VandenBroeck and Keller, Equation (20)

Time bar (total: 22.2s)

analyze330.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
8.3%3.9%43.3%0%0%28.5%24.2%9
8.7%4.1%43.1%0%0%28.5%24.2%10
9.1%4.3%42.9%0%0%28.6%24.2%11
9.1%4.3%42.8%0%0%28.6%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample9.8s (44.3%)

Results
3.3s3969×body1024valid
3.1s3857×body1024invalid
1.1s2021×body512valid
952.0ms1981×body512invalid
594.0ms1881×body256valid
489.0ms385×body2048valid
343.0ms1091×body256invalid
2.0msbody256unsamplable
Bogosity

preprocess1.5s (6.8%)

Algorithm
egg-herbie
Rules
1554×fma-def
850×associate-/l*
696×associate-*r/
536×cancel-sign-sub-inv
520×distribute-lft-in
FPErrors
Click to see full error table
truthopredexupredexsubexpr
2450-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
80-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10-0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
10-0-(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
10-0-#f
00-0-(*.f64 (/.f64 (PI.f64) 4) f)
00-0-(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
00-0-(PI.f64)
00-0-(/.f64 (PI.f64) 4)
00-0-(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))))))))
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
00-0-f
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
00-0-4
00-0-1
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 434 to 320 computations (26.3% saved)

eval3.0ms (0%)

Compiler

Compiled 169 to 118 computations (30.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(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))))))))
6.2%
(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))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize625.0ms (2.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
96.5%
(/.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)))))
11.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series78.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
37.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
31.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
4.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(/.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)))))
1.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))

rewrite152.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
250×associate-*r*
168×associate-*l*
138×add-exp-log
137×add-log-exp
137×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
1313112
25532112
Stop Event
unsound
Counts
4 → 64
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify151.0ms (0.7%)

Algorithm
egg-herbie
Rules
1344×times-frac
1314×fma-def
662×distribute-lft-in
658×distribute-rgt-in
622×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01423777
14233549
216343244
Stop Event
node limit
Counts
112 → 62
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))
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(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval53.0ms (0.2%)

Compiler

Compiled 2907 to 2198 computations (24.4% saved)

prune98.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New59968
Fresh000
Picked101
Done000
Total60969
Accuracy
96.4%
Counts
69 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
95.2%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
Compiler

Compiled 1020 to 816 computations (20% saved)

localize921.0ms (4.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))
98.4%
(fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))
98.4%
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
99.9%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.9%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
97.0%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
99.6%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.0%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))))
Compiler

Compiled 678 to 501 computations (26.1% saved)

series172.0ms (0.8%)

Counts
17 → 128
Calls

33 calls:

TimeVariablePointExpression
40.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
23.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
20.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
19.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
19.0ms
f
@-inf
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))

rewrite165.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
368×cbrt-prod
366×log1p-expm1-u
366×expm1-log1p-u
364×add-exp-log
359×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057524
1899524
Stop Event
node limit
Counts
17 → 356
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
Outputs
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (/.f64 1 (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 f (*.f64 (PI.f64) 1/2)))))))
(+.f64 0 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (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 f (*.f64 (PI.f64) 1/2))))))
(-.f64 0 (log.f64 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (log.f64 (neg.f64 (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 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 2) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 2)
(neg.f64 (log.f64 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 3))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))

simplify189.0ms (0.9%)

Algorithm
egg-herbie
Rules
1286×associate-*r*
1142×associate-*l*
900×fma-def
564×distribute-lft-in
552×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090821185
1230518892
Stop Event
node limit
Counts
484 → 503
Calls
Call 1
Inputs
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(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0))))
(+.f64 (*.f64 f 0) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 1/2 (+.f64 (*.f64 f (*.f64 (PI.f64) 0)) (*.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))))))
(+.f64 (*.f64 1/2 (fma.f64 f 0 (*.f64 (pow.f64 f 2) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)) (*.f64 3/2 (*.f64 (PI.f64) (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (fma.f64 -3/4 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) 1/12))) (fma.f64 1/4 (pow.f64 (*.f64 (PI.f64) 0) 3) (*.f64 3/2 (*.f64 (PI.f64) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (*.f64 -1/48 (*.f64 (PI.f64) (*.f64 (PI.f64) 0))))))))) (*.f64 1/2 (+.f64 (*.f64 f (*.f64 (PI.f64) 0)) (*.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))))))
(+.f64 (fma.f64 1/2 (fma.f64 f 0 (*.f64 (pow.f64 f 2) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (*.f64 (*.f64 1/6 (fma.f64 (*.f64 3/2 (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) 0) 0)) (pow.f64 f 3))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 (*.f64 61440 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (*.f64 (log.f64 f) -5))
(-.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 5)))) (-.f64 (*.f64 5 (neg.f64 (log.f64 f))) (/.f64 320 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (*.f64 61440 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 (log.f64 f) -5) (/.f64 -320 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (*.f64 5 (log.f64 (/.f64 1 f))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 5)))) (-.f64 (fma.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 9)) -4404019200)) (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (*.f64 5 (neg.f64 (log.f64 f)))) (/.f64 320 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (*.f64 61440 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/2560 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 9)) -4404019200)) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (*.f64 (log.f64 f) -5)) (/.f64 -320 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 -15/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (*.f64 -3/256 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (*.f64 -320 (/.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))))) (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (*.f64 5 (log.f64 (/.f64 1 f)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 5)))) (-.f64 (fma.f64 1/720 (/.f64 (-.f64 (fma.f64 -15/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 9)) -4404019200)) (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))) (*.f64 -3/256 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (fma.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 11)) (*.f64 -320 (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 9)) -4404019200) (pow.f64 (PI.f64) 2)))))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) 9)) -4404019200)) (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (*.f64 5 (neg.f64 (log.f64 f))))) (/.f64 320 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))))) 1)
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) (log.f64 (neg.f64 (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 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 -2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (neg.f64 (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 f (*.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)) -2)) (log.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 2) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 1)
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 3)
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 3) 1/3)
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 2)
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(neg.f64 (log.f64 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 2))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))) 2))
(fabs.f64 (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2)))))) 3))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))))) 1))
(log.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log1p.f64 (-.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (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 f (*.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (+.f64 (/.f64 2 (/.f64 (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 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) -1))
(log1p.f64 (+.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 2))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
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(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (fma.f64 (*.f64 1/48 (PI.f64)) -2 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 0))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 (*.f64 4 (/.f64 1 f)) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(/.f64 1 (*.f64 (/.f64 f 4) (PI.f64)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(fabs.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1))
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))

eval431.0ms (1.9%)

Compiler

Compiled 21880 to 16411 computations (25% saved)

prune173.0ms (0.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New60422626
Fresh314
Picked415
Done000
Total61124635
Accuracy
96.7%
Counts
635 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
95.2%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (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 f (*.f64 (PI.f64) 1/2))))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
78.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.7%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
94.8%
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
95.2%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
93.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (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 f (*.f64 (PI.f64) 1/2))))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
78.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.7%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
94.8%
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
Compiler

Compiled 1722 to 1434 computations (16.7% saved)

localize558.0ms (2.5%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
99.2%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
96.2%
(PI.f64)
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
99.3%
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
98.9%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
96.2%
(PI.f64)
99.5%
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
98.5%
(*.f64 (PI.f64) 1/12)
98.5%
(log.f64 (*.f64 (PI.f64) 1/12))
96.2%
(PI.f64)
96.2%
(PI.f64)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
98.5%
(*.f64 (PI.f64) 1/12)
96.2%
(PI.f64)
Compiler

Compiled 299 to 190 computations (36.5% saved)

series76.0ms (0.3%)

Counts
17 → 96
Calls

27 calls:

TimeVariablePointExpression
53.0ms
f
@0
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
7.0ms
f
@inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
4.0ms
f
@0
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
3.0ms
f
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
1.0ms
f
@inf
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))

rewrite274.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1746×prod-diff
676×expm1-udef
338×associate-*r*
218×associate-*l*
188×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037337
1567337
25916337
Stop Event
node limit
Counts
17 → 545
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (PI.f64) 1/12)
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(PI.f64)
(log.f64 (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(PI.f64)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(PI.f64)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(/.f64 4 (*.f64 f (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) 1/12)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))) 1)
(*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1)
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(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 0 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 (*.f64 (PI.f64) f)))) (+.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) -1/4))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) 1/4))) (sqrt.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
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(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
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(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 f 2))) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

simplify204.0ms (0.9%)

Algorithm
egg-herbie
Rules
1018×associate-*r*
1012×times-frac
946×associate-*l*
730×associate-/r*
544×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084823725
1201521820
Stop Event
node limit
Counts
641 → 508
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 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
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(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
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(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 f 2))) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64)) (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64)) (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (+.f64 (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64)) (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2))) (-.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (+.f64 (/.f64 (/.f64 192 (pow.f64 (PI.f64) 3)) (pow.f64 f 2)) (-.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 (/.f64 4608 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
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(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(/.f64 -4 (*.f64 (PI.f64) (neg.f64 f)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(/.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f))) (cbrt.f64 (pow.f64 f 2)))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (*.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (*.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(/.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f))) (cbrt.f64 (pow.f64 f 2)))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (*.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (cbrt.f64 (pow.f64 f 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (cbrt.f64 (pow.f64 f 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 f (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 f 2)))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (cbrt.f64 f)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 f 2)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 f 2))) (/.f64 4 (cbrt.f64 f)))
(/.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f))) (cbrt.f64 (pow.f64 f 2)))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)

eval315.0ms (1.4%)

Compiler

Compiled 14186 to 10081 computations (28.9% saved)

prune180.0ms (0.8%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New68817705
Fresh12618
Picked325
Done011
Total70326729
Accuracy
96.8%
Counts
729 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
95.2%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
94.8%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
95.4%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
94.8%
(neg.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
94.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
94.9%
(neg.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 f 1/12) (PI.f64))) (PI.f64))) 3)))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))))
78.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
95.2%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
94.8%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
95.4%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
94.8%
(neg.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
94.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
94.9%
(neg.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 f 1/12) (PI.f64))) (PI.f64))) 3)))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))))
78.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
Compiler

Compiled 1712 to 1408 computations (17.8% saved)

localize975.0ms (4.4%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
99.3%
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
96.2%
(PI.f64)
99.6%
(*.f64 (PI.f64) f)
99.5%
(-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
99.4%
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))
96.2%
(PI.f64)
100.0%
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
99.2%
(/.f64 (/.f64 4 f) (PI.f64))
96.2%
(PI.f64)
99.6%
(*.f64 (PI.f64) (*.f64 f 1/12))
99.5%
(*.f64 f 1/12)
99.3%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
96.2%
(PI.f64)
99.6%
(pow.f64 (*.f64 (PI.f64) f) 3)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
98.5%
(pow.f64 (PI.f64) 5)
96.2%
(PI.f64)
Compiler

Compiled 506 to 335 computations (33.8% saved)

series152.0ms (0.7%)

Counts
13 → 144
Calls

39 calls:

TimeVariablePointExpression
21.0ms
f
@-inf
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))
20.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
19.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
16.0ms
f
@-inf
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
13.0ms
f
@0
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))

rewrite177.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
388×log1p-expm1-u
386×expm1-log1p-u
378×add-exp-log
377×add-cube-cbrt
375×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058439
1996415
Stop Event
node limit
Counts
13 → 313
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))))))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(*.f64 f 1/12)
(*.f64 (PI.f64) (*.f64 f 1/12))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
(/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))
(-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
(/.f64 4 (*.f64 f (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))) 2)
(log.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) f) 3))) 1)
(*.f64 1 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (*.f64 (PI.f64) f) (pow.f64 (*.f64 (PI.f64) f) 2))
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))
(*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(*.f64 (pow.f64 (*.f64 (PI.f64) f) 3/2) (pow.f64 (*.f64 (PI.f64) f) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2)) 3) (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) f) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))) 1)
(/.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))) 2)
(log.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f 1/12))) 1)
(pow.f64 (*.f64 f 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 f 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 f 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 1/12) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f 1/12))))
(cbrt.f64 (pow.f64 (*.f64 f 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 f 1/12)))
(exp.f64 (log.f64 (*.f64 f 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 f 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 f 1/12)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/12)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f 1/12) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f 1/12) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/12))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (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 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(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 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(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 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(+.f64 (fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))
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(-.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(*.f64 1 (*.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 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (-.f64 (*.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (PI.f64) f)))) (pow.f64 (*.f64 (PI.f64) 1/4) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2)) (log.f64 (*.f64 (pow.f64 4 (/.f64 4 (PI.f64))) (pow.f64 (*.f64 (PI.f64) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 4) (PI.f64)) 3) 1/64) (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/64)) (+.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2) (*.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(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 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (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 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(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 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(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))))

simplify303.0ms (1.4%)

Algorithm
egg-herbie
Rules
1546×log-prod
954×associate-*r*
918×associate-*l*
610×fma-neg
540×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071624179
1185119715
2744719715
Stop Event
node limit
Counts
457 → 320
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) 2))) (*.f64 12 (*.f64 (PI.f64) (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (PI.f64))) (+.f64 (*.f64 1/15360 (pow.f64 (PI.f64) 3)) (*.f64 1/96 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))))))))) (PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/1280 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 1/180 (/.f64 (-.f64 (+.f64 (*.f64 -15/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -3/128 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -301989888000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 -320 (/.f64 (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/1280 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2)) (log.f64 (*.f64 (pow.f64 4 (/.f64 4 (PI.f64))) (pow.f64 (*.f64 (PI.f64) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 4) (PI.f64)) 3) 1/64) (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/64)) (+.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2) (*.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(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 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) f))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(+.f64 (fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))
(+.f64 (fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))))
(+.f64 (fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(+.f64 (fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))
(+.f64 (fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f))))) (fma.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) f)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))))
(-.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(*.f64 1 (*.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 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (-.f64 (*.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (PI.f64) f)))) (pow.f64 (*.f64 (PI.f64) 1/4) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2)) (log.f64 (*.f64 (pow.f64 4 (/.f64 4 (PI.f64))) (pow.f64 (*.f64 (PI.f64) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 4) (PI.f64)) 3) 1/64) (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)) 3) 1/64)) (+.f64 (pow.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 2) (*.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(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 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (log.f64 4) (/.f64 4 (PI.f64)) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 4) (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (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 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(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 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(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))))
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)))
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(*.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 -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 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))) 3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64))) 3) 1/3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(log.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(exp.f64 (log.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (/.f64 4 (PI.f64)))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
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(log1p.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) f) 3))) 1)
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 1 (pow.f64 (*.f64 (PI.f64) f) 3))
(pow.f64 (*.f64 (PI.f64) f) 3)
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(pow.f64 (*.f64 (PI.f64) f) 3)
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(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) (*.f64 (PI.f64) f))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (pow.f64 (*.f64 (PI.f64) f) 3/2) (pow.f64 (*.f64 (PI.f64) f) 3/2))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2)) 3) (*.f64 (PI.f64) f))
(pow.f64 (*.f64 (PI.f64) f) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 3))
(pow.f64 (*.f64 (PI.f64) f) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(pow.f64 (*.f64 (PI.f64) f) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) f) 3))))
(pow.f64 (*.f64 (PI.f64) f) 3)
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(pow.f64 (*.f64 (PI.f64) f) 3)
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2)))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
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(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(fma.f64 1 (*.f64 (log.f64 4) (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
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(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
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(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))

eval1.5s (6.9%)

Compiler

Compiled 48491 to 34263 computations (29.3% saved)

prune234.0ms (1.1%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New177351778
Fresh71118
Picked235
Done033
Total1782221804
Accuracy
96.8%
Counts
1804 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(neg.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 1/16 (pow.f64 (PI.f64) 2))))
95.2%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
94.8%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
95.2%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
95.1%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (*.f64 (PI.f64) f)) 1/4)))))
95.4%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
94.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
94.9%
(neg.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 f 1/12) (PI.f64))) (PI.f64))) 3)))
6.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
78.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
93.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
Compiler

Compiled 1373 to 1041 computations (24.2% saved)

regimes223.0ms (1%)

Counts
54 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(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 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 1/16 (pow.f64 (PI.f64) 2))))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (*.f64 (PI.f64) f)) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 f 1/12) (PI.f64))) (PI.f64))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (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))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (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 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (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 f (*.f64 (PI.f64) 1/2))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

111.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms
f
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
9.0ms
(*.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)))))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
95.5%1f
95.5%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
95.5%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
95.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
95.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
95.5%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1124 to 831 computations (26.1% saved)

regimes36.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(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 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
Calls

1 calls:

12.0ms
f
Results
AccuracySegmentsBranch
95.2%1f
Compiler

Compiled 322 to 237 computations (26.4% saved)

regimes73.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
95.1%1f
Compiler

Compiled 67 to 51 computations (23.9% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/12)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0%)

Algorithm
egg-herbie
Rules
82×neg-mul-1
54×unsub-neg
44×*-commutative
42×distribute-lft-neg-in
42×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039208
178208
2119208
3142204
4155204
5211204
6291204
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (*.f64 4 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 1/8)))
(*.f64 (log.f64 1/8) (/.f64 -1 (/.f64 (PI.f64) 4)))
Compiler

Compiled 62 to 52 computations (16.1% saved)

soundness1.9s (8.6%)

Rules
1546×log-prod
1344×times-frac
1344×times-frac
1344×times-frac
1314×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423777
14233549
216343244
057524
1899524
090821185
1230518892
020112
1313112
25532112
084823725
1201521820
071624179
1185119715
2744719715
01423777
14233549
216343244
057524
1899524
01423777
14233549
216343244
057524
1899524
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 1190 to 895 computations (24.8% saved)

end0.0ms (0%)

preprocess78.0ms (0.4%)

Compiler

Compiled 192 to 144 computations (25% saved)

Profiling

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