VandenBroeck and Keller, Equation (20)

Time bar (total: 43.3s)

analyze520.0ms (1.2%)

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)

sample25.7s (59.4%)

Results
12.0s7634×body8192exit
3.6s4044×body1024valid
3.6s4090×body1024invalid
2.2s7903×body256unsamplable
1.3s1967×body512valid
1.3s2024×body512invalid
849.0ms529×body2048valid
572.0ms1716×body256valid
282.0ms1033×body256invalid
2.0msbody2048invalid
Bogosity

preprocess64.0ms (0.1%)

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
031397
191363
2240327
3720327
42345327
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
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) 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 38 to 30 computations (21.1% saved)

eval3.0ms (0%)

Compiler

Compiled 169 to 114 computations (32.5% saved)

prune7.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(*.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)))
8.1%
(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))))))))
8.0%
(*.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)))
8.1%
(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))))))))
Compiler

Compiled 142 to 108 computations (23.9% saved)

localize2.5s (5.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.5%
(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)))))
99.4%
(*.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)))
97.3%
(/.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))))
12.6%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
99.5%
(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))))))
99.4%
(*.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)))))))
97.3%
(/.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)))))
12.6%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 342 to 236 computations (31% saved)

series186.0ms (0.4%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
36.0ms
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 (PI.f64) -4)))
34.0ms
f
@inf
(*.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)))
32.0ms
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)))))))
20.0ms
f
@-inf
(*.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)))

rewrite60.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
656×add-sqr-sqrt
644×pow1
642×*-un-lft-identity
620×add-exp-log
616×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031200
1686200
Stop Event
node limit
Counts
8 → 248
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 (PI.f64) -4)))
(/.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 (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)))
(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)))))
Outputs
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify130.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01869340
15438500
220617892
Stop Event
node limit
Counts
344 → 110
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.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
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (PI.f64) (*.f64 1/2 f)))
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1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval313.0ms (0.7%)

Compiler

Compiled 5098 to 3843 computations (24.6% saved)

prune515.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9812110
Fresh000
Picked202
Done000
Total10012112
Accuracy
96.9%
Counts
112 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
94.8%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
8.1%
(*.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)))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.7%
(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)))) (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
94.9%
(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 (*.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))))
1.7%
(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)))) 4))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
95.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
94.8%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
8.1%
(*.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)))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.7%
(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)))) (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
94.9%
(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 (*.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))))
1.7%
(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)))) 4))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Compiler

Compiled 1436 to 1152 computations (19.8% saved)

localize1.2s (2.9%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.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))
99.4%
(*.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))))
97.7%
(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)))
99.9%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.9%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))
99.6%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.4%
(*.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)))
99.6%
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.7%
(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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))))
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 795 to 585 computations (26.4% saved)

series291.0ms (0.7%)

Counts
19 → 180
Calls

45 calls:

TimeVariablePointExpression
69.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
49.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))
42.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
20.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
18.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))

rewrite137.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1070×pow1
1058×add-exp-log
1046×add-log-exp
1042×log1p-expm1-u
1042×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057613
11240613
Stop Event
node limit
Counts
19 → 163
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 7)
(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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 5)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(/.f64 2 (*.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))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))
(*.f64 (/.f64 (PI.f64) 4) f)
(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 (*.f64 (PI.f64) 1/2) 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 (*.f64 (PI.f64) 1/2) f))))
(/.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))
(*.f64 (*.f64 (PI.f64) 1/2) f)
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)))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2))))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(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))
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(*.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))
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(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 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
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(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))

simplify306.0ms (0.7%)

Algorithm
egg-herbie
Rules
1082×associate-*r*
976×associate-*l*
664×fma-def
596×log-prod
510×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062416051
1155513843
2707913539
Stop Event
node limit
Counts
343 → 341
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f))))
(-.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/1720320 (/.f64 (*.f64 (+.f64 (*.f64 -18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (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 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (*.f64 7 (log.f64 (/.f64 1 f))))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 -1/57344 (/.f64 (*.f64 (+.f64 (*.f64 852336259891200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13))) (+.f64 (*.f64 -5966353819238400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13))) (*.f64 -672 (/.f64 (+.f64 (*.f64 -18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 2))))) (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 -3/256 (/.f64 (*.f64 (+.f64 (*.f64 -18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 72831467520 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/1720320 (/.f64 (*.f64 (+.f64 (*.f64 -18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (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 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (*.f64 7 (log.f64 (/.f64 1 f)))))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 7 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))))
(-.f64 (+.f64 (log.f64 (*.f64 -41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 -1 f)))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/1720320 (/.f64 (*.f64 (+.f64 (*.f64 -8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (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 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 -1 f))))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/1720320 (/.f64 (*.f64 (+.f64 (*.f64 -8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (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 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 1/57344 (/.f64 (*.f64 (+.f64 (*.f64 5966353819238400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13))) (+.f64 (*.f64 -852336259891200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13))) (*.f64 -672 (/.f64 (+.f64 (*.f64 -8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 2))))) (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 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -8878502707200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 18644855685120 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 72831467520 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (log.f64 (*.f64 -41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 -1 f)))))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (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 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 1/2 (*.f64 f (PI.f64)))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2))))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
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(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
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(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
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(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/4096))))
(/.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 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 f 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 (*.f64 1/2 (*.f64 (PI.f64) 1/12)) (PI.f64)))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 -3/4 (*.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (fma.f64 3/2 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 0)) (PI.f64)) (*.f64 -1/48 (*.f64 (PI.f64) (*.f64 (PI.f64) 0))))) (*.f64 1/4 (pow.f64 (*.f64 (PI.f64) 0) 3))))) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 (*.f64 1/2 (*.f64 (PI.f64) 1/12)) (PI.f64)))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(fma.f64 (*.f64 1/6 (pow.f64 f 3)) (fma.f64 3/2 (+.f64 (*.f64 (PI.f64) (/.f64 0 (PI.f64))) 0) 0) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(fma.f64 (*.f64 1/6 (pow.f64 f 3)) (fma.f64 3/2 (+.f64 (*.f64 (PI.f64) (/.f64 0 (PI.f64))) 0) 0) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 (*.f64 41287680 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (pow.f64 (PI.f64) 7))) (*.f64 (log.f64 f) -7))
(-.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 7)))) (-.f64 (*.f64 7 (neg.f64 (log.f64 f))) (/.f64 672 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (*.f64 41287680 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (pow.f64 (PI.f64) 7))) (+.f64 (*.f64 (log.f64 f) -7) (/.f64 -672 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))))))
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(log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))) (*.f64 (/.f64 2 f) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (*.f64 1/2 (*.f64 f (PI.f64))))))
(*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (*.f64 f (PI.f64))))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 f (PI.f64))) (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/2 (*.f64 f (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/2))

eval983.0ms (2.3%)

Compiler

Compiled 20803 to 15520 computations (25.4% saved)

prune525.0ms (1.2%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New47927506
Fresh347
Picked505
Done000
Total48731518
Accuracy
97.2%
Counts
518 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
8.1%
(*.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)))
95.0%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
95.1%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.6%
(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 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (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 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.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)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(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)))) 4))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
94.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
93.5%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
94.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
94.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
95.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
8.1%
(*.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)))
95.0%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
95.1%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.6%
(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 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (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 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.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)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(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)))) 4))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
94.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
93.5%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
94.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
94.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
Compiler

Compiled 3116 to 2520 computations (19.1% saved)

localize901.0ms (2.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.6%
(*.f64 f (PI.f64))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
98.4%
(*.f64 (pow.f64 (PI.f64) 2) 1/12)
99.9%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 f (PI.f64))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))
100.0%
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64))))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.6%
(*.f64 f (PI.f64))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64))))))
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
98.4%
(pow.f64 (PI.f64) 3)
97.7%
(log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 783 to 546 computations (30.3% saved)

series51.0ms (0.1%)

Counts
12 → 60
Calls

30 calls:

TimeVariablePointExpression
11.0ms
f
@-inf
(log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
6.0ms
f
@inf
(log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
4.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))
4.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64))))))
3.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))

rewrite179.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1294×pow1
1270×add-exp-log
1260×add-log-exp
1258×log1p-expm1-u
1258×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067438
11461438
Stop Event
node limit
Counts
12 → 97
Calls
Call 1
Inputs
(log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))
(pow.f64 (PI.f64) 3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))
(*.f64 f (PI.f64))
(*.f64 (pow.f64 (PI.f64) 2) 1/12)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
Outputs
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(*.f64 1 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (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 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 1 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) (pow.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (-.f64 (*.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))) (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))))
(pow.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64))) (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4)))) (log.f64 4096))
(*.f64 1 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))) (cbrt.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096)))) (cbrt.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(pow.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096)) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 1/4096))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

simplify143.0ms (0.3%)

Algorithm
egg-herbie
Rules
886×associate-*r*
792×associate-*l*
752×fma-def
586×unswap-sqr
484×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053810233
114489323
260879151
Stop Event
node limit
Counts
157 → 239
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(*.f64 1 (pow.f64 (PI.f64) 3))
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(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
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(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 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))))
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(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 (pow.f64 (PI.f64) 2) 1/12)) (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (fma.f64 -1/2 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (-.f64 (fma.f64 (*.f64 -1/2 (pow.f64 f 3)) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (fma.f64 -1/2 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (*.f64 12 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (*.f64 1/96 (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (pow.f64 (PI.f64) 2))) (*.f64 1/15360 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/24 (*.f64 (pow.f64 f 4) (fma.f64 -3 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/24) 2)) (*.f64 12 (*.f64 (PI.f64) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/15360))))))) (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (fma.f64 -1/2 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 1/24 (*.f64 (pow.f64 f 4) (fma.f64 -3 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/24) 2)) (*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 4) -1/32) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192))) (*.f64 -1/1536 (pow.f64 (PI.f64) 4))))) (PI.f64)) (fma.f64 1/96 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (*.f64 (pow.f64 (PI.f64) 3) 1/15360))) (*.f64 (PI.f64) 12)))) (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (-.f64 (fma.f64 (*.f64 -1/2 (pow.f64 f 3)) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 1/24 (*.f64 (pow.f64 f 4) (fma.f64 -3 (*.f64 (pow.f64 (PI.f64) 4) 1/576) (*.f64 (-.f64 (neg.f64 (fma.f64 1/96 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (*.f64 (pow.f64 (PI.f64) 3) 1/15360))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/1024) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/192))) (*.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (PI.f64))) (*.f64 (PI.f64) 12)))) (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/24)) (fma.f64 -1/2 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 41287680 (/.f64 (pow.f64 (PI.f64) 7) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))))) (*.f64 (log.f64 f) -7))
(+.f64 (log.f64 (/.f64 41287680 (/.f64 (pow.f64 (PI.f64) 7) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) (*.f64 (log.f64 f) -7))
(-.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (PI.f64) 7)))) (-.f64 (*.f64 7 (neg.f64 (log.f64 f))) (/.f64 672 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 41287680 (/.f64 (pow.f64 (PI.f64) 7) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))))) (-.f64 (*.f64 (log.f64 f) -7) (/.f64 672 (pow.f64 (*.f64 f (PI.f64)) 2))))
(+.f64 (log.f64 (/.f64 41287680 (/.f64 (pow.f64 (PI.f64) 7) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) (fma.f64 (log.f64 f) -7 (/.f64 -672 (pow.f64 (*.f64 f (PI.f64)) 2))))
(-.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/860160 (/.f64 (*.f64 (+.f64 (*.f64 -9322427842560 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 4439251353600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 7)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (*.f64 7 (log.f64 (/.f64 1 f))))) (*.f64 672 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (PI.f64) 7)))) (-.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/860160 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (PI.f64) 11)) -4883176488960) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (PI.f64) 7))) (neg.f64 (/.f64 5419008 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4)) (*.f64 7 (neg.f64 (log.f64 f)))) (/.f64 672 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))))
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(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
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(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
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(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))
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(fma.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
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(fma.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)))))
(fma.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
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(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(*.f64 1 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (*.f64 1/2 f) (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(-.f64 (log.f64 2) (log.f64 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)) 1)
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(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 f (PI.f64)) 1)
(*.f64 f (PI.f64))
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) (*.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))

eval388.0ms (0.9%)

Compiler

Compiled 14092 to 10211 computations (27.5% saved)

prune169.0ms (0.4%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New31618334
Fresh91726
Picked325
Done000
Total32837365
Accuracy
97.2%
Counts
365 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(*.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)))
95.5%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
95.0%
(neg.f64 (fma.f64 -1/512 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8)))))
95.5%
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
95.4%
(neg.f64 (+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
94.9%
(neg.f64 (+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
6.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 f (PI.f64))))))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (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 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(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)))) 4))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
4.3%
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
4.3%
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
94.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
4.3%
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
76.6%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
94.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
94.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
8.1%
(*.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)))
95.5%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
95.0%
(neg.f64 (fma.f64 -1/512 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8)))))
95.5%
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
95.4%
(neg.f64 (+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
94.9%
(neg.f64 (+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
6.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 f (PI.f64))))))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (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 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(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)))) 4))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
4.3%
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
4.3%
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
94.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
4.3%
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
76.6%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
93.5%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
94.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
94.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
Compiler

Compiled 3146 to 2538 computations (19.3% saved)

localize1.4s (3.1%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096)))
99.6%
(*.f64 f (PI.f64))
96.2%
(PI.f64)
99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
98.4%
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
96.2%
(PI.f64)
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
97.0%
(log.f64 (/.f64 4 (PI.f64)))
96.2%
(PI.f64)
99.8%
(*.f64 1/12 (*.f64 f f))
99.7%
(*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))
96.2%
(PI.f64)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
98.5%
(pow.f64 (PI.f64) 5)
97.6%
(pow.f64 (PI.f64) 7)
96.2%
(PI.f64)
Compiler

Compiled 635 to 440 computations (30.7% saved)

series12.0ms (0%)

Counts
16 → 116
Calls

30 calls:

TimeVariablePointExpression
2.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
2.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096)))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096)))

rewrite115.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1278×pow1
1258×add-exp-log
1244×add-log-exp
1244×log1p-expm1-u
1244×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067452
11442452
Stop Event
node limit
Counts
16 → 132
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
(PI.f64)
(*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64))
(*.f64 1/12 (*.f64 f f))
(PI.f64)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(PI.f64)
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096)))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
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 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(*.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)))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(pow.f64 (*.f64 1/12 (*.f64 f f)) 1)
(log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f))))
(expm1.f64 (log1p.f64 (*.f64 1/12 (*.f64 f f))))
(exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (*.f64 f 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 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 4 (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 (log.f64 2) (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))))))
(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))))))
(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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(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 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 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) 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 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1)
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))

simplify210.0ms (0.5%)

Algorithm
egg-herbie
Rules
1194×associate-*r*
1060×associate-*l*
712×fma-def
654×associate-/r*
606×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056412198
1150910366
2766210366
Stop Event
node limit
Counts
248 → 248
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (*.f64 12 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (*.f64 1/96 (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (pow.f64 (PI.f64) 2))) (*.f64 1/15360 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 2688 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/860160 (/.f64 (*.f64 (+.f64 (*.f64 -9322427842560 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 4439251353600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 7)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 2688 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/860160 (/.f64 (*.f64 (+.f64 (*.f64 -9322427842560 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 4439251353600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 7)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 5419008 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (+.f64 (*.f64 1/180 (/.f64 (-.f64 (+.f64 (*.f64 -3/128 (/.f64 (*.f64 (+.f64 (*.f64 -9322427842560 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 4439251353600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -1/28672 (/.f64 (*.f64 (pow.f64 (PI.f64) 7) (+.f64 (*.f64 -672 (/.f64 (+.f64 (*.f64 -9322427842560 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 4439251353600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 426168129945600 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13))) (*.f64 -2983176909619200 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 13)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 72831467520 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 1 f)))) (PI.f64))))) (*.f64 2688 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -41287680 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 7)))) (*.f64 7 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))))
(*.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)))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(pow.f64 (*.f64 1/12 (*.f64 f f)) 1)
(log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f))))
(expm1.f64 (log1p.f64 (*.f64 1/12 (*.f64 f f))))
(exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (*.f64 f 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 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 4 (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 (log.f64 2) (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))))))
(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))))))
(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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(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 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 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) 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 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1)
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (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 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 2 (*.f64 (*.f64 f (*.f64 f (PI.f64))) 1/24)))
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(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) 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 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4))) 3)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (*.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4))) (-.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) 3) (pow.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) 1) 3)) (fma.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) 1) (-.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) 1) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.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 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (*.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (*.f64 (fma.f64 (PI.f64) (*.f64 f -1/4) 1) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))) (+.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f (*.f64 (PI.f64) 1/4))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1)
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(cbrt.f64 (*.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))) (+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4)))))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) (*.f64 f -1/4)))
(+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (fma.f64 (PI.f64) (*.f64 f -1/4) 1))

eval1.1s (2.5%)

Compiler

Compiled 15982 to 11492 computations (28.1% saved)

prune146.0ms (0.3%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New40419423
Fresh72330
Picked325
Done112
Total41545460
Accuracy
97.2%
Counts
460 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(*.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)))
95.5%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
95.0%
(neg.f64 (fma.f64 -1/512 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8)))))
95.5%
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
94.9%
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
95.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
95.4%
(neg.f64 (+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
94.9%
(neg.f64 (+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
94.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
6.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 f (PI.f64))))))))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (fma.f64 f 0 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 2)) 4096))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (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 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
7.6%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(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)))) 4))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
94.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
4.3%
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
4.3%
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
3.4%
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
4.3%
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
4.0%
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
94.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
4.3%
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
76.6%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
3.4%
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
93.5%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
93.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
4.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
4.0%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
94.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
94.3%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
Compiler

Compiled 2647 to 1986 computations (25% saved)

regimes184.0ms (0.4%)

Counts
78 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (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)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (fma.f64 f 0 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 2)) 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)))) 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)))) 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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 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)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(neg.f64 (fma.f64 -1/512 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8)))))
(neg.f64 (+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 f (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)))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 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 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.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)))
(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 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 1/2 (*.f64 f (PI.f64)))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

64.0ms
f
33.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
16.0ms
(*.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)))))))
11.0ms
(/.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)))))
10.0ms
(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
95.8%1f
95.8%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))))))))
95.8%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)))))))
95.8%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))))))
95.8%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)))))
95.8%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1891 to 1374 computations (27.3% saved)

regimes188.0ms (0.4%)

Counts
74 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (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)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (fma.f64 f 0 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 2)) 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)))) 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)))) 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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (+.f64 (*.f64 4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 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)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(neg.f64 (fma.f64 -1/512 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8)))))
(neg.f64 (+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (*.f64 f (*.f64 f (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 f (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)))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 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 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 1/2 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))))))
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.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)))
(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 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (/.f64 (PI.f64) (*.f64 f f))) -2 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 0))
Outputs
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

52.0ms
(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))))))))
35.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms
f
11.0ms
(*.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
(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
95.5%1f
95.5%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))))))))
95.5%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)))))))
95.5%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))))))
95.5%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)))))
95.5%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1693 to 1226 computations (27.6% saved)

regimes37.0ms (0.1%)

Counts
44 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (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)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) 4096))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 1) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4096))))
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (exp.f64 (log.f64 (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (+.f64 1 (*.f64 (*.f64 (PI.f64) f) -1/4))) 1/4096)) (*.f64 (PI.f64) 1/4)))
Outputs
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
Calls

1 calls:

20.0ms
f
Results
AccuracySegmentsBranch
95.5%1f
Compiler

Compiled 647 to 458 computations (29.2% saved)

regimes30.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (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)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 1/8 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
Outputs
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

17.0ms
f
Results
AccuracySegmentsBranch
95.1%1f
Compiler

Compiled 478 to 344 computations (28% saved)

regimes21.0ms (0%)

Counts
25 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (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)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/2048 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(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 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
Calls

1 calls:

13.0ms
f
Results
AccuracySegmentsBranch
94.9%1f
Compiler

Compiled 306 to 218 computations (28.8% saved)

regimes45.0ms (0.1%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/2048))))
(neg.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2048)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))))
(neg.f64 (*.f64 (exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f)))) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/12)) 3)))
Outputs
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
Calls

1 calls:

41.0ms
f
Results
AccuracySegmentsBranch
4.3%1f
Compiler

Compiled 115 to 74 computations (35.7% saved)

simplify15.0ms (0%)

Algorithm
egg-herbie
Rules
70×*-commutative
38×+-commutative
34×sub-neg
34×neg-mul-1
34×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070398
1118398
2158398
3187398
4202398
5207398
6208398
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (+.f64 (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (fma.f64 1/2 (*.f64 (*.f64 f f) (*.f64 1/24 (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 1/8 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (PI.f64)))
(*.f64 (*.f64 (*.f64 f f) 1/12) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) (neg.f64 1/12)))
Compiler

Compiled 128 to 99 computations (22.7% saved)

soundness4.3s (10%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01869340
15438500
220617892
057613
11240613
062416051
1155513843
2707913539
067438
11461438
053810233
114489323
260879151
067452
11442452
062416051
1155513843
2707913539
053810233
114489323
260879151
01869340
15438500
220617892
062416051
1155513843
2707913539
01869340
15438500
220617892
062416051
1155513843
2707913539
067438
11461438
053810233
114489323
260879151
067438
11461438
053810233
114489323
260879151
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2161 to 1630 computations (24.6% saved)

end0.0ms (0%)

preprocess162.0ms (0.4%)

Compiler

Compiled 322 to 228 computations (29.2% saved)

Profiling

Loading profile data...