math/rand/v2: delete Mitchell/Reeds source
These slowdowns are because we are now using PCG instead of the
Mitchell/Reeds LFSR for the benchmarks. PCG is in fact a bit slower
(but generates statically far better random numbers).
goos: linux
goarch: amd64
pkg: math/rand/v2
cpu: AMD Ryzen 9 7950X 16-Core Processor
│
01ff938549.amd64 │
afa459a2f0.amd64 │
│ sec/op │ sec/op vs base │
PCG_DXSM-32 1.490n ± 0% 1.488n ± 2% ~ (p=0.408 n=20)
SourceUint64-32 1.352n ± 1% 1.450n ± 3% +7.21% (p=0.000 n=20)
GlobalInt64-32 2.083n ± 0% 2.067n ± 2% ~ (p=0.223 n=20)
GlobalInt64Parallel-32 0.1035n ± 1% 0.1044n ± 2% ~ (p=0.010 n=20)
GlobalUint64-32 2.038n ± 1% 2.085n ± 0% +2.28% (p=0.000 n=20)
GlobalUint64Parallel-32 0.1006n ± 1% 0.1008n ± 1% ~ (p=0.733 n=20)
Int64-32 1.687n ± 2% 1.779n ± 1% +5.48% (p=0.000 n=20)
Uint64-32 1.674n ± 2% 1.854n ± 2% +10.69% (p=0.000 n=20)
GlobalIntN1000-32 3.135n ± 1% 3.140n ± 3% ~ (p=0.794 n=20)
IntN1000-32 2.478n ± 1% 2.496n ± 1% +0.73% (p=0.006 n=20)
Int64N1000-32 2.455n ± 1% 2.510n ± 2% +2.22% (p=0.000 n=20)
Int64N1e8-32 2.467n ± 2% 2.471n ± 2% ~ (p=0.050 n=20)
Int64N1e9-32 2.454n ± 1% 2.488n ± 2% +1.39% (p=0.000 n=20)
Int64N2e9-32 2.482n ± 1% 2.478n ± 2% ~ (p=0.066 n=20)
Int64N1e18-32 3.349n ± 2% 3.088n ± 1% -7.81% (p=0.000 n=20)
Int64N2e18-32 3.537n ± 1% 3.493n ± 1% -1.24% (p=0.002 n=20)
Int64N4e18-32 4.917n ± 0% 5.060n ± 2% +2.91% (p=0.000 n=20)
Int32N1000-32 2.386n ± 1% 2.620n ± 1% +9.76% (p=0.000 n=20)
Int32N1e8-32 2.366n ± 1% 2.652n ± 0% +12.11% (p=0.000 n=20)
Int32N1e9-32 2.355n ± 2% 2.644n ± 1% +12.32% (p=0.000 n=20)
Int32N2e9-32 2.371n ± 1% 2.619n ± 2% +10.48% (p=0.000 n=20)
Float32-32 2.245n ± 2% 2.261n ± 1% ~ (p=0.625 n=20)
Float64-32 2.235n ± 1% 2.241n ± 2% ~ (p=0.393 n=20)
ExpFloat64-32 3.813n ± 3% 3.716n ± 1% -2.53% (p=0.000 n=20)
NormFloat64-32 3.652n ± 2% 3.718n ± 1% +1.79% (p=0.006 n=20)
Perm3-32 33.12n ± 3% 34.11n ± 2% ~ (p=0.021 n=20)
Perm30-32 205.1n ± 1% 200.6n ± 0% -2.17% (p=0.000 n=20)
Perm30ViaShuffle-32 110.8n ± 1% 109.7n ± 1% -0.99% (p=0.002 n=20)
ShuffleOverhead-32 113.0n ± 1% 107.2n ± 1% -5.09% (p=0.000 n=20)
Concurrent-32 2.100n ± 0% 2.108n ± 6% ~ (p=0.103 n=20)
goos: darwin
goarch: arm64
pkg: math/rand/v2
│
01ff938549.arm64 │
afa459a2f0.arm64 │
│ sec/op │ sec/op vs base │
PCG_DXSM-8 2.531n ± 0% 2.531n ± 0% ~ (p=0.763 n=20)
SourceUint64-8 2.258n ± 1% 2.531n ± 0% +12.09% (p=0.000 n=20)
GlobalInt64-8 2.167n ± 0% 2.177n ± 1% ~ (p=0.213 n=20)
GlobalInt64Parallel-8 0.4310n ± 0% 0.4319n ± 0% ~ (p=0.027 n=20)
GlobalUint64-8 2.182n ± 1% 2.185n ± 1% ~ (p=0.683 n=20)
GlobalUint64Parallel-8 0.4297n ± 0% 0.4295n ± 1% ~ (p=0.941 n=20)
Int64-8 2.472n ± 1% 4.104n ± 0% +66.00% (p=0.000 n=20)
Uint64-8 2.449n ± 1% 4.080n ± 0% +66.60% (p=0.000 n=20)
GlobalIntN1000-8 2.814n ± 2% 2.814n ± 1% ~ (p=0.972 n=20)
IntN1000-8 2.998n ± 2% 4.140n ± 0% +38.09% (p=0.000 n=20)
Int64N1000-8 2.949n ± 2% 4.139n ± 0% +40.35% (p=0.000 n=20)
Int64N1e8-8 2.953n ± 2% 4.140n ± 0% +40.22% (p=0.000 n=20)
Int64N1e9-8 2.950n ± 0% 4.139n ± 0% +40.32% (p=0.000 n=20)
Int64N2e9-8 2.946n ± 2% 4.140n ± 0% +40.53% (p=0.000 n=20)
Int64N1e18-8 3.779n ± 1% 5.273n ± 0% +39.52% (p=0.000 n=20)
Int64N2e18-8 4.370n ± 1% 6.059n ± 0% +38.65% (p=0.000 n=20)
Int64N4e18-8 6.544n ± 1% 8.803n ± 0% +34.52% (p=0.000 n=20)
Int32N1000-8 2.950n ± 0% 4.131n ± 0% +40.06% (p=0.000 n=20)
Int32N1e8-8 2.950n ± 2% 4.131n ± 0% +40.03% (p=0.000 n=20)
Int32N1e9-8 2.951n ± 2% 4.131n ± 0% +39.99% (p=0.000 n=20)
Int32N2e9-8 2.950n ± 2% 4.131n ± 0% +40.03% (p=0.000 n=20)
Float32-8 3.441n ± 0% 4.110n ± 0% +19.44% (p=0.000 n=20)
Float64-8 3.442n ± 0% 4.104n ± 0% +19.24% (p=0.000 n=20)
ExpFloat64-8 4.481n ± 0% 5.338n ± 0% +19.11% (p=0.000 n=20)
NormFloat64-8 4.725n ± 0% 5.731n ± 0% +21.28% (p=0.000 n=20)
Perm3-8 26.55n ± 0% 26.62n ± 0% +0.28% (p=0.000 n=20)
Perm30-8 181.9n ± 0% 194.6n ± 2% +6.98% (p=0.000 n=20)
Perm30ViaShuffle-8 142.9n ± 0% 156.4n ± 0% +9.45% (p=0.000 n=20)
ShuffleOverhead-8 120.8n ± 2% 125.8n ± 0% +4.10% (p=0.000 n=20)
Concurrent-8 2.421n ± 6% 2.654n ± 6% +9.67% (p=0.002 n=20)
goos: linux
goarch: 386
pkg: math/rand/v2
cpu: AMD Ryzen 9 7950X 16-Core Processor
│
01ff938549.386 │
afa459a2f0.386 │
│ sec/op │ sec/op vs base │
PCG_DXSM-32 7.613n ± 1% 7.793n ± 2% +2.38% (p=0.000 n=20)
SourceUint64-32 2.069n ± 0% 7.680n ± 1% +271.19% (p=0.000 n=20)
GlobalInt64-32 3.456n ± 1% 3.474n ± 3% ~ (p=0.654 n=20)
GlobalInt64Parallel-32 0.3252n ± 0% 0.3253n ± 0% ~ (p=0.952 n=20)
GlobalUint64-32 3.573n ± 1% 3.433n ± 2% -3.92% (p=0.000 n=20)
GlobalUint64Parallel-32 0.3159n ± 0% 0.3156n ± 0% ~ (p=0.223 n=20)
Int64-32 2.562n ± 2% 7.707n ± 1% +200.74% (p=0.000 n=20)
Uint64-32 2.592n ± 0% 7.714n ± 1% +197.65% (p=0.000 n=20)
GlobalIntN1000-32 6.266n ± 2% 6.236n ± 1% ~ (p=0.039 n=20)
IntN1000-32 4.724n ± 2% 10.410n ± 1% +120.39% (p=0.000 n=20)
Int64N1000-32 5.490n ± 2% 10.975n ± 2% +99.89% (p=0.000 n=20)
Int64N1e8-32 5.513n ± 2% 10.980n ± 1% +99.15% (p=0.000 n=20)
Int64N1e9-32 5.476n ± 1% 10.950n ± 0% +99.96% (p=0.000 n=20)
Int64N2e9-32 5.501n ± 2% 11.110n ± 1% +101.96% (p=0.000 n=20)
Int64N1e18-32 9.043n ± 2% 15.180n ± 2% +67.86% (p=0.000 n=20)
Int64N2e18-32 9.601n ± 2% 15.610n ± 1% +62.60% (p=0.000 n=20)
Int64N4e18-32 12.00n ± 1% 19.23n ± 2% +60.14% (p=0.000 n=20)
Int32N1000-32 4.829n ± 2% 10.345n ± 1% +114.25% (p=0.000 n=20)
Int32N1e8-32 4.825n ± 2% 10.330n ± 1% +114.09% (p=0.000 n=20)
Int32N1e9-32 4.830n ± 2% 10.350n ± 1% +114.26% (p=0.000 n=20)
Int32N2e9-32 4.750n ± 2% 10.345n ± 1% +117.81% (p=0.000 n=20)
Float32-32 10.89n ± 4% 13.57n ± 1% +24.61% (p=0.000 n=20)
Float64-32 19.60n ± 4% 22.95n ± 4% +17.12% (p=0.000 n=20)
ExpFloat64-32 12.96n ± 3% 15.23n ± 2% +17.47% (p=0.000 n=20)
NormFloat64-32 7.516n ± 1% 13.780n ± 1% +83.34% (p=0.000 n=20)
Perm3-32 36.78n ± 2% 46.62n ± 2% +26.72% (p=0.000 n=20)
Perm30-32 238.9n ± 2% 400.7n ± 1% +67.73% (p=0.000 n=20)
Perm30ViaShuffle-32 189.7n ± 2% 350.5n ± 1% +84.79% (p=0.000 n=20)
ShuffleOverhead-32 159.8n ± 1% 326.0n ± 2% +104.01% (p=0.000 n=20)
Concurrent-32 3.286n ± 1% 3.290n ± 0% ~ (p=0.743 n=20)
On the other hand, compared to the original "update benchmarks" CL,
the cleanups we've made more than compensate for PCG being a bit
slower than LFSR, at least on 64-bit x86. ARM64 (Apple M1) is a bit
slower: perhaps the 64x64→128 multiply is slower there for some reason.
386 is noticeably slower, but it's also a non-SSA backend.
goos: linux
goarch: amd64
pkg: math/rand/v2
cpu: AMD Ryzen 9 7950X 16-Core Processor
│
220860f76f.amd64 │
afa459a2f0.amd64 │
│ sec/op │ sec/op vs base │
SourceUint64-32 1.555n ± 1% 1.450n ± 3% -6.78% (p=0.000 n=20)
GlobalInt64-32 2.071n ± 1% 2.067n ± 2% ~ (p=0.673 n=20)
GlobalInt63Parallel-32 0.1023n ± 1%
GlobalInt64Parallel-32 0.1044n ± 2%
GlobalUint64-32 5.193n ± 1% 2.085n ± 0% -59.86% (p=0.000 n=20)
GlobalUint64Parallel-32 0.2341n ± 0% 0.1008n ± 1% -56.93% (p=0.000 n=20)
Int64-32 2.056n ± 2% 1.779n ± 1% -13.47% (p=0.000 n=20)
Uint64-32 2.077n ± 2% 1.854n ± 2% -10.74% (p=0.000 n=20)
GlobalIntN1000-32 4.077n ± 2% 3.140n ± 3% -22.98% (p=0.000 n=20)
IntN1000-32 3.476n ± 2% 2.496n ± 1% -28.19% (p=0.000 n=20)
Int64N1000-32 3.059n ± 1% 2.510n ± 2% -17.96% (p=0.000 n=20)
Int64N1e8-32 2.942n ± 1% 2.471n ± 2% -15.98% (p=0.000 n=20)
Int64N1e9-32 2.932n ± 1% 2.488n ± 2% -15.14% (p=0.000 n=20)
Int64N2e9-32 2.925n ± 1% 2.478n ± 2% -15.30% (p=0.000 n=20)
Int64N1e18-32 3.116n ± 1% 3.088n ± 1% ~ (p=0.013 n=20)
Int64N2e18-32 4.067n ± 1% 3.493n ± 1% -14.11% (p=0.000 n=20)
Int64N4e18-32 4.054n ± 1% 5.060n ± 2% +24.80% (p=0.000 n=20)
Int32N1000-32 2.951n ± 1% 2.620n ± 1% -11.22% (p=0.000 n=20)
Int32N1e8-32 3.102n ± 1% 2.652n ± 0% -14.50% (p=0.000 n=20)
Int32N1e9-32 3.535n ± 1% 2.644n ± 1% -25.20% (p=0.000 n=20)
Int32N2e9-32 3.514n ± 1% 2.619n ± 2% -25.47% (p=0.000 n=20)
Float32-32 2.760n ± 1% 2.261n ± 1% -18.06% (p=0.000 n=20)
Float64-32 2.284n ± 1% 2.241n ± 2% ~ (p=0.016 n=20)
ExpFloat64-32 3.757n ± 1% 3.716n ± 1% ~ (p=0.034 n=20)
NormFloat64-32 3.837n ± 1% 3.718n ± 1% -3.09% (p=0.000 n=20)
Perm3-32 35.23n ± 2% 34.11n ± 2% -3.19% (p=0.000 n=20)
Perm30-32 208.8n ± 1% 200.6n ± 0% -3.93% (p=0.000 n=20)
Perm30ViaShuffle-32 111.7n ± 1% 109.7n ± 1% -1.84% (p=0.000 n=20)
ShuffleOverhead-32 101.1n ± 1% 107.2n ± 1% +6.03% (p=0.000 n=20)
Concurrent-32 2.108n ± 7% 2.108n ± 6% ~ (p=0.644 n=20)
PCG_DXSM-32 1.488n ± 2%
goos: darwin
goarch: arm64
pkg: math/rand/v2
cpu: Apple M1
│
220860f76f.arm64 │
afa459a2f0.arm64 │
│ sec/op │ sec/op vs base │
SourceUint64-8 2.316n ± 1% 2.531n ± 0% +9.33% (p=0.000 n=20)
GlobalInt64-8 2.183n ± 1% 2.177n ± 1% ~ (p=0.533 n=20)
GlobalInt63Parallel-8 0.4331n ± 0%
GlobalInt64Parallel-8 0.4319n ± 0%
GlobalUint64-8 4.377n ± 2% 2.185n ± 1% -50.07% (p=0.000 n=20)
GlobalUint64Parallel-8 0.9237n ± 0% 0.4295n ± 1% -53.50% (p=0.000 n=20)
Int64-8 2.538n ± 1% 4.104n ± 0% +61.68% (p=0.000 n=20)
Uint64-8 2.604n ± 1% 4.080n ± 0% +56.68% (p=0.000 n=20)
GlobalIntN1000-8 3.857n ± 2% 2.814n ± 1% -27.04% (p=0.000 n=20)
IntN1000-8 3.822n ± 2% 4.140n ± 0% +8.32% (p=0.000 n=20)
Int64N1000-8 3.318n ± 0% 4.139n ± 0% +24.74% (p=0.000 n=20)
Int64N1e8-8 3.349n ± 1% 4.140n ± 0% +23.64% (p=0.000 n=20)
Int64N1e9-8 3.317n ± 2% 4.139n ± 0% +24.80% (p=0.000 n=20)
Int64N2e9-8 3.317n ± 2% 4.140n ± 0% +24.81% (p=0.000 n=20)
Int64N1e18-8 3.542n ± 1% 5.273n ± 0% +48.85% (p=0.000 n=20)
Int64N2e18-8 5.087n ± 0% 6.059n ± 0% +19.12% (p=0.000 n=20)
Int64N4e18-8 5.084n ± 0% 8.803n ± 0% +73.16% (p=0.000 n=20)
Int32N1000-8 3.208n ± 2% 4.131n ± 0% +28.79% (p=0.000 n=20)
Int32N1e8-8 3.610n ± 1% 4.131n ± 0% +14.43% (p=0.000 n=20)
Int32N1e9-8 4.235n ± 0% 4.131n ± 0% -2.44% (p=0.000 n=20)
Int32N2e9-8 4.229n ± 1% 4.131n ± 0% -2.33% (p=0.000 n=20)
Float32-8 3.468n ± 0% 4.110n ± 0% +18.50% (p=0.000 n=20)
Float64-8 3.447n ± 0% 4.104n ± 0% +19.05% (p=0.000 n=20)
ExpFloat64-8 4.567n ± 0% 5.338n ± 0% +16.86% (p=0.000 n=20)
NormFloat64-8 4.821n ± 0% 5.731n ± 0% +18.89% (p=0.000 n=20)
Perm3-8 28.89n ± 0% 26.62n ± 0% -7.84% (p=0.000 n=20)
Perm30-8 175.7n ± 0% 194.6n ± 2% +10.76% (p=0.000 n=20)
Perm30ViaShuffle-8 153.5n ± 0% 156.4n ± 0% +1.86% (p=0.000 n=20)
ShuffleOverhead-8 119.8n ± 1% 125.8n ± 0% +4.97% (p=0.000 n=20)
Concurrent-8 2.433n ± 3% 2.654n ± 6% +9.13% (p=0.001 n=20)
PCG_DXSM-8 2.531n ± 0%
goos: linux
goarch: 386
pkg: math/rand/v2
cpu: AMD Ryzen 9 7950X 16-Core Processor
│
220860f76f.386 │
afa459a2f0.386 │
│ sec/op │ sec/op vs base │
SourceUint64-32 2.370n ± 1% 7.680n ± 1% +224.05% (p=0.000 n=20)
GlobalInt64-32 3.569n ± 1% 3.474n ± 3% -2.66% (p=0.001 n=20)
GlobalInt63Parallel-32 0.3221n ± 1%
GlobalInt64Parallel-32 0.3253n ± 0%
GlobalUint64-32 8.797n ± 10% 3.433n ± 2% -60.98% (p=0.000 n=20)
GlobalUint64Parallel-32 0.6351n ± 0% 0.3156n ± 0% -50.31% (p=0.000 n=20)
Int64-32 2.612n ± 2% 7.707n ± 1% +195.04% (p=0.000 n=20)
Uint64-32 3.350n ± 1% 7.714n ± 1% +130.25% (p=0.000 n=20)
GlobalIntN1000-32 5.892n ± 1% 6.236n ± 1% +5.82% (p=0.000 n=20)
IntN1000-32 4.546n ± 1% 10.410n ± 1% +128.97% (p=0.000 n=20)
Int64N1000-32 14.59n ± 1% 10.97n ± 2% -24.75% (p=0.000 n=20)
Int64N1e8-32 14.76n ± 2% 10.98n ± 1% -25.58% (p=0.000 n=20)
Int64N1e9-32 16.57n ± 1% 10.95n ± 0% -33.90% (p=0.000 n=20)
Int64N2e9-32 14.54n ± 1% 11.11n ± 1% -23.62% (p=0.000 n=20)
Int64N1e18-32 16.14n ± 1% 15.18n ± 2% -5.95% (p=0.000 n=20)
Int64N2e18-32 18.10n ± 1% 15.61n ± 1% -13.73% (p=0.000 n=20)
Int64N4e18-32 18.65n ± 1% 19.23n ± 2% +3.08% (p=0.000 n=20)
Int32N1000-32 3.560n ± 1% 10.345n ± 1% +190.55% (p=0.000 n=20)
Int32N1e8-32 3.770n ± 2% 10.330n ± 1% +174.01% (p=0.000 n=20)
Int32N1e9-32 4.098n ± 0% 10.350n ± 1% +152.53% (p=0.000 n=20)
Int32N2e9-32 4.179n ± 1% 10.345n ± 1% +147.52% (p=0.000 n=20)
Float32-32 21.18n ± 4% 13.57n ± 1% -35.93% (p=0.000 n=20)
Float64-32 20.60n ± 2% 22.95n ± 4% +11.41% (p=0.000 n=20)
ExpFloat64-32 13.07n ± 0% 15.23n ± 2% +16.48% (p=0.000 n=20)
NormFloat64-32 7.738n ± 2% 13.780n ± 1% +78.08% (p=0.000 n=20)
Perm3-32 36.73n ± 1% 46.62n ± 2% +26.91% (p=0.000 n=20)
Perm30-32 211.9n ± 1% 400.7n ± 1% +89.05% (p=0.000 n=20)
Perm30ViaShuffle-32 165.2n ± 1% 350.5n ± 1% +112.20% (p=0.000 n=20)
ShuffleOverhead-32 133.9n ± 1% 326.0n ± 2% +143.37% (p=0.000 n=20)
Concurrent-32 3.287n ± 2% 3.290n ± 0% ~ (p=0.365 n=20)
PCG_DXSM-32 7.793n ± 2%
For #61716.
Change-Id: I4e9c0525b5f84a2ac46f23da9e365495e2d05777
Reviewed-on: https://go-review.googlesource.com/c/go/+/502506
Reviewed-by: Rob Pike <r@golang.org>
Reviewed-by: Dmitri Shuralyov <dmitshur@google.com>
Auto-Submit: Russ Cox <rsc@golang.org>
LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com>