Date:Tuesday, March 8th, 2022
Commit:f5bf406d on demo-preconditions
Hostname:warfa with Racket 8.1
Seed:2022067
Parameters:256 points for 4 iterations
Flags:
precision:fallbackreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplify
default

Details

Time bar (total: 5.3min)

regimes1.4min (25.6%)

Counts
6704 → 25
Compiler

Compiled 2118130 to 1468504 computations (30.7% saved)

series1.1min (21.1%)

Counts
271 → 4816
Calls

259 calls:

10.4s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
9.9s
(pow.f32 (E.f32) (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
6.7s
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 (*.f32 4 (*.f32 (fma.f32 maxCos (*.f32 ux ux) ux) (fma.f32 maxCos (*.f32 ux ux) ux))) (*.f32 (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 2 (*.f32 maxCos (pow.f32 ux 2))) (*.f32 2 ux)) (+.f32 (pow.f32 ux 2) (+.f32 (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)) (*.f32 2 (*.f32 maxCos ux)))))))
5.8s
(/.f32 (log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 (*.f32 4 (*.f32 (fma.f32 maxCos (*.f32 ux ux) ux) (fma.f32 maxCos (*.f32 ux ux) ux))) (*.f32 (fma.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux) (*.f32 2 (*.f32 maxCos ux))) (fma.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux) (*.f32 2 (*.f32 maxCos ux))))))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 2 (*.f32 maxCos (pow.f32 ux 2))) (*.f32 2 ux)) (+.f32 (pow.f32 ux 2) (+.f32 (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)) (*.f32 2 (*.f32 maxCos ux)))))))
2.4s
(/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (*.f32 (pow.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1) 3) (*.f32 (pow.f32 (pow.f32 (PI.f32) (sqrt.f32 3)) (sqrt.f32 3)) (pow.f32 (*.f32 2 (log.f32 alpha)) 3))))

sample1.1min (20.1%)

Results
59.3s206399×body128valid
1.6s5760×body128invalid
0.0msbody256valid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

prune51.8s (16.3%)

Counts
23158 → 957
Compiler

Compiled 1493709 to 905997 computations (39.3% saved)

simplify20.1s (6.4%)

Algorithm
144×egg-herbie
Rules
52712×fma-def_binary32
33627×fma-neg_binary32
30092×times-frac_binary32
24662×associate-*l*_binary32
22608×associate-*r*_binary32
Counts
15205 → 16479

analyze15.4s (4.9%)

Algorithm
25×search
Search
TrueOtherFalseIter
0%3.2%96.8%0
0%3.2%96.8%1
0.3%2.9%96.8%2
1.4%1.8%96.8%3
1.5%1.6%96.8%4
2.1%1.1%96.8%5
2.2%0.9%96.9%6
2.4%0.6%96.9%7
2.5%0.6%96.9%8
2.6%0.4%96.9%9
2.7%0.4%97%10
2.8%0.3%97%11
2.8%0.2%97%12
2.8%0.2%97%13
2.8%0.1%97%14
Compiler

Compiled 1220 to 881 computations (27.8% saved)

localize6.5s (2.1%)

end6.3s (2%)

Compiler

Compiled 12449 to 8524 computations (31.5% saved)

rewrite5.1s (1.6%)

Algorithm
94×rewrite-expression-head
Rules
3537×add-exp-log_binary32
3141×pow1_binary32
2847×add-sqr-sqrt_binary32
2788×*-un-lft-identity_binary32
2435×times-frac_binary32
Counts
271 → 10364
Calls

259 calls:

70.0ms
(*.f32 (*.f32 (sqrt.f32 (-.f32 (+.f32 (*.f32 2 (*.f32 maxCos (pow.f32 ux 2))) (*.f32 2 ux)) (+.f32 (pow.f32 ux 2) (+.f32 (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)) (*.f32 2 (*.f32 maxCos ux)))))) (sqrt.f32 (-.f32 (+.f32 (*.f32 2 (*.f32 maxCos (pow.f32 ux 2))) (*.f32 2 ux)) (+.f32 (pow.f32 ux 2) (+.f32 (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)) (*.f32 2 (*.f32 maxCos ux))))))) (sqrt.f32 (-.f32 (+.f32 (*.f32 2 (*.f32 maxCos (pow.f32 ux 2))) (*.f32 2 ux)) (+.f32 (pow.f32 ux 2) (+.f32 (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)) (*.f32 2 (*.f32 maxCos ux)))))))
46.0ms
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
45.0ms
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 1 (/.f32 alphax (/.f32 cos2phi alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
43.0ms
(*.f32 (/.f32 1 (+.f32 (*.f32 (-.f32 (*.f32 1 1) (*.f32 c c)) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (*.f32 cosTheta (pow.f32 (exp.f32 cosTheta) cosTheta))))) (*.f32 (-.f32 1 c) (sqrt.f32 (fma.f32 cosTheta -2 1))))) (*.f32 (-.f32 1 c) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (*.f32 cosTheta (pow.f32 (exp.f32 cosTheta) cosTheta))))))
42.0ms
(-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)

Profiling

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