Box pruning revisited - part 14e - a bugfix and a reboot
Part 14e – a bugfix and a reboot
More than a year after version 14d, I finally come back to this project for a brief update.
So, basically, a year ago my office PC died, and it rendered half of the published timings obsolete and irrelevant. I got a replacement PC, with a more recent CPU and different features (AVX in particular). I thought I would pause the project for maybe a month (a lot of things ended up on my plate at work), but before I knew it a year had disappeared.
Oh well. That’s life. Especially when you have kids.
—
Another thing that happened is that I found a bug in version 14d. The code computing the box index in the bipartite case was wrong (off by one error). Since I had no validity test for the bipartite case, and because the reported number of pairs was correct, I did not notice that one for a while.
Right. So here is version 14e, which is pretty much the same as version 14d except:
- The bug has been fixed.
- A validity test for the bipartite case has been added.
- The bipartite case has been refactored to avoid duplicating the loop.
The bugfix has no impact on performance. We only tracked the performance of the “complete box pruning” codepath anyway.
What does have an impact on performance though, is the new PC. I had no choice but re-measure all versions on this new machine. The results are listed in Table 1.
While I was at it, I ran the same tests on my wife’s laptop at home. I should have tried that sooner: turns out her laptop is more advanced than my desktop PC – it has AVX, and it is much faster! The results for that laptop are listed in Table 2.
We only keep what we previously called “safe” versions now. We do not list the timings for the “unsafe” versions anymore. I also dropped the Delta and Speedup columns to make things easier.
New office PC – Intel i7-6850K |
Timings (K-Cycles) |
Overall X factor |
Version2 - base |
66245 |
1.0 |
Version3 – don’t trust the compiler |
65644 |
- |
Version4 - sentinels |
58706 |
- |
Version5 – hardcoding axes |
55560 |
- |
Version6a – data-oriented design |
46832 |
- |
Version6b – less cache misses |
39681 |
- |
Version7 – integer cmp |
36687 |
- |
Version8 – branchless overlap test |
23701 |
- |
Version9a - SIMD |
18758 |
- |
Version9b – better SIMD |
10065 |
- |
Version9c – data alignment |
10957 |
- |
Version10 – integer SIMD |
12352 |
- |
Version11 – the last branch |
11403 |
- |
Version12 - assembly |
7197 |
- |
Version13 – asm converted back to C++ |
8434 |
- |
Version14a – loop unrolling |
7511 |
- |
Version14b – Ryg unrolled assembly 1 |
5094 |
~13.00 |
Version14c – better unrolling |
5375 |
- |
Version14d – integer cmp 2 |
5452 |
~12.15 |
Table 1 – results for new office desktop PC
Home laptop – Intel i5-3210M |
Timings (K-Cycles) |
Overall X factor |
Version2 - base |
62324 |
1.0 |
Version3 – don’t trust the compiler |
59250 |
- |
Version4 - sentinels |
54368 |
- |
Version5 – hardcoding axes |
52196 |
- |
Version6a – data-oriented design |
43848 |
- |
Version6b – less cache misses |
37755 |
- |
Version7 – integer cmp |
36746 |
- |
Version8 – branchless overlap test |
28206 |
- |
Version9a - SIMD |
22693 |
- |
Version9b – better SIMD |
11351 |
- |
Version9c – data alignment |
11221 |
- |
Version10 – integer SIMD |
11110 |
- |
Version11 – the last branch |
10871 |
- |
Version12 - assembly |
9268 |
- |
Version13 – asm converted back to C++ |
9248 |
- |
Version14a – loop unrolling |
9009 |
- |
Version14b – Ryg unrolled assembly 1 |
5040 |
~12.36 |
Version14c – better unrolling |
5301 |
- |
Version14d – integer cmp 2 |
5011 |
~12.43 |
Table 2 – results for home laptop
We can see that the new machines are faster overall than the ones we used before, but overall the results are pretty similar to what we previously saw.
What we learnt:
A bug can remain invisible for a year, even when the code is public on GitHub. I guess nobody tried to use it.
Time passes way too quickly.
We are back on track.
May 2nd, 2018 at 11:57 pm
I am so happy to see this series resume! I’d made my way to the last “Don’t panic, but there is still a lot to do” line from the previous entry a few dozen times now. This new post is a welcome surprise.
And you’re not kidding about the way kids have a tendency to compound delays!