Date:Wednesday, March 9th, 2022
Commit:888bede2 on demo-preconditions
Hostname:warfa with Racket 8.1
Seed:2022068
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: 8.0min)

series3.9min (48.4%)

Counts
264 → 5127
Calls

255 calls:

26.6s
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 (pow.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) 3) (pow.f32 (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))) 3)))) (sqrt.f32 (+.f32 (*.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux))) (+.f32 (*.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)))) (*.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))))))))
10.6s
(pow.f32 (E.f32) (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
10.3s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
6.3s
(/.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1) (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1))
5.7s
(/.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 ux (+.f32 (*.f32 2 maxCos) (*.f32 (fma.f32 maxCos maxCos 1) ux))) (*.f32 ux (+.f32 (*.f32 2 maxCos) (*.f32 (fma.f32 maxCos maxCos 1) ux))))))) (sqrt.f32 (+.f32 (*.f32 2 (fma.f32 maxCos (*.f32 ux ux) ux)) (+.f32 (*.f32 (fma.f32 maxCos maxCos 1) (*.f32 ux ux)) (*.f32 2 (*.f32 maxCos ux))))))

regimes1.4min (18%)

Counts
6639 → 24
Compiler

Compiled 2156983 to 1416719 computations (34.3% saved)

sample1.1min (13.4%)

Results
59.9s206400×body128valid
1.5s5907×body128invalid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

prune48.6s (10.2%)

Counts
24819 → 888
Compiler

Compiled 1346242 to 791941 computations (41.2% saved)

simplify16.9s (3.5%)

Algorithm
143×egg-herbie
Rules
52627×fma-def_binary32
34507×fma-neg_binary32
25713×times-frac_binary32
25140×associate-*l*_binary32
23435×associate-*r*_binary32
Counts
15399 → 16853

analyze15.9s (3.3%)

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)

localize6.2s (1.3%)

end5.1s (1.1%)

Compiler

Compiled 9488 to 6314 computations (33.5% saved)

rewrite3.7s (0.8%)

Algorithm
94×rewrite-expression-head
Rules
5385×times-frac_binary32
4560×*-un-lft-identity_binary32
4554×add-sqr-sqrt_binary32
3231×add-cube-cbrt_binary32
2294×sqrt-prod_binary32
Counts
264 → 10247
Calls

253 calls:

501.0ms
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (sqrt.f32 cos2phi) (/.f32 alphax (/.f32 (sqrt.f32 cos2phi) alphax))) (/.f32 (/.f32 sin2phi alphay) alphay)))
58.0ms
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))) (/.f32 h (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))))
56.0ms
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
52.0ms
(*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
51.0ms
(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) u2))))

Profiling

Loading profile data...