Question:
I\'ve profiled my Python program to death, and there is one function that is slowing everything down. It uses Python dictionaries heavily, so
I don't see anything wrong with your code regarding performance (without trying to grok the algorithm), you are just getting hit by the big number of iterations. Parts of your code get executed 40 million times!
Notice how 80% of the time is spent in 20% of your code - and those are the 13 lines that get executed 24+ million times. By the way with this code you provide great illustration to the Pareto principle (or "20% of beer drinkers drink 80% of the beer").
First things first: have you tried Psycho? It's a JIT compiler that can greatly speed up your code - considering the big number of iterations - say by a factor of 4x-5x - and all you have to do (after downloading and installing, of course) is to insert this snippet in the beginning:
import psyco
psyco.full()
This is why i liked Psycho and used it in GCJ too, where time is of essence - nothing to code, nothing to get wrong and sudden boost from 2 lines added.
Back to nit-picking (which changes like replacing ==
with is
etc is, because of the small % time improvement). Here they are the 13 lines "at fault":
Line # Hits Time Per Hit % Time Line Contents
412 42350234 197075504439 4653.5 8.1 for node_c, (distance_b_c, node_after_b) in node_b_distances.items(): # Can't use iteritems() here, as deleting from the dictionary
386 42076729 184216680432 4378.1 7.6 for node_c, (distance_a_c, node_after_a) in self.node_distances[node_a].iteritems():
362 41756882 183992040153 4406.3 7.6 for node_c, (distance_b_c, node_after_b) in node_b_distances.iteritems(): # Think it's ok to modify items while iterating over them (just not insert/delete) (seems to work ok)
413 41838114 180297579789 4309.4 7.4 if(distance_b_c > cutoff_distance):
363 41244762 172425596985 4180.5 7.1 if(node_after_b == node_a):
389 41564609 172040284089 4139.1 7.1 if(node_c == node_b): # a-b path
388 41564609 171150289218 4117.7 7.1 node_b_update = False
391 41052489 169406668962 4126.6 7 elif(node_after_a == node_b): # a-b-a-b path
405 41564609 164585250189 3959.7 6.8 if node_b_update:
394 24004846 103404357180 4307.6 4.3 (distance_b_c, node_after_b) = node_b_distances[node_c]
395 24004846 102717271836 4279 4.2 if(node_after_b != node_a): # b doesn't already go to a first
393 24801082 101577038778 4095.7 4.2 elif(node_c in node_b_distances): # b can already get to c
A) Besides the lines you mention, i notice that #388 has relatively high time when it is trivial, all it does it node_b_update = False
. Oh but wait - each time it gets executed, False
gets looked up in the global scope! To avoid that, assign F, T = False, True
in th e beginning of the method and replace later uses of False
and True
with locals F
and T
. This should decrease overall time, although by little (3%?).
B) I notice that the condition in #389 occurred "only" 512,120 times (based on number of executions of #390) vs the condition in #391 with 16,251,407. Since there is no dependency, it makes sense to reverse the order of those checks - because of the early "cut" that should give little boost (2%?). I am not sure if avoiding pass
statements altogether will help but if it does not hurt readability:
if (node_after_a is not node_b) and (node_c is not node_b):
# neither a-b-a-b nor a-b path
if (node_c in node_b_distances): # b can already get to c
(distance_b_c, node_after_b) = node_b_distances[node_c]
if (node_after_b is not node_a): # b doesn't already go to a first
distance_b_a_c = neighbour_distance_b_a + distance_a_c
if (distance_b_a_c < distance_b_c): # quicker to go via a
node_b_update = T
else: # b can't already get to c
distance_b_a_c = neighbour_distance_b_a + distance_a_c
if (distance_b_a_c < cutoff_distance): # not too for to go
node_b_update = T
C) I just noticed you are using try-except
in a case (#365-367) you just need default value from a dictionary - try using instead .get(key, defaultVal)
or create your dictionaries with collections.defaultdict(itertools.repeat(float('+inf')))
. Using try-except has it's price - see #365 reports 3.5% of the time, that's setting up stack frames and whatnot.
D) Avoid indexed access (be it with obj.
field or obj[
idx]
) when possible. For example i see you use self.node_distances[node_a]
in multiple places (#336, 339, 346, 366, 386), which means for every use indexing is used twice (once for .
and once for []
) - and that gets expensive when executed tens of millions of times. Seems to me you can just do at the method beginning node_a_distances = self.node_distances[node_a]
and then use that further.