The following PR tightens performance of parallel muhash reduction by adding a special condition within the inner U3072::mul. Results suggest that using multiple threads strongly scales now, as oppose to prior to this change where much of the gain was countered by the increased number of inner mul ops.
The optimization is to short-circuit and self assign other (RHS) when LHS is one. This case is especially frequent during parallel reduce operation where the identity (one) is used for each sub-computation (at the LHS).
Benchmarking muhash txs/muhash seq: Warming up for 3.0000 s
Warning: Unable to complete 100 samples in 5.0s. You may wish to increase target time to 9.0s, enable flat sampling, or reduce sample count to 50.
muhash txs/muhash seq time: [1.7592 ms 1.7634 ms 1.7676 ms]
change: [+0.5061% +0.8974% +1.2930%] (p = 0.00 < 0.05)
Change within noise threshold.
Found 3 outliers among 100 measurements (3.00%)
3 (3.00%) high mild
muhash txs/muhash par 8 time: [478.03 µs 479.56 µs 480.95 µs]
change: [+0.3087% +0.7933% +1.2579%] (p = 0.00 < 0.05)
Change within noise threshold.
Found 1 outliers among 100 measurements (1.00%)
1 (1.00%) low mild
muhash txs/muhash par 16
time: [394.97 µs 397.13 µs 399.10 µs]
change: [-0.9620% -0.0286% +0.8966%] (p = 0.95 > 0.05)
No change in performance detected.
Found 3 outliers among 100 measurements (3.00%)
2 (2.00%) low mild
1 (1.00%) high mild
muhash txs/muhash par 32
time: [476.49 µs 486.11 µs 497.24 µs]
change: [-3.0751% -0.5378% +2.0900%] (p = 0.69 > 0.05)
No change in performance detected.
Found 5 outliers among 100 measurements (5.00%)
2 (2.00%) high mild
3 (3.00%) high severe
and after:
Benchmarking muhash txs/muhash seq: Warming up for 3.0000 s
Warning: Unable to complete 100 samples in 5.0s. You may wish to increase target time to 8.8s, enable flat sampling, or reduce sample count to 50.
muhash txs/muhash seq time: [1.7494 ms 1.7541 ms 1.7584 ms]
change: [-1.5057% -1.1099% -0.7332%] (p = 0.00 < 0.05)
Change within noise threshold.
Found 5 outliers among 100 measurements (5.00%)
4 (4.00%) high mild
1 (1.00%) high severe
muhash txs/muhash par 8 time: [334.88 µs 335.69 µs 336.46 µs]
change: [-29.835% -29.499% -29.127%] (p = 0.00 < 0.05)
Performance has improved.
Found 6 outliers among 100 measurements (6.00%)
1 (1.00%) low mild
3 (3.00%) high mild
2 (2.00%) high severe
muhash txs/muhash par 16
time: [287.39 µs 288.74 µs 290.02 µs]
change: [-27.467% -26.816% -26.179%] (p = 0.00 < 0.05)
Performance has improved.
Found 14 outliers among 100 measurements (14.00%)
7 (7.00%) low mild
6 (6.00%) high mild
1 (1.00%) high severe
muhash txs/muhash par 32
time: [358.20 µs 361.12 µs 364.06 µs]
change: [-25.664% -24.294% -22.887%] (p = 0.00 < 0.05)
Performance has improved.
Found 7 outliers among 100 measurements (7.00%)
5 (5.00%) high mild
2 (2.00%) high severe
The following PR tightens performance of parallel muhash reduction by adding a special condition within the inner
U3072::mul
. Results suggest that using multiple threads strongly scales now, as oppose to prior to this change where much of the gain was countered by the increased number of inner mul ops.The optimization is to short-circuit and self assign
other
(RHS) when LHS is one. This case is especially frequent during parallel reduce operation where the identity (one) is used for each sub-computation (at the LHS).Benchmarks before 09d6679:
and after: