Date:Wednesday, May 11th, 2022
Commit:a0c6e795 on no-fractional-pow
Hostname:warfa with Racket 8.1
Seed:2022131
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: 7.3min)

rewrite2.2min (30.7%)

Algorithm
95×rewrite-expression-head
Rules
1059605×times-frac_binary32
387530×add-sqr-sqrt_binary32
387089×*-un-lft-identity_binary32
386421×add-cube-cbrt_binary32
287041×sqrt-prod_binary32
Counts
274 → 12099
Calls

265 calls:

3.8s
(/.f32 (/.f32 (sqrt.f32 (/.f32 1 v)) (/.f32 1 (/.f32 (sqrt.f32 (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))) 2))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (sqrt.f32 (cbrt.f32 (/.f32 1 v))) (sinh.f32 (/.f32 1 v)))))
261.0ms
(*.f32 (/.f32 cosTheta_i v) (/.f32 (sqrt.f32 (/.f32 1 v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (sqrt.f32 (/.f32 1 v)) (*.f32 2 (sinh.f32 (/.f32 1 v)))))))
55.0ms
(*.f32 (/.f32 (*.f32 (cbrt.f32 h) (cbrt.f32 h)) (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))) (/.f32 (cbrt.f32 h) (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))))
48.0ms
(*.f32 (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))) (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))
45.0ms
(+.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.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 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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))))

regimes1.5min (20.1%)

Counts
6230 → 24
Compiler

Compiled 2154027 to 1495093 computations (30.6% saved)

sample1.1min (14.4%)

Results
58.9s206399×body128valid
1.4s5727×body128invalid
0.0msbody256valid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

prune57.2s (13%)

Counts
25528 → 915
Compiler

Compiled 1363982 to 772670 computations (43.4% saved)

series51.3s (11.7%)

Counts
277 → 5406
Calls

265 calls:

8.2s
(+.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.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 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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))))
7.9s
(+.f32 (*.f32 (neg.f32 s) (log1p.f32 (sqrt.f32 (/.f32 1 (-.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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))))
5.9s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
2.5s
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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)))
1.4s
(*.f32 (/.f32 (*.f32 (cbrt.f32 h) (cbrt.f32 h)) (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))) (/.f32 (cbrt.f32 h) (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))))

simplify18.4s (4.2%)

Algorithm
143×egg-herbie
Rules
52298×fma-def_binary32
31761×fma-neg_binary32
30936×times-frac_binary32
24091×associate-*l*_binary32
23444×associate-/l*_binary32
Counts
17474 → 18839

analyze14.9s (3.4%)

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)

localize6.1s (1.4%)

end5.0s (1.1%)

Compiler

Compiled 9991 to 6765 computations (32.3% saved)

Profiling

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