Date:Monday, May 30th, 2022
Commit:7412e954 on taylor-nroot
Hostname:warfa with Racket 8.1
Seed:2022150
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: 4.3min)

series1.5min (36.1%)

Counts
284 → 5136
Calls

270 calls:

41.4s
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 -1 (-.f32 (/.f32 (+.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))))) 2)) (/.f32 -1 (cbrt.f32 (-.f32 (/.f32 (+.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))))) -1)
14.3s
(pow.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 ux (-.f32 2 ux))) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (fma.f32 ux (*.f32 ux (*.f32 maxCos (pow.f32 (*.f32 ux (-.f32 2 ux)) -1/2))) (*.f32 (*.f32 (*.f32 maxCos maxCos) (pow.f32 ux 3)) (pow.f32 (*.f32 ux (-.f32 2 ux)) -3/2)))))) 3)
7.1s
(*.f32 (neg.f32 s) (log.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 -1 (-.f32 (/.f32 (+.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))))))) 3)))
4.2s
(pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 -1 (-.f32 (/.f32 (+.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))))))) 3)
2.7s
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) 6931/10000)) (log.f32 (/.f32 1/2 v))) 2))

sample56.9s (22.2%)

Results
54.0s206399×body128valid
1.4s5888×body128invalid
0.0msbody256valid
Compiler

Compiled 3103 to 2231 computations (28.1% saved)

regimes40.4s (15.8%)

Counts
3747 → 25
Compiler

Compiled 1131333 to 813100 computations (28.1% saved)

prune29.8s (11.6%)

Counts
16077 → 983
Compiler

Compiled 914259 to 580981 computations (36.5% saved)

analyze14.2s (5.6%)

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 (2.4%)

simplify6.1s (2.4%)

Algorithm
146×egg-herbie
Rules
45223×fma-def_binary32
26729×fma-neg_binary32
21525×cancel-sign-sub-inv_binary32
20903×times-frac_binary32
20426×associate-*l*_binary32
Stop Event
100×node limit
46×saturated
Counts
12524 → 10915

end5.2s (2%)

Compiler

Compiled 10138 to 7211 computations (28.9% saved)

rewrite4.8s (1.9%)

Algorithm
96×batch-egg-rewrite
Rules
31743×expm1-log1p-u_binary32
31029×log1p-expm1-u_binary32
21462×prod-diff_binary32
13730×log-prod_binary32
12767×add-log-exp_binary32
Stop Event
96×node limit
Counts
284 → 7363
Calls

270 calls:

180.0ms
(*.f32 uy (*.f32 2 (PI.f32)))
125.0ms
(fma.f32 (-.f32 (fma.f32 ux maxCos 1) ux) (-.f32 ux (fma.f32 ux maxCos 1)) 1)
121.0ms
(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))
121.0ms
(/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))
121.0ms
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))

Profiling

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