perf: small scalarmul

[ivokub]

Description

This PR implements switching scalar multiplication to windowed method when scalars are small (according to some heuristic).

Fixes #702

g1-method-stat.txt
g2-method-stat.txt

Type of change

Please delete options that are not relevant.

• New feature (non-breaking change which adds functionality)

How has this been tested?

Scalar multiplication consistency has already been checked before using gopter.

How has this been benchmarked?

G1

goos: linux
goarch: amd64
pkg: github.com/consensys/gnark-crypto/ecc/bls12-377
cpu: AMD Ryzen 9 7940HS w/ Radeon 780M Graphics     
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         19387.0n ± 1%   655.2n ± 6%  -96.62% (p=0.002 n=6)
8          20.355µ ± 2%   2.468µ ± 1%  -87.88% (p=0.002 n=6)
16         21.205µ ± 1%   7.126µ ± 0%  -66.39% (p=0.002 n=6)
24         22.812µ ± 0%   9.316µ ± 1%  -59.16% (p=0.002 n=6)
32          23.74µ ± 1%   12.37µ ± 1%  -47.90% (p=0.002 n=6)
40          26.18µ ± 0%   15.80µ ± 0%  -39.65% (p=0.002 n=6)
48          26.61µ ± 1%   19.21µ ± 0%  -27.81% (p=0.002 n=6)
56          27.59µ ± 0%   21.81µ ± 0%  -20.93% (p=0.002 n=6)
64          29.25µ ± 0%   23.68µ ± 0%  -19.03% (p=0.002 n=6)
72          45.14µ ± 0%   26.73µ ± 0%  -40.78% (p=0.002 n=6)
80          45.96µ ± 1%   30.12µ ± 0%  -34.47% (p=0.002 n=6)
88          48.92µ ± 0%   34.11µ ± 0%  -30.27% (p=0.002 n=6)
96          49.90µ ± 1%   36.22µ ± 0%  -27.40% (p=0.002 n=6)
104         50.16µ ± 1%   37.63µ ± 0%  -24.98% (p=0.002 n=6)
112         49.37µ ± 1%   43.48µ ± 1%  -11.93% (p=0.002 n=6)
120         53.09µ ± 1%   43.64µ ± 0%  -17.81% (p=0.002 n=6)
128         52.25µ ± 1%   50.38µ ± 0%   -3.58% (p=0.002 n=6)
136         54.06µ ± 0%   51.46µ ± 1%   -4.81% (p=0.002 n=6)
144         53.32µ ± 0%   52.07µ ± 1%   -2.36% (p=0.002 n=6)
152         54.84µ ± 0%   54.78µ ± 0%        ~ (p=0.221 n=6)
160         52.51µ ± 1%   54.54µ ± 1%   +3.86% (p=0.002 n=6)
168         58.24µ ± 0%   53.75µ ± 0%   -7.72% (p=0.002 n=6)
176         54.13µ ± 0%   56.57µ ± 1%   +4.50% (p=0.002 n=6)
184         56.95µ ± 1%   57.85µ ± 1%   +1.58% (p=0.002 n=6)
192         55.35µ ± 1%   55.46µ ± 1%        ~ (p=0.240 n=6)
200         56.73µ ± 1%   56.29µ ± 0%   -0.78% (p=0.002 n=6)
208         57.00µ ± 0%   57.46µ ± 1%   +0.80% (p=0.002 n=6)
216         54.96µ ± 0%   57.13µ ± 0%   +3.96% (p=0.002 n=6)
224         56.27µ ± 1%   56.85µ ± 1%   +1.03% (p=0.004 n=6)
232         57.83µ ± 0%   56.64µ ± 1%   -2.05% (p=0.002 n=6)
240         59.08µ ± 0%   58.09µ ± 1%   -1.68% (p=0.002 n=6)
248         59.07µ ± 0%   58.00µ ± 0%   -1.81% (p=0.002 n=6)
geomean     42.69µ        29.57µ       -30.73%

pkg: github.com/consensys/gnark-crypto/ecc/bls12-381
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         19823.5n ± 1%   661.1n ± 0%  -96.67% (p=0.002 n=6)
8          21.224µ ± 0%   3.317µ ± 0%  -84.37% (p=0.002 n=6)
16         21.217µ ± 0%   5.511µ ± 0%  -74.03% (p=0.002 n=6)
24         23.590µ ± 1%   9.374µ ± 0%  -60.26% (p=0.002 n=6)
32          24.02µ ± 0%   12.80µ ± 1%  -46.74% (p=0.002 n=6)
40          25.27µ ± 1%   14.66µ ± 1%  -41.97% (p=0.002 n=6)
48          26.05µ ± 1%   17.62µ ± 1%  -32.36% (p=0.002 n=6)
56          28.53µ ± 1%   21.45µ ± 0%  -24.83% (p=0.002 n=6)
64          28.47µ ± 0%   23.25µ ± 0%  -18.35% (p=0.002 n=6)
72          46.41µ ± 0%   27.93µ ± 0%  -39.82% (p=0.002 n=6)
80          46.74µ ± 1%   30.50µ ± 1%  -34.73% (p=0.002 n=6)
88          48.00µ ± 0%   33.15µ ± 0%  -30.93% (p=0.002 n=6)
96          49.75µ ± 1%   38.62µ ± 0%  -22.36% (p=0.002 n=6)
104         48.41µ ± 0%   40.01µ ± 0%  -17.35% (p=0.002 n=6)
112         50.93µ ± 0%   41.40µ ± 1%  -18.73% (p=0.002 n=6)
120         51.25µ ± 0%   46.90µ ± 0%   -8.48% (p=0.002 n=6)
128         55.76µ ± 0%   50.42µ ± 1%   -9.58% (p=0.002 n=6)
136         54.83µ ± 1%   53.75µ ± 0%   -1.97% (p=0.002 n=6)
144         55.69µ ± 2%   54.32µ ± 0%   -2.46% (p=0.002 n=6)
152         54.58µ ± 0%   56.33µ ± 0%   +3.22% (p=0.002 n=6)
160         54.16µ ± 0%   55.38µ ± 0%   +2.24% (p=0.002 n=6)
168         56.22µ ± 0%   55.82µ ± 0%   -0.72% (p=0.002 n=6)
176         56.27µ ± 0%   55.02µ ± 1%   -2.22% (p=0.002 n=6)
184         54.87µ ± 0%   56.17µ ± 0%   +2.38% (p=0.002 n=6)
192         57.19µ ± 0%   55.88µ ± 0%   -2.28% (p=0.002 n=6)
200         56.52µ ± 0%   56.43µ ± 0%        ~ (p=0.240 n=6)
208         57.59µ ± 0%   58.46µ ± 0%   +1.51% (p=0.002 n=6)
216         57.09µ ± 0%   57.55µ ± 0%   +0.81% (p=0.002 n=6)
224         57.58µ ± 0%   57.58µ ± 1%        ~ (p=0.554 n=6)
232         57.17µ ± 1%   59.21µ ± 0%   +3.57% (p=0.002 n=6)
240         58.45µ ± 0%   58.39µ ± 0%        ~ (p=0.180 n=6)
248         58.10µ ± 0%   58.78µ ± 1%   +1.18% (p=0.002 n=6)
geomean     42.98µ        29.84µ       -30.58%

pkg: github.com/consensys/gnark-crypto/ecc/bls24-315
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         15535.0n ± 1%   521.4n ± 0%  -96.64% (p=0.002 n=6)
8          16.767µ ± 0%   2.931µ ± 0%  -82.52% (p=0.002 n=6)
16         17.058µ ± 0%   4.657µ ± 1%  -72.70% (p=0.002 n=6)
24         18.636µ ± 1%   7.044µ ± 0%  -62.20% (p=0.002 n=6)
32          19.55µ ± 1%   10.71µ ± 0%  -45.23% (p=0.002 n=6)
40          18.96µ ± 0%   12.44µ ± 0%  -34.41% (p=0.002 n=6)
48          21.48µ ± 0%   14.14µ ± 0%  -34.16% (p=0.002 n=6)
56          20.51µ ± 1%   16.79µ ± 0%  -18.13% (p=0.002 n=6)
64          23.31µ ± 0%   18.25µ ± 0%  -21.71% (p=0.002 n=6)
72          36.31µ ± 1%   21.91µ ± 1%  -39.66% (p=0.002 n=6)
80          37.12µ ± 0%   23.37µ ± 0%  -37.04% (p=0.002 n=6)
88          38.19µ ± 1%   25.37µ ± 0%  -33.56% (p=0.002 n=6)
96          36.85µ ± 0%   28.34µ ± 0%  -23.10% (p=0.002 n=6)
104         40.04µ ± 0%   31.38µ ± 1%  -21.65% (p=0.002 n=6)
112         39.91µ ± 1%   33.38µ ± 0%  -16.35% (p=0.002 n=6)
120         40.27µ ± 0%   36.76µ ± 0%   -8.73% (p=0.002 n=6)
128         42.80µ ± 0%   35.33µ ± 1%  -17.47% (p=0.002 n=6)
136         42.55µ ± 1%   41.52µ ± 0%   -2.40% (p=0.002 n=6)
144         42.15µ ± 0%   40.33µ ± 0%   -4.31% (p=0.002 n=6)
152         42.21µ ± 0%   44.19µ ± 0%   +4.68% (p=0.002 n=6)
160         41.81µ ± 0%   42.28µ ± 0%   +1.11% (p=0.002 n=6)
168         42.16µ ± 0%   43.51µ ± 0%   +3.20% (p=0.002 n=6)
176         42.47µ ± 0%   43.89µ ± 0%   +3.33% (p=0.002 n=6)
184         44.51µ ± 1%   43.21µ ± 0%   -2.91% (p=0.002 n=6)
192         43.90µ ± 0%   44.85µ ± 0%   +2.15% (p=0.002 n=6)
200         44.78µ ± 1%   44.15µ ± 0%   -1.39% (p=0.002 n=6)
208         44.29µ ± 0%   44.47µ ± 0%   +0.41% (p=0.009 n=6)
216         45.49µ ± 0%   43.24µ ± 0%   -4.93% (p=0.002 n=6)
224         44.49µ ± 0%   44.96µ ± 1%   +1.06% (p=0.002 n=6)
232         45.23µ ± 1%   44.88µ ± 0%   -0.77% (p=0.002 n=6)
240         45.09µ ± 0%   46.20µ ± 0%   +2.45% (p=0.002 n=6)
248         46.37µ ± 0%   45.79µ ± 0%   -1.24% (p=0.002 n=6)
geomean     33.59µ        23.35µ       -30.50%

pkg: github.com/consensys/gnark-crypto/ecc/bls24-317
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         15299.0n ± 0%   521.9n ± 0%  -96.59% (p=0.002 n=6)
8          16.090µ ± 0%   1.951µ ± 0%  -87.87% (p=0.002 n=6)
16         17.067µ ± 0%   4.648µ ± 0%  -72.76% (p=0.002 n=6)
24         17.722µ ± 0%   6.708µ ± 1%  -62.15% (p=0.002 n=6)
32         18.429µ ± 1%   9.699µ ± 0%  -47.37% (p=0.002 n=6)
40          19.36µ ± 0%   11.12µ ± 0%  -42.57% (p=0.002 n=6)
48          20.67µ ± 0%   13.20µ ± 0%  -36.15% (p=0.002 n=6)
56          21.35µ ± 0%   16.83µ ± 1%  -21.16% (p=0.002 n=6)
64          22.69µ ± 0%   17.34µ ± 1%  -23.56% (p=0.002 n=6)
72          35.63µ ± 0%   21.32µ ± 0%  -40.17% (p=0.002 n=6)
80          35.93µ ± 0%   25.56µ ± 1%  -28.87% (p=0.002 n=6)
88          39.26µ ± 1%   26.97µ ± 0%  -31.31% (p=0.002 n=6)
96          37.56µ ± 0%   28.07µ ± 0%  -25.25% (p=0.002 n=6)
104         38.91µ ± 0%   29.52µ ± 1%  -24.13% (p=0.002 n=6)
112         40.92µ ± 0%   34.78µ ± 1%  -15.00% (p=0.002 n=6)
120         42.80µ ± 0%   36.51µ ± 0%  -14.69% (p=0.002 n=6)
128         43.44µ ± 0%   38.52µ ± 0%  -11.33% (p=0.002 n=6)
136         41.35µ ± 1%   39.94µ ± 1%   -3.40% (p=0.002 n=6)
144         41.57µ ± 1%   41.77µ ± 0%   +0.47% (p=0.041 n=6)
152         41.20µ ± 0%   42.00µ ± 0%   +1.95% (p=0.002 n=6)
160         41.94µ ± 0%   42.88µ ± 0%   +2.24% (p=0.002 n=6)
168         43.47µ ± 0%   41.64µ ± 0%   -4.22% (p=0.002 n=6)
176         44.10µ ± 0%   44.29µ ± 0%   +0.44% (p=0.002 n=6)
184         44.51µ ± 1%   43.62µ ± 1%   -2.00% (p=0.002 n=6)
192         44.05µ ± 0%   44.60µ ± 1%   +1.25% (p=0.002 n=6)
200         42.90µ ± 0%   47.13µ ± 0%   +9.86% (p=0.002 n=6)
208         44.10µ ± 0%   44.49µ ± 0%   +0.87% (p=0.002 n=6)
216         44.45µ ± 0%   46.13µ ± 0%   +3.79% (p=0.002 n=6)
224         45.73µ ± 0%   44.90µ ± 0%   -1.81% (p=0.002 n=6)
232         45.06µ ± 1%   45.88µ ± 0%   +1.83% (p=0.002 n=6)
240         44.08µ ± 1%   46.82µ ± 0%   +6.23% (p=0.002 n=6)
248         46.47µ ± 0%   46.16µ ± 0%   -0.67% (p=0.002 n=6)
geomean     33.42µ        22.98µ       -31.25%

pkg: github.com/consensys/gnark-crypto/ecc/bn254
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         10963.0n ± 0%   365.1n ± 1%  -96.67% (p=0.002 n=6)
8          11.593µ ± 0%   1.385µ ± 0%  -88.05% (p=0.002 n=6)
16         11.813µ ± 0%   3.337µ ± 1%  -71.75% (p=0.002 n=6)
24         13.206µ ± 0%   5.264µ ± 0%  -60.14% (p=0.002 n=6)
32         13.710µ ± 2%   6.480µ ± 1%  -52.73% (p=0.002 n=6)
40         14.130µ ± 0%   8.899µ ± 0%  -37.02% (p=0.002 n=6)
48          15.79µ ± 0%   10.57µ ± 0%  -33.09% (p=0.002 n=6)
56          15.80µ ± 0%   11.15µ ± 0%  -29.42% (p=0.002 n=6)
64          16.52µ ± 0%   14.02µ ± 0%  -15.11% (p=0.002 n=6)
72          24.90µ ± 0%   14.72µ ± 0%  -40.86% (p=0.002 n=6)
80          26.69µ ± 0%   16.92µ ± 1%  -36.60% (p=0.002 n=6)
88          27.41µ ± 2%   17.93µ ± 0%  -34.58% (p=0.002 n=6)
96          28.74µ ± 0%   21.05µ ± 1%  -26.76% (p=0.002 n=6)
104         27.15µ ± 1%   22.21µ ± 1%  -18.20% (p=0.002 n=6)
112         29.64µ ± 0%   23.07µ ± 0%  -22.18% (p=0.002 n=6)
120         30.09µ ± 0%   23.77µ ± 0%  -21.02% (p=0.002 n=6)
128         30.86µ ± 0%   27.17µ ± 0%  -11.97% (p=0.002 n=6)
136         31.22µ ± 0%   29.96µ ± 0%   -4.05% (p=0.002 n=6)
144         32.35µ ± 2%   32.48µ ± 1%        ~ (p=0.180 n=6)
152         33.04µ ± 0%   32.89µ ± 2%        ~ (p=0.065 n=6)
160         31.50µ ± 0%   32.87µ ± 0%   +4.33% (p=0.002 n=6)
168         32.55µ ± 0%   32.86µ ± 0%   +0.97% (p=0.002 n=6)
176         32.98µ ± 0%   32.83µ ± 0%   -0.46% (p=0.002 n=6)
184         31.96µ ± 0%   32.65µ ± 1%   +2.15% (p=0.002 n=6)
192         32.37µ ± 0%   32.60µ ± 0%   +0.72% (p=0.002 n=6)
200         33.09µ ± 1%   33.71µ ± 1%   +1.89% (p=0.002 n=6)
208         32.17µ ± 0%   32.51µ ± 0%   +1.05% (p=0.002 n=6)
216         33.45µ ± 0%   32.93µ ± 0%   -1.55% (p=0.002 n=6)
224         33.03µ ± 0%   32.93µ ± 1%        ~ (p=0.093 n=6)
232         33.23µ ± 0%   33.37µ ± 0%   +0.41% (p=0.009 n=6)
240         33.71µ ± 0%   33.72µ ± 0%        ~ (p=0.974 n=6)
248         33.27µ ± 1%   33.54µ ± 0%   +0.80% (p=0.026 n=6)
geomean     24.58µ        16.73µ       -31.94%

pkg: github.com/consensys/gnark-crypto/ecc/bw6-633
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         49.474µ ± 0%   1.660µ ± 1%  -96.64% (p=0.002 n=6)
8         52.756µ ± 1%   9.395µ ± 0%  -82.19% (p=0.002 n=6)
16         53.86µ ± 1%   17.03µ ± 0%  -68.38% (p=0.002 n=6)
24         56.48µ ± 2%   24.73µ ± 0%  -56.21% (p=0.002 n=6)
32         64.59µ ± 0%   29.28µ ± 0%  -54.67% (p=0.002 n=6)
40         63.71µ ± 1%   37.85µ ± 0%  -40.60% (p=0.002 n=6)
48         65.64µ ± 0%   45.69µ ± 0%  -30.40% (p=0.002 n=6)
56         70.10µ ± 0%   54.39µ ± 1%  -22.42% (p=0.002 n=6)
64         72.93µ ± 1%   61.99µ ± 0%  -15.00% (p=0.002 n=6)
72        113.86µ ± 0%   65.46µ ± 0%  -42.51% (p=0.002 n=6)
80        118.33µ ± 0%   75.16µ ± 0%  -36.48% (p=0.002 n=6)
88        121.59µ ± 1%   86.88µ ± 0%  -28.54% (p=0.002 n=6)
96        120.94µ ± 0%   93.72µ ± 1%  -22.51% (p=0.002 n=6)
104        126.9µ ± 0%   101.7µ ± 0%  -19.87% (p=0.002 n=6)
112        132.9µ ± 1%   105.1µ ± 0%  -20.92% (p=0.002 n=6)
120        134.1µ ± 1%   110.5µ ± 1%  -17.54% (p=0.002 n=6)
128        137.4µ ± 0%   123.5µ ± 0%  -10.08% (p=0.002 n=6)
136        177.4µ ± 0%   133.4µ ± 0%  -24.82% (p=0.002 n=6)
144        180.4µ ± 1%   141.2µ ± 0%  -21.76% (p=0.002 n=6)
152        179.7µ ± 0%   145.8µ ± 0%  -18.86% (p=0.002 n=6)
160        188.4µ ± 0%   153.6µ ± 1%  -18.49% (p=0.002 n=6)
168        191.1µ ± 0%   164.2µ ± 0%  -14.09% (p=0.002 n=6)
176        187.9µ ± 0%   163.2µ ± 0%  -13.12% (p=0.002 n=6)
184        185.7µ ± 0%   185.6µ ± 0%        ~ (p=0.240 n=6)
192        189.9µ ± 1%   191.6µ ± 1%   +0.93% (p=0.002 n=6)
200        193.4µ ± 1%   190.8µ ± 0%   -1.37% (p=0.002 n=6)
208        190.9µ ± 0%   188.8µ ± 0%   -1.08% (p=0.002 n=6)
216        195.3µ ± 0%   196.1µ ± 0%   +0.41% (p=0.004 n=6)
224        193.3µ ± 1%   196.2µ ± 1%   +1.52% (p=0.002 n=6)
232        193.4µ ± 0%   196.7µ ± 1%   +1.68% (p=0.002 n=6)
240        198.6µ ± 0%   201.5µ ± 1%   +1.46% (p=0.002 n=6)
248        198.8µ ± 0%   198.2µ ± 0%   -0.31% (p=0.015 n=6)
256        198.8µ ± 1%   197.0µ ± 0%   -0.92% (p=0.002 n=6)
264        196.7µ ± 0%   196.1µ ± 0%        ~ (p=0.394 n=6)
272        198.6µ ± 0%   199.3µ ± 0%   +0.37% (p=0.002 n=6)
280        198.7µ ± 0%   201.5µ ± 0%   +1.40% (p=0.002 n=6)
288        198.9µ ± 0%   200.4µ ± 1%   +0.72% (p=0.002 n=6)
296        201.2µ ± 0%   202.5µ ± 1%   +0.66% (p=0.002 n=6)
304        199.5µ ± 1%   196.1µ ± 0%   -1.67% (p=0.002 n=6)
312        198.6µ ± 0%   201.6µ ± 0%   +1.52% (p=0.002 n=6)
geomean    136.3µ        99.16µ       -27.26%

pkg: github.com/consensys/gnark-crypto/ecc/bw6-761
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         63.790µ ± 0%   2.162µ ± 0%  -96.61% (p=0.002 n=6)
8          66.82µ ± 0%   12.19µ ± 0%  -81.75% (p=0.002 n=6)
16         69.52µ ± 0%   20.80µ ± 0%  -70.08% (p=0.002 n=6)
24         76.54µ ± 1%   32.22µ ± 0%  -57.90% (p=0.002 n=6)
32         82.16µ ± 1%   42.29µ ± 1%  -48.53% (p=0.002 n=6)
40         79.45µ ± 1%   50.94µ ± 1%  -35.88% (p=0.002 n=6)
48         86.27µ ± 0%   63.61µ ± 0%  -26.27% (p=0.002 n=6)
56         90.40µ ± 1%   74.97µ ± 0%  -17.07% (p=0.002 n=6)
64         97.42µ ± 1%   73.82µ ± 0%  -24.22% (p=0.002 n=6)
72        147.18µ ± 0%   92.30µ ± 0%  -37.28% (p=0.002 n=6)
80        149.95µ ± 1%   95.37µ ± 1%  -36.40% (p=0.002 n=6)
88         154.5µ ± 0%   102.8µ ± 1%  -33.47% (p=0.002 n=6)
96         165.4µ ± 0%   122.4µ ± 1%  -26.01% (p=0.002 n=6)
104        170.9µ ± 0%   126.8µ ± 0%  -25.79% (p=0.002 n=6)
112        155.9µ ± 0%   135.6µ ± 0%  -13.03% (p=0.002 n=6)
120        171.3µ ± 0%   153.8µ ± 0%  -10.26% (p=0.002 n=6)
128        178.0µ ± 1%   170.9µ ± 0%   -3.98% (p=0.002 n=6)
136        224.9µ ± 0%   175.3µ ± 0%  -22.06% (p=0.002 n=6)
144        234.3µ ± 0%   182.2µ ± 1%  -22.24% (p=0.002 n=6)
152        230.2µ ± 0%   191.3µ ± 0%  -16.91% (p=0.002 n=6)
160        235.8µ ± 0%   208.2µ ± 0%  -11.68% (p=0.002 n=6)
168        241.3µ ± 0%   211.3µ ± 0%  -12.40% (p=0.002 n=6)
176        245.5µ ± 0%   222.4µ ± 0%   -9.39% (p=0.002 n=6)
184        255.4µ ± 0%   241.0µ ± 0%   -5.62% (p=0.002 n=6)
192        259.7µ ± 1%   241.2µ ± 1%   -7.12% (p=0.002 n=6)
200        256.9µ ± 0%   253.6µ ± 0%   -1.31% (p=0.002 n=6)
208        262.1µ ± 0%   260.6µ ± 1%        ~ (p=0.065 n=6)
216        263.6µ ± 0%   265.9µ ± 0%   +0.87% (p=0.002 n=6)
224        273.0µ ± 0%   269.8µ ± 0%   -1.17% (p=0.002 n=6)
232        262.2µ ± 0%   267.5µ ± 0%   +2.00% (p=0.002 n=6)
240        270.6µ ± 0%   271.5µ ± 0%   +0.32% (p=0.002 n=6)
248        262.2µ ± 0%   271.7µ ± 0%   +3.63% (p=0.002 n=6)
256        274.5µ ± 1%   279.8µ ± 1%   +1.93% (p=0.002 n=6)
264        273.2µ ± 0%   268.6µ ± 0%   -1.68% (p=0.002 n=6)
272        270.6µ ± 0%   270.7µ ± 1%        ~ (p=1.000 n=6)
280        272.2µ ± 0%   269.4µ ± 1%   -1.02% (p=0.002 n=6)
288        276.0µ ± 0%   274.2µ ± 0%   -0.68% (p=0.002 n=6)
296        278.8µ ± 0%   277.0µ ± 0%   -0.63% (p=0.002 n=6)
304        279.9µ ± 0%   287.0µ ± 1%   +2.53% (p=0.002 n=6)
312        281.8µ ± 0%   280.0µ ± 0%   -0.61% (p=0.002 n=6)
320        276.4µ ± 1%   275.8µ ± 0%   -0.20% (p=0.009 n=6)
328        279.0µ ± 0%   282.5µ ± 0%   +1.24% (p=0.002 n=6)
336        280.4µ ± 0%   277.1µ ± 0%   -1.15% (p=0.002 n=6)
344        276.0µ ± 0%   284.2µ ± 2%   +2.95% (p=0.002 n=6)
352        270.8µ ± 0%   277.2µ ± 0%   +2.37% (p=0.002 n=6)
360        281.5µ ± 0%   285.3µ ± 1%   +1.35% (p=0.002 n=6)
368        278.8µ ± 0%   281.4µ ± 0%   +0.91% (p=0.002 n=6)
376        273.3µ ± 0%   281.2µ ± 0%   +2.89% (p=0.002 n=6)
geomean    193.7µ        150.0µ       -22.58%

pkg: github.com/consensys/gnark-crypto/ecc/grumpkin
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         10976.0n ± 0%   368.1n ± 0%  -96.65% (p=0.002 n=6)
8          11.798µ ± 1%   2.088µ ± 0%  -82.30% (p=0.002 n=6)
16         12.285µ ± 0%   3.570µ ± 0%  -70.94% (p=0.002 n=6)
24         12.944µ ± 0%   4.798µ ± 1%  -62.93% (p=0.002 n=6)
32         13.457µ ± 0%   6.077µ ± 0%  -54.84% (p=0.002 n=6)
40         13.912µ ± 0%   8.425µ ± 0%  -39.44% (p=0.002 n=6)
48          15.07µ ± 0%   10.82µ ± 0%  -28.19% (p=0.002 n=6)
56          15.59µ ± 0%   11.61µ ± 0%  -25.55% (p=0.002 n=6)
64          17.64µ ± 1%   14.27µ ± 0%  -19.13% (p=0.002 n=6)
72          25.30µ ± 0%   16.16µ ± 0%  -36.11% (p=0.002 n=6)
80          25.84µ ± 0%   16.94µ ± 0%  -34.42% (p=0.002 n=6)
88          26.35µ ± 0%   18.88µ ± 0%  -28.35% (p=0.002 n=6)
96          26.77µ ± 0%   19.76µ ± 0%  -26.18% (p=0.002 n=6)
104         27.94µ ± 0%   21.85µ ± 0%  -21.79% (p=0.002 n=6)
112         29.29µ ± 0%   24.50µ ± 0%  -16.37% (p=0.002 n=6)
120         28.61µ ± 1%   24.80µ ± 0%  -13.32% (p=0.002 n=6)
128         32.18µ ± 0%   26.48µ ± 0%  -17.72% (p=0.002 n=6)
136         31.05µ ± 0%   29.33µ ± 1%   -5.53% (p=0.002 n=6)
144         30.89µ ± 0%   32.71µ ± 0%   +5.91% (p=0.002 n=6)
152         32.60µ ± 1%   32.32µ ± 0%   -0.85% (p=0.002 n=6)
160         32.48µ ± 0%   32.98µ ± 0%   +1.54% (p=0.002 n=6)
168         32.50µ ± 0%   32.74µ ± 1%   +0.73% (p=0.002 n=6)
176         32.45µ ± 1%   32.70µ ± 0%   +0.75% (p=0.041 n=6)
184         33.06µ ± 1%   32.05µ ± 0%   -3.06% (p=0.002 n=6)
192         33.28µ ± 2%   32.36µ ± 1%   -2.78% (p=0.002 n=6)
200         32.86µ ± 0%   33.23µ ± 0%   +1.12% (p=0.002 n=6)
208         33.71µ ± 0%   33.46µ ± 0%   -0.75% (p=0.002 n=6)
216         33.50µ ± 0%   33.62µ ± 0%   +0.34% (p=0.026 n=6)
224         33.89µ ± 1%   32.80µ ± 0%   -3.22% (p=0.002 n=6)
232         32.30µ ± 0%   33.22µ ± 0%   +2.84% (p=0.002 n=6)
240         33.52µ ± 0%   33.13µ ± 1%   -1.16% (p=0.004 n=6)
248         32.59µ ± 1%   33.30µ ± 0%   +2.18% (p=0.002 n=6)
geomean     24.52µ        16.96µ       -30.81%

pkg: github.com/consensys/gnark-crypto/ecc/secp256k1
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         13900.5n ± 0%   473.1n ± 0%  -96.60% (p=0.002 n=6)
8          14.972µ ± 1%   1.772µ ± 0%  -88.16% (p=0.002 n=6)
16         14.444µ ± 0%   4.853µ ± 1%  -66.40% (p=0.002 n=6)
24         15.908µ ± 1%   6.152µ ± 0%  -61.33% (p=0.002 n=6)
32         17.998µ ± 0%   8.305µ ± 0%  -53.86% (p=0.002 n=6)
40          18.59µ ± 0%   10.82µ ± 1%  -41.81% (p=0.002 n=6)
48          20.11µ ± 0%   13.00µ ± 2%  -35.34% (p=0.002 n=6)
56          19.82µ ± 0%   14.86µ ± 0%  -25.04% (p=0.002 n=6)
64          22.51µ ± 0%   18.82µ ± 1%  -16.37% (p=0.002 n=6)
72          32.69µ ± 0%   19.79µ ± 0%  -39.45% (p=0.002 n=6)
80          31.59µ ± 1%   23.20µ ± 1%  -26.57% (p=0.002 n=6)
88          33.98µ ± 1%   24.76µ ± 0%  -27.14% (p=0.002 n=6)
96          32.91µ ± 1%   27.57µ ± 0%  -16.23% (p=0.002 n=6)
104         36.83µ ± 0%   29.52µ ± 1%  -19.84% (p=0.002 n=6)
112         35.93µ ± 0%   31.05µ ± 0%  -13.58% (p=0.002 n=6)
120         37.99µ ± 0%   32.94µ ± 0%  -13.29% (p=0.002 n=6)
128         39.30µ ± 1%   34.50µ ± 0%  -12.20% (p=0.002 n=6)
136         41.79µ ± 1%   36.70µ ± 0%  -12.17% (p=0.002 n=6)
144         41.81µ ± 0%   40.28µ ± 0%   -3.67% (p=0.002 n=6)
152         42.33µ ± 0%   42.37µ ± 1%        ~ (p=0.310 n=6)
160         42.38µ ± 1%   42.65µ ± 0%   +0.66% (p=0.015 n=6)
168         42.43µ ± 1%   41.71µ ± 0%   -1.69% (p=0.002 n=6)
176         43.37µ ± 0%   42.57µ ± 0%   -1.85% (p=0.002 n=6)
184         42.32µ ± 1%   42.22µ ± 0%   -0.24% (p=0.037 n=6)
192         42.57µ ± 0%   42.06µ ± 1%   -1.21% (p=0.002 n=6)
200         41.77µ ± 1%   41.43µ ± 0%   -0.83% (p=0.002 n=6)
208         42.48µ ± 0%   41.71µ ± 1%   -1.80% (p=0.002 n=6)
216         43.19µ ± 0%   42.91µ ± 0%   -0.66% (p=0.002 n=6)
224         42.92µ ± 0%   41.96µ ± 0%   -2.22% (p=0.002 n=6)
232         42.65µ ± 1%   43.21µ ± 0%   +1.30% (p=0.002 n=6)
240         42.36µ ± 0%   42.58µ ± 0%   +0.53% (p=0.002 n=6)
248         42.03µ ± 0%   43.01µ ± 1%   +2.32% (p=0.002 n=6)
256         42.98µ ± 0%   42.91µ ± 0%        ~ (p=0.310 n=6)
geomean     31.76µ        22.12µ       -30.36%

G2

goos: linux
goarch: amd64
pkg: github.com/consensys/gnark-crypto/ecc/bls12-377
cpu: AMD Ryzen 9 7940HS w/ Radeon 780M Graphics     
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         56.200µ ± 1%   2.069µ ± 1%  -96.32% (p=0.002 n=6)
8         56.462µ ± 0%   8.516µ ± 2%  -84.92% (p=0.002 n=6)
16         63.39µ ± 0%   20.60µ ± 0%  -67.51% (p=0.002 n=6)
24         62.35µ ± 0%   31.19µ ± 2%  -49.98% (p=0.002 n=6)
32         69.60µ ± 1%   33.50µ ± 3%  -51.87% (p=0.002 n=6)
40         78.06µ ± 0%   49.62µ ± 0%  -36.44% (p=0.002 n=6)
48         80.93µ ± 0%   53.68µ ± 2%  -33.67% (p=0.002 n=6)
56         86.66µ ± 0%   61.27µ ± 0%  -29.30% (p=0.002 n=6)
64         91.00µ ± 0%   74.46µ ± 0%  -18.18% (p=0.002 n=6)
72        127.18µ ± 1%   83.86µ ± 0%  -34.06% (p=0.002 n=6)
80         137.1µ ± 1%   100.0µ ± 0%  -27.08% (p=0.002 n=6)
88         139.8µ ± 0%   103.8µ ± 0%  -25.79% (p=0.002 n=6)
96         144.1µ ± 0%   118.4µ ± 1%  -17.80% (p=0.002 n=6)
104        149.8µ ± 0%   123.9µ ± 0%  -17.23% (p=0.002 n=6)
112        162.8µ ± 0%   126.0µ ± 0%  -22.57% (p=0.002 n=6)
120        158.6µ ± 0%   145.1µ ± 1%   -8.52% (p=0.002 n=6)
128        164.4µ ± 0%   147.2µ ± 0%  -10.43% (p=0.002 n=6)
136        161.7µ ± 1%   164.2µ ± 0%   +1.54% (p=0.002 n=6)
144        169.7µ ± 0%   163.3µ ± 1%   -3.81% (p=0.002 n=6)
152        167.1µ ± 0%   165.7µ ± 1%   -0.89% (p=0.002 n=6)
160        168.8µ ± 0%   164.8µ ± 1%   -2.34% (p=0.002 n=6)
168        169.8µ ± 0%   171.4µ ± 1%   +0.94% (p=0.002 n=6)
176        168.6µ ± 0%   168.7µ ± 0%        ~ (p=0.180 n=6)
184        163.0µ ± 0%   167.3µ ± 0%   +2.64% (p=0.002 n=6)
192        172.6µ ± 0%   168.5µ ± 0%   -2.34% (p=0.002 n=6)
200        175.4µ ± 0%   172.9µ ± 0%   -1.43% (p=0.002 n=6)
208        172.2µ ± 1%   173.9µ ± 1%   +1.03% (p=0.002 n=6)
216        175.2µ ± 0%   178.4µ ± 0%   +1.82% (p=0.002 n=6)
224        179.4µ ± 1%   177.0µ ± 0%   -1.29% (p=0.002 n=6)
232        178.5µ ± 0%   178.6µ ± 1%        ~ (p=1.000 n=6)
240        178.4µ ± 1%   173.9µ ± 1%   -2.51% (p=0.002 n=6)
248        181.0µ ± 0%   178.8µ ± 0%   -1.22% (p=0.002 n=6)
geomean    128.8µ        91.06µ       -29.32%

pkg: github.com/consensys/gnark-crypto/ecc/bls12-381
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         47.489µ ± 0%   1.745µ ± 0%  -96.33% (p=0.002 n=6)
8         51.190µ ± 0%   9.426µ ± 0%  -81.59% (p=0.002 n=6)
16         52.40µ ± 1%   15.87µ ± 0%  -69.70% (p=0.002 n=6)
24         57.14µ ± 0%   25.89µ ± 0%  -54.69% (p=0.002 n=6)
32         62.96µ ± 0%   32.36µ ± 0%  -48.60% (p=0.002 n=6)
40         62.96µ ± 0%   35.27µ ± 1%  -43.97% (p=0.002 n=6)
48         70.12µ ± 1%   48.84µ ± 0%  -30.35% (p=0.002 n=6)
56         72.49µ ± 0%   54.14µ ± 1%  -25.31% (p=0.002 n=6)
64         70.05µ ± 0%   60.54µ ± 1%  -13.57% (p=0.002 n=6)
72        113.78µ ± 0%   65.81µ ± 1%  -42.16% (p=0.002 n=6)
80        117.44µ ± 0%   78.08µ ± 1%  -33.52% (p=0.002 n=6)
88        122.07µ ± 0%   86.81µ ± 0%  -28.89% (p=0.002 n=6)
96        120.96µ ± 0%   87.53µ ± 1%  -27.64% (p=0.002 n=6)
104        119.8µ ± 0%   104.8µ ± 0%  -12.55% (p=0.002 n=6)
112        121.0µ ± 1%   104.3µ ± 1%  -13.83% (p=0.002 n=6)
120        127.0µ ± 0%   112.9µ ± 1%  -11.07% (p=0.002 n=6)
128        130.4µ ± 0%   120.5µ ± 1%   -7.58% (p=0.002 n=6)
136        136.4µ ± 0%   139.0µ ± 1%   +1.94% (p=0.002 n=6)
144        132.9µ ± 0%   136.4µ ± 0%   +2.64% (p=0.002 n=6)
152        142.5µ ± 0%   136.5µ ± 0%   -4.24% (p=0.002 n=6)
160        138.8µ ± 0%   139.9µ ± 0%   +0.84% (p=0.002 n=6)
168        141.1µ ± 0%   139.9µ ± 0%   -0.81% (p=0.002 n=6)
176        138.8µ ± 1%   142.4µ ± 0%   +2.61% (p=0.002 n=6)
184        144.9µ ± 1%   136.4µ ± 0%   -5.86% (p=0.002 n=6)
192        147.1µ ± 0%   145.9µ ± 0%   -0.84% (p=0.002 n=6)
200        144.8µ ± 0%   145.9µ ± 0%   +0.74% (p=0.002 n=6)
208        147.1µ ± 0%   143.8µ ± 1%   -2.26% (p=0.002 n=6)
216        141.2µ ± 0%   145.9µ ± 0%   +3.37% (p=0.002 n=6)
224        147.1µ ± 0%   149.5µ ± 0%   +1.59% (p=0.002 n=6)
232        148.5µ ± 0%   149.4µ ± 0%   +0.58% (p=0.002 n=6)
240        149.4µ ± 0%   148.4µ ± 0%   -0.67% (p=0.002 n=6)
248        147.3µ ± 1%   154.2µ ± 0%   +4.70% (p=0.002 n=6)
geomean    107.6µ        76.11µ       -29.28%

pkg: github.com/consensys/gnark-crypto/ecc/bls24-315
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         133.392µ ± 0%   4.734µ ± 1%  -96.45% (p=0.002 n=6)
8          140.25µ ± 0%   22.79µ ± 0%  -83.75% (p=0.002 n=6)
16         156.84µ ± 0%   34.32µ ± 1%  -78.12% (p=0.002 n=6)
24         156.96µ ± 0%   61.93µ ± 0%  -60.54% (p=0.002 n=6)
32         170.07µ ± 0%   92.70µ ± 0%  -45.49% (p=0.002 n=6)
40          183.8µ ± 0%   101.0µ ± 0%  -45.07% (p=0.002 n=6)
48          193.9µ ± 1%   125.4µ ± 0%  -35.30% (p=0.002 n=6)
56          199.9µ ± 0%   156.2µ ± 0%  -21.86% (p=0.002 n=6)
64          203.5µ ± 1%   161.2µ ± 1%  -20.76% (p=0.002 n=6)
72          303.9µ ± 0%   205.1µ ± 1%  -32.52% (p=0.002 n=6)
80          323.8µ ± 0%   210.0µ ± 0%  -35.13% (p=0.002 n=6)
88          330.7µ ± 0%   237.8µ ± 0%  -28.08% (p=0.002 n=6)
96          337.5µ ± 1%   242.9µ ± 0%  -28.03% (p=0.002 n=6)
104         353.3µ ± 0%   254.5µ ± 0%  -27.97% (p=0.002 n=6)
112         373.1µ ± 0%   317.1µ ± 0%  -15.01% (p=0.002 n=6)
120         366.7µ ± 1%   319.7µ ± 0%  -12.81% (p=0.002 n=6)
128         390.1µ ± 1%   340.2µ ± 0%  -12.80% (p=0.002 n=6)
136         363.5µ ± 0%   395.4µ ± 1%   +8.80% (p=0.002 n=6)
144         403.2µ ± 0%   381.9µ ± 0%   -5.27% (p=0.002 n=6)
152         393.0µ ± 0%   401.4µ ± 0%   +2.15% (p=0.002 n=6)
160         390.0µ ± 1%   385.3µ ± 0%   -1.22% (p=0.002 n=6)
168         393.1µ ± 0%   391.6µ ± 0%   -0.38% (p=0.002 n=6)
176         400.1µ ± 0%   385.5µ ± 0%   -3.65% (p=0.002 n=6)
184         410.3µ ± 0%   404.5µ ± 1%   -1.43% (p=0.002 n=6)
192         413.5µ ± 1%   395.0µ ± 0%   -4.47% (p=0.002 n=6)
200         397.2µ ± 0%   405.3µ ± 1%   +2.02% (p=0.002 n=6)
208         403.8µ ± 0%   398.2µ ± 0%   -1.38% (p=0.002 n=6)
216         412.9µ ± 0%   401.5µ ± 0%   -2.75% (p=0.002 n=6)
224         420.7µ ± 0%   388.6µ ± 0%   -7.63% (p=0.002 n=6)
232         400.8µ ± 1%   398.1µ ± 0%   -0.68% (p=0.002 n=6)
240         411.4µ ± 0%   417.3µ ± 0%   +1.45% (p=0.002 n=6)
248         423.5µ ± 1%   421.4µ ± 0%   -0.48% (p=0.002 n=6)
geomean     303.7µ        207.8µ       -31.56%

pkg: github.com/consensys/gnark-crypto/ecc/bls24-317
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         135.224µ ± 1%   4.911µ ± 0%  -96.37% (p=0.002 n=6)
8          138.43µ ± 1%   16.69µ ± 1%  -87.95% (p=0.002 n=6)
16         152.11µ ± 1%   49.15µ ± 0%  -67.69% (p=0.002 n=6)
24         166.17µ ± 1%   74.74µ ± 0%  -55.03% (p=0.002 n=6)
32         166.62µ ± 0%   96.93µ ± 0%  -41.83% (p=0.002 n=6)
40          180.4µ ± 0%   112.4µ ± 0%  -37.67% (p=0.002 n=6)
48          180.4µ ± 0%   134.5µ ± 1%  -25.45% (p=0.002 n=6)
56          208.6µ ± 1%   153.2µ ± 0%  -26.57% (p=0.002 n=6)
64          211.5µ ± 1%   196.1µ ± 1%   -7.25% (p=0.002 n=6)
72          329.8µ ± 2%   218.0µ ± 0%  -33.89% (p=0.002 n=6)
80          309.5µ ± 0%   219.9µ ± 0%  -28.94% (p=0.002 n=6)
88          357.3µ ± 0%   259.0µ ± 0%  -27.52% (p=0.002 n=6)
96          367.3µ ± 1%   260.9µ ± 0%  -28.96% (p=0.002 n=6)
104         361.3µ ± 0%   293.0µ ± 0%  -18.89% (p=0.002 n=6)
112         381.5µ ± 0%   322.2µ ± 0%  -15.55% (p=0.002 n=6)
120         392.5µ ± 0%   316.8µ ± 0%  -19.28% (p=0.002 n=6)
128         393.3µ ± 0%   359.4µ ± 1%   -8.61% (p=0.002 n=6)
136         382.9µ ± 2%   395.8µ ± 1%   +3.37% (p=0.002 n=6)
144         419.1µ ± 0%   414.1µ ± 0%   -1.20% (p=0.002 n=6)
152         392.6µ ± 0%   389.4µ ± 0%   -0.81% (p=0.002 n=6)
160         385.5µ ± 0%   399.8µ ± 0%   +3.71% (p=0.002 n=6)
168         409.2µ ± 1%   392.8µ ± 1%   -4.01% (p=0.002 n=6)
176         410.1µ ± 5%   414.0µ ± 0%        ~ (p=0.065 n=6)
184         414.4µ ± 1%   406.1µ ± 0%   -1.99% (p=0.002 n=6)
192         404.3µ ± 1%   389.5µ ± 0%   -3.67% (p=0.002 n=6)
200         433.9µ ± 1%   403.9µ ± 1%   -6.92% (p=0.002 n=6)
208         420.0µ ± 1%   420.2µ ± 1%        ~ (p=0.485 n=6)
216         423.3µ ± 0%   426.8µ ± 0%   +0.81% (p=0.002 n=6)
224         402.3µ ± 0%   424.2µ ± 0%   +5.43% (p=0.002 n=6)
232         423.4µ ± 0%   436.1µ ± 1%   +3.00% (p=0.002 n=6)
240         423.5µ ± 0%   439.4µ ± 0%   +3.76% (p=0.002 n=6)
248         430.0µ ± 5%   435.1µ ± 0%        ~ (p=0.065 n=6)
geomean     310.0µ        218.9µ       -29.37%

pkg: github.com/consensys/gnark-crypto/ecc/bn254
        │      OLD      │                NEW                 │
        │    sec/op     │   sec/op     vs base               │
0         24910.0n ± 0%   894.9n ± 0%  -96.41% (p=0.002 n=6)
8          25.626µ ± 1%   4.874µ ± 0%  -80.98% (p=0.002 n=6)
16         28.124µ ± 1%   8.830µ ± 0%  -68.60% (p=0.002 n=6)
24          29.27µ ± 0%   12.77µ ± 0%  -56.37% (p=0.002 n=6)
32          32.15µ ± 0%   13.21µ ± 1%  -58.92% (p=0.002 n=6)
40          33.34µ ± 0%   18.94µ ± 0%  -43.19% (p=0.002 n=6)
48          34.58µ ± 0%   24.05µ ± 0%  -30.47% (p=0.002 n=6)
56          36.93µ ± 0%   29.71µ ± 2%  -19.54% (p=0.002 n=6)
64          39.32µ ± 0%   33.08µ ± 0%  -15.86% (p=0.002 n=6)
72          57.03µ ± 0%   35.83µ ± 0%  -37.17% (p=0.002 n=6)
80          60.62µ ± 0%   38.06µ ± 1%  -37.22% (p=0.002 n=6)
88          60.06µ ± 0%   40.79µ ± 0%  -32.09% (p=0.002 n=6)
96          68.23µ ± 0%   48.34µ ± 0%  -29.15% (p=0.002 n=6)
104         64.74µ ± 1%   54.62µ ± 0%  -15.63% (p=0.002 n=6)
112         71.26µ ± 0%   52.08µ ± 1%  -26.92% (p=0.002 n=6)
120         69.53µ ± 0%   55.48µ ± 0%  -20.20% (p=0.002 n=6)
128         74.30µ ± 1%   69.32µ ± 1%   -6.69% (p=0.002 n=6)
136         75.07µ ± 0%   74.57µ ± 1%   -0.66% (p=0.041 n=6)
144         76.17µ ± 0%   72.84µ ± 0%   -4.38% (p=0.002 n=6)
152         75.05µ ± 1%   75.23µ ± 0%        ~ (p=0.132 n=6)
160         74.88µ ± 1%   75.18µ ± 0%        ~ (p=0.065 n=6)
168         74.33µ ± 0%   78.43µ ± 1%   +5.51% (p=0.002 n=6)
176         77.37µ ± 0%   77.14µ ± 0%   -0.31% (p=0.015 n=6)
184         74.35µ ± 0%   77.24µ ± 1%   +3.88% (p=0.002 n=6)
192         77.37µ ± 0%   77.18µ ± 1%        ~ (p=0.132 n=6)
200         77.98µ ± 1%   78.26µ ± 0%        ~ (p=0.093 n=6)
208         78.58µ ± 0%   78.86µ ± 0%   +0.35% (p=0.009 n=6)
216         78.66µ ± 0%   76.47µ ± 0%   -2.78% (p=0.002 n=6)
224         79.15µ ± 0%   78.13µ ± 0%   -1.29% (p=0.002 n=6)
232         77.48µ ± 0%   79.32µ ± 1%   +2.38% (p=0.002 n=6)
240         79.68µ ± 0%   75.17µ ± 0%   -5.66% (p=0.002 n=6)
248         77.28µ ± 0%   77.11µ ± 0%   -0.21% (p=0.004 n=6)
geomean     57.32µ        39.83µ       -30.52%

pkg: github.com/consensys/gnark-crypto/ecc/bw6-633
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         49.510µ ± 0%   1.674µ ± 1%  -96.62% (p=0.002 n=6)
8         51.764µ ± 0%   7.295µ ± 0%  -85.91% (p=0.002 n=6)
16         53.86µ ± 1%   16.00µ ± 0%  -70.29% (p=0.002 n=6)
24         60.18µ ± 0%   23.72µ ± 1%  -60.58% (p=0.002 n=6)
32         65.56µ ± 0%   32.48µ ± 0%  -50.46% (p=0.002 n=6)
40         64.52µ ± 0%   40.10µ ± 0%  -37.84% (p=0.002 n=6)
48         70.90µ ± 0%   45.77µ ± 0%  -35.44% (p=0.002 n=6)
56         64.39µ ± 0%   55.48µ ± 0%  -13.83% (p=0.002 n=6)
64         71.77µ ± 1%   63.11µ ± 0%  -12.06% (p=0.002 n=6)
72        113.64µ ± 0%   66.64µ ± 1%  -41.36% (p=0.002 n=6)
80        116.86µ ± 0%   76.30µ ± 0%  -34.70% (p=0.002 n=6)
88        121.02µ ± 0%   87.33µ ± 0%  -27.84% (p=0.002 n=6)
96        124.15µ ± 0%   87.54µ ± 0%  -29.49% (p=0.002 n=6)
104        126.4µ ± 0%   100.8µ ± 0%  -20.29% (p=0.002 n=6)
112        135.0µ ± 0%   107.5µ ± 0%  -20.36% (p=0.002 n=6)
120        128.6µ ± 0%   119.2µ ± 0%   -7.37% (p=0.002 n=6)
128        133.8µ ± 0%   121.7µ ± 1%   -9.04% (p=0.002 n=6)
136        174.5µ ± 0%   130.6µ ± 1%  -25.14% (p=0.002 n=6)
144        180.8µ ± 0%   136.1µ ± 0%  -24.73% (p=0.002 n=6)
152        184.2µ ± 1%   150.1µ ± 0%  -18.52% (p=0.002 n=6)
160        189.8µ ± 0%   156.3µ ± 0%  -17.68% (p=0.002 n=6)
168        190.0µ ± 0%   191.3µ ± 0%   +0.67% (p=0.002 n=6)
176        191.0µ ± 0%   192.0µ ± 0%   +0.51% (p=0.002 n=6)
184        197.4µ ± 0%   187.0µ ± 1%   -5.25% (p=0.002 n=6)
192        193.9µ ± 1%   196.6µ ± 2%   +1.37% (p=0.015 n=6)
200        191.7µ ± 0%   189.6µ ± 0%   -1.13% (p=0.002 n=6)
208        192.9µ ± 0%   190.2µ ± 0%   -1.42% (p=0.002 n=6)
216        196.5µ ± 0%   188.8µ ± 0%   -3.89% (p=0.002 n=6)
224        192.9µ ± 1%   193.1µ ± 0%        ~ (p=0.240 n=6)
232        198.1µ ± 0%   192.0µ ± 0%   -3.13% (p=0.002 n=6)
240        199.3µ ± 0%   198.3µ ± 0%   -0.50% (p=0.002 n=6)
248        197.4µ ± 0%   200.5µ ± 0%   +1.57% (p=0.002 n=6)
256        198.4µ ± 1%   198.2µ ± 0%        ~ (p=0.240 n=6)
264        197.1µ ± 0%   198.9µ ± 1%   +0.88% (p=0.002 n=6)
272        202.5µ ± 0%   199.6µ ± 0%   -1.43% (p=0.002 n=6)
280        198.1µ ± 0%   201.9µ ± 1%   +1.91% (p=0.002 n=6)
288        200.3µ ± 0%   200.7µ ± 0%        ~ (p=0.132 n=6)
296        201.3µ ± 0%   195.4µ ± 1%   -2.96% (p=0.002 n=6)
304        201.4µ ± 0%   197.7µ ± 0%   -1.88% (p=0.002 n=6)
312        200.2µ ± 0%   199.6µ ± 0%   -0.34% (p=0.009 n=6)
geomean    136.9µ        99.50µ       -27.33%

pkg: github.com/consensys/gnark-crypto/ecc/bw6-761
        │     OLD      │                NEW                 │
        │    sec/op    │   sec/op     vs base               │
0         63.817µ ± 0%   2.173µ ± 0%  -96.59% (p=0.002 n=6)
8         68.208µ ± 0%   9.489µ ± 1%  -86.09% (p=0.002 n=6)
16         70.86µ ± 0%   20.84µ ± 1%  -70.59% (p=0.002 n=6)
24         76.45µ ± 0%   29.38µ ± 0%  -61.56% (p=0.002 n=6)
32         82.09µ ± 0%   40.78µ ± 1%  -50.32% (p=0.002 n=6)
40         84.80µ ± 1%   54.99µ ± 0%  -35.15% (p=0.002 n=6)
48         87.74µ ± 0%   62.30µ ± 0%  -28.99% (p=0.002 n=6)
56         89.11µ ± 0%   72.15µ ± 1%  -19.04% (p=0.002 n=6)
64         98.83µ ± 0%   84.87µ ± 0%  -14.13% (p=0.002 n=6)
72        144.47µ ± 0%   85.27µ ± 0%  -40.98% (p=0.002 n=6)
80         147.2µ ± 0%   106.7µ ± 0%  -27.54% (p=0.002 n=6)
88         154.2µ ± 0%   115.2µ ± 0%  -25.26% (p=0.002 n=6)
96         166.8µ ± 2%   128.1µ ± 0%  -23.20% (p=0.002 n=6)
104        158.5µ ± 0%   126.8µ ± 0%  -19.99% (p=0.002 n=6)
112        170.9µ ± 0%   141.3µ ± 1%  -17.32% (p=0.002 n=6)
120        165.4µ ± 0%   145.5µ ± 0%  -12.02% (p=0.002 n=6)
128        175.0µ ± 0%   154.2µ ± 0%  -11.88% (p=0.002 n=6)
136        230.3µ ± 0%   172.2µ ± 1%  -25.20% (p=0.002 n=6)
144        224.5µ ± 0%   185.6µ ± 1%  -17.31% (p=0.002 n=6)
152        235.9µ ± 0%   188.3µ ± 0%  -20.15% (p=0.002 n=6)
160        239.0µ ± 1%   195.7µ ± 0%  -18.11% (p=0.002 n=6)
168        256.1µ ± 0%   215.7µ ± 0%  -15.79% (p=0.002 n=6)
176        250.0µ ± 0%   214.2µ ± 0%  -14.33% (p=0.002 n=6)
184        256.2µ ± 1%   234.2µ ± 1%   -8.60% (p=0.002 n=6)
192        258.9µ ± 0%   246.5µ ± 0%   -4.79% (p=0.002 n=6)
200        256.2µ ± 0%   248.1µ ± 1%   -3.14% (p=0.002 n=6)
208        260.9µ ± 0%   267.6µ ± 1%   +2.59% (p=0.002 n=6)
216        260.3µ ± 0%   264.9µ ± 0%   +1.77% (p=0.002 n=6)
224        271.2µ ± 1%   263.5µ ± 1%   -2.83% (p=0.002 n=6)
232        267.6µ ± 0%   257.9µ ± 1%   -3.63% (p=0.002 n=6)
240        265.8µ ± 0%   268.7µ ± 0%   +1.09% (p=0.002 n=6)
248        277.0µ ± 0%   277.9µ ± 1%        ~ (p=0.180 n=6)
256        274.1µ ± 0%   272.9µ ± 1%   -0.44% (p=0.041 n=6)
264        276.7µ ± 0%   277.5µ ± 0%   +0.30% (p=0.002 n=6)
272        273.8µ ± 1%   270.6µ ± 0%   -1.14% (p=0.002 n=6)
280        273.8µ ± 0%   284.0µ ± 0%   +3.72% (p=0.002 n=6)
288        275.1µ ± 0%   270.0µ ± 0%   -1.88% (p=0.002 n=6)
296        272.7µ ± 1%   274.0µ ± 0%        ~ (p=0.065 n=6)
304        275.0µ ± 0%   272.6µ ± 0%   -0.90% (p=0.002 n=6)
312        283.2µ ± 0%   281.0µ ± 2%        ~ (p=0.065 n=6)
320        276.3µ ± 0%   278.3µ ± 1%   +0.74% (p=0.002 n=6)
328        283.0µ ± 0%   282.0µ ± 0%   -0.36% (p=0.009 n=6)
336        284.6µ ± 0%   282.4µ ± 0%   -0.76% (p=0.002 n=6)
344        279.6µ ± 0%   285.3µ ± 0%   +2.04% (p=0.002 n=6)
352        277.9µ ± 0%   285.7µ ± 1%   +2.82% (p=0.002 n=6)
360        284.8µ ± 1%   285.7µ ± 0%        ~ (p=0.093 n=6)
368        280.7µ ± 0%   272.0µ ± 0%   -3.11% (p=0.002 n=6)
376        282.0µ ± 0%   282.2µ ± 0%        ~ (p=0.818 n=6)
geomean    194.9µ        149.1µ       -23.48%

Checklist:

• I have performed a self-review of my code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• I have added tests that prove my fix is effective or that my feature works
• I did not modify files generated from templates
• golangci-lint does not output errors locally
• New and existing unit tests pass locally with my changes
• Any dependent changes have been merged and published in downstream modules

[ivokub]

Converted to draft - G2 benchmarks are incorrect (thanks copilot)

[Copilot]

Pull Request Overview

This PR adds a heuristic threshold for scalar bit‐length to choose between windowed and GLV-based scalar multiplication and updates benchmarks to measure each method across scalar widths.

• Introduce g1ScalarMulChoose and g2ScalarMulChoose per curve and branch in ScalarMultiplication/ScalarMultiplicationBase.
• Update generator templates to emit the branch logic for new and existing methods.
• Enhance benchmarks (template and per-curve) to loop over scalar bit widths and compare windowed, GLV, and unified ScalarMultiplication.

Reviewed Changes

Copilot reviewed 43 out of 43 changed files in this pull request and generated no comments.

File	Description
internal/generator/ecc/template/tests/point.go.tmpl	Benchmark loops over scalar widths with new method and ScalarMultiplicationMethod
internal/generator/ecc/template/point.go.tmpl	Inject conditional template logic to choose mulGLV vs mulWindowed
ecc//.go (all curves)	Add g1ScalarMulChoose/g2ScalarMulChoose, branch in ScalarMultiplication and ScalarMultiplicationBase
ecc//_test.go (all curves)	Update benchmarks to iterate bit-lengths, import crypto/rand, and call new methods

Comments suppressed due to low confidence (2)

internal/generator/ecc/template/tests/point.go.tmpl:803

• This code uses fmt.Sprintf but the fmt package is not imported in this template; please add "fmt" to the imports.

		b.Run(fmt.Sprintf("method=window/scalarwidth=%d", i), func(b *testing.B) {

ecc/secp256k1/secp256k1.go:55

• Typo in comment: it should read g2ScalarMulChoose (capital 'M') to match the variable name.

// g1ScalarMulChoose and g2ScalarmulChoose indicate the bitlength of the scalar

[ivokub]

Converted to draft - G2 benchmarks are incorrect (thanks copilot)

Fixed the benchmarks (I code generated benchmarks for G1 instead of G2 in g2_test.go) and updates the benchmarking results.

[yelhousni]

LGTM