VandenBroeck and Keller, Equation (20)

Time bar (total: 27.7s)

analyze452.0ms (1.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
7.4%3.5%44.1%0%0%28.1%24.2%9
7.8%3.7%43.9%0%0%28.1%24.2%10
8%3.8%43.8%0%0%28.1%24.2%11
8%3.8%43.8%0%0%28.1%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions
Click to see histograms
Operation ival-neg, total time spent: 24.0ms
Operation ival-mult, total time spent: 62.0ms
Operation ival-log, total time spent: 20.0ms
Operation ival-div, total time spent: 81.0ms
Operation ival-sub, total time spent: 9.0ms
Operation ival-exp, total time spent: 46.0ms
Operation const, total time spent: 6.0ms
Operation ival-add, total time spent: 27.0ms
Operation ival-pi, total time spent: 8.0ms

sample14.3s (51.4%)

Results
5.0s4082×body1024valid
4.9s3839×body1024invalid
1.3s2074×body512valid
1.2s1952×body512invalid
725.0ms363×body2048valid
618.0ms1737×body256valid
427.0ms1142×body256invalid
2.0msbody256unsamplable
Precisions
Click to see histograms
Operation ival-neg, total time spent: 571.0ms
Operation ival-mult, total time spent: 2157.0ms
Operation ival-log, total time spent: 1151.0ms
Operation ival-div, total time spent: 2312.0ms
Operation ival-sub, total time spent: 215.0ms
Operation ival-exp, total time spent: 2296.0ms
Operation const, total time spent: 124.0ms
Operation ival-add, total time spent: 227.0ms
Operation ival-pi, total time spent: 285.0ms
Bogosity

preprocess1.2s (4.2%)

Algorithm
egg-herbie
Rules
1554×fma-def
850×associate-/l*
696×associate-*r/
536×cancel-sign-sub-inv
520×distribute-lft-in
Problems
249×(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033584
198528
2262484
3772484
42705484
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))))
Compiler

Compiled 236 to 175 computations (25.8% saved)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 17.0ms
Operation ival-exp, total time spent: 167.0ms
Operation ival-neg, total time spent: 43.0ms
Operation ival-mult, total time spent: 121.0ms
Operation ival-div, total time spent: 174.0ms
Operation const, total time spent: 10.0ms
Operation ival-add, total time spent: 17.0ms
Operation ival-log, total time spent: 46.0ms
Operation ival-pi, total time spent: 3.0ms

eval3.0ms (0%)

Compiler

Compiled 169 to 118 computations (30.2% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 148 to 114 computations (23% saved)

localize1.9s (6.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
99.2%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))
98.4%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))
10.8%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.2%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.4%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10.8%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 352 to 246 computations (30.1% saved)

Precisions
Click to see histograms
Operation ival-div, total time spent: 303.0ms
Operation const, total time spent: 18.0ms
Operation ival-neg, total time spent: 51.0ms
Operation ival-sub, total time spent: 33.0ms
Operation ival-pow, total time spent: 299.0ms
Operation ival-exp, total time spent: 378.0ms
Operation ival-add, total time spent: 30.0ms
Operation ival-log, total time spent: 80.0ms
Operation ival-mult, total time spent: 141.0ms
Operation ival-pi, total time spent: 3.0ms

series158.0ms (0.6%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
45.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))
36.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
27.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
19.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))
7.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

rewrite163.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
356×associate-*r*
224×associate-*l*
185×add-exp-log
184×log1p-expm1-u
184×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031224
1548224
27541224
Stop Event
unsound
Counts
8 → 128
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify122.0ms (0.4%)

Algorithm
egg-herbie
Rules
1862×fma-def
1378×times-frac
936×distribute-lft-in
930×distribute-rgt-in
830×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01739998
15339238
220508612
Stop Event
node limit
Counts
224 → 89
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/2 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/2 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))) (+.f64 (*.f64 1/2 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
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(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))) (+.f64 (*.f64 1/2 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 -2 (+.f64 (/.f64 f (/.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))) (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))))
(fma.f64 -2 (+.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (PI.f64) 0)) (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0)))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))) 0) 0)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval94.0ms (0.3%)

Compiler

Compiled 4533 to 3415 computations (24.7% saved)

prune43.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked202
Done000
Total801191
Accuracy
97.8%
Counts
91 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
Compiler

Compiled 1212 to 968 computations (20.1% saved)

localize1.4s (5.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
99.6%
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
99.6%
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
99.4%
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
100.0%
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
99.6%
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
98.4%
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
98.4%
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
Compiler

Compiled 561 to 416 computations (25.8% saved)

Precisions
Click to see histograms
Operation const, total time spent: 18.0ms
Operation ival-mult, total time spent: 141.0ms
Operation ival-neg, total time spent: 12.0ms
Operation ival-div, total time spent: 168.0ms
Operation ival-exp, total time spent: 22.0ms
Operation ival-add, total time spent: 6.0ms
Operation ival-log, total time spent: 391.0ms
Operation ival-sub, total time spent: 8.0ms
Operation ival-pow, total time spent: 41.0ms
Operation ival-fma, total time spent: 28.0ms
Operation ival-pi, total time spent: 5.0ms

series180.0ms (0.7%)

Counts
17 → 132
Calls

33 calls:

TimeVariablePointExpression
62.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
28.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
19.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
17.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
17.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))

rewrite159.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
450×times-frac
312×log1p-expm1-u
312×expm1-log1p-u
310×add-exp-log
306×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046505
1748505
Stop Event
node limit
Counts
17 → 435
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 f (*.f64 (PI.f64) 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (pow.f64 (PI.f64) 2)))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/48))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 3) (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 1) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) 1) (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 3))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(/.f64 1 (pow.f64 (/.f64 1 (PI.f64)) 3))
(/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (PI.f64) 6))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (neg.f64 (pow.f64 (PI.f64) 2)) 3))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))) 1)
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
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(+.f64 0 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)) (log.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) f))) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
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(pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(neg.f64 (log.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
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(exp.f64 (log.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)))) 1)
(-.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)) 2))
(log.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (/.f64 1 (PI.f64)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) f))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 1 f) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) f)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 (*.f64 f (PI.f64))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) f) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (*.f64 (PI.f64) 1/2)) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (*.f64 f (PI.f64))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/2))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/2)) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 f (PI.f64))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/2))
(pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(pow.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)) (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))

simplify266.0ms (1%)

Algorithm
egg-herbie
Rules
1012×associate-/l*
672×associate-*r/
598×associate-*l/
502×sqr-pow
446×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095422702
1235319882
Stop Event
node limit
Counts
567 → 564
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3/256 (pow.f64 (PI.f64) 4)) (*.f64 1/256 (pow.f64 (PI.f64) 4))))) (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (PI.f64) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))))))))
(+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f)))
(+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f)))
(+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f)))
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(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
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(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3/256 (pow.f64 (PI.f64) 4)) (*.f64 1/256 (pow.f64 (PI.f64) 4)))) (PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
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(*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
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(*.f64 1/2 (*.f64 f (PI.f64)))
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(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (pow.f64 (PI.f64) 2)))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/48))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (*.f64 (PI.f64) 1/2)) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 2) (*.f64 f (PI.f64))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/2))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/2)) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) f))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 f (PI.f64))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/2))
(pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(pow.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)) (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(neg.f64 (log.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(neg.f64 (log.f64 (*.f64 (/.f64 f 2) (/.f64 (*.f64 (PI.f64) 1/2) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(neg.f64 (log.f64 (/.f64 f (*.f64 (/.f64 4 (PI.f64)) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
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(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
(fabs.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))
(log1p.f64 (-.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (fma.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(log1p.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(-.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(-.f64 (*.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)) 4) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) -1/4))
(/.f64 (neg.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f)))) (*.f64 (PI.f64) -1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))) 3)
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
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(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
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(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
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(fabs.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4)))
(log.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (/.f64 1 (PI.f64)) 4)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))))
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(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
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(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))) 1))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))
(*.f64 1 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))
(*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (PI.f64) 1/2)))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
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(*.f64 f (*.f64 (PI.f64) 1/2))
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(*.f64 f (*.f64 (PI.f64) 1/2))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 f (*.f64 (PI.f64) 1/2))

eval320.0ms (1.2%)

Compiler

Compiled 15906 to 12322 computations (22.5% saved)

prune169.0ms (0.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New62321644
Fresh336
Picked505
Done000
Total63124655
Accuracy
98.1%
Counts
655 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) -1) -4)
96.0%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2) -4)
95.0%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
95.2%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
96.5%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
96.4%
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
95.4%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
95.5%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
95.9%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)) 3)) -4)
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4)))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
95.3%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
96.3%
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) -1) -4)
96.0%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2) -4)
95.0%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
95.2%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
96.5%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
96.4%
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
95.4%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
95.5%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
95.9%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)) 3)) -4)
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4)))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
95.3%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 1820 to 1488 computations (18.2% saved)

localize789.0ms (2.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
99.4%
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
99.3%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2)
98.1%
(PI.f64)
99.4%
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
99.4%
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
98.6%
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))
98.1%
(PI.f64)
100.0%
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))
99.4%
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
98.1%
(PI.f64)
92.1%
(pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))
100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.4%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
98.1%
(PI.f64)
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))))
98.5%
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24))
98.5%
(*.f64 (PI.f64) -1/24)
98.1%
(PI.f64)
Compiler

Compiled 389 to 285 computations (26.7% saved)

Precisions
Click to see histograms
Operation const, total time spent: 12.0ms
Operation ival-mult, total time spent: 102.0ms
Operation ival-div, total time spent: 158.0ms
Operation ival-log, total time spent: 122.0ms
Operation ival-sqrt, total time spent: 9.0ms
Operation ival-pow, total time spent: 29.0ms
Operation ival-exp, total time spent: 6.0ms
Operation ival-add, total time spent: 6.0ms
Operation ival-fma, total time spent: 11.0ms
Operation ival-neg, total time spent: 1.0ms
Operation ival-pi, total time spent: 4.0ms

series61.0ms (0.2%)

Counts
20 → 156
Calls

39 calls:

TimeVariablePointExpression
18.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))
15.0ms
f
@0
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))
14.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))
3.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))))
2.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))))

rewrite201.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
514×associate-*r*
358×frac-times
356×associate-*l*
263×add-exp-log
263×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042486
1668468
Stop Event
node limit
Counts
20 → 724
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (PI.f64) -1/24)
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))))
(PI.f64)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))
(PI.f64)
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))
(PI.f64)
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(PI.f64)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2)
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) 1)
(/.f64 1 (/.f64 1 (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) -1)
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 1/24 (PI.f64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 1/24 (PI.f64)))))
(*.f64 1 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 2) (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (cbrt.f64 f)))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (cbrt.f64 (pow.f64 f -2))) (/.f64 1 (cbrt.f64 f)))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (pow.f64 f -1/2)) (pow.f64 f -1/2))
(pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 2)
(pow.f64 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) 1/2)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(neg.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 (/.f64 1 f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))

simplify241.0ms (0.9%)

Algorithm
egg-herbie
Rules
1264×associate-*l*
748×times-frac
678×associate-/r*
572×associate-*r/
550×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081828094
1203825470
Stop Event
node limit
Counts
880 → 469
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 1)
(*.f64 2 (/.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) f))
(*.f64 2 (/.f64 1 (*.f64 (*.f64 f 1/2) (PI.f64))))
(*.f64 2 (*.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (/.f64 1 f)))
(*.f64 1 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))
(*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 2) (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (sqrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (/.f64 1 f)))
(*.f64 (pow.f64 f -1/2) (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (sqrt.f64 f)))
(*.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) (/.f64 -1 f))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 1) (/.f64 1 f))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (cbrt.f64 f)))
(*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (cbrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) f))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (cbrt.f64 f)))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (cbrt.f64 (pow.f64 f -2))) (/.f64 1 (cbrt.f64 f)))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (pow.f64 f -1/2)) (pow.f64 f -1/2))
(pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 2)
(pow.f64 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) 1/2)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(neg.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 (/.f64 1 f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (pow.f64 f 2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(fma.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(fma.f64 -1/8 (*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 f 4))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (pow.f64 f 2)))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(fma.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (fma.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 3))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))))
(fma.f64 -1/8 (*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 f 4))) (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 f 6))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (pow.f64 f 2))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (fma.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))) (/.f64 -32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (+.f64 (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 4)))) (fma.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))) (/.f64 -32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (*.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (fma.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))) (/.f64 -32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (+.f64 (/.f64 16 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4)))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (+.f64 (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 4)))) (fma.f64 16 (/.f64 (pow.f64 f -2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12))) (/.f64 -32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (cbrt.f64 (pow.f64 f -2))) (/.f64 1 (cbrt.f64 f)))
(*.f64 (/.f64 4 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 f -2)) (/.f64 1 (cbrt.f64 f))))
(/.f64 (*.f64 4 (/.f64 (cbrt.f64 (pow.f64 f -2)) (PI.f64))) (cbrt.f64 f))
(*.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (pow.f64 f -1/2)) (pow.f64 f -1/2))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 2)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) 1/2)) -1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(neg.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) (neg.f64 f)))
(/.f64 (neg.f64 (/.f64 4 (PI.f64))) (neg.f64 f))
(/.f64 -4 (*.f64 (neg.f64 f) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 2))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(fabs.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 (/.f64 1 f) 3)))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 3) (pow.f64 f 3)))
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) 1))
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))

eval447.0ms (1.6%)

Compiler

Compiled 17118 to 12887 computations (24.7% saved)

prune458.0ms (1.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New79414808
Fresh11819
Picked415
Done000
Total80923832
Accuracy
98.1%
Counts
832 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.7%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
96.4%
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
96.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
96.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
96.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
96.5%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
96.4%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
95.4%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
95.5%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
97.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
96.8%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.7%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
96.4%
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
96.5%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
96.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
96.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
96.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
96.5%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
96.4%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
95.4%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
95.5%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
97.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
96.8%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
Compiler

Compiled 1634 to 1314 computations (19.6% saved)

localize615.0ms (2.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3)))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(cbrt.f64 (pow.f64 (PI.f64) 3))
99.5%
(+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12)))
99.4%
(/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
98.4%
(*.f64 (PI.f64) 1/12)
98.4%
(log.f64 (*.f64 (PI.f64) 1/12))
99.6%
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
99.4%
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
99.2%
(log.f64 (/.f64 4 f))
100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.3%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
98.4%
(*.f64 (PI.f64) 1/12)
Compiler

Compiled 268 to 161 computations (39.9% saved)

Precisions
Click to see histograms
Operation const, total time spent: 7.0ms
Operation ival-pow, total time spent: 10.0ms
Operation ival-cbrt, total time spent: 6.0ms
Operation ival-div, total time spent: 75.0ms
Operation ival-log, total time spent: 177.0ms
Operation ival-mult, total time spent: 45.0ms
Operation ival-add, total time spent: 9.0ms
Operation ival-neg, total time spent: 7.0ms
Operation ival-sub, total time spent: 4.0ms
Operation ival-fma, total time spent: 11.0ms
Operation ival-pi, total time spent: 1.0ms

series123.0ms (0.4%)

Counts
14 → 120
Calls

30 calls:

TimeVariablePointExpression
54.0ms
f
@inf
(log.f64 (/.f64 4 f))
19.0ms
f
@0
(/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
16.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
12.0ms
f
@-inf
(log.f64 (/.f64 4 f))
12.0ms
f
@0
(log.f64 (/.f64 4 f))

rewrite128.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
432×associate-*r*
286×associate-*l*
280×times-frac
252×log1p-expm1-u
252×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037311
1621303
Stop Event
node limit
Counts
14 → 423
Calls
Call 1
Inputs
(*.f64 (PI.f64) 1/12)
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (/.f64 4 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(log.f64 (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) 1/12)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64))))) 1)
(*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64)))))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64)))))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))) 2) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) 3) (pow.f64 (PI.f64) 3)))
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(+.f64 (/.f64 (log.f64 (*.f64 4 f)) (PI.f64)) (neg.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))))
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(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
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simplify234.0ms (0.8%)

Algorithm
egg-herbie
Rules
1194×times-frac
1122×associate-*r*
966×associate-*l*
588×fma-def
438×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091019157
1217417824
Stop Event
node limit
Counts
543 → 566
Calls
Call 1
Inputs
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(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (*.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2))
(*.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (*.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
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(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (-.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
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(*.f64 (PI.f64) f)
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(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
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(sqrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) 2))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 f))) 2))
(fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))
(log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) 1)))
(log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f -1))
(log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) -1))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) 3))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f))) 1))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(log1p.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/12) f) 1))
(log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f -1))
(log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) -1))
(fma.f64 1 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 f))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(log.f64 (*.f64 (PI.f64) (*.f64 1/12 f)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 -1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(neg.f64 (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) 2) 1/3))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (exp.f64 1) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (PI.f64)) 2))) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3) 1/3))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(+.f64 (/.f64 (log.f64 (*.f64 4 f)) (PI.f64)) (neg.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64)))
(-.f64 (/.f64 (log.f64 (*.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 1)
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (*.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (*.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3)
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2)
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) -1)
(/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))

eval743.0ms (2.7%)

Compiler

Compiled 18802 to 13213 computations (29.7% saved)

prune217.0ms (0.8%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New99681004
Fresh21517
Picked145
Done011
Total999281027
Accuracy
98.1%
Counts
1027 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.7%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
96.4%
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
10.0%
(*.f64 (/.f64 (+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))) (log.f64 (cbrt.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)) -4)
96.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
96.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
1.6%
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
96.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
96.5%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
96.4%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
95.4%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
95.5%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
6.8%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.9%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2)))) (*.f64 (PI.f64) 1/4)))
97.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
96.8%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
95.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
6.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))) 3)))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))))
Compiler

Compiled 1513 to 1144 computations (24.4% saved)

regimes147.0ms (0.5%)

Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) -1) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))) 3)))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)) 3)) -4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3) (PI.f64)) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2) -4)
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(*.f64 (/.f64 (+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))) (log.f64 (cbrt.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2)))) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

52.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
24.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
24.0ms
f
8.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
7.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
97.0%1f
97.0%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.0%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.0%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1158 to 854 computations (26.3% saved)

regimes27.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) -1) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 f) (PI.f64))) (log.f64 1/2))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
Calls

1 calls:

18.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 406 to 295 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
Outputs
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
Calls

1 calls:

12.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 273 to 198 computations (27.5% saved)

regimes12.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/12) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(*.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
Outputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 188 to 140 computations (25.5% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
Outputs
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0%)

Algorithm
egg-herbie
Rules
34×*-commutative
22×+-commutative
20×sub-neg
18×neg-mul-1
18×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042221
169221
287221
3103221
4115221
5120221
6122221
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
Compiler

Compiled 66 to 54 computations (18.2% saved)

soundness2.3s (8.5%)

Rules
1862×fma-def
1862×fma-def
1862×fma-def
1554×fma-def
1378×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01739998
15339238
220508612
046505
1748505
042486
1668468
081828094
1203825470
033584
198528
2262484
3772484
42705484
01739998
15339238
220508612
095422702
1235319882
042486
1668468
037311
1621303
091019157
1217417824
01739998
15339238
220508612
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 970 to 744 computations (23.3% saved)

end0.0ms (0%)

preprocess81.0ms (0.3%)

Compiler

Compiled 200 to 152 computations (24% saved)

Profiling

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