VandenBroeck and Keller, Equation (20)

Time bar (total: 38.6s)

analyze432.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
25%25%75%0%0%0%0%4
25%25%75%0%0%0%0%5
29%28.1%68.7%0%0%3.1%0%6
29%28.1%68.7%0%0%3.1%0%7
29%28.1%68.7%0%0%3.1%0%8
29.1%28.1%68.3%0%0%3.5%0%9
29.2%28.1%68.1%0%0%3.7%0%10
29.2%28.1%68%0%0%3.8%0%11
29.2%28.1%68%0%0%3.8%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample17.7s (45.9%)

Results
8.3s7765×body8192exit
2.4s3995×body1024valid
2.3s3987×body1024invalid
1.6s7715×body256unsamplable
937.0ms2081×body512valid
778.0ms1973×body512invalid
603.0ms497×body2048valid
382.0ms1683×body256valid
291.0ms1006×body256invalid
1.0msbody2048invalid
Bogosity

preprocess70.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
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)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(*.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)))
6.3%
(*.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))))
6.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
6.3%
(*.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)))
6.3%
(*.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))))
6.3%
(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 214 to 160 computations (25.2% saved)

localize2.7s (6.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
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)))
99.3%
(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)))))
96.9%
(/.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))))
11.7%
(-.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 (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))))
99.3%
(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))))))
96.9%
(/.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)))))
11.7%
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 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)))))))
99.3%
(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))))))
96.9%
(/.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)))))
11.7%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 500 to 328 computations (34.4% saved)

series219.0ms (0.6%)

Counts
12 → 144
Calls

36 calls:

TimeVariablePointExpression
46.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
38.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
37.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
21.0ms
f
@-inf
(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))))))
20.0ms
f
@inf
(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))))))

rewrite110.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
728×add-sqr-sqrt
716×pow1
714×*-un-lft-identity
688×add-exp-log
682×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042636
1980354
Stop Event
node limit
Counts
12 → 276
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
(/.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)))))
(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))))))
(*.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 (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))))
(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 (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)))
Outputs
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3)) (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f))) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1)
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(-.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (neg.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) 1)
(*.f64 1 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) -4) (PI.f64))
(pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 2)
(neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
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(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
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(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3)) (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f))) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1)
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(-.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (neg.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) 1)
(*.f64 1 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) -4) (PI.f64))
(pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 2)
(neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))

simplify234.0ms (0.6%)

Algorithm
egg-herbie
Rules
662×log-prod
492×associate-*r*
426×distribute-lft-neg-in
422×sqr-pow
418×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036926680
1104720020
2453519106
Stop Event
node limit
Counts
420 → 196
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
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(fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1)
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(-.f64 0 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (log.f64 (neg.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))) 1)
(*.f64 1 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 2)
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) -4) (PI.f64))
(pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 2)
(neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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0
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0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
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0
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0
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0
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0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(pow.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) 2)
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(pow.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))) 2)
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0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
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(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
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(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
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(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
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(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
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(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))) 1)
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(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
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(/.f64 1 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
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(*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (/.f64 1/2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) (/.f64 1/2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(/.f64 1 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))
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(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 1))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
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(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
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(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3)) (pow.f64 (exp.f64 f) (*.f64 (*.f64 (PI.f64) -1/4) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (+.f64 f f))) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 1)
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3) 1/3)
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 2)
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(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
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(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 3))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 1))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))))
(fma.f64 2 (sinh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 0)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
0
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(neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (*.f64 (PI.f64) -1/4))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 2))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) (/.f64 4 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64))) 3))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))) 1))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 -4 (PI.f64)))

eval401.0ms (1%)

Compiler

Compiled 7462 to 5690 computations (23.7% saved)

prune47.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1888196
Fresh000
Picked303
Done000
Total1918199
Accuracy
99.0%
Counts
199 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.7%
(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 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
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 (PI.f64) (*.f64 f 1/2))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.7%
(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 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
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 (PI.f64) (*.f64 f 1/2))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))
Compiler

Compiled 740 to 616 computations (16.8% saved)

localize2.0s (5.1%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.4%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
99.3%
(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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
96.9%
(/.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
11.7%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
99.6%
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))))
99.3%
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))
54.8%
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.5%
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
100.0%
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
99.6%
(*.f64 (PI.f64) (*.f64 f 1/2))
99.6%
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
98.4%
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
Compiler

Compiled 644 to 461 computations (28.4% saved)

series214.0ms (0.6%)

Counts
19 → 160
Calls

42 calls:

TimeVariablePointExpression
65.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
31.0ms
f
@-inf
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))
21.0ms
f
@inf
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))
15.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
15.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))

rewrite145.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1268×pow1
1224×add-exp-log
1212×add-log-exp
1206×log1p-expm1-u
1206×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064771
11405771
Stop Event
node limit
Counts
19 → 184
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)
(pow.f64 (PI.f64) 3)
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.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 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
Outputs
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 1 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
(pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)
(*.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
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(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.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 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 1)
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))

simplify241.0ms (0.6%)

Algorithm
egg-herbie
Rules
1410×associate-*r*
1278×associate-*l*
846×fma-def
502×distribute-rgt-in
502×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069624126
1182219646
Stop Event
node limit
Counts
344 → 367
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
Outputs
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
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(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))))

eval345.0ms (0.9%)

Compiler

Compiled 17143 to 13029 computations (24% saved)

prune117.0ms (0.3%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New36824392
Fresh213
Picked415
Done000
Total37426400
Accuracy
99.2%
Counts
400 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
93.6%
(*.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
94.6%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
94.9%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
94.9%
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
94.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
95.0%
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
94.9%
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
93.8%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
93.8%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
94.5%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
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 (PI.f64) (*.f64 f 1/2))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
3.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
75.0%
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.6%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
93.6%
(*.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
94.6%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
94.9%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
94.9%
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
94.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
95.0%
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
94.9%
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
93.8%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
93.8%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
94.5%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
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 (PI.f64) (*.f64 f 1/2))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
3.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
75.0%
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
93.6%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
Compiler

Compiled 1866 to 1584 computations (15.1% saved)

localize8.0s (20.6%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
99.9%
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
97.2%
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
9.6%
(PI.f64)
99.9%
(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
99.9%
(expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))
99.4%
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
9.6%
(PI.f64)
99.9%
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
99.9%
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
99.9%
(/.f64 (/.f64 4 (PI.f64)) f)
9.6%
(PI.f64)
100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
100.0%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
99.9%
(/.f64 (/.f64 4 (PI.f64)) f)
9.6%
(PI.f64)
99.9%
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
99.9%
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))
99.9%
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
9.6%
(PI.f64)
Compiler

Compiled 492 to 375 computations (23.8% saved)

series7.0ms (0%)

Counts
20 → 144
Calls

36 calls:

TimeVariablePointExpression
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
1.0ms
f
@0
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
1.0ms
f
@inf
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
1.0ms
f
@-inf
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
0.0ms
f
@inf
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))

rewrite125.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
774×add-sqr-sqrt
752×pow1
742×*-un-lft-identity
736×add-exp-log
732×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045390
1937330
Stop Event
node limit
Counts
20 → 429
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(PI.f64)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(PI.f64)
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(PI.f64)
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))
(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
(PI.f64)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(exp.f64 (-.f64 (*.f64 3 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 1/4)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))) 1)
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))
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(pow.f64 (exp.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log.f64 (exp.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 1)
(/.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)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 2)
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3))
(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)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) 1))

simplify160.0ms (0.4%)

Algorithm
egg-herbie
Rules
1584×log-prod
702×associate-*l*
684×associate-*r*
514×fma-neg
440×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053512569
1118611335
2576811335
Stop Event
node limit
Counts
573 → 309
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
1
(+.f64 1 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))))
1
(+.f64 1 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(exp.f64 (-.f64 (*.f64 3 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 1/4)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) 1/4) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))) 1)
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)) 2)) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8) (*.f64 (pow.f64 (/.f64 (PI.f64) 1/4) 3) -1/884736)) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) -1/96) 2) (*.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (pow.f64 (*.f64 (/.f64 (PI.f64) 1/4) -1/96) 2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (neg.f64 (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))) 3)
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(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) 1))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
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(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
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(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
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(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)
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(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) 1)
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(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(+.f64 0 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (/.f64 4 f) (PI.f64))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 (/.f64 4 f) (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 2)) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 -2 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 1 (/.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 2))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (E.f64) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 3) 1/3)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 2) -1)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 3))
(/.f64 (/.f64 4 f) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1))
(/.f64 (/.f64 4 f) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 1 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 2) (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)) (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)))
(pow.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (E.f64) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (exp.f64 2) (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3)
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3) 1/3)
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 2)
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2)) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (exp.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3) 1/3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))

eval293.0ms (0.8%)

Compiler

Compiled 14489 to 11181 computations (22.8% saved)

prune169.0ms (0.4%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New60223625
Fresh14620
Picked415
Done011
Total62031651
Accuracy
99.3%
Counts
651 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
94.4%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
93.6%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
3.6%
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
31.8%
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
94.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
94.4%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
95.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
3.6%
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
94.9%
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
95.0%
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
94.9%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
93.8%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
94.5%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
93.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
75.0%
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
94.8%
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
94.4%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
93.6%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
3.6%
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
31.8%
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
94.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
94.4%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
95.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
3.6%
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
94.9%
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
95.0%
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
94.9%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
93.8%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
94.5%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
93.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
75.0%
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
93.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
Compiler

Compiled 1900 to 1618 computations (14.8% saved)

localize451.0ms (1.2%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
98.3%
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
96.6%
(PI.f64)
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.2%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
98.9%
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)
96.6%
(PI.f64)
99.6%
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2)))
99.5%
(/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64))
98.5%
(log.f64 (/.f64 2 (PI.f64)))
96.6%
(PI.f64)
100.0%
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
99.5%
(/.f64 (/.f64 4 f) (PI.f64))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
96.6%
(PI.f64)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
98.5%
(/.f64 (PI.f64) -24)
98.5%
(+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))
96.6%
(PI.f64)
Compiler

Compiled 364 to 261 computations (28.3% saved)

series75.0ms (0.2%)

Counts
13 → 120
Calls

30 calls:

TimeVariablePointExpression
28.0ms
f
@inf
(/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64))
27.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64))
12.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))

rewrite104.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
848×add-sqr-sqrt
818×pow1
814×*-un-lft-identity
800×add-exp-log
792×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045377
1966369
Stop Event
node limit
Counts
13 → 210
Calls
Call 1
Inputs
(+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))
(/.f64 (PI.f64) -24)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 2 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2)))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(expm1.f64 (log1p.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)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))) 1)
(*.f64 1 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))) (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) (pow.f64 (*.f64 (PI.f64) 1/8) 3)) (fma.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) -1/24) (-.f64 (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8)) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) -1/24)) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8))) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)))
(pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) -1/24)) (exp.f64 (*.f64 (PI.f64) 1/8))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/8)) (exp.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) (cbrt.f64 (*.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) (cbrt.f64 (*.f64 (PI.f64) -1/24))) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(*.f64 (PI.f64) -1/24)
(*.f64 1 (*.f64 (PI.f64) -1/24))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) (cbrt.f64 (*.f64 (PI.f64) -1/24))) (cbrt.f64 (*.f64 (PI.f64) -1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (/.f64 -24 (PI.f64)) -1)
(log.f64 (exp.f64 (*.f64 (PI.f64) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) -1/24)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) (/.f64 4 f))))
(-.f64 (log.f64 (neg.f64 (/.f64 4 f))) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(*.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(log.f64 (+.f64 1 (expm1.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)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))

simplify160.0ms (0.4%)

Algorithm
egg-herbie
Rules
928×div-sub
808×associate-*r*
804×associate-*l*
600×fma-neg
496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055911892
112709802
257449564
Stop Event
node limit
Counts
330 → 296
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2))) (cbrt.f64 (log.f64 (*.f64 f 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2))) (cbrt.f64 (log.f64 (*.f64 f 1/2)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f 1/2))) (cbrt.f64 (log.f64 (*.f64 f 1/2)))))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (PI.f64))) 3) (pow.f64 (log.f64 (*.f64 f 1/2)) 3)) (fma.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 2 (PI.f64))) (fma.f64 (log.f64 (*.f64 f 1/2)) (log.f64 (*.f64 f 1/2)) (*.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 2 (PI.f64)))) (*.f64 (log.f64 (*.f64 f 1/2)) (log.f64 (*.f64 f 1/2)))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 2)))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)) (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3/2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3/2))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(-.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(*.f64 1 (*.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 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64))
(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)))))))
(log.f64 (+.f64 1 (expm1.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)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(-.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(/.f64 (*.f64 4 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64))
(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)))))))
(log.f64 (+.f64 1 (expm1.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)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 f 4) (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12))))
(fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 4))) (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 f 4) (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (fma.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 3))) (fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)))))
(fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 4))) (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 f 6))) (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/12))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/12)))) (/.f64 32 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (pow.f64 (*.f64 (PI.f64) 1/12) 2))))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (*.f64 4 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(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)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 0)
(/.f64 (*.f64 4 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(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)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))

eval959.0ms (2.5%)

Compiler

Compiled 34079 to 25317 computations (25.7% saved)

prune217.0ms (0.6%)

Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New1601101611
Fresh121224
Picked325
Done022
Total1616261642
Accuracy
99.3%
Counts
1642 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
93.6%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
95.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
94.9%
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
95.0%
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
94.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
94.4%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
95.0%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
93.7%
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
94.8%
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -4)
94.9%
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
6.3%
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
93.8%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
95.9%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
95.9%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
94.9%
(neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
94.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
93.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
52.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
93.7%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
Compiler

Compiled 1565 to 1209 computations (22.7% saved)

regimes281.0ms (0.7%)

Counts
68 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -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 (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 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.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 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.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 (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)))
Outputs
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2)))))
Calls

6 calls:

121.0ms
f
86.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
13.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
12.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
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)))))
Results
AccuracySegmentsBranch
98.8%2f
98.8%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))))))))
98.5%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.5%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.5%2(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
98.8%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1309 to 987 computations (24.6% saved)

regimes66.0ms (0.2%)

Counts
54 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

44.0ms
f
Results
AccuracySegmentsBranch
95.9%1f
Compiler

Compiled 744 to 556 computations (25.3% saved)

regimes84.0ms (0.2%)

Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

26.0ms
f
Results
AccuracySegmentsBranch
95.9%1f
Compiler

Compiled 726 to 543 computations (25.2% saved)

regimes96.0ms (0.2%)

Accuracy

Total -59.8b remaining (-1870.1%)

Threshold costs -59.8b (-1870.1%)

Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) (PI.f64)) -4)
(*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(*.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) -4)
(*.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) -4)
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) (log.f64 2)) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 f 2))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)) -4)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (sqrt.f64 (PI.f64)) 2)) -4)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1) 3))) (PI.f64)) -4)
(*.f64 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)) 3)) (PI.f64)) -4)
Outputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
Calls

1 calls:

34.0ms
f
Results
AccuracySegmentsBranch
95.0%1f
Compiler

Compiled 659 to 490 computations (25.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3182261022689436e-43
6.021438914342231e-43
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify33.0ms (0.1%)

Algorithm
egg-herbie
Rules
52×neg-mul-1
38×unsub-neg
38×*-commutative
20×distribute-lft-neg-in
20×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058262
187262
2109262
3124258
4133258
5168258
6220258
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/12554203470773361527671578846415332832204710888928069025792) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
Outputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/12554203470773361527671578846415332832204710888928069025792) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2))))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/12554203470773361527671578846415332832204710888928069025792) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) -2))) (/.f64 -1 (/.f64 (PI.f64) 4))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
Compiler

Compiled 83 to 66 computations (20.5% saved)

soundness2.3s (6.1%)

Rules
1584×log-prod
1436×times-frac
1410×associate-*r*
1410×associate-*r*
1336×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031397
191363
2240327
3720327
42345327
036926680
1104720020
2453519106
042636
1980354
064771
11405771
069624126
1182219646
069624126
1182219646
036926680
1104720020
2453519106
064771
11405771
045390
1937330
053512569
1118611335
2576811335
045377
1966369
055911892
112709802
257449564
055911892
112709802
257449564
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
Compiler

Compiled 1909 to 1504 computations (21.2% saved)

end0.0ms (0%)

preprocess73.0ms (0.2%)

Compiler

Compiled 236 to 180 computations (23.7% saved)

Profiling

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