VandenBroeck and Keller, Equation (20)

Details

Time bar (total: 29.8s)

analyze419.0ms (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)

sample17.1s (57.4%)

Results
7.7s7671×body8192exit
2.8s4033×body1024valid
2.2s4017×body1024invalid
1.5s7702×body256unsamplable
751.0ms1975×body512valid
709.0ms519×body2048valid
680.0ms1930×body512invalid
444.0ms1729×body256valid
196.0ms1013×body256invalid
1.0msbody2048invalid
Bogosity

preprocess72.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
152121
2127117
3334109
4987109
52558109
66093109
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify68.0ms (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
6.1%
Counts
8 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(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))))))))
6.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize571.0ms (1.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.8%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
95.9%
(/.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)))))
13.3%
(-.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)

series80.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
37.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
34.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (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)))))

rewrite74.0ms (0.2%)

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
26827100
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)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
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

simplify74.0ms (0.2%)

Algorithm
egg-herbie
Rules
1590×fma-def
1576×times-frac
846×distribute-rgt-in
846×distribute-lft-in
712×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574650
14624230
218793926
Stop Event
node limit
Counts
152 → 89
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)))))))
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(*.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)))
-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 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 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 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7)) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(-.f64 (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 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (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 (*.f64 -1/4 f)) (PI.f64)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (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))))
(fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(+.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)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (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))))
(fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.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 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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)))))
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(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 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 (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 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))))) (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

eval83.0ms (0.3%)

Compiler

Compiled 4065 to 3091 computations (24% saved)

prune51.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390
Accurracy
94.8%
Counts
90 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.7%
(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)))) 64))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27))))
93.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (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)))))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
6.1%
(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))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.7%
(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)))) 64))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27))))
93.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (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)))))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
6.1%
(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 1552 to 1252 computations (19.3% saved)

localize3.0s (10%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
98.8%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
95.9%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
13.3%
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
99.7%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.7%
(/.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))))
96.2%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.9%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27)))
96.2%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27))
100.0%
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
99.7%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.7%
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)
98.4%
(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))
Compiler

Compiled 862 to 631 computations (26.8% saved)

series271.0ms (0.9%)

Counts
20 → 192
Calls

48 calls:

TimeVariablePointExpression
74.0ms
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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
54.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
23.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
21.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
21.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))

rewrite156.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1086×add-sqr-sqrt
1052×pow1
1028×add-exp-log
1020×add-log-exp
1012×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053814
11151814
Stop Event
node limit
Counts
20 → 175
Calls
Call 1
Inputs
(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) 1/192)
(pow.f64 (PI.f64) 3)
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27))
(*.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)))) 27)))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) 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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
Outputs
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))
(*.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)))) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)
(*.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 1 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
(pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 27))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.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 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))

simplify147.0ms (0.5%)

Algorithm
egg-herbie
Rules
1270×associate-*r*
1128×associate-*l*
696×fma-def
574×times-frac
520×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064420445
1161316337
Stop Event
node limit
Counts
367 → 378
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(*.f64 1/2 (*.f64 f (PI.f64)))
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(log.f64 2/27)
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(log.f64 (*.f64 1/27 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
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(*.f64 4 (/.f64 (log.f64 (*.f64 1/27 (+.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 1/27 (+.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 1/27 (+.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)))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/4 (*.f64 f (PI.f64))))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
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(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
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(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)
(*.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 192)))
(*.f64 1 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
(pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 27))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/27)) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
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(pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
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(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
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(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))))
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(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
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(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.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 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2))) (*.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2))) (*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(*.f64 f (*.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(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))))
(cbrt.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 f 1/2) (*.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 1 (-.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 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 1/2) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (neg.f64 f) (*.f64 (PI.f64) 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/2) (*.f64 f (PI.f64))) (exp.f64 (*.f64 (neg.f64 f) (*.f64 (PI.f64) 1/2)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(cbrt.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))
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(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))) (PI.f64)))

eval323.0ms (1.1%)

Compiler

Compiled 18841 to 14102 computations (25.2% saved)

prune163.0ms (0.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New47524499
Fresh268
Picked505
Done000
Total48230512
Accurracy
95.0%
Counts
512 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
93.1%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
93.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))))
93.4%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
93.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
93.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
4.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 27))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
91.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
92.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
6.1%
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
91.8%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
5.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
91.7%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
92.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
92.7%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4))))))
5.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
93.1%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
93.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))))
93.4%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
93.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
93.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
4.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 27))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
93.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
91.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
92.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
6.1%
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
91.8%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
5.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
91.7%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
92.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
92.7%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4))))))
Compiler

Compiled 3044 to 2448 computations (19.6% saved)

localize2.1s (6.9%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
95.9%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
13.3%
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
99.7%
(*.f64 (pow.f64 f 2) (PI.f64))
99.7%
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
99.5%
(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
100.0%
(+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8))
99.7%
(*.f64 f (PI.f64))
99.5%
(/.f64 (/.f64 4 f) (PI.f64))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8))))
98.4%
(/.f64 (log.f64 2/27) (PI.f64))
98.4%
(/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))
98.4%
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
Compiler

Compiled 656 to 451 computations (31.3% saved)

series66.0ms (0.2%)

Counts
15 → 92
Calls

30 calls:

TimeVariablePointExpression
19.0ms
f
@0
(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
17.0ms
f
@-inf
(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
12.0ms
f
@inf
(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
2.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
2.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))

rewrite117.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1164×pow1
1130×add-exp-log
1120×add-log-exp
1114×log1p-expm1-u
1114×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061579
11332579
Stop Event
node limit
Counts
15 → 138
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
(fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48)))
(/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))
(/.f64 (log.f64 2/27) (PI.f64))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8))))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 f (PI.f64))
(+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 f 2) (PI.f64))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
Outputs
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 1 (pow.f64 (PI.f64) 3)))
(*.f64 1 (pow.f64 (PI.f64) -1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) -1)) (cbrt.f64 (pow.f64 (PI.f64) -1))) (cbrt.f64 (pow.f64 (PI.f64) -1)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) -1)) (sqrt.f64 (pow.f64 (PI.f64) -1)))
(pow.f64 (PI.f64) -1)
(pow.f64 (pow.f64 (PI.f64) -1) 1)
(log.f64 (exp.f64 (pow.f64 (PI.f64) -1)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1) (pow.f64 (PI.f64) -1)) (pow.f64 (PI.f64) -1)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) -1)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) -1)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))))
(*.f64 1 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))
(*.f64 -2 (/.f64 1 (*.f64 (pow.f64 (PI.f64) -1) 48)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) (cbrt.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)))) (cbrt.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(*.f64 (sqrt.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) (sqrt.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(pow.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)) 1)
(log.f64 (exp.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48)) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))) (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (pow.f64 (PI.f64) -1) 48))))
(*.f64 1 (/.f64 (log.f64 2/27) (PI.f64)))
(*.f64 (log.f64 2/27) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 2/27) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 2/27) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 2/27) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(pow.f64 (/.f64 (log.f64 2/27) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 2/27) (PI.f64)) (/.f64 (log.f64 2/27) (PI.f64))) (/.f64 (log.f64 2/27) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(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)))
(*.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(/.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/8)) 3)) (+.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (-.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) 1/8)) (*.f64 f (*.f64 (PI.f64) 1/8))) (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))
(/.f64 (-.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (*.f64 f (*.f64 (PI.f64) 1/8)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))
(pow.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))) (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(exp.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 1 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (cbrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(pow.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 1 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (cbrt.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (sqrt.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 f)) 3) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3)) (+.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 1)
(log.f64 (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(expm1.f64 (log1p.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(log1p.f64 (expm1.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) (*.f64 f f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f f))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4))))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))

simplify239.0ms (0.8%)

Algorithm
egg-herbie
Rules
1136×associate-*r*
1060×associate-*l*
770×fma-def
660×fma-neg
638×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058519030
1154515776
2723515764
Stop Event
node limit
Counts
230 → 342
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(*.f64 1/8 (*.f64 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(*.f64 1/8 (*.f64 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4))))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 1/8 (*.f64 (PI.f64) (*.f64 f f))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))) (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64)) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 f (*.f64 (PI.f64) 1/8)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 f (*.f64 (PI.f64) 1/8)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
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(cbrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (fma.f64 f (*.f64 (PI.f64) -1/4) 1)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))))

eval325.0ms (1.1%)

Compiler

Compiled 19321 to 13308 computations (31.1% saved)

prune170.0ms (0.6%)

Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New38113394
Fresh22325
Picked325
Done000
Total38638424
Accurracy
95.0%
Counts
424 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
5.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
93.1%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
93.3%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
93.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))))
92.6%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (exp.f64 (log.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
93.4%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (PI.f64) (*.f64 f f))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
93.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
93.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
4.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 27))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
1.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
93.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
91.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
92.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
1.8%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
6.1%
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
91.8%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
5.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
91.7%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
92.1%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
92.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
4.9%
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
5.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
93.1%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
93.3%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
93.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))))
92.6%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (exp.f64 (log.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
93.4%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (PI.f64) (*.f64 f f))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
93.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
93.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
93.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
4.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
93.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 27))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
1.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
93.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
91.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
92.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
93.2%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
1.8%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
6.1%
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
91.8%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
5.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
91.7%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
92.1%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
92.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 3630 to 2896 computations (20.2% saved)

localize666.0ms (2.2%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
99.7%
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
99.6%
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))))
99.5%
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))
93.3%
(log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
99.7%
(*.f64 (PI.f64) f)
99.7%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
98.3%
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
99.7%
(*.f64 f (*.f64 (PI.f64) 1/8))
99.7%
(*.f64 (PI.f64) f)
99.7%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4))
100.0%
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
99.5%
(/.f64 (/.f64 4 f) (PI.f64))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
99.7%
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
98.4%
(/.f64 (PI.f64) 48)
98.4%
(fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8))
Compiler

Compiled 554 to 350 computations (36.8% saved)

series42.0ms (0.1%)

Counts
18 → 192
Calls

48 calls:

TimeVariablePointExpression
18.0ms
f
@inf
(log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
7.0ms
f
@-inf
(log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
3.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
2.0ms
f
@0
(log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))

rewrite142.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1054×add-sqr-sqrt
1028×pow1
996×add-exp-log
982×add-log-exp
980×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055684
11190684
Stop Event
node limit
Counts
18 → 172
Calls
Call 1
Inputs
(fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8))
(/.f64 (PI.f64) 48)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(*.f64 f (*.f64 (PI.f64) 1/8))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
Outputs
(+.f64 (*.f64 -2 (*.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/8))
(*.f64 1 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8))) (cbrt.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8)))) (cbrt.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8))))
(pow.f64 (fma.f64 -2 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/8)) 1)
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(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) 1)
(log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))

simplify199.0ms (0.7%)

Algorithm
egg-herbie
Rules
968×associate-*r*
884×associate-*l*
758×unswap-sqr
598×log-prod
518×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053617960
1131216098
2552415928
Stop Event
node limit
Counts
364 → 296
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64))))))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2)))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) 1)
(log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
Outputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f (*.f64 f (PI.f64))) 1/12))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64))))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (PI.f64)))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 -1/8 (*.f64 (PI.f64) (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 2) 1/144))))))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/8 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 2))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 f 4) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (PI.f64))))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 1/48 (*.f64 (pow.f64 f 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 2))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 -1/8 (*.f64 (PI.f64) (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 2) 1/144)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2)))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (+.f64 (/.f64 16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))) (/.f64 -32 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 256/3 (/.f64 1 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4))))))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 256/3 (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))) (/.f64 32 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))) (+.f64 (/.f64 256/3 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 f 6)))) (/.f64 -32 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(+.f64 (/.f64 16 (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 4 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 16 (*.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(-.f64 (+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (*.f64 32 (/.f64 1 (*.f64 (pow.f64 f 4) (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
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(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)))) (cbrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (sqrt.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (PI.f64))))) (pow.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (PI.f64)))) 2)))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (log.f64 f)))
(/.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64))))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (/.f64 f (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))) (+.f64 (log.f64 f) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (PI.f64)))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (PI.f64))))))
(pow.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) 1)
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) f))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) f) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))

eval177.0ms (0.6%)

Compiler

Compiled 10056 to 7028 computations (30.1% saved)

prune126.0ms (0.4%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New31717334
Fresh151631
Picked325
Done022
Total33537372
Accurracy
95.0%
Counts
372 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
93.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 1/2 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
4.9%
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
5.8%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
93.3%
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
93.1%
(neg.f64 (/.f64 4 (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)) (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
93.1%
(neg.f64 (/.f64 4 (fma.f64 -1/32 (*.f64 (/.f64 (*.f64 f f) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
93.2%
(neg.f64 (/.f64 4 (fma.f64 -1/32 (*.f64 (/.f64 (*.f64 f f) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)) (-.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 f 4) (fma.f64 1/24 (/.f64 (PI.f64) (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (*.f64 (pow.f64 (PI.f64) 4) -1/128))) (/.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/1024) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))))))
1.8%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
93.1%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
93.2%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
91.9%
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (exp.f64 (log.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
93.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
93.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
93.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
91.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
91.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
93.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
4.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
93.5%
(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 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
5.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
4.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
91.8%
(neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))))
92.9%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))))
6.1%
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
1.8%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
69.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
91.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
5.8%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
92.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 2604 to 1922 computations (26.2% saved)

regimes118.0ms (0.4%)

Counts
68 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 1/2 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (PI.f64) (*.f64 f f))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) 27))))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8))))))))
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 27))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 -2 (/.f64 (PI.f64) 48) (*.f64 (PI.f64) 1/8)) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (exp.f64 (log.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
(neg.f64 (/.f64 4 (fma.f64 -1/32 (*.f64 (/.f64 (*.f64 f f) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.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)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (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 (fma.f64 f (fma.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 f (PI.f64)) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (*.f64 (PI.f64) 1/4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 4 (fma.f64 -1/32 (/.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)) (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 0) (*.f64 f (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)))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 f (*.f64 (PI.f64) -1/4)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(neg.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (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)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))))))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f)))))))
(neg.f64 (/.f64 4 (fma.f64 -1/32 (*.f64 (/.f64 (*.f64 f f) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)) (-.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 f 4) (fma.f64 1/24 (/.f64 (PI.f64) (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (*.f64 (pow.f64 (PI.f64) 4) -1/128))) (/.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/1024) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 1/2 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

29.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
28.0ms
f
8.0ms
(*.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)))))))
8.0ms
(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))))))
7.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
93.6%1f
93.6%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))))))))
93.6%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)))))))
93.6%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))))))
93.6%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)))))
93.6%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1784 to 1285 computations (28% saved)

regimes22.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 (*.f64 (PI.f64) 1/8) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

12.0ms
f
Results
AccuracySegmentsBranch
93.3%1f
Compiler

Compiled 385 to 284 computations (26.2% saved)

regimes15.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
Calls

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
93.2%1f
Compiler

Compiled 214 to 160 computations (25.2% saved)

regimes12.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 2/27 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 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:

8.0ms
f
Results
AccuracySegmentsBranch
93.2%1f
Compiler

Compiled 168 to 125 computations (25.6% saved)

regimes10.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
93.1%1f
Compiler

Compiled 130 to 98 computations (24.6% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
93.1%1f
Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.8%1f
Compiler

Compiled 21 to 17 computations (19% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
Calls

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify25.0ms (0.1%)

Algorithm
egg-herbie
Rules
576×unsub-neg
396×neg-mul-1
192×distribute-neg-out
146×distribute-lft-neg-in
132×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062338
1119338
2184338
3232330
4274330
5296330
6401330
7871330
81232330
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 1/2 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 1/2 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 f (*.f64 (PI.f64) 1/8)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 f (*.f64 (PI.f64) 1/8))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64)))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8)))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/8))) (PI.f64)) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/27) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 2/27) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 2/27)) (PI.f64)))
Compiler

Compiled 107 to 89 computations (16.8% saved)

soundness2.5s (8.4%)

Rules
1590×fma-def
1590×fma-def
1590×fma-def
1590×fma-def
1576×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574650
14624230
218793926
061579
11332579
058519030
1154515776
2723515764
055684
11190684
053617960
1131216098
2552415928
019100
1412100
26827100
01574650
14624230
218793926
064420445
1161316337
061579
11332579
053617960
1131216098
2552415928
058519030
1154515776
2723515764
01574650
14624230
218793926
064420445
1161316337
053617960
1131216098
2552415928
01574650
14624230
218793926
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2112 to 1614 computations (23.6% saved)

end112.0ms (0.4%)

Compiler

Compiled 276 to 206 computations (25.4% saved)

Profiling

Loading profile data...