if c <= 1.0:
inside += 1
return inside
def plain_loop2(n):
inside = 0
random.seed()
for _ in range(n):
a = random.random()
b = random.random()
c = a * a + b * b
if c <= 1.0:
inside += 1
return inside
def numpy(n):
rng = np.random.default_rng(0)
a, b = rng.random((2, n))
c = a * a + b * b
inside = np.sum(c <= 1.0)
return inside
def numpy2(n):
rng = np.random.default_rng(0)
p = rng.random((2, n))
c = np.einsum("ij,ij->j", p, p)
return np.sum(c <= 1.0)
b = perfplot.bench(
setup=lambda n: n,
kernels=[plain_loop, plain_loop2, numpy, numpy2],
n_range=[2**k for k in range(3, 23)],
equality_check=None
)
b.save("out.png")
b.show()
@nschloe
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nschloe commented May 17, 2021

It was more to show that naively written Rust already brings a lot of performance gain, way more than achievable optimising Python code only - meaning the effort trying to improve Python code might as well be used to rewrite it in a systems programming language that is easy to use - Rust.

Of course the slowest possible solution in Python is slower than a not-so-fleshed-out solution in Rust, simply because Rust is compiled and Python isn't. You wouldn't do that in Python though, you'd use NumPy. That's the default, not some obscure rewrite or so. Quite the contrary, using pure Python is unusual. That's why I find it inappropriate trying to compare pure Python with pure Rust.

I mentioned in the comment (no idea why it was deleted) that there are problems which cannot be vectorized, for example solutions of first-order ODEs. My suggestion is to use those as examples next time you compare Python and Rust.

@mike-kfed
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Of course the slowest possible solution in Python is slower than a not-so-fleshed-out solution in Rust,

True but I cannot write naive Rust and use a sophisticated numerical library in Python for comparison either (plus it is easier to use just python without a venv in the demos) - this wasn't meant to be a real benchmark in the first place and the speed difference is orders of magnitude, no matter which python code is used - which is why I never bothered to optimise.

I mentioned in the comment (no idea why it was deleted) that there are problems which cannot be vectorized, for example solutions of first-order ODEs. My suggestion is to use those as examples next time you compare Python and Rust.

Good idea for a real world speed comparison, not sure it makes sense though to do that on youtube as Python and Rust both have fast development cycles rendering the video useless in a matter of weeks/months.
Why the youtube comment disappeared I don't know, I haven't touched anything, I just kept the email to respond to you later when I have time (I have moved to a new apartment) - maybe auto-delete because you had a link in your comment (antispam measure)?

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