Date:Tuesday, January 4th, 2022
Commit:93ef6e20 on main
Hostname:warfa with Racket 8.1
Seed:2022004
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: 5.4min)

series1.5min (26.8%)

Counts
277 → 5612
Calls

265 calls:

20.2s
(+.f32 (*.f32 (neg.f32 s) (log1p.f32 (sqrt.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.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))))
9.9s
(exp.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
9.1s
(pow.f32 (E.f32) (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)))
5.9s
(*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.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)))
5.8s
(*.f32 (neg.f32 s) (log1p.f32 (sqrt.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))

regimes1.4min (26.7%)

Counts
7180 → 25
Compiler

Compiled 2158986 to 1457810 computations (32.5% saved)

sample59.3s (18.2%)

Algorithm
50×intervals
Results
28.3s206396×body128valid
7.8s211139×pre128true
415.0ms4739×body128nan
61.0ms1069×pre128false
0.0msbody256valid
Compiler

Compiled 12952 to 8911 computations (31.2% saved)

prune51.0s (15.7%)

Counts
26600 → 969
Compiler

Compiled 1430920 to 816676 computations (42.9% saved)

simplify17.6s (5.4%)

Algorithm
144×egg-herbie
Rules
52869×fma-def_binary32
30971×fma-neg_binary32
30588×times-frac_binary32
26523×associate-*l*_binary32
23513×associate-*r*_binary32
Counts
17385 → 18947

analyze13.7s (4.2%)

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)

localize5.3s (1.6%)

rewrite4.1s (1.3%)

Algorithm
94×rewrite-expression-head
Rules
6543×times-frac_binary32
4990×add-sqr-sqrt_binary32
4504×*-un-lft-identity_binary32
3937×add-cube-cbrt_binary32
3253×pow1_binary32
Counts
277 → 11748
Calls

265 calls:

81.0ms
(*.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (*.f32 314159265359/50000000000 (*.f32 (*.f32 u2 u2) u2)))
70.0ms
(*.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (*.f32 2 (PI.f32))) (*.f32 2 (PI.f32))) (*.f32 (*.f32 u2 u2) u2))
63.0ms
(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
62.0ms
(*.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fabs.f32 (cbrt.f32 (PI.f32)))) (/.f32 (/.f32 1 cosTheta) (sqrt.f32 (cbrt.f32 (PI.f32)))))
53.0ms
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))

end74.0ms (0%)

Compiler

Compiled 1047 to 759 computations (27.5% saved)

Profiling

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