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core/vm: switch modexp gas computation to uint64 (#32527)
supersedes https://github.com/ethereum/go-ethereum/pull/32508/files and builts on top of https://github.com/ethereum/go-ethereum/pull/32184 looks like a ~60% decrease in allocations / op and ~20% speed increase (very variable, between 2-200%) ``` goos: linux goarch: amd64 pkg: github.com/ethereum/go-ethereum/core/vm cpu: Intel(R) Core(TM) Ultra 7 155U │ /tmp/old.txt │ /tmp/new.txt │ │ sec/op │ sec/op vs base │ PrecompiledModExp/eip_example1-Gas=13056-14 23.70µ ± 3% 22.31µ ± 6% -5.89% (p=0.004 n=10) PrecompiledModExp/eip_example2-Gas=13056-14 566.2n ± 12% 267.0n ± 3% -52.85% (p=0.000 n=10) PrecompiledModExp/nagydani-1-square-Gas=204-14 1285.5n ± 3% 995.8n ± 3% -22.54% (p=0.000 n=10) PrecompiledModExp/nagydani-1-qube-Gas=204-14 1.757µ ± 30% 1.410µ ± 16% -19.75% (p=0.000 n=10) PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14 8.897µ ± 14% 6.664µ ± 2% -25.10% (p=0.000 n=10) PrecompiledModExp/nagydani-2-square-Gas=665-14 2.107µ ± 8% 1.470µ ± 11% -30.24% (p=0.000 n=10) PrecompiledModExp/nagydani-2-qube-Gas=665-14 3.142µ ± 3% 2.289µ ± 7% -27.16% (p=0.000 n=10) PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14 14.76µ ± 3% 13.59µ ± 4% -7.94% (p=0.000 n=10) PrecompiledModExp/nagydani-3-square-Gas=1894-14 3.984µ ± 3% 3.211µ ± 3% -19.42% (p=0.000 n=10) PrecompiledModExp/nagydani-3-qube-Gas=1894-14 7.572µ ± 12% 6.153µ ± 3% -18.74% (p=0.000 n=10) PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14 39.07µ ± 7% 37.76µ ± 5% ~ (p=0.123 n=10) PrecompiledModExp/nagydani-4-square-Gas=5580-14 9.613µ ± 2% 9.221µ ± 2% -4.08% (p=0.003 n=10) PrecompiledModExp/nagydani-4-qube-Gas=5580-14 21.66µ ± 5% 21.48µ ± 17% ~ (p=0.971 n=10) PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14 120.7µ ± 8% 116.0µ ± 3% -3.93% (p=0.043 n=10) PrecompiledModExp/nagydani-5-square-Gas=17868-14 23.93µ ± 3% 24.82µ ± 3% +3.73% (p=0.000 n=10) PrecompiledModExp/nagydani-5-qube-Gas=17868-14 54.98µ ± 1% 58.08µ ± 4% +5.64% (p=0.000 n=10) PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14 340.3µ ± 2% 341.2µ ± 3% ~ (p=0.529 n=10) PrecompiledModExpEip2565/eip_example1-Gas=1360-14 21.99µ ± 3% 21.24µ ± 2% -3.43% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example2-Gas=1360-14 568.1n ± 12% 221.1n ± 2% -61.07% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14 1272.0n ± 2% 822.3n ± 13% -35.35% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14 1.633µ ± 3% 1.397µ ± 21% -14.45% (p=0.023 n=10) PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14 7.276µ ± 3% 6.703µ ± 5% -7.88% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14 1.959µ ± 3% 1.618µ ± 2% -17.43% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14 2.959µ ± 6% 2.611µ ± 5% -11.78% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14 14.99µ ± 5% 13.76µ ± 4% -8.17% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14 3.870µ ± 4% 3.521µ ± 2% -9.04% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14 6.871µ ± 3% 6.454µ ± 3% -6.07% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14 40.18µ ± 7% 35.55µ ± 3% -11.52% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14 9.694µ ± 3% 8.427µ ± 3% -13.08% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14 21.45µ ± 2% 19.48µ ± 7% -9.18% (p=0.001 n=10) PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14 118.1µ ± 2% 113.7µ ± 2% -3.76% (p=0.003 n=10) PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14 25.80µ ± 5% 24.05µ ± 3% -6.76% (p=0.001 n=10) PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14 57.28µ ± 8% 55.76µ ± 6% ~ (p=0.796 n=10) PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14 335.2µ ± 2% 346.2µ ± 3% +3.28% (p=0.000 n=10) PrecompiledModExpEip2565/marius-1-even-Gas=2057-14 56.24µ ± 3% 55.53µ ± 1% ~ (p=0.280 n=10) PrecompiledModExpEip2565/guido-1-even-Gas=2298-14 38.74µ ± 3% 38.63µ ± 6% ~ (p=0.631 n=10) PrecompiledModExpEip2565/guido-2-even-Gas=2300-14 61.94µ ± 2% 61.38µ ± 11% ~ (p=0.529 n=10) PrecompiledModExpEip2565/guido-3-even-Gas=5400-14 20.27µ ± 2% 20.19µ ± 5% ~ (p=0.853 n=10) PrecompiledModExpEip2565/guido-4-even-Gas=1026-14 805.8n ± 3% 359.1n ± 2% -55.44% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14 4.717µ ± 5% 3.925µ ± 5% -16.79% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14 15.51µ ± 3% 14.77µ ± 2% -4.76% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14 10.42µ ± 2% 10.01µ ± 5% -3.94% (p=0.011 n=10) PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14 15.99µ ± 4% 15.65µ ± 4% ~ (p=0.190 n=10) PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14 24.45µ ± 2% 23.36µ ± 3% -4.47% (p=0.002 n=10) PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14 34.59µ ± 29% 32.90µ ± 1% -4.90% (p=0.001 n=10) PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14 12.45µ ± 2% 12.00µ ± 16% ~ (p=0.105 n=10) PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14 16.21µ ± 3% 15.58µ ± 6% ~ (p=0.063 n=10) PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14 23.03µ ± 3% 21.34µ ± 2% -7.35% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14 17.44µ ± 3% 16.03µ ± 1% -8.07% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14 21.00µ ± 5% 19.52µ ± 2% -7.04% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14 9.549µ ± 2% 9.322µ ± 2% -2.38% (p=0.005 n=10) PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14 10.74µ ± 1% 10.31µ ± 2% -4.06% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14 11.95µ ± 2% 11.43µ ± 2% -4.33% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14 18.77µ ± 3% 18.10µ ± 2% -3.54% (p=0.002 n=10) PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14 13.58µ ± 1% 13.47µ ± 1% ~ (p=0.280 n=10) PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14 13.61µ ± 3% 13.36µ ± 1% -1.83% (p=0.000 n=10) PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14 6.984µ ± 2% 6.053µ ± 3% -13.33% (p=0.000 n=10) PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14 7.126µ ± 5% 6.344µ ± 7% -10.97% (p=0.000 n=10) PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14 52.41µ ± 22% 49.85µ ± 4% ~ (p=0.089 n=10) PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14 20.93µ ± 32% 20.15µ ± 2% -3.69% (p=0.001 n=10) PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14 19.32µ ± 17% 14.46µ ± 4% -25.16% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14 20.22µ ± 15% 14.30µ ± 3% -29.27% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14 14.33µ ± 3% 13.93µ ± 2% -2.80% (p=0.001 n=10) PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14 24.30µ ± 16% 16.94µ ± 18% -30.30% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14 1477.5n ± 5% 872.8n ± 9% -40.93% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14 2.099µ ± 8% 1.131µ ± 2% -46.13% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14 8.920µ ± 4% 6.356µ ± 2% -28.74% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14 2.227µ ± 4% 1.396µ ± 2% -37.34% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14 3.507µ ± 8% 2.421µ ± 13% -30.97% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14 17.53µ ± 4% 14.17µ ± 5% -19.20% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14 4.801µ ± 12% 3.498µ ± 3% -27.15% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14 8.284µ ± 4% 6.536µ ± 2% -21.10% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14 44.82µ ± 6% 37.01µ ± 24% -17.43% (p=0.007 n=10) PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14 11.742µ ± 4% 9.000µ ± 4% -23.35% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14 27.49µ ± 10% 21.34µ ± 5% -22.35% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14 141.4µ ± 11% 113.4µ ± 3% -19.80% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14 31.46µ ± 5% 23.53µ ± 1% -25.21% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14 78.12µ ± 20% 53.74µ ± 4% -31.20% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14 446.3µ ± 6% 338.5µ ± 2% -24.15% (p=0.000 n=10) PrecompiledModExpEip7883/marius-1-even-Gas=45296-14 71.25µ ± 4% 55.33µ ± 1% -22.34% (p=0.000 n=10) PrecompiledModExpEip7883/guido-1-even-Gas=51136-14 51.06µ ± 14% 38.19µ ± 3% -25.20% (p=0.000 n=10) PrecompiledModExpEip7883/guido-2-even-Gas=51152-14 86.12µ ± 20% 60.65µ ± 2% -29.57% (p=0.000 n=10) PrecompiledModExpEip7883/guido-3-even-Gas=32400-14 27.53µ ± 32% 20.37µ ± 2% -26.02% (p=0.000 n=10) PrecompiledModExpEip7883/guido-4-even-Gas=94448-14 950.4n ± 5% 354.8n ± 28% -62.67% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14 5.619µ ± 7% 4.440µ ± 5% -20.98% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14 19.03µ ± 19% 15.67µ ± 22% -17.63% (p=0.003 n=10) PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14 13.83µ ± 19% 10.91µ ± 10% -21.16% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14 23.69µ ± 9% 17.79µ ± 13% -24.91% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14 38.86µ ± 12% 25.69µ ± 14% -33.89% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14 51.47µ ± 28% 33.67µ ± 15% -34.58% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14 16.69µ ± 17% 12.08µ ± 2% -27.60% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14 19.75µ ± 5% 16.13µ ± 11% -18.36% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14 28.66µ ± 9% 22.47µ ± 4% -21.59% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14 20.78µ ± 14% 16.38µ ± 2% -21.17% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14 24.35µ ± 10% 19.62µ ± 1% -19.43% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14 10.312µ ± 4% 9.293µ ± 3% -9.88% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14 11.69µ ± 18% 10.37µ ± 3% -11.27% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14 14.17µ ± 24% 11.60µ ± 6% -18.13% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14 22.03µ ± 8% 18.22µ ± 2% -17.28% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14 16.48µ ± 11% 13.34µ ± 1% -19.04% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14 17.03µ ± 9% 13.44µ ± 1% -21.03% (p=0.000 n=10) PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14 8.123µ ± 14% 5.962µ ± 3% -26.61% (p=0.000 n=10) PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14 8.155µ ± 28% 6.799µ ± 4% -16.64% (p=0.000 n=10) PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14 62.32µ ± 4% 49.82µ ± 1% -20.06% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14 26.90µ ± 7% 20.30µ ± 2% -24.55% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14 17.67µ ± 2% 15.61µ ± 11% -11.66% (p=0.001 n=10) PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14 17.50µ ± 3% 14.88µ ± 8% -14.98% (p=0.002 n=10) PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14 17.32µ ± 2% 14.14µ ± 5% -18.39% (p=0.000 n=10) PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14 21.68µ ± 24% 17.07µ ± 3% -21.25% (p=0.000 n=10) geomean 14.64µ 12.02µ -17.89% │ /tmp/old.txt │ /tmp/new.txt │ │ gas/op │ gas/op vs base │ PrecompiledModExp/eip_example1-Gas=13056-14 13.06k ± 0% 13.06k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/eip_example2-Gas=13056-14 13.06k ± 0% 13.06k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-1-square-Gas=204-14 204.0 ± 0% 204.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-1-qube-Gas=204-14 204.0 ± 0% 204.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14 3.276k ± 0% 3.276k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-2-square-Gas=665-14 665.0 ± 0% 665.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-2-qube-Gas=665-14 665.0 ± 0% 665.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14 10.65k ± 0% 10.65k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-3-square-Gas=1894-14 1.894k ± 0% 1.894k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-3-qube-Gas=1894-14 1.894k ± 0% 1.894k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14 30.31k ± 0% 30.31k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-4-square-Gas=5580-14 5.580k ± 0% 5.580k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-4-qube-Gas=5580-14 5.580k ± 0% 5.580k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14 89.29k ± 0% 89.29k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-5-square-Gas=17868-14 17.87k ± 0% 17.87k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-5-qube-Gas=17868-14 17.87k ± 0% 17.87k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14 285.9k ± 0% 285.9k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/eip_example1-Gas=1360-14 1.360k ± 0% 1.360k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/eip_example2-Gas=1360-14 1.360k ± 0% 1.360k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14 341.0 ± 0% 341.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14 1.365k ± 0% 1.365k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14 341.0 ± 0% 341.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14 341.0 ± 0% 341.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14 5.461k ± 0% 5.461k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14 1.365k ± 0% 1.365k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14 1.365k ± 0% 1.365k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14 21.84k ± 0% 21.84k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14 5.461k ± 0% 5.461k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14 5.461k ± 0% 5.461k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14 87.38k ± 0% 87.38k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marius-1-even-Gas=2057-14 2.057k ± 0% 2.057k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/guido-1-even-Gas=2298-14 2.298k ± 0% 2.298k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/guido-2-even-Gas=2300-14 2.300k ± 0% 2.300k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/guido-3-even-Gas=5400-14 5.400k ± 0% 5.400k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/guido-4-even-Gas=1026-14 1.026k ± 0% 1.026k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14 215.0 ± 0% 215.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14 867.0 ± 0% 867.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14 852.0 ± 0% 852.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14 996.0 ± 0% 996.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14 677.0 ± 0% 677.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14 765.0 ± 0% 765.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14 1.360k ± 0% 1.360k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14 215.0 ± 0% 215.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14 298.0 ± 0% 298.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14 208.0 ± 0% 208.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14 336.0 ± 0% 336.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14 341.0 ± 0% 341.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14 677.0 ± 0% 677.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14 341.0 ± 0% 341.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14 363.0 ± 0% 363.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14 5.461k ± 0% 5.461k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14 298.0 ± 0% 298.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14 425.0 ± 0% 425.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14 501.0 ± 0% 501.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14 506.0 ± 0% 506.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14 200.0 ± 0% 200.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14 500.0 ± 0% 500.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14 500.0 ± 0% 500.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14 2.048k ± 0% 2.048k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14 512.0 ± 0% 512.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14 512.0 ± 0% 512.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14 8.192k ± 0% 8.192k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14 2.048k ± 0% 2.048k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14 2.048k ± 0% 2.048k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14 32.77k ± 0% 32.77k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14 8.192k ± 0% 8.192k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14 8.192k ± 0% 8.192k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14 131.1k ± 0% 131.1k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14 32.77k ± 0% 32.77k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14 32.77k ± 0% 32.77k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14 524.3k ± 0% 524.3k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marius-1-even-Gas=45296-14 45.30k ± 0% 45.30k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/guido-1-even-Gas=51136-14 51.14k ± 0% 51.14k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/guido-2-even-Gas=51152-14 51.15k ± 0% 51.15k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/guido-3-even-Gas=32400-14 32.40k ± 0% 32.40k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/guido-4-even-Gas=94448-14 94.45k ± 0% 94.45k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14 1.152k ± 0% 1.152k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14 16.62k ± 0% 16.62k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14 1.200k ± 0% 1.200k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14 5.202k ± 0% 5.202k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14 16.37k ± 0% 16.37k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14 5.978k ± 0% 5.978k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14 2.032k ± 0% 2.032k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14 4.080k ± 0% 4.080k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14 4.080k ± 0% 4.080k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14 16.62k ± 0% 16.62k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14 24.56k ± 0% 24.56k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14 500.0 ± 0% 500.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14 560.0 ± 0% 560.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14 624.0 ± 0% 624.0 ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14 1.008k ± 0% 1.008k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14 1.024k ± 0% 1.024k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14 2.032k ± 0% 2.032k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14 2.048k ± 0% 2.048k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14 2.178k ± 0% 2.178k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14 32.77k ± 0% 32.77k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14 24.56k ± 0% 24.56k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14 6.128k ± 0% 6.128k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14 2.672k ± 0% 2.672k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14 1.520k ± 0% 1.520k ± 0% ~ (p=1.000 n=10) ¹ PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14 1.008k ± 0% 1.008k ± 0% ~ (p=1.000 n=10) ¹ geomean 2.342k 2.342k +0.00% ¹ all samples are equal │ /tmp/old.txt │ /tmp/new.txt │ │ mgas/s │ mgas/s vs base │ PrecompiledModExp/eip_example1-Gas=13056-14 550.8 ± 4% 585.3 ± 5% +6.26% (p=0.004 n=10) PrecompiledModExp/eip_example2-Gas=13056-14 23.06k ± 11% 48.91k ± 3% +112.09% (p=0.000 n=10) PrecompiledModExp/nagydani-1-square-Gas=204-14 158.7 ± 3% 204.8 ± 3% +29.08% (p=0.000 n=10) PrecompiledModExp/nagydani-1-qube-Gas=204-14 116.3 ± 23% 144.6 ± 14% +24.33% (p=0.000 n=10) PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14 368.3 ± 16% 491.5 ± 2% +33.45% (p=0.000 n=10) PrecompiledModExp/nagydani-2-square-Gas=665-14 315.7 ± 7% 452.9 ± 10% +43.47% (p=0.000 n=10) PrecompiledModExp/nagydani-2-qube-Gas=665-14 211.6 ± 3% 290.6 ± 7% +37.28% (p=0.000 n=10) PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14 721.6 ± 3% 783.8 ± 4% +8.62% (p=0.000 n=10) PrecompiledModExp/nagydani-3-square-Gas=1894-14 475.4 ± 3% 590.0 ± 3% +24.10% (p=0.000 n=10) PrecompiledModExp/nagydani-3-qube-Gas=1894-14 250.1 ± 11% 307.8 ± 3% +23.05% (p=0.000 n=10) PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14 776.1 ± 6% 802.7 ± 5% ~ (p=0.123 n=10) PrecompiledModExp/nagydani-4-square-Gas=5580-14 580.5 ± 2% 605.1 ± 2% +4.25% (p=0.003 n=10) PrecompiledModExp/nagydani-4-qube-Gas=5580-14 257.6 ± 5% 259.8 ± 15% ~ (p=0.971 n=10) PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14 739.7 ± 9% 770.0 ± 3% +4.09% (p=0.043 n=10) PrecompiledModExp/nagydani-5-square-Gas=17868-14 746.6 ± 3% 719.8 ± 3% -3.60% (p=0.000 n=10) PrecompiledModExp/nagydani-5-qube-Gas=17868-14 325.0 ± 1% 307.6 ± 4% -5.35% (p=0.000 n=10) PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14 840.1 ± 2% 838.0 ± 3% ~ (p=0.529 n=10) PrecompiledModExpEip2565/eip_example1-Gas=1360-14 61.84 ± 3% 64.03 ± 2% +3.56% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example2-Gas=1360-14 2.394k ± 11% 6.150k ± 2% +156.89% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14 157.2 ± 2% 243.2 ± 11% +54.66% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14 122.4 ± 3% 143.2 ± 17% +16.90% (p=0.023 n=10) PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14 46.86 ± 3% 50.87 ± 4% +8.55% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14 102.1 ± 3% 123.7 ± 2% +21.17% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14 67.59 ± 5% 76.60 ± 5% +13.34% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14 91.06 ± 5% 99.16 ± 4% +8.90% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14 88.09 ± 4% 96.86 ± 2% +9.96% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14 49.62 ± 3% 52.84 ± 3% +6.48% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14 136.0 ± 6% 153.6 ± 3% +12.94% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14 140.8 ± 3% 161.9 ± 3% +15.02% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14 63.62 ± 2% 70.05 ± 6% +10.12% (p=0.001 n=10) PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14 184.9 ± 2% 192.2 ± 2% +3.92% (p=0.003 n=10) PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14 211.7 ± 5% 227.0 ± 3% +7.25% (p=0.001 n=10) PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14 95.34 ± 9% 97.93 ± 6% ~ (p=0.796 n=10) PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14 260.7 ± 2% 252.4 ± 3% -3.18% (p=0.000 n=10) PrecompiledModExpEip2565/marius-1-even-Gas=2057-14 36.57 ± 3% 37.03 ± 1% ~ (p=0.280 n=10) PrecompiledModExpEip2565/guido-1-even-Gas=2298-14 59.31 ± 3% 59.48 ± 5% ~ (p=0.631 n=10) PrecompiledModExpEip2565/guido-2-even-Gas=2300-14 37.13 ± 2% 37.47 ± 10% ~ (p=0.529 n=10) PrecompiledModExpEip2565/guido-3-even-Gas=5400-14 266.4 ± 2% 267.5 ± 5% ~ (p=0.838 n=10) PrecompiledModExpEip2565/guido-4-even-Gas=1026-14 1.274k ± 3% 2.857k ± 3% +124.34% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14 42.39 ± 5% 50.95 ± 5% +20.18% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14 13.86 ± 3% 14.55 ± 2% +5.02% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14 19.19 ± 2% 19.98 ± 5% +4.09% (p=0.011 n=10) PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14 54.23 ± 4% 55.39 ± 4% ~ (p=0.197 n=10) PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14 34.84 ± 2% 36.47 ± 2% +4.68% (p=0.002 n=10) PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14 28.79 ± 23% 30.27 ± 1% +5.16% (p=0.001 n=10) PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14 54.37 ± 2% 56.42 ± 14% ~ (p=0.093 n=10) PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14 47.19 ± 3% 49.11 ± 6% ~ (p=0.063 n=10) PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14 59.05 ± 3% 63.73 ± 2% +7.94% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14 12.32 ± 3% 13.41 ± 1% +8.81% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14 14.19 ± 5% 15.26 ± 2% +7.58% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14 20.94 ± 2% 21.45 ± 2% +2.41% (p=0.005 n=10) PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14 18.61 ± 1% 19.40 ± 2% +4.25% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14 17.40 ± 2% 18.19 ± 2% +4.54% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14 17.90 ± 3% 18.55 ± 2% +3.66% (p=0.002 n=10) PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14 25.10 ± 1% 25.30 ± 1% ~ (p=0.306 n=10) PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14 49.74 ± 3% 50.66 ± 1% +1.86% (p=0.000 n=10) PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14 48.82 ± 2% 56.33 ± 3% +15.38% (p=0.000 n=10) PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14 50.94 ± 5% 57.22 ± 6% +12.33% (p=0.000 n=10) PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14 104.2 ± 18% 109.5 ± 4% ~ (p=0.085 n=10) PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14 14.23 ± 24% 14.78 ± 2% +3.83% (p=0.001 n=10) PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14 22.01 ± 20% 29.39 ± 4% +33.55% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14 24.78 ± 17% 35.03 ± 3% +41.38% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14 35.30 ± 3% 36.31 ± 2% +2.88% (p=0.001 n=10) PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14 8.250 ± 14% 11.805 ± 15% +43.09% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14 338.4 ± 5% 574.2 ± 9% +69.72% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14 238.3 ± 7% 442.1 ± 2% +85.54% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14 229.6 ± 4% 322.2 ± 2% +40.32% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14 229.9 ± 4% 366.8 ± 2% +59.55% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14 146.1 ± 7% 211.8 ± 11% +44.98% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14 467.2 ± 4% 578.3 ± 5% +23.77% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14 426.6 ± 11% 585.5 ± 3% +37.26% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14 247.2 ± 4% 313.4 ± 2% +26.76% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14 731.1 ± 5% 885.5 ± 19% +21.11% (p=0.007 n=10) PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14 697.7 ± 4% 910.3 ± 4% +30.47% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14 298.0 ± 9% 383.8 ± 5% +28.75% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14 926.6 ± 10% 1155.5 ± 3% +24.70% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14 1.042k ± 5% 1.393k ± 1% +33.64% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14 419.5 ± 16% 609.7 ± 4% +45.33% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14 1.175k ± 5% 1.549k ± 2% +31.89% (p=0.000 n=10) PrecompiledModExpEip7883/marius-1-even-Gas=45296-14 635.8 ± 4% 818.6 ± 1% +28.76% (p=0.000 n=10) PrecompiledModExpEip7883/guido-1-even-Gas=51136-14 1.002k ± 13% 1.339k ± 3% +33.66% (p=0.000 n=10) PrecompiledModExpEip7883/guido-2-even-Gas=51152-14 594.0 ± 17% 843.3 ± 2% +41.97% (p=0.000 n=10) PrecompiledModExpEip7883/guido-3-even-Gas=32400-14 1.177k ± 24% 1.591k ± 2% +35.17% (p=0.000 n=10) PrecompiledModExpEip7883/guido-4-even-Gas=94448-14 99.37k ± 5% 266.13k ± 22% +167.81% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14 205.0 ± 7% 259.5 ± 5% +26.56% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14 873.8 ± 16% 1061.0 ± 18% +21.43% (p=0.003 n=10) PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14 86.77 ± 16% 110.00 ± 9% +26.77% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14 219.6 ± 8% 293.5 ± 12% +33.67% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14 421.2 ± 14% 637.2 ± 13% +51.28% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14 116.2 ± 22% 177.6 ± 13% +52.86% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14 121.8 ± 14% 168.1 ± 2% +38.11% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14 206.6 ± 5% 253.0 ± 10% +22.49% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14 142.4 ± 8% 181.6 ± 4% +27.57% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14 799.9 ± 12% 1014.5 ± 2% +26.84% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14 1.009k ± 9% 1.252k ± 1% +24.05% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14 48.48 ± 4% 53.80 ± 3% +10.96% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14 47.91 ± 15% 53.99 ± 3% +12.70% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14 44.05 ± 19% 53.80 ± 6% +22.12% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14 45.75 ± 8% 55.31 ± 2% +20.90% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14 62.24 ± 12% 76.77 ± 1% +23.34% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14 119.3 ± 8% 151.1 ± 1% +26.66% (p=0.000 n=10) PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14 252.2 ± 12% 343.6 ± 3% +36.25% (p=0.000 n=10) PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14 267.1 ± 22% 320.4 ± 5% +19.91% (p=0.000 n=10) PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14 525.9 ± 3% 657.7 ± 1% +25.07% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14 913.0 ± 7% 1210.0 ± 1% +32.52% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14 346.8 ± 2% 392.7 ± 10% +13.24% (p=0.001 n=10) PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14 152.7 ± 3% 179.7 ± 8% +17.65% (p=0.002 n=10) PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14 87.73 ± 2% 107.55 ± 4% +22.59% (p=0.000 n=10) PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14 46.50 ± 20% 59.03 ± 3% +26.97% (p=0.000 n=10) geomean 159.9 194.8 +21.79% │ /tmp/old.txt │ /tmp/new.txt │ │ B/op │ B/op vs base │ PrecompiledModExp/eip_example1-Gas=13056-14 2.595Ki ± 0% 2.282Ki ± 0% -12.04% (p=0.000 n=10) PrecompiledModExp/eip_example2-Gas=13056-14 672.0 ± 0% 352.0 ± 0% -47.62% (p=0.000 n=10) PrecompiledModExp/nagydani-1-square-Gas=204-14 1160.0 ± 0% 888.0 ± 0% -23.45% (p=0.000 n=10) PrecompiledModExp/nagydani-1-qube-Gas=204-14 1.414Ki ± 0% 1.148Ki ± 0% -18.78% (p=0.000 n=10) PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14 1.898Ki ± 0% 1.633Ki ± 0% -13.99% (p=0.000 n=10) PrecompiledModExp/nagydani-2-square-Gas=665-14 1.789Ki ± 0% 1.383Ki ± 0% -22.71% (p=0.000 n=10) PrecompiledModExp/nagydani-2-qube-Gas=665-14 2.321Ki ± 0% 1.915Ki ± 0% -17.50% (p=0.000 n=10) PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14 3.196Ki ± 0% 2.790Ki ± 0% -12.71% (p=0.000 n=10) PrecompiledModExp/nagydani-3-square-Gas=1894-14 2.821Ki ± 0% 2.415Ki ± 0% -14.40% (p=0.000 n=10) PrecompiledModExp/nagydani-3-qube-Gas=1894-14 4.010Ki ± 0% 3.604Ki ± 0% -10.13% (p=0.000 n=10) PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14 5.698Ki ± 0% 5.292Ki ± 0% -7.13% (p=0.000 n=10) PrecompiledModExp/nagydani-4-square-Gas=5580-14 5.042Ki ± 0% 4.636Ki ± 0% -8.06% (p=0.000 n=10) PrecompiledModExp/nagydani-4-qube-Gas=5580-14 11.93Ki ± 0% 11.52Ki ± 0% -3.42% (p=0.000 n=10) PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14 15.30Ki ± 0% 14.89Ki ± 0% -2.66% (p=0.000 n=10) PrecompiledModExp/nagydani-5-square-Gas=17868-14 9.616Ki ± 0% 9.208Ki ± 0% -4.24% (p=0.000 n=10) PrecompiledModExp/nagydani-5-qube-Gas=17868-14 23.26Ki ± 0% 22.85Ki ± 0% -1.77% (p=0.000 n=10) PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14 31.90Ki ± 0% 31.49Ki ± 0% -1.29% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example1-Gas=1360-14 2.595Ki ± 0% 2.282Ki ± 0% -12.04% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example2-Gas=1360-14 672.0 ± 0% 352.0 ± 0% -47.62% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14 1160.0 ± 0% 888.0 ± 0% -23.45% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14 1.414Ki ± 0% 1.148Ki ± 0% -18.78% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14 1.898Ki ± 0% 1.633Ki ± 0% -13.99% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14 1.648Ki ± 0% 1.383Ki ± 0% -16.11% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14 2.181Ki ± 0% 1.914Ki ± 0% -12.23% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14 3.056Ki ± 0% 2.790Ki ± 0% -8.69% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14 2.681Ki ± 0% 2.415Ki ± 0% -9.91% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14 3.869Ki ± 0% 3.604Ki ± 0% -6.87% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14 5.558Ki ± 0% 5.292Ki ± 0% -4.78% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14 4.901Ki ± 0% 4.636Ki ± 0% -5.42% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14 11.78Ki ± 0% 11.52Ki ± 0% -2.25% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14 15.16Ki ± 0% 14.89Ki ± 0% -1.76% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14 9.475Ki ± 0% 9.209Ki ± 0% -2.80% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14 23.12Ki ± 0% 22.85Ki ± 0% -1.15% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14 31.75Ki ± 0% 31.49Ki ± 0% -0.83% (p=0.000 n=10) PrecompiledModExpEip2565/marius-1-even-Gas=2057-14 2.501Ki ± 0% 2.134Ki ± 0% -14.68% (p=0.000 n=10) PrecompiledModExpEip2565/guido-1-even-Gas=2298-14 2.470Ki ± 0% 2.103Ki ± 0% -14.87% (p=0.000 n=10) PrecompiledModExpEip2565/guido-2-even-Gas=2300-14 2.587Ki ± 0% 2.228Ki ± 0% -13.89% (p=0.000 n=10) PrecompiledModExpEip2565/guido-3-even-Gas=5400-14 8.271Ki ± 0% 8.014Ki ± 0% -3.12% (p=0.000 n=10) PrecompiledModExpEip2565/guido-4-even-Gas=1026-14 1056.0 ± 0% 680.0 ± 0% -35.61% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14 2.954Ki ± 0% 2.696Ki ± 0% -8.73% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14 1.641Ki ± 0% 1.273Ki ± 0% -22.38% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14 1.266Ki ± 0% 1.008Ki ± 0% -20.37% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14 9.555Ki ± 0% 9.296Ki ± 0% -2.71% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14 2.047Ki ± 0% 1.688Ki ± 0% -17.56% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14 1.993Ki ± 0% 1.727Ki ± 0% -13.38% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14 2.587Ki ± 0% 2.282Ki ± 0% -11.78% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14 2.313Ki ± 0% 2.000Ki ± 0% -13.55% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14 2.610Ki ± 0% 2.298Ki ± 0% -11.97% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14 1.860Ki ± 0% 1.492Ki ± 0% -19.79% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14 1.876Ki ± 0% 1.508Ki ± 0% -19.60% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14 1192.0 ± 0% 920.0 ± 0% -22.82% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14 1.305Ki ± 0% 1.039Ki ± 0% -20.36% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14 1184.0 ± 0% 920.0 ± 0% -22.30% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14 1184.0 ± 0% 920.0 ± 0% -22.30% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14 3.071Ki ± 0% 2.767Ki ± 0% -9.92% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14 3.071Ki ± 0% 2.767Ki ± 0% -9.92% (p=0.000 n=10) PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14 3.869Ki ± 0% 3.604Ki ± 0% -6.87% (p=0.000 n=10) PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14 3.986Ki ± 0% 3.729Ki ± 0% -6.47% (p=0.000 n=10) PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14 24.12Ki ± 0% 23.85Ki ± 0% -1.10% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14 1.931Ki ± 0% 1.563Ki ± 0% -19.02% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14 2.438Ki ± 0% 2.071Ki ± 0% -15.06% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14 2.798Ki ± 0% 2.485Ki ± 0% -11.17% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14 3.080Ki ± 0% 2.774Ki ± 0% -9.92% (p=0.000 n=10) PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14 1064.0 ± 0% 800.0 ± 0% -24.81% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14 1152.0 ± 0% 888.0 ± 0% -22.92% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14 1.406Ki ± 0% 1.148Ki ± 0% -18.33% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14 1.891Ki ± 0% 1.633Ki ± 0% -13.64% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14 1.641Ki ± 0% 1.383Ki ± 0% -15.71% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14 2.173Ki ± 0% 1.915Ki ± 0% -11.87% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14 3.048Ki ± 0% 2.790Ki ± 0% -8.46% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14 2.673Ki ± 0% 2.415Ki ± 0% -9.65% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14 3.861Ki ± 0% 3.604Ki ± 0% -6.68% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14 5.550Ki ± 0% 5.292Ki ± 0% -4.65% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14 4.894Ki ± 0% 4.636Ki ± 0% -5.27% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14 11.78Ki ± 0% 11.52Ki ± 0% -2.20% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14 15.15Ki ± 0% 14.89Ki ± 0% -1.71% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14 9.468Ki ± 0% 9.208Ki ± 0% -2.74% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14 23.11Ki ± 0% 22.85Ki ± 0% -1.13% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14 31.75Ki ± 0% 31.49Ki ± 0% -0.81% (p=0.000 n=10) PrecompiledModExpEip7883/marius-1-even-Gas=45296-14 2.548Ki ± 0% 2.134Ki ± 0% -16.25% (p=0.000 n=10) PrecompiledModExpEip7883/guido-1-even-Gas=51136-14 2.517Ki ± 0% 2.103Ki ± 0% -16.45% (p=0.000 n=10) PrecompiledModExpEip7883/guido-2-even-Gas=51152-14 2.642Ki ± 0% 2.228Ki ± 0% -15.67% (p=0.000 n=10) PrecompiledModExpEip7883/guido-3-even-Gas=32400-14 8.271Ki ± 0% 8.014Ki ± 0% -3.12% (p=0.000 n=10) PrecompiledModExpEip7883/guido-4-even-Gas=94448-14 1104.0 ± 0% 680.0 ± 0% -38.41% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14 2.954Ki ± 0% 2.696Ki ± 0% -8.73% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14 1.688Ki ± 0% 1.273Ki ± 0% -24.54% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14 1.266Ki ± 0% 1.008Ki ± 0% -20.37% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14 9.554Ki ± 0% 9.296Ki ± 0% -2.70% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14 2.102Ki ± 0% 1.688Ki ± 0% -19.72% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14 1.985Ki ± 0% 1.727Ki ± 0% -13.03% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14 2.634Ki ± 0% 2.282Ki ± 0% -13.35% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14 2.368Ki ± 0% 2.000Ki ± 0% -15.55% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14 2.665Ki ± 0% 2.298Ki ± 0% -13.78% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14 1.907Ki ± 0% 1.492Ki ± 0% -21.76% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14 1.923Ki ± 0% 1.508Ki ± 0% -21.58% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14 1240.0 ± 0% 920.0 ± 0% -25.81% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14 1.352Ki ± 0% 1.039Ki ± 0% -23.12% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14 1240.0 ± 0% 920.0 ± 0% -25.81% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14 1240.0 ± 0% 920.0 ± 0% -25.81% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14 3.118Ki ± 0% 2.767Ki ± 0% -11.27% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14 3.118Ki ± 0% 2.767Ki ± 0% -11.27% (p=0.000 n=10) PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14 3.861Ki ± 0% 3.604Ki ± 0% -6.68% (p=0.000 n=10) PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14 3.986Ki ± 0% 3.729Ki ± 0% -6.47% (p=0.000 n=10) PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14 24.12Ki ± 0% 23.85Ki ± 0% -1.09% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14 1.978Ki ± 0% 1.562Ki ± 0% -20.99% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14 2.485Ki ± 0% 2.071Ki ± 0% -16.66% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14 2.853Ki ± 0% 2.485Ki ± 0% -12.87% (p=0.000 n=10) PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14 3.127Ki ± 0% 2.774Ki ± 0% -11.27% (p=0.000 n=10) PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14 1120.0 ± 0% 800.0 ± 0% -28.57% (p=0.000 n=10) geomean 3.164Ki 2.718Ki -14.08% │ /tmp/old.txt │ /tmp/new.txt │ │ allocs/op │ allocs/op vs base │ PrecompiledModExp/eip_example1-Gas=13056-14 37.00 ± 0% 30.00 ± 0% -18.92% (p=0.000 n=10) PrecompiledModExp/eip_example2-Gas=13056-14 13.000 ± 0% 6.000 ± 0% -53.85% (p=0.000 n=10) PrecompiledModExp/nagydani-1-square-Gas=204-14 18.00 ± 0% 10.00 ± 0% -44.44% (p=0.000 n=10) PrecompiledModExp/nagydani-1-qube-Gas=204-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExp/nagydani-2-square-Gas=665-14 23.00 ± 0% 10.00 ± 0% -56.52% (p=0.000 n=10) PrecompiledModExp/nagydani-2-qube-Gas=665-14 24.00 ± 0% 11.00 ± 0% -54.17% (p=0.000 n=10) PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14 27.00 ± 0% 14.00 ± 0% -48.15% (p=0.000 n=10) PrecompiledModExp/nagydani-3-square-Gas=1894-14 23.00 ± 0% 10.00 ± 0% -56.52% (p=0.000 n=10) PrecompiledModExp/nagydani-3-qube-Gas=1894-14 24.00 ± 0% 11.00 ± 0% -54.17% (p=0.000 n=10) PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14 27.00 ± 0% 14.00 ± 0% -48.15% (p=0.000 n=10) PrecompiledModExp/nagydani-4-square-Gas=5580-14 23.00 ± 0% 10.00 ± 0% -56.52% (p=0.000 n=10) PrecompiledModExp/nagydani-4-qube-Gas=5580-14 25.00 ± 0% 12.00 ± 0% -52.00% (p=0.000 n=10) PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14 28.00 ± 0% 15.00 ± 0% -46.43% (p=0.000 n=10) PrecompiledModExp/nagydani-5-square-Gas=17868-14 24.00 ± 0% 11.00 ± 0% -54.17% (p=0.000 n=10) PrecompiledModExp/nagydani-5-qube-Gas=17868-14 26.00 ± 0% 13.00 ± 0% -50.00% (p=0.000 n=10) PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14 44.00 ± 0% 31.00 ± 0% -29.55% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example1-Gas=1360-14 37.00 ± 0% 30.00 ± 0% -18.92% (p=0.000 n=10) PrecompiledModExpEip2565/eip_example2-Gas=1360-14 13.000 ± 0% 6.000 ± 0% -53.85% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14 18.00 ± 0% 10.00 ± 0% -44.44% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14 18.00 ± 0% 10.00 ± 0% -44.44% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14 18.00 ± 0% 10.00 ± 0% -44.44% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14 18.00 ± 0% 10.00 ± 0% -44.44% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14 20.00 ± 0% 12.00 ± 0% -40.00% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14 23.00 ± 0% 15.00 ± 0% -34.78% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14 21.00 ± 0% 13.00 ± 0% -38.10% (p=0.000 n=10) PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14 39.00 ± 0% 31.00 ± 0% -20.51% (p=0.000 n=10) PrecompiledModExpEip2565/marius-1-even-Gas=2057-14 52.00 ± 0% 43.00 ± 0% -17.31% (p=0.000 n=10) PrecompiledModExpEip2565/guido-1-even-Gas=2298-14 55.00 ± 0% 46.00 ± 0% -16.36% (p=0.000 n=10) PrecompiledModExpEip2565/guido-2-even-Gas=2300-14 52.00 ± 0% 44.00 ± 0% -15.38% (p=0.000 n=10) PrecompiledModExpEip2565/guido-3-even-Gas=5400-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip2565/guido-4-even-Gas=1026-14 18.000 ± 0% 9.000 ± 0% -50.00% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14 37.00 ± 0% 28.00 ± 0% -24.32% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14 36.00 ± 0% 28.00 ± 0% -22.22% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14 23.00 ± 0% 15.00 ± 0% -34.78% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14 36.00 ± 0% 28.00 ± 0% -22.22% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14 35.00 ± 0% 28.00 ± 0% -20.00% (p=0.000 n=10) PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14 35.00 ± 0% 28.00 ± 0% -20.00% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14 50.00 ± 0% 41.00 ± 0% -18.00% (p=0.000 n=10) PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14 50.00 ± 0% 41.00 ± 0% -18.00% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14 21.00 ± 0% 13.00 ± 0% -38.10% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14 20.00 ± 0% 13.00 ± 0% -35.00% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14 20.00 ± 0% 13.00 ± 0% -35.00% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14 52.00 ± 0% 44.00 ± 0% -15.38% (p=0.000 n=10) PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14 52.00 ± 0% 44.00 ± 0% -15.38% (p=0.000 n=10) PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14 19.00 ± 0% 11.00 ± 0% -42.11% (p=0.000 n=10) PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14 22.00 ± 0% 14.00 ± 0% -36.36% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14 52.00 ± 0% 43.00 ± 0% -17.31% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14 54.00 ± 0% 45.00 ± 0% -16.67% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14 52.00 ± 0% 45.00 ± 0% -13.46% (p=0.000 n=10) PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14 53.00 ± 0% 45.00 ± 0% -15.09% (p=0.000 n=10) PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14 17.00 ± 0% 10.00 ± 0% -41.18% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14 21.00 ± 0% 14.00 ± 0% -33.33% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14 17.00 ± 0% 10.00 ± 0% -41.18% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14 21.00 ± 0% 14.00 ± 0% -33.33% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14 17.00 ± 0% 10.00 ± 0% -41.18% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14 21.00 ± 0% 14.00 ± 0% -33.33% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14 17.00 ± 0% 10.00 ± 0% -41.18% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14 22.00 ± 0% 15.00 ± 0% -31.82% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14 20.00 ± 0% 13.00 ± 0% -35.00% (p=0.000 n=10) PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14 38.00 ± 0% 31.00 ± 0% -18.42% (p=0.000 n=10) PrecompiledModExpEip7883/marius-1-even-Gas=45296-14 53.00 ± 0% 43.00 ± 0% -18.87% (p=0.000 n=10) PrecompiledModExpEip7883/guido-1-even-Gas=51136-14 56.00 ± 0% 46.00 ± 0% -17.86% (p=0.000 n=10) PrecompiledModExpEip7883/guido-2-even-Gas=51152-14 54.00 ± 0% 44.00 ± 0% -18.52% (p=0.000 n=10) PrecompiledModExpEip7883/guido-3-even-Gas=32400-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip7883/guido-4-even-Gas=94448-14 19.000 ± 0% 9.000 ± 0% -52.63% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14 38.00 ± 0% 28.00 ± 0% -26.32% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14 19.00 ± 0% 12.00 ± 0% -36.84% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14 38.00 ± 0% 28.00 ± 0% -26.32% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14 22.00 ± 0% 15.00 ± 0% -31.82% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14 37.00 ± 0% 28.00 ± 0% -24.32% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14 37.00 ± 0% 28.00 ± 0% -24.32% (p=0.000 n=10) PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14 37.00 ± 0% 28.00 ± 0% -24.32% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14 51.00 ± 0% 41.00 ± 0% -19.61% (p=0.000 n=10) PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14 51.00 ± 0% 41.00 ± 0% -19.61% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14 22.00 ± 0% 13.00 ± 0% -40.91% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14 23.00 ± 0% 14.00 ± 0% -39.13% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14 22.00 ± 0% 13.00 ± 0% -40.91% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14 22.00 ± 0% 13.00 ± 0% -40.91% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14 53.00 ± 0% 44.00 ± 0% -16.98% (p=0.000 n=10) PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14 53.00 ± 0% 44.00 ± 0% -16.98% (p=0.000 n=10) PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14 18.00 ± 0% 11.00 ± 0% -38.89% (p=0.000 n=10) PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14 18.00 ± …
1 parent d95ca2e commit b381804

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3 files changed

+613
-110
lines changed

3 files changed

+613
-110
lines changed

core/vm/contracts.go

Lines changed: 193 additions & 110 deletions
Original file line numberDiff line numberDiff line change
@@ -24,6 +24,7 @@ import (
2424
"maps"
2525
"math"
2626
"math/big"
27+
"math/bits"
2728

2829
"github.com/consensys/gnark-crypto/ecc"
2930
bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381"
@@ -38,6 +39,7 @@ import (
3839
"github.com/ethereum/go-ethereum/crypto/kzg4844"
3940
"github.com/ethereum/go-ethereum/crypto/secp256r1"
4041
"github.com/ethereum/go-ethereum/params"
42+
"github.com/holiman/uint256"
4143
"golang.org/x/crypto/ripemd160"
4244
)
4345

@@ -378,142 +380,223 @@ type bigModExp struct {
378380
eip7883 bool
379381
}
380382

381-
var (
382-
big1 = big.NewInt(1)
383-
big3 = big.NewInt(3)
384-
big7 = big.NewInt(7)
385-
big20 = big.NewInt(20)
386-
big32 = big.NewInt(32)
387-
big64 = big.NewInt(64)
388-
big96 = big.NewInt(96)
389-
big480 = big.NewInt(480)
390-
big1024 = big.NewInt(1024)
391-
big3072 = big.NewInt(3072)
392-
big199680 = big.NewInt(199680)
393-
)
394-
395-
// modexpMultComplexity implements bigModexp multComplexity formula, as defined in EIP-198
383+
// byzantiumMultComplexity implements the bigModexp multComplexity formula, as defined in EIP-198.
396384
//
397385
// def mult_complexity(x):
398386
// if x <= 64: return x ** 2
399387
// elif x <= 1024: return x ** 2 // 4 + 96 * x - 3072
400388
// else: return x ** 2 // 16 + 480 * x - 199680
401389
//
402390
// where is x is max(length_of_MODULUS, length_of_BASE)
403-
func modexpMultComplexity(x *big.Int) *big.Int {
391+
// returns MaxUint64 if an overflow occurred.
392+
func byzantiumMultComplexity(x uint64) uint64 {
404393
switch {
405-
case x.Cmp(big64) <= 0:
406-
x.Mul(x, x) // x ** 2
407-
case x.Cmp(big1024) <= 0:
408-
// (x ** 2 // 4 ) + ( 96 * x - 3072)
409-
x = new(big.Int).Add(
410-
new(big.Int).Rsh(new(big.Int).Mul(x, x), 2),
411-
new(big.Int).Sub(new(big.Int).Mul(big96, x), big3072),
412-
)
394+
case x <= 64:
395+
return x * x
396+
case x <= 1024:
397+
// x^2 / 4 + 96*x - 3072
398+
return x*x/4 + 96*x - 3072
399+
413400
default:
414-
// (x ** 2 // 16) + (480 * x - 199680)
415-
x = new(big.Int).Add(
416-
new(big.Int).Rsh(new(big.Int).Mul(x, x), 4),
417-
new(big.Int).Sub(new(big.Int).Mul(big480, x), big199680),
418-
)
401+
// For large x, use uint256 arithmetic to avoid overflow
402+
// x^2 / 16 + 480*x - 199680
403+
404+
// xSqr = x^2 / 16
405+
carry, xSqr := bits.Mul64(x, x)
406+
if carry != 0 {
407+
return math.MaxUint64
408+
}
409+
xSqr = xSqr >> 4
410+
411+
// Calculate 480 * x (can't overflow if x^2 didn't overflow)
412+
x480 := x * 480
413+
// Calculate 480 * x - 199680 (will not underflow, since x > 1024)
414+
x480 = x480 - 199680
415+
416+
// xSqr + x480
417+
sum, carry := bits.Add64(xSqr, x480, 0)
418+
if carry != 0 {
419+
return math.MaxUint64
420+
}
421+
return sum
422+
}
423+
}
424+
425+
// berlinMultComplexity implements the multiplication complexity formula for Berlin.
426+
//
427+
// def mult_complexity(x):
428+
//
429+
// ceiling(x/8)^2
430+
//
431+
// where is x is max(length_of_MODULUS, length_of_BASE)
432+
func berlinMultComplexity(x uint64) uint64 {
433+
// x = (x + 7) / 8
434+
x, carry := bits.Add64(x, 7, 0)
435+
if carry != 0 {
436+
return math.MaxUint64
437+
}
438+
x /= 8
439+
440+
// x^2
441+
carry, x = bits.Mul64(x, x)
442+
if carry != 0 {
443+
return math.MaxUint64
419444
}
420445
return x
421446
}
422447

448+
// osakaMultComplexity implements the multiplication complexity formula for Osaka.
449+
//
450+
// For x <= 32: returns 16
451+
// For x > 32: returns 2 * ceiling(x/8)^2
452+
func osakaMultComplexity(x uint64) uint64 {
453+
if x <= 32 {
454+
return 16
455+
}
456+
// For x > 32, return 2 * berlinMultComplexity(x)
457+
result := berlinMultComplexity(x)
458+
carry, result := bits.Mul64(result, 2)
459+
if carry != 0 {
460+
return math.MaxUint64
461+
}
462+
return result
463+
}
464+
465+
// modexpIterationCount calculates the number of iterations for the modexp precompile.
466+
// This is the adjusted exponent length used in gas calculation.
467+
func modexpIterationCount(expLen uint64, expHead uint256.Int, multiplier uint64) uint64 {
468+
var iterationCount uint64
469+
470+
// For large exponents (expLen > 32), add (expLen - 32) * multiplier
471+
if expLen > 32 {
472+
iterationCount = (expLen - 32) * multiplier
473+
}
474+
475+
// Add the MSB position - 1 if expHead is non-zero
476+
if bitLen := expHead.BitLen(); bitLen > 0 {
477+
iterationCount += uint64(bitLen - 1)
478+
}
479+
480+
return max(iterationCount, 1)
481+
}
482+
483+
// byzantiumModexpGas calculates the gas cost for the modexp precompile using Byzantium rules.
484+
func byzantiumModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
485+
const (
486+
multiplier = 8
487+
divisor = 20
488+
)
489+
490+
maxLen := max(baseLen, modLen)
491+
multComplexity := byzantiumMultComplexity(maxLen)
492+
if multComplexity == math.MaxUint64 {
493+
return math.MaxUint64
494+
}
495+
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
496+
497+
// Calculate gas: (multComplexity * iterationCount) / divisor
498+
carry, gas := bits.Mul64(iterationCount, multComplexity)
499+
gas /= divisor
500+
if carry != 0 {
501+
return math.MaxUint64
502+
}
503+
return gas
504+
}
505+
506+
// berlinModexpGas calculates the gas cost for the modexp precompile using Berlin rules.
507+
func berlinModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
508+
const (
509+
multiplier = 8
510+
divisor = 3
511+
minGas = 200
512+
)
513+
514+
maxLen := max(baseLen, modLen)
515+
multComplexity := berlinMultComplexity(maxLen)
516+
if multComplexity == math.MaxUint64 {
517+
return math.MaxUint64
518+
}
519+
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
520+
521+
// Calculate gas: (multComplexity * iterationCount) / divisor
522+
carry, gas := bits.Mul64(iterationCount, multComplexity)
523+
gas /= divisor
524+
if carry != 0 {
525+
return math.MaxUint64
526+
}
527+
return max(gas, minGas)
528+
}
529+
530+
// osakaModexpGas calculates the gas cost for the modexp precompile using Osaka rules.
531+
func osakaModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
532+
const (
533+
multiplier = 16
534+
divisor = 3
535+
minGas = 500
536+
)
537+
538+
maxLen := max(baseLen, modLen)
539+
multComplexity := osakaMultComplexity(maxLen)
540+
if multComplexity == math.MaxUint64 {
541+
return math.MaxUint64
542+
}
543+
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
544+
545+
// Calculate gas: (multComplexity * iterationCount) / osakaDivisor
546+
carry, gas := bits.Mul64(iterationCount, multComplexity)
547+
if carry != 0 {
548+
return math.MaxUint64
549+
}
550+
return max(gas, minGas)
551+
}
552+
423553
// RequiredGas returns the gas required to execute the pre-compiled contract.
424554
func (c *bigModExp) RequiredGas(input []byte) uint64 {
425-
var (
426-
baseLen = new(big.Int).SetBytes(getData(input, 0, 32))
427-
expLen = new(big.Int).SetBytes(getData(input, 32, 32))
428-
modLen = new(big.Int).SetBytes(getData(input, 64, 32))
429-
)
555+
// Parse input lengths
556+
baseLenBig := new(uint256.Int).SetBytes(getData(input, 0, 32))
557+
expLenBig := new(uint256.Int).SetBytes(getData(input, 32, 32))
558+
modLenBig := new(uint256.Int).SetBytes(getData(input, 64, 32))
559+
560+
// Convert to uint64, capping at max value
561+
baseLen := baseLenBig.Uint64()
562+
if !baseLenBig.IsUint64() {
563+
baseLen = math.MaxUint64
564+
}
565+
expLen := expLenBig.Uint64()
566+
if !expLenBig.IsUint64() {
567+
expLen = math.MaxUint64
568+
}
569+
modLen := modLenBig.Uint64()
570+
if !modLenBig.IsUint64() {
571+
modLen = math.MaxUint64
572+
}
573+
574+
// Skip the header
430575
if len(input) > 96 {
431576
input = input[96:]
432577
} else {
433578
input = input[:0]
434579
}
580+
435581
// Retrieve the head 32 bytes of exp for the adjusted exponent length
436-
var expHead *big.Int
437-
if big.NewInt(int64(len(input))).Cmp(baseLen) <= 0 {
438-
expHead = new(big.Int)
439-
} else {
440-
if expLen.Cmp(big32) > 0 {
441-
expHead = new(big.Int).SetBytes(getData(input, baseLen.Uint64(), 32))
582+
var expHead uint256.Int
583+
if uint64(len(input)) > baseLen {
584+
if expLen > 32 {
585+
expHead.SetBytes(getData(input, baseLen, 32))
442586
} else {
443-
expHead = new(big.Int).SetBytes(getData(input, baseLen.Uint64(), expLen.Uint64()))
587+
// TODO: Check that if expLen < baseLen, then getData will return an empty slice
588+
expHead.SetBytes(getData(input, baseLen, expLen))
444589
}
445590
}
446-
// Calculate the adjusted exponent length
447-
var msb int
448-
if bitlen := expHead.BitLen(); bitlen > 0 {
449-
msb = bitlen - 1
450-
}
451-
adjExpLen := new(big.Int)
452-
if expLen.Cmp(big32) > 0 {
453-
adjExpLen.Sub(expLen, big32)
454-
if c.eip7883 {
455-
adjExpLen.Lsh(adjExpLen, 4)
456-
} else {
457-
adjExpLen.Lsh(adjExpLen, 3)
458-
}
459-
}
460-
adjExpLen.Add(adjExpLen, big.NewInt(int64(msb)))
461-
// Calculate the gas cost of the operation
462-
gas := new(big.Int)
463-
if modLen.Cmp(baseLen) < 0 {
464-
gas.Set(baseLen)
465-
} else {
466-
gas.Set(modLen)
467-
}
468-
469-
maxLenOver32 := gas.Cmp(big32) > 0
470-
if c.eip2565 {
471-
// EIP-2565 (Berlin fork) has three changes:
472-
//
473-
// 1. Different multComplexity (inlined here)
474-
// in EIP-2565 (https://eips.ethereum.org/EIPS/eip-2565):
475-
//
476-
// def mult_complexity(x):
477-
// ceiling(x/8)^2
478-
//
479-
// where is x is max(length_of_MODULUS, length_of_BASE)
480-
gas.Add(gas, big7)
481-
gas.Rsh(gas, 3)
482-
gas.Mul(gas, gas)
483-
484-
var minPrice uint64 = 200
485-
if c.eip7883 {
486-
minPrice = 500
487-
if maxLenOver32 {
488-
gas.Add(gas, gas)
489-
} else {
490-
gas = big.NewInt(16)
491-
}
492-
}
493-
494-
if adjExpLen.Cmp(big1) > 0 {
495-
gas.Mul(gas, adjExpLen)
496-
}
497-
// 2. Different divisor (`GQUADDIVISOR`) (3)
498-
if !c.eip7883 {
499-
gas.Div(gas, big3)
500-
}
501-
if gas.BitLen() > 64 {
502-
return math.MaxUint64
503-
}
504-
return max(minPrice, gas.Uint64())
505-
}
506591

507-
// Pre-Berlin logic.
508-
gas = modexpMultComplexity(gas)
509-
if adjExpLen.Cmp(big1) > 0 {
510-
gas.Mul(gas, adjExpLen)
511-
}
512-
gas.Div(gas, big20)
513-
if gas.BitLen() > 64 {
514-
return math.MaxUint64
592+
// Choose the appropriate gas calculation based on the EIP flags
593+
if c.eip7883 {
594+
return osakaModexpGas(baseLen, expLen, modLen, expHead)
595+
} else if c.eip2565 {
596+
return berlinModexpGas(baseLen, expLen, modLen, expHead)
597+
} else {
598+
return byzantiumModexpGas(baseLen, expLen, modLen, expHead)
515599
}
516-
return gas.Uint64()
517600
}
518601

519602
func (c *bigModExp) Run(input []byte) ([]byte, error) {

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