VandenBroeck and Keller, Equation (20)

Time bar (total: 29.8s)

analyze423.0ms (1.4%)

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
25%25%75%0%0%0%0%3
25%25%75%0%0%0%0%4
25%25%75%0%0%0%0%5
29%28.1%68.7%0%0%3.1%0%6
29%28.1%68.7%0%0%3.1%0%7
29%28.1%68.7%0%0%3.1%0%8
29.1%28.1%68.3%0%0%3.5%0%9
29.2%28.1%68.1%0%0%3.7%0%10
29.2%28.1%68%0%0%3.8%0%11
29.2%28.1%68%0%0%3.8%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample17.3s (58%)

Results
7.6s7738×body8192exit
2.7s4026×body1024valid
2.3s3999×body1024invalid
1.4s7743×body256unsamplable
1.1s2032×body512invalid
843.0ms2054×body512valid
673.0ms507×body2048valid
441.0ms1669×body256valid
186.0ms957×body256invalid
1.0msbody2048invalid
Bogosity

preprocess55.0ms (0.2%)

Algorithm
egg-herbie
Rules
1436×times-frac
1336×fma-def
954×associate-/r*
602×associate-*r/
586×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031270
191242
2240218
3720218
42345218
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) (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 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.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 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.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 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.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) (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 1 (/.f64 (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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.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 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify58.0ms (0.2%)

Algorithm
egg-herbie
Rules
1520×fma-def
1062×fma-neg
734×div-sub
486×associate-/r*
428×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020127
152121
2127117
3334109
4987109
52558109
66093109
Stop Event
node limit
Counts
1 → 7
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))))))))
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 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.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))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.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 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.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 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
6.9%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.9%
(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))))))))
6.7%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.9%
(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 142 to 108 computations (23.9% saved)

localize1.7s (5.6%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.4%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
99.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
98.4%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
10.4%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
99.4%
(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))))))
99.3%
(*.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)))))))
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)))))
10.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 343 to 237 computations (30.9% saved)

series427.0ms (1.4%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
255.0ms
f
@inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
41.0ms
f
@inf
(*.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)))))))
36.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
35.0ms
f
@-inf
(*.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)))))))
22.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))

rewrite65.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
670×add-sqr-sqrt
656×pow1
654×*-un-lft-identity
634×add-exp-log
630×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032200
1702200
Stop Event
node limit
Counts
8 → 288
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)))))
(*.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)))))))
(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 f) (*.f64 -1/4 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
Outputs
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f

simplify111.0ms (0.4%)

Algorithm
egg-herbie
Rules
1700×fma-def
1620×times-frac
946×distribute-rgt-in
946×distribute-lft-in
740×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01919380
15488540
220657932
Stop Event
node limit
Counts
384 → 119
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.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 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.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 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.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 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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.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 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.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 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 (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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2)) (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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (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 (/.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 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (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))) (*.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 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2)) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.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)))))))) (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
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(+.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 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2)) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (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 (/.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 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (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))) (*.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)))
(+.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 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (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 (/.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 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (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))) (*.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 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))))
(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)))))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
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(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (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 (/.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 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (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))) (*.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 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (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))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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 -1 (log.f64 f))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (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))))))) (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (fma.f64 1/2 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f)))))
(+.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 0)) (log.f64 f)) (fma.f64 (*.f64 f (*.f64 f (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)))) 1/2 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1)) 0) 1/2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 f))
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

eval90.0ms (0.3%)

Compiler

Compiled 5356 to 4035 computations (24.7% saved)

prune59.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New10613119
Fresh000
Picked202
Done000
Total10813121
Accurracy
98.1%
Counts
121 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
6.9%
(*.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 (PI.f64)))
6.9%
(*.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)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
97.1%
(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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
6.7%
(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 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
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 (*.f64 (PI.f64) 1/2) f)))))
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)))) 262144))))
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)))) 4096))))
3.4%
(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)))) 2))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
96.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
6.9%
(*.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 (PI.f64)))
6.9%
(*.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)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
97.1%
(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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
6.7%
(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 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
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 (*.f64 (PI.f64) 1/2) f)))))
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)))) 262144))))
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)))) 4096))))
3.4%
(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)))) 2))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Compiler

Compiled 1444 to 1148 computations (20.5% saved)

localize1.9s (6.3%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
99.4%
(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)))))))
99.3%
(*.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 (PI.f64)))
98.4%
(/.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))))))
10.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
98.5%
(*.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)))) 262144)))
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
100.0%
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.7%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 790 to 559 computations (29.2% saved)

series194.0ms (0.7%)

Counts
19 → 152
Calls

42 calls:

TimeVariablePointExpression
64.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
19.0ms
f
@inf
(*.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)))) 262144)))
19.0ms
f
@-inf
(*.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)))) 262144)))
14.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
14.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))

rewrite143.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1074×add-sqr-sqrt
1032×pow1
1026×add-exp-log
1016×add-log-exp
1008×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054681
11180681
Stop Event
node limit
Counts
19 → 168
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 5)
(pow.f64 (PI.f64) 3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 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)))) 262144)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (*.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)))))
(/.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 (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 (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)))))))
Outputs
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 7)) (cbrt.f64 (pow.f64 (PI.f64) 7))) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 7)) (sqrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (pow.f64 (PI.f64) 7)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 7))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 5))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(*.f64 1 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
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(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
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(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))

simplify183.0ms (0.6%)

Algorithm
egg-herbie
Rules
1050×associate-*r*
978×associate-*l*
626×exp-prod
602×log-prod
594×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057916154
1143312994
2677312734
Stop Event
node limit
Counts
320 → 325
Calls
Call 1
Inputs
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(log.f64 1/131072)
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1
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(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
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(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
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(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
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(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
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(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(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))))))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(cbrt.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)))))) (*.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)))))) (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)))))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))

eval298.0ms (1%)

Compiler

Compiled 16404 to 12135 computations (26% saved)

prune145.0ms (0.5%)

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New36229391
Fresh358
Picked415
Done000
Total36935404
Accurracy
98.3%
Counts
404 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
96.3%
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
96.8%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
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 (*.f64 (PI.f64) 1/2) f)))))
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)))) 4096))))
3.4%
(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)))) 2))))
38.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
0.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
76.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
1.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
96.0%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
5.8%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
6.9%
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
7.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
96.3%
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
96.8%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
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 (*.f64 (PI.f64) 1/2) f)))))
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)))) 4096))))
3.4%
(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)))) 2))))
38.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
0.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
76.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
1.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
96.0%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
5.8%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
6.9%
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
Compiler

Compiled 3258 to 2588 computations (20.6% saved)

localize1.4s (4.8%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.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))
99.4%
(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)))))))
98.4%
(/.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))))))
10.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
100.0%
(cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))
99.7%
(*.f64 (*.f64 (PI.f64) 1/4) f)
98.9%
(log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144)))
99.7%
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
99.7%
(*.f64 (PI.f64) (*.f64 1/2 f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
98.4%
(/.f64 (log.f64 1/131072) (PI.f64))
98.9%
(*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
98.4%
(*.f64 1/96 (pow.f64 (PI.f64) 3))
98.4%
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
98.4%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 564 to 389 computations (31% saved)

series124.0ms (0.4%)

Counts
12 → 104
Calls

27 calls:

TimeVariablePointExpression
49.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144)))
26.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
17.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144)))
13.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
10.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))

rewrite96.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1086×pow1
1058×add-exp-log
1042×add-log-exp
1042×log1p-expm1-u
1042×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054454
11173454
Stop Event
node limit
Counts
12 → 102
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/96 (pow.f64 (PI.f64) 3))
(*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (log.f64 1/131072) (PI.f64))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (PI.f64) (*.f64 1/2 f))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144)))
(log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (*.f64 (PI.f64) 1/4) f)
(cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))
(/.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))
Outputs
(+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))
(*.f64 1 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))) (cbrt.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))) (cbrt.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) 3) (pow.f64 (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) (+.f64 (*.f64 (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) (*.f64 (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))
(pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) 1)
(log.f64 (exp.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4)))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8 (neg.f64 (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))))
(pow.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) 1)
(log.f64 (exp.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 1/96 (pow.f64 (PI.f64) 3))) (*.f64 1/96 (pow.f64 (PI.f64) 3))))
(expm1.f64 (log1p.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3))))
(exp.f64 (log.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3))))
(log1p.f64 (expm1.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3))))
(pow.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f) 1)
(log.f64 (exp.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)))
(exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 (/.f64 1/96 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 1/4))) f)))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/131072) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(pow.f64 (/.f64 (log.f64 1/131072) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 (log.f64 1/131072) (PI.f64))) (/.f64 (log.f64 1/131072) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (PI.f64) (*.f64 f 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 2) (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 1 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (sqrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(pow.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) (*.f64 1/4 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 1 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)
(pow.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))

simplify135.0ms (0.5%)

Algorithm
egg-herbie
Rules
840×associate-*r*
766×associate-*l*
472×fma-def
458×unswap-sqr
394×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04549824
111978892
252468378
Stop Event
node limit
Counts
206 → 198
Calls
Call 1
Inputs
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(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
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1
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(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 262144)) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 2) (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 1 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (sqrt.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(pow.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) (*.f64 1/4 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 1 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)
(pow.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
Outputs
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) (*.f64 1/12 f))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/2 (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (-.f64 (log.f64 (*.f64 (PI.f64) -1/2)) (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/2 (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (-.f64 (log.f64 (*.f64 (PI.f64) -1/2)) (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/2 (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (-.f64 (log.f64 (*.f64 (PI.f64) -1/2)) (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/2 (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (log.f64 2) (-.f64 (log.f64 (*.f64 (PI.f64) -1/2)) (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/2))))) (PI.f64))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
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(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
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(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)
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(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
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(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
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(/.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))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
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(/.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))

eval245.0ms (0.8%)

Compiler

Compiled 11980 to 8815 computations (26.4% saved)

prune124.0ms (0.4%)

Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New28111292
Fresh131629
Picked325
Done011
Total29730327
Accurracy
98.3%
Counts
327 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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 (PI.f64)))
96.3%
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
96.8%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.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))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
96.5%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
96.4%
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
6.9%
(*.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
96.0%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
5.8%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
6.9%
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
7.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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 (PI.f64)))
96.3%
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
96.8%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.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))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
96.5%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
96.4%
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
6.9%
(*.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
95.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
96.0%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
5.8%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
6.9%
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
Compiler

Compiled 2916 to 2278 computations (21.9% saved)

localize1.7s (5.8%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
99.5%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64))
98.1%
(PI.f64)
10.4%
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
99.6%
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
98.1%
(PI.f64)
99.6%
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
99.4%
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
98.1%
(PI.f64)
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
99.7%
(*.f64 f (PI.f64))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.5%
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
98.1%
(PI.f64)
99.5%
(*.f64 (PI.f64) (*.f64 1/12 f))
99.4%
(*.f64 1/12 f)
99.3%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))
98.1%
(PI.f64)
Compiler

Compiled 501 to 312 computations (37.7% saved)

series120.0ms (0.4%)

Counts
19 → 132
Calls

42 calls:

TimeVariablePointExpression
92.0ms
f
@inf
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))
11.0ms
f
@inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64))
7.0ms
f
@-inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64))
1.0ms
f
@0
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
1.0ms
f
@0
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))

rewrite150.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1084×pow1
1048×add-exp-log
1034×log1p-expm1-u
1030×expm1-log1p-u
1028×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058535
11253535
Stop Event
node limit
Counts
19 → 172
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))
(*.f64 1/12 f)
(*.f64 (PI.f64) (*.f64 1/12 f))
(PI.f64)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(PI.f64)
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(PI.f64)
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(PI.f64)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
Outputs
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(pow.f64 (*.f64 f 1/12) 1)
(log.f64 (exp.f64 (*.f64 f 1/12)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f 1/12) (*.f64 f 1/12)) (*.f64 f 1/12)))
(expm1.f64 (log1p.f64 (*.f64 f 1/12)))
(exp.f64 (log.f64 (*.f64 f 1/12)))
(log1p.f64 (expm1.f64 (*.f64 f 1/12)))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) (*.f64 (PI.f64) (*.f64 f 1/12))) (*.f64 (PI.f64) (*.f64 f 1/12))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))

simplify170.0ms (0.6%)

Algorithm
egg-herbie
Rules
1014×associate-*r*
958×associate-*l*
802×log-prod
684×exp-prod
572×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052613346
1127711600
2647311596
Stop Event
node limit
Counts
304 → 297
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
(+.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 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (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)))))
(-.f64 (+.f64 (*.f64 4608 (/.f64 1 (*.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 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4608 (/.f64 1 (*.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 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (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)))))
(-.f64 (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (*.f64 192 (/.f64 1 (*.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 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(*.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)))
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(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 -1/12 (*.f64 (PI.f64) (*.f64 f f))))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f))))
(+.f64 (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 -1/12 (*.f64 (PI.f64) (*.f64 f f)))))
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f)))))
(+.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 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (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 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 -1/12 (*.f64 (PI.f64) (*.f64 f f))))))
(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 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (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)))))
(-.f64 (/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -192 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4608 (/.f64 1 (*.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 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5))) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (*.f64 4608 (/.f64 1 (*.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 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(+.f64 (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(-.f64 (-.f64 (fma.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5))) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))
(*.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 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))))
(-.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)) (neg.f64 (/.f64 192 (*.f64 (*.f64 f f) (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 f (*.f64 f (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 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5)) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -192 (*.f64 f (*.f64 f (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 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 192 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (-.f64 (-.f64 (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/12))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/12))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/12))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/12))
(*.f64 f (*.f64 (PI.f64) 1/12))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/12))
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(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) 3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))

eval283.0ms (0.9%)

Compiler

Compiled 13782 to 9316 computations (32.4% saved)

prune134.0ms (0.4%)

Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New45722479
Fresh111122
Picked325
Done033
Total47138509
Accurracy
98.3%
Counts
509 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f)))))
97.0%
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
1.6%
(/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
96.1%
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
96.9%
(+.f64 (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
7.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.8%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (PI.f64)))
6.9%
(*.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 (PI.f64)))
96.4%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
96.8%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f 1/12)))))) (/.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))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
6.9%
(*.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))))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))))) (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
96.5%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
96.4%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 (PI.f64) f))))) (PI.f64)))
1.6%
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
95.4%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
95.4%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
95.6%
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 3)))
96.0%
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
96.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
96.2%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))))
90.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
95.4%
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
96.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
95.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
5.8%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
5.0%
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
Compiler

Compiled 2502 to 1857 computations (25.8% saved)

regimes186.0ms (0.6%)

Counts
77 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f 1/12)))))) (/.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)))) 2))))
(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)))) 4096))))
(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)))) 262144))))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f)))))
(+.f64 (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (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 (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 (PI.f64)))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(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 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (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))))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))))) (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 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (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))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(*.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
Calls

6 calls:

66.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
32.0ms
f
24.0ms
(*.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)))))))
10.0ms
(/.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)))))
8.0ms
(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
97.1%1f
97.1%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))))))))
97.1%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)))))))
97.1%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))))))
97.1%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)))))
97.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1856 to 1347 computations (27.4% saved)

regimes154.0ms (0.5%)

Counts
76 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 f (PI.f64)) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) (/.f64 -4 (PI.f64)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f 1/12)))))) (/.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)))) 2))))
(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)))) 4096))))
(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)))) 262144))))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 (PI.f64) (*.f64 1/12 f)))) (/.f64 -4 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(fma.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 -1/12 (*.f64 f f)))))
(+.f64 (*.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/12 (*.f64 (pow.f64 f 2) (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 (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 (PI.f64)))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (/.f64 (*.f64 1/96 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(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 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.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)))))) (/.f64 -4 (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))))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))))))) (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 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (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))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
(log.f64 (pow.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))))) (/.f64 -4 (PI.f64))))
(*.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.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)))))))) (PI.f64))) (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(*.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.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))))))) (/.f64 -4 (PI.f64)))
Outputs
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
Calls

6 calls:

32.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms
f
29.0ms
(*.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)))))))
12.0ms
(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))))))
9.0ms
(/.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)))))
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 1801 to 1305 computations (27.5% saved)

regimes18.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(/.f64 (*.f64 -4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
Calls

1 calls:

10.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 271 to 206 computations (24% saved)

regimes11.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (+.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 145 to 112 computations (22.8% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
Calls

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
202×unsub-neg
162×neg-mul-1
72×*-commutative
62×distribute-lft-neg-in
62×distribute-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073362
1120362
2165362
3197354
4230354
5321354
6423354
7506354
8586354
Stop Event
fuel
saturated
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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
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)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.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 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)))))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) (*.f64 f 1/12)))) -4) (PI.f64))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))
(*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (neg.f64 4))
Compiler

Compiled 114 to 92 computations (19.3% saved)

soundness1.5s (5%)

Rules
1700×fma-def
1700×fma-def
1620×times-frac
1620×times-frac
1520×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01919380
15488540
220657932
032200
1702200
020127
152121
2127117
3334109
4987109
52558109
66093109
057916154
1143312994
2677312734
04549824
111978892
252468378
052613346
1127711600
2647311596
057916154
1143312994
2677312734
01919380
15488540
220657932
057916154
1143312994
2677312734
058535
11253535
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 851 to 631 computations (25.9% saved)

end0.0ms (0%)

preprocess92.0ms (0.3%)

Compiler

Compiled 294 to 222 computations (24.5% saved)

Profiling

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