VandenBroeck and Keller, Equation (20)

Time bar (total: 30.0s)

analyze420.0ms (1.4%)

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

Compiled 39 to 31 computations (20.5% saved)

sample18.1s (60.5%)

Results
8.4s7944×body8192exit
2.6s4015×body1024valid
2.6s4089×body1024invalid
1.5s7964×body256unsamplable
907.0ms2007×body512valid
805.0ms2072×body512invalid
633.0ms567×body2048valid
393.0ms1667×body256valid
194.0ms1018×body256invalid
1.0msbody2048invalid
Bogosity

preprocess54.0ms (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)

simplify60.0ms (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)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New617
Fresh011
Picked000
Done000
Total628
Accurracy
6.4%
Counts
8 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize1.0s (3.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.1%
(/.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)))))
10.1%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series75.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
37.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
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)))))))
3.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))

rewrite44.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
404×add-sqr-sqrt
394×pow1
394×*-un-lft-identity
382×add-exp-log
380×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
1412100
26824100
Stop Event
unsound
Counts
4 → 104
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
Outputs
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify65.0ms (0.2%)

Algorithm
egg-herbie
Rules
1540×times-frac
1292×fma-def
686×distribute-rgt-in
686×distribute-lft-in
662×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01493510
14323242
216832942
Stop Event
node limit
Counts
152 → 80
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)))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 1/192 (*.f64 (pow.f64 f 3) (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))))))
(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 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192)))
(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) 5) (*.f64 (pow.f64 f 5) 1/61440))))
(+.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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))
(-.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)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.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)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval63.0ms (0.2%)

Compiler

Compiled 3566 to 2687 computations (24.6% saved)

prune52.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New781189
Fresh000
Picked011
Done000
Total781290
Accurracy
98.0%
Counts
90 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
97.3%
(neg.f64 (fma.f64 2 (+.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0)) (/.f64 (PI.f64) (*.f64 f f)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (+.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)))))))))))
96.7%
(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 (*.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))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
6.4%
(neg.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))))
97.3%
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
97.3%
(neg.f64 (fma.f64 2 (+.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0)) (/.f64 (PI.f64) (*.f64 f f)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (+.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)))))))))))
96.7%
(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 (*.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))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
6.4%
(neg.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))))
Compiler

Compiled 1692 to 1348 computations (20.3% saved)

localize2.7s (9%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 f (PI.f64))
99.4%
(/.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))
98.1%
(/.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)))))))
10.1%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
99.7%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.5%
(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)))
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.4%
(/.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))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.3%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(*.f64 1/384 (pow.f64 (PI.f64) 3))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(pow.f64 (PI.f64) 5)
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 1137 to 823 computations (27.6% saved)

series150.0ms (0.5%)

Counts
17 → 108
Calls

36 calls:

TimeVariablePointExpression
33.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
23.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
19.0ms
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)))
19.0ms
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)))
13.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))

rewrite122.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1062×add-sqr-sqrt
1028×pow1
1010×add-exp-log
998×add-log-exp
992×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051495
11131495
Stop Event
node limit
Counts
17 → 154
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 7)
(pow.f64 (PI.f64) 5)
(pow.f64 (PI.f64) 3)
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(-.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 (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 f (PI.f64))
Outputs
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 7)) (cbrt.f64 (pow.f64 (PI.f64) 7))) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 7)) (sqrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (pow.f64 (PI.f64) 7)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 7))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
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(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (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)))

simplify159.0ms (0.5%)

Algorithm
egg-herbie
Rules
1240×associate-*r*
1176×associate-*l*
834×log-prod
630×fma-def
430×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057311602
114969562
271329562
Stop Event
node limit
Counts
262 → 311
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(pow.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) 1)
(log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(-.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 (/.f64 4 (PI.f64)) (log.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 4 (PI.f64)) (log.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 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (*.f64 (/.f64 4 (PI.f64)) (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 (*.f64 (/.f64 4 (PI.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 (*.f64 (/.f64 4 (PI.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 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.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 2 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (*.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)))))
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))) (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (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)))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(*.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) 1)
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(cbrt.f64 (*.f64 (/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64)) (*.f64 (/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64)) (/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 1 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(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)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (*.f64 f (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(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))

eval282.0ms (0.9%)

Compiler

Compiled 16734 to 12406 computations (25.9% saved)

prune108.0ms (0.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New35421375
Fresh426
Picked505
Done101
Total36423387
Accurracy
98.3%
Counts
387 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
97.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (fma.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))))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
95.5%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
95.6%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
96.7%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
96.2%
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
96.1%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))))
96.1%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2)))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2)))))))))
96.7%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
97.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (fma.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))))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
95.4%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
95.5%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
95.6%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
96.7%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
96.2%
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
96.1%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))))
96.1%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2)))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2)))))))))
Compiler

Compiled 1976 to 1616 computations (18.2% saved)

localize552.0ms (1.8%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 f (*.f64 (PI.f64) 1/4))
99.6%
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
99.4%
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
98.1%
(PI.f64)
99.4%
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))
99.3%
(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
98.3%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))
98.1%
(PI.f64)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
98.3%
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
98.1%
(PI.f64)
99.7%
(*.f64 f (PI.f64))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
98.1%
(PI.f64)
99.6%
(/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
99.4%
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))
98.1%
(PI.f64)
93.4%
(exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
Compiler

Compiled 490 to 323 computations (34.1% saved)

series116.0ms (0.4%)

Counts
19 → 156
Calls

42 calls:

TimeVariablePointExpression
80.0ms
f
@inf
(exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
23.0ms
f
@-inf
(exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
6.0ms
f
@0
(exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
1.0ms
f
@0
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))
1.0ms
f
@0
(/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))

rewrite165.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
618×add-sqr-sqrt
612×pow1
608×*-un-lft-identity
588×add-exp-log
584×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043483
1922481
Stop Event
node limit
Counts
19 → 585
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(PI.f64)
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(PI.f64)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))
(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))
(PI.f64)
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(*.f64 f (*.f64 (PI.f64) 1/4))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))) 1)
(*.f64 1 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))) 2) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))) (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))) 1)
(pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(+.f64 0 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (PI.f64)))
(-.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (log.f64 (/.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) 1)
(*.f64 2 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 2 (/.f64 1 (*.f64 2 (/.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 -1 (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
(*.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (/.f64 1 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 1/2 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2) (/.f64 1 (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
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(*.f64 (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 1/2 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2) (/.f64 1 (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
(*.f64 (neg.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (neg.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 1 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2))
(*.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2) (/.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)))) (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 2 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 1) (/.f64 2 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)))) (/.f64 2 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) 2) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)))) (cbrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)))) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2))) (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cbrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sqrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2))) (cbrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2)) (sqrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 (cbrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sqrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2))) (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cbrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (/.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2))) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
(neg.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3) (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 (neg.f64 f) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 2))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 1/4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 f 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 1))
(exp.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))

simplify314.0ms (1%)

Algorithm
egg-herbie
Rules
1238×associate-*r*
1022×times-frac
974×associate-*l*
594×fma-def
430×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081541487
1211333427
Stop Event
node limit
Counts
741 → 441
Calls
Call 1
Inputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 2))) (/.f64 (sqrt.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (cbrt.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (/.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2))) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
(neg.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3) (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 (neg.f64 f) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 2))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 1/4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 f 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 1))
(exp.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
Outputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 f (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (*.f64 f 0)) (pow.f64 (PI.f64) 2)) (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (PI.f64))))))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 f (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (*.f64 (*.f64 f f) (*.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (fma.f64 2 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 4)) (*.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)))))) (*.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)))) (PI.f64)))))))
(fma.f64 -2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (*.f64 f 0)) (pow.f64 (PI.f64) 2)) (fma.f64 (*.f64 f f) (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (/.f64 0 (pow.f64 (PI.f64) 2))) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 4)))) (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -16 (/.f64 (*.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)))))) (PI.f64))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64))) (*.f64 -4/3 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 6))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (PI.f64)))))))))
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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 2))) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2))) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 2))) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))
(neg.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) -2)))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 2))
(fabs.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(log.f64 (exp.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 3)))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3) (pow.f64 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))) 1))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(/.f64 f (/.f64 4 (PI.f64)))
(*.f64 (/.f64 f 4) (PI.f64))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (*.f64 f (PI.f64)) 4)
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 (PI.f64) (/.f64 -4 (neg.f64 f)))
(/.f64 (neg.f64 f) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (neg.f64 f) -4) (PI.f64))
(pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 1)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3) 1/3)
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 1/2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 2))
(sqrt.f64 (pow.f64 (*.f64 1/4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cbrt.f64 (pow.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 3))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 1/4 (PI.f64)) 3)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/4 (PI.f64)) 3) (pow.f64 f 3)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cbrt.f64 (/.f64 (pow.f64 f 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 f 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) 1))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))
(exp.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 f 4) (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 (PI.f64) f))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 (PI.f64) 1/4))

eval426.0ms (1.4%)

Compiler

Compiled 19061 to 13883 computations (27.2% saved)

prune264.0ms (0.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New66417681
Fresh11718
Picked235
Done000
Total67727704
Accurracy
98.4%
Counts
704 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
96.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
96.6%
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
5.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f)))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
97.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (fma.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))))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
96.7%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
96.6%
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
97.7%
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))))
96.6%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)))))))) (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))
96.7%
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
95.6%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))
75.6%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
75.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
96.2%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
96.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
96.6%
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
5.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f)))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
97.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (fma.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))))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
96.7%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
96.6%
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
97.7%
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
97.7%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))))
96.6%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)))))))) (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))
96.7%
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
95.6%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))
75.6%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
75.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
Compiler

Compiled 3752 to 3088 computations (17.7% saved)

localize1.3s (4.4%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
99.3%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)
98.4%
(fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)))
98.4%
(/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))
99.7%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f))))
99.3%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f))))))
8.7%
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.3%
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
99.7%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.4%
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
99.9%
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
99.7%
(*.f64 f (*.f64 (PI.f64) 1/4))
98.1%
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
92.0%
(pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))
Compiler

Compiled 431 to 290 computations (32.7% saved)

series55.0ms (0.2%)

Counts
16 → 140
Calls

36 calls:

TimeVariablePointExpression
23.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
22.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
3.0ms
f
@0
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
1.0ms
f
@0
(pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))
1.0ms
f
@inf
(pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))

rewrite122.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
792×add-sqr-sqrt
766×pow1
762×*-un-lft-identity
750×add-exp-log
740×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044422
1927422
Stop Event
node limit
Counts
16 → 311
Calls
Call 1
Inputs
(pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))
(/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f))))))
(/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))
(fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)))
(/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))) 1)
(*.f64 1 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))) 2) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))) (sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64)))))
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(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(*.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192))
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 2)) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2)
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 1/4 (PI.f64))) 192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))

simplify196.0ms (0.7%)

Algorithm
egg-herbie
Rules
848×fma-def
812×associate-*r*
758×associate-*l*
542×distribute-lft-in
524×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070819647
1177716617
Stop Event
node limit
Counts
451 → 336
Calls
Call 1
Inputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (PI.f64))))))))
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(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.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 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
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(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(*.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192))
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 2)) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2)
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 1/4 (PI.f64))) 192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
Outputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 0)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 -2 (*.f64 (/.f64 f (pow.f64 (PI.f64) 2)) (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 0)) (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (PI.f64))))))))
(+.f64 (fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 0)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 f f) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (fma.f64 2 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 4)) (*.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)))))) (*.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)))) (PI.f64)))))))
(fma.f64 -2 (*.f64 (/.f64 f (pow.f64 (PI.f64) 2)) (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 0)) (fma.f64 (*.f64 f f) (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (/.f64 0 (pow.f64 (PI.f64) 2))) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 4)))) (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
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(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(*.f64 f (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 f (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 1 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 -2 (/.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2) (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 2)) (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (*.f64 -1/24 (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 -1/24 (PI.f64)) 2)))
(pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 1)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(pow.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3) 1/3)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(pow.f64 (/.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -2) -1)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(log.f64 (pow.f64 (exp.f64 (/.f64 -2 (/.f64 1/4 (PI.f64)))) 1/192))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))) 1)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2)) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))) (cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) 2)))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 3)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3) 1/3)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(/.f64 48 (PI.f64))
(*.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192))
(/.f64 48 (PI.f64))
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(/.f64 48 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(/.f64 48 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(/.f64 48 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 2)) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (cbrt.f64 (/.f64 48 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 2)))
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 1)
(/.f64 48 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 3)
(/.f64 48 (PI.f64))
(pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3) 1/3)
(/.f64 48 (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2)
(/.f64 48 (PI.f64))
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
(/.f64 48 (PI.f64))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/4 (PI.f64))) 192))
(/.f64 48 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))))
(/.f64 48 (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(/.f64 48 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(/.f64 48 (PI.f64))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(/.f64 48 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 1))
(/.f64 48 (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(/.f64 48 (PI.f64))

eval255.0ms (0.9%)

Compiler

Compiled 14266 to 10843 computations (24% saved)

prune153.0ms (0.5%)

Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New42211433
Fresh51419
Picked145
Done033
Total42832460
Accurracy
98.4%
Counts
460 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 2))
96.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
96.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 1 (*.f64 f (PI.f64)))))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
96.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
5.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f)))))))
95.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (pow.f64 (/.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -2) -1)) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
97.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
97.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
96.7%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
96.6%
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
97.7%
(neg.f64 (*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))
97.7%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (PI.f64))))))
96.6%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
97.2%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3))))))))) (/.f64 1 (PI.f64))))))
97.2%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))) (/.f64 1 (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)))))))) (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))))
97.3%
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))
96.7%
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
95.6%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))
75.6%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
75.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
Compiler

Compiled 3785 to 2982 computations (21.2% saved)

regimes139.0ms (0.5%)

Counts
61 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 1 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 2))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (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)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (pow.f64 (/.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -2) -1)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))))
(neg.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))))
(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 4 (/.f64 (log.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (*.f64 f (fma.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))))))) (PI.f64))))
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 f 1/2)))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
(neg.f64 (fma.f64 2 (+.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0)) (/.f64 (PI.f64) (*.f64 f f)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (+.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)))))))))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3))))))))) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (fma.f64 -8 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (fma.f64 (-.f64 (*.f64 -2 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64))) (fma.f64 -16 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128)))) (pow.f64 (PI.f64) 3)) (fma.f64 2 (/.f64 (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)) (*.f64 8 (/.f64 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 8 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (pow.f64 (PI.f64) 2)))))) (*.f64 f f) (*.f64 f (-.f64 (*.f64 (PI.f64) 1/8) (fma.f64 8 (/.f64 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/128))) (pow.f64 (PI.f64) 2)) (*.f64 -16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 3)))))))) (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 -8 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (*.f64 -16 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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))))) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (*.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 8 (/.f64 (+.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 (*.f64 1/3072 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (*.f64 f (-.f64 (*.f64 1/8 (PI.f64)) (+.f64 (*.f64 8 (/.f64 (+.f64 (*.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))
Outputs
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
Calls

6 calls:

45.0ms
f
26.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms
(*.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
(/.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
97.7%1f
97.7%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.7%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 2418 to 1854 computations (23.3% saved)

regimes70.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 1 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 (*.f64 1/8 f) (PI.f64)) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (log.f64 (exp.f64 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 2))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
(neg.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (/.f64 1 (PI.f64)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 1 (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)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
Calls

2 calls:

30.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
24.0ms
f
Results
AccuracySegmentsBranch
97.7%1f
97.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 733 to 533 computations (27.3% saved)

regimes40.0ms (0.1%)

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

1 calls:

30.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
Compiler

Compiled 491 to 350 computations (28.7% saved)

regimes11.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
Outputs
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
Compiler

Compiled 136 to 95 computations (30.1% saved)

regimes9.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
Compiler

Compiled 124 to 87 computations (29.8% saved)

regimes9.0ms (0%)

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

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
96.6%1f
Compiler

Compiled 25 to 18 computations (28% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
96.6%1f
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify56.0ms (0.2%)

Algorithm
egg-herbie
Rules
554×unsub-neg
424×neg-mul-1
236×distribute-lft-neg-in
176×distribute-neg-out
174×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058384
1119384
2184384
3226380
4260380
5279380
6375380
7813380
81148380
91172380
101211380
111265380
121330380
131376380
141417380
151425380
161440380
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
Outputs
(neg.f64 (*.f64 4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
(*.f64 4 (neg.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64))))))
(*.f64 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (*.f64 2 (sinh.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (sinh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))))) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 4) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(*.f64 4 (neg.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 (fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64)))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))) (neg.f64 4))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (*.f64 1/4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 1/4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Compiler

Compiled 120 to 99 computations (17.5% saved)

soundness2.0s (6.8%)

Rules
1540×times-frac
1540×times-frac
1540×times-frac
1292×fma-def
1292×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051495
11131495
01493510
14323242
216832942
057311602
114969562
271329562
01493510
14323242
216832942
044422
1927422
051495
11131495
01493510
14323242
216832942
051495
11131495
043483
1922481
043483
1922481
081541487
1211333427
051495
11131495
057311602
114969562
271329562
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 1716 to 1261 computations (26.5% saved)

end0.0ms (0%)

preprocess109.0ms (0.4%)

Compiler

Compiled 302 to 220 computations (27.2% saved)

Profiling

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