Date:Tuesday, March 22nd, 2022
Commit:355cac72 on demo-preconditions
Hostname:warfa with Racket 8.1
Seed:2022081
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: 4.8min)

regimes1.2min (25.4%)

Counts
6221 → 25
Compiler

Compiled 1793386 to 1248636 computations (30.4% saved)

sample1.0min (21.6%)

Results
57.7s206398×body128valid
1.4s5819×body128invalid
1.0msbody256valid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

series58.3s (20.3%)

Counts
280 → 5301
Calls

267 calls:

9.8s
(pow.f32 (E.f32) (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
9.5s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
2.0s
(*.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 (pow.f32 1 3) (pow.f32 c 3)) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (cbrt.f32 (PI.f32)))))) (*.f32 (+.f32 (*.f32 1 1) (-.f32 (*.f32 c c) (*.f32 1 c))) (sqrt.f32 (fma.f32 cosTheta -2 1))))) (*.f32 (+.f32 (*.f32 1 1) (-.f32 (*.f32 c c) (*.f32 1 c))) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (cbrt.f32 (PI.f32)))))))
2.0s
(*.f32 (+.f32 (log.f32 (sqrt.f32 (sqrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (log.f32 (sqrt.f32 (sqrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (neg.f32 s))
1.9s
(cbrt.f32 (exp.f32 (+.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (log.f32 (/.f32 1/2 v)))))

prune47.1s (16.4%)

Counts
23682 → 1021
Compiler

Compiled 1250840 to 732271 computations (41.5% saved)

simplify15.4s (5.4%)

Algorithm
146×egg-herbie
Rules
54125×fma-def_binary32
33098×fma-neg_binary32
28623×times-frac_binary32
25574×associate-*l*_binary32
23636×associate-*r*_binary32
Counts
14757 → 15999

analyze15.0s (5.2%)

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 (2.2%)

end6.2s (2.2%)

Compiler

Compiled 12801 to 8770 computations (31.5% saved)

rewrite3.8s (1.3%)

Algorithm
96×rewrite-expression-head
Rules
3486×add-exp-log_binary32
2812×add-sqr-sqrt_binary32
2456×*-un-lft-identity_binary32
2450×add-cbrt-cube_binary32
2112×pow1_binary32
Counts
280 → 9431
Calls

267 calls:

93.0ms
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))
79.0ms
(*.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)))))))))
74.0ms
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))) (/.f32 h (cbrt.f32 (pow.f32 (sqrt.f32 (-.f32 eta (/.f32 sinTheta_O (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))) 3))))
67.0ms
(*.f32 (*.f32 (*.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (*.f32 (*.f32 u2 u2) u2)))
67.0ms
(log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))

Profiling

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