range() vs xrange() Python2|3 issues for performance

Chris Angelico rosuav at gmail.com
Tue Aug 2 12:19:53 CEST 2011

On Tue, Aug 2, 2011 at 10:05 AM, Peter Otten <__peter__ at web.de> wrote:
> i/2 returns a float in Python 3; you should use i//2 for consistency.

And I forgot to make this change before doing my tests. Redoing the
Python 3 ones with // quite drastically changes things!

3.2 (r32:88445, Feb 20 2011, 21:29:02) [MSC v.1500 32 bit (Intel)]
Time: 17.917331

That's a lot closer to the 10-14 seconds that Python 2 was doing, but
still somewhat worse. Of course, no surprises that 2.6 is faster than

But now, here's a fairly small change that makes a LOT of difference,
and reveals the value of range/xrange. Notice that m is just being a
classic iteration counter (it starts at 1, increments to a top

       for m in xrange(1,i//2+1):
           if not i%m:
               s += m

This brings 2.6.5 down to 5.359383 seconds, or 4.703364 with xrange.
(I'm now changing two references from range to xrange.) Meanwhile, 3.2
has come down to 7.096237 seconds, and 2.4.5 to 8.222261.

Comparing the latest 3.3a0 and 2.6.6 on the other box shows that
there's still a difference. Both of them improve with range instead of
manual incrementing, but 2.6.6 takes 6.950000 seconds and 3.3a0 takes
13.830000 (down from 13.730000 and 34.390000 in the previous test).

Conclusion: Python 3 is notably slower comparing floating point and
integer than Python 2 is comparing int and int. No surprises there!
But get everything working with integers, and use range() instead of
manually incrementing a variable, and things come much more even.

But as I said, CPython isn't the ideal language for heavy number
crunching. On the same Windows box, a Pike program using the same
algorithm took only 2.055 seconds. And a C program took 0.328 seconds.
But if you have other reasons for keeping it in Python, do keep it to


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