VandenBroeck and Keller, Equation (20)

Time bar (total: 26.6s)

analyze411.0ms (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
25%25%75%0%0%0%0%3
25%25%75%0%0%0%0%4
25%25%75%0%0%0%0%5
29%28.1%68.7%0%0%3.1%0%6
29%28.1%68.7%0%0%3.1%0%7
29%28.1%68.7%0%0%3.1%0%8
29.1%28.1%68.3%0%0%3.5%0%9
29.2%28.1%68.1%0%0%3.7%0%10
29.2%28.1%68%0%0%3.8%0%11
29.2%28.1%68%0%0%3.8%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample17.2s (64.6%)

Results
7.8s7694×body8192exit
2.6s4070×body1024valid
2.1s3900×body1024invalid
1.8s7605×body256unsamplable
896.0ms2002×body512valid
699.0ms2075×body512invalid
651.0ms531×body2048valid
365.0ms1653×body256valid
244.0ms992×body256invalid
2.0msbody2048invalid
Bogosity

preprocess56.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
031270
191242
2240218
3720218
42345218
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify59.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
6.0%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.0%
(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))))))))
5.9%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
6.0%
(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))))))))
Compiler

Compiled 142 to 108 computations (23.9% saved)

localize2.1s (7.8%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.8%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
99.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
97.3%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
10.7%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.3%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10.7%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 343 to 237 computations (30.9% saved)

series183.0ms (0.7%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
39.0ms
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)))))))
33.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
30.0ms
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)))))))
30.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
19.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))

rewrite52.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify113.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01918240
15487552
220657052
Stop Event
node limit
Counts
384 → 126
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64)))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 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)))
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) 1/41287680))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

eval101.0ms (0.4%)

Compiler

Compiled 5895 to 4425 computations (24.9% saved)

prune49.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12312135
Fresh000
Picked202
Done000
Total12512137
Accurracy
97.2%
Counts
137 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
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)))) 64))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
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)))) 64))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Compiler

Compiled 1260 to 1020 computations (19% saved)

localize680.0ms (2.6%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
100.0%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6)))
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))
99.6%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.5%
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
100.0%
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.4%
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
Compiler

Compiled 648 to 481 computations (25.8% saved)

series200.0ms (0.8%)

Counts
17 → 144
Calls

36 calls:

TimeVariablePointExpression
68.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
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)))) 256))
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)))) 6))
16.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))
16.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))

rewrite121.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
966×add-sqr-sqrt
930×pow1
920×add-exp-log
908×add-log-exp
906×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050431
11106431
Stop Event
node limit
Counts
17 → 162
Calls
Call 1
Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))
(*.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)))) 6)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
Outputs
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 1 (pow.f64 (PI.f64) 3)))
(*.f64 1 (pow.f64 (PI.f64) -1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) -1)) (cbrt.f64 (pow.f64 (PI.f64) -1))) (cbrt.f64 (pow.f64 (PI.f64) -1)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) -1)) (sqrt.f64 (pow.f64 (PI.f64) -1)))
(pow.f64 (PI.f64) -1)
(pow.f64 (pow.f64 (PI.f64) -1) 1)
(log.f64 (exp.f64 (pow.f64 (PI.f64) -1)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1) (pow.f64 (PI.f64) -1)) (pow.f64 (PI.f64) -1)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) -1)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) -1)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 6))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 256))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))

simplify140.0ms (0.5%)

Algorithm
egg-herbie
Rules
1278×distribute-lft-in
952×unswap-sqr
668×associate-*r*
606×associate-*l*
500×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04339162
19308548
242118012
Stop Event
node limit
Counts
306 → 256
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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1
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 6))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 256))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
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(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/6))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/6))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/6))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/6))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 256))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 256))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 256))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (log.f64 256))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) 1)
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/256))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/256)))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log.f64 (*.f64 1/128 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1)
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(/.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))

eval186.0ms (0.7%)

Compiler

Compiled 9243 to 7088 computations (23.3% saved)

prune145.0ms (0.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New30522327
Fresh077
Picked505
Done000
Total31029339
Accurracy
97.5%
Counts
339 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
95.4%
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
95.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.2%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
94.4%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
1.7%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
94.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
95.4%
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
95.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.2%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
94.4%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
1.7%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
94.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 2448 to 2036 computations (16.8% saved)

localize602.0ms (2.3%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 -1/4 f) (PI.f64))
99.6%
(*.f64 f (PI.f64))
98.5%
(/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64))
96.6%
(PI.f64)
99.6%
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
98.3%
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
96.6%
(PI.f64)
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
99.6%
(*.f64 (PI.f64) (*.f64 f 1/4))
96.6%
(PI.f64)
98.5%
(/.f64 (log.f64 1/3) (PI.f64))
96.6%
(PI.f64)
98.5%
(+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48))
98.5%
(/.f64 (*.f64 -2 (PI.f64)) 48)
97.0%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
96.6%
(PI.f64)
Compiler

Compiled 501 to 362 computations (27.7% saved)

series71.0ms (0.3%)

Counts
16 → 84
Calls

24 calls:

TimeVariablePointExpression
21.0ms
f
@inf
(/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64))
21.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
18.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
6.0ms
f
@-inf
(/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64))
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))

rewrite109.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1000×add-sqr-sqrt
958×pow1
942×add-exp-log
932×add-log-exp
928×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050302
11045302
Stop Event
node limit
Counts
16 → 138
Calls
Call 1
Inputs
(PI.f64)
(/.f64 (*.f64 -2 (PI.f64)) 48)
(+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48))
(PI.f64)
(/.f64 (log.f64 1/3) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(PI.f64)
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(PI.f64)
(/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64))
(*.f64 f (PI.f64))
(*.f64 (*.f64 -1/4 f) (PI.f64))
Outputs
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) -2) 1/48)
(*.f64 1 (*.f64 (*.f64 (PI.f64) -2) 1/48))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (sqrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(pow.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48)) (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 1 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)))) (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (sqrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (pow.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48)) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (PI.f64) -2) 1/48)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8)) (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48))) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(pow.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (log.f64 1/3) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/3) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/3) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(pow.f64 (/.f64 (log.f64 1/3) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 1/3) (PI.f64)) (/.f64 (log.f64 1/3) (PI.f64))) (/.f64 (log.f64 1/3) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) (*.f64 f 1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 1 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))))
(*.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(*.f64 (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))) 1)
(log.f64 (exp.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))) (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))

simplify99.0ms (0.4%)

Algorithm
egg-herbie
Rules
894×associate-*r*
850×associate-*l*
640×log-prod
502×unswap-sqr
464×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03815866
19205470
247635396
Stop Event
node limit
Counts
222 → 167
Calls
Call 1
Inputs
(*.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)))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.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)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) -2) 1/48)
(*.f64 1 (*.f64 (*.f64 (PI.f64) -2) 1/48))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (sqrt.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(pow.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48)) (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 1 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)))) (cbrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (sqrt.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (pow.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48)) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (PI.f64) -2) 1/48)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/8)) (*.f64 (*.f64 (*.f64 (PI.f64) -2) 1/48) (*.f64 (*.f64 (PI.f64) -2) 1/48))) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (*.f64 (PI.f64) -2) 1/48)))
(pow.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48)) (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))) (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))))
(fma.f64 (PI.f64) 1/8 (*.f64 (*.f64 (PI.f64) -2) 1/48))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (log.f64 1/3) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/3) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/3) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(pow.f64 (/.f64 (log.f64 1/3) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 1/3) (PI.f64)) (/.f64 (log.f64 1/3) (PI.f64))) (/.f64 (log.f64 1/3) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) (*.f64 f 1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 1 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))))
(*.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(*.f64 (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))) 1)
(log.f64 (exp.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))) (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))) (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
Outputs
(*.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)))
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(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 1)
(*.f64 (PI.f64) (*.f64 f -1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(*.f64 (PI.f64) (*.f64 f -1/4))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (PI.f64) (*.f64 f -1/4))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 (PI.f64) (*.f64 f -1/4))

eval175.0ms (0.7%)

Compiler

Compiled 8574 to 6124 computations (28.6% saved)

prune114.0ms (0.4%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New29711308
Fresh61824
Picked325
Done000
Total30631337
Accurracy
97.5%
Counts
337 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
95.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.2%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
94.4%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (exp.f64 (log.f64 (*.f64 (PI.f64) f)))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
1.7%
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
1.7%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
94.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
95.3%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
95.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.2%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
94.4%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (exp.f64 (log.f64 (*.f64 (PI.f64) f)))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
95.5%
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
1.7%
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
1.7%
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
94.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 2460 to 2028 computations (17.6% saved)

localize460.0ms (1.7%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.5%
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
99.4%
(/.f64 (log.f64 f) (PI.f64))
96.9%
(log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))
100.0%
(cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))
99.6%
(*.f64 f (*.f64 (PI.f64) 1/4))
98.5%
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
97.7%
(log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
100.0%
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
99.5%
(/.f64 (/.f64 4 f) (PI.f64))
99.5%
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
99.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)
98.4%
(*.f64 (PI.f64) 1/12)
98.4%
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
Compiler

Compiled 445 to 304 computations (31.7% saved)

series185.0ms (0.7%)

Counts
16 → 152
Calls

39 calls:

TimeVariablePointExpression
116.0ms
f
@-inf
(log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
21.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
17.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
17.0ms
f
@inf
(log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
2.0ms
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 (*.f64 (PI.f64) 1/2) f))))

rewrite124.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
978×add-sqr-sqrt
952×pow1
918×add-exp-log
906×add-log-exp
904×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049462
11057462
Stop Event
node limit
Counts
16 → 150
Calls
Call 1
Inputs
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)
(*.f64 (PI.f64) 1/12)
(fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))
(/.f64 (log.f64 f) (PI.f64))
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
Outputs
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12)) 0)
(*.f64 1 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0)))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) 1/12)))
(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 (*.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f)) 0)
(*.f64 1 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0))) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0) 1)
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0) (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)) (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 1 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(pow.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(*.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (/.f64 1 (PI.f64)) 4))
(*.f64 1 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(*.f64 1 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (sqrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) 2)
(pow.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (log.f64 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (log.f64 f))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3)) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))

simplify150.0ms (0.6%)

Algorithm
egg-herbie
Rules
1024×associate-*r*
998×associate-*l*
832×log-prod
622×exp-prod
518×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051812008
1119011154
2574811122
Stop Event
node limit
Counts
302 → 297
Calls
Call 1
Inputs
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 -1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (*.f64 -3/256 (pow.f64 (PI.f64) 4))))) (*.f64 -1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(*.f64 4 (/.f64 (log.f64 1/3) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))) (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (*.f64 -3/256 (pow.f64 (PI.f64) 4)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/6 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.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)))
1
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))))
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(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 1 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (cbrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(pow.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(*.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (/.f64 1 (PI.f64)) 4))
(*.f64 1 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(*.f64 1 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (sqrt.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) 2)
(pow.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (log.f64 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (log.f64 f))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3)) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (+.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (*.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
Outputs
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (*.f64 1/24 (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (*.f64 1/24 (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (*.f64 1/24 (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))
(*.f64 1/24 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 (*.f64 1/24 (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))
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(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (PI.f64) 1/4))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 f 1/2))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 f (*.f64 (PI.f64) 1/2))))

eval239.0ms (0.9%)

Compiler

Compiled 8428 to 6058 computations (28.1% saved)

prune87.0ms (0.3%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New30215317
Fresh101424
Picked415
Done022
Total31632348
Accurracy
97.5%
Counts
348 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))))
95.9%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))))
95.3%
(*.f64 (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (log.f64 f))) (*.f64 (PI.f64) (PI.f64))) -4)
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
95.4%
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 2)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
95.5%
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
95.4%
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
95.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
95.3%
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
6.0%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.4%
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
95.6%
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
1.7%
(neg.f64 (/.f64 (+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (exp.f64 (log.f64 (*.f64 (PI.f64) f)))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
95.6%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
1.7%
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
95.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
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)))) 64))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
94.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
94.2%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 1832 to 1392 computations (24% saved)

regimes249.0ms (0.9%)

Counts
62 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 2)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 (+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))))
(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)))) 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)))) 64))))
(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)))) 256))))
(*.f64 (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (log.f64 f))) (*.f64 (PI.f64) (PI.f64))) -4)
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 1/6 (+.f64 (pow.f64 (exp.f64 1/4) (exp.f64 (log.f64 (*.f64 (PI.f64) f)))) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12) 0) (PI.f64)) (*.f64 f f) 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 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/8) (/.f64 (*.f64 -2 (PI.f64)) 48)) 0) (PI.f64)) (*.f64 f f) 0)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (*.f64 f f) 0)))
Outputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))))
Calls

6 calls:

125.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms
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)))))
10.0ms
(*.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
95.9%1f
95.9%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))))))))
95.9%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)))))))
95.9%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))))))
95.9%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)))))
95.9%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1383 to 1022 computations (26.1% saved)

regimes33.0ms (0.1%)

Counts
40 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 2)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 (+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 6))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 256))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 6))))
(neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/6)) (*.f64 (PI.f64) 1/4)))))
Outputs
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
Calls

1 calls:

17.0ms
f
Results
AccuracySegmentsBranch
95.6%1f
Compiler

Compiled 600 to 456 computations (24% saved)

regimes27.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 1/3 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 1/128 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 f (PI.f64)) 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 2)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 (+.f64 (log.f64 1/3) (log.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
Outputs
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
Calls

1 calls:

15.0ms
f
Results
AccuracySegmentsBranch
95.5%1f
Compiler

Compiled 471 to 357 computations (24.2% saved)

regimes9.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
Outputs
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
95.5%1f
Compiler

Compiled 96 to 74 computations (22.9% saved)

regimes7.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 1/4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
Outputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
95.5%1f
Compiler

Compiled 85 to 66 computations (22.4% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify11.0ms (0%)

Algorithm
egg-herbie
Rules
36×*-commutative
20×sub-neg
20×+-commutative
14×neg-mul-1
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053260
179260
299260
3111260
4117260
5118260
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))))
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
Outputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24))))
(neg.f64 (fma.f64 (*.f64 (*.f64 f f) (PI.f64)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) 1/8 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) -4)
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/3) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 1/3) (PI.f64)))
(*.f64 (/.f64 (log.f64 1/3) (PI.f64)) (neg.f64 4))
Compiler

Compiled 85 to 69 computations (18.8% saved)

soundness2.0s (7.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
020127
152121
2127117
3334109
4987109
52558109
66093109
01918240
15487552
220657052
050431
11106431
04339162
19308548
242118012
050302
11045302
03815866
19205470
247635396
051812008
1119011154
2574811122
032200
1702200
01918240
15487552
220657052
04339162
19308548
242118012
049462
11057462
01918240
15487552
220657052
051812008
1119011154
2574811122
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1935 to 1411 computations (27.1% saved)

end0.0ms (0%)

preprocess92.0ms (0.3%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

Profiling

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