VandenBroeck and Keller, Equation (20)

Details

Time bar (total: 34.9s)

analyze416.0ms (1.2%)

Algorithm
1×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)

sample17.5s (50.1%)

Results
8.3s7557×body8192exit
2.6s4072×body1024valid
2.2s3952×body1024invalid
1.4s7660×body256unsamplable
882.0ms2058×body512valid
828.0ms2042×body512invalid
603.0ms497×body2048valid
450.0ms1629×body256valid
185.0ms954×body256invalid
2.0ms3×body2048invalid
Bogosity

preprocess70.0ms (0.2%)

Algorithm
2×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
1×saturated
1×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)

simplify69.0ms (0.2%)

Algorithm
1×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
1×node limit
Counts
1 → 7
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
6.5%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.4s (3.9%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
✓99.6%
(pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))
✓99.4%
(*.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)))
✓8.4%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
✓99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
✓99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
✓99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓8.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 345 to 240 computations (30.4% saved)

series161.0ms (0.5%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
35.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
32.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
30.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
22.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
19.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))

rewrite61.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify152.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1688×fma-def
1584×times-frac
784×distribute-lft-in
782×distribute-rgt-in
562×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01937220
15496676
220296072
Stop Event
1×node limit
Counts
384 → 123
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))))))
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(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (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 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
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(/.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 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.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 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.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 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.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 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.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 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (*.f64 -1/4 f) (PI.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))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

eval223.0ms (0.6%)

Compiler

Compiled 6046 to 4452 computations (26.4% saved)

prune39.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1408148
Fresh000
Picked202
Done000
Total1428150
Accurracy
99.4%
Counts
150 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0) (PI.f64)) (*.f64 f f) 0)))
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶98.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶98.6%
(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)))) (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)))))))))
98.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.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))))
▶98.6%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0) (PI.f64)) (*.f64 f f) 0)))
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶98.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶98.6%
(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)))) (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)))))))))
98.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.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))))
Compiler

Compiled 920 to 728 computations (20.9% saved)

localize1.4s (4.1%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
✓98.4%
(fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2))
✓98.4%
(fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0)
✓96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
✓98.4%
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
✓98.4%
(fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2))
✓100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓100.0%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
✓98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
✓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)))) (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))))))))
✓98.4%
(pow.f64 (PI.f64) 5)
✓98.4%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 872 to 662 computations (24.1% saved)

series179.0ms (0.5%)

Counts
17 → 108
Calls

27 calls:

TimeVariablePointExpression
86.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
31.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
18.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
16.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
7.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite143.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1064×pow1
1044×add-exp-log
1032×add-log-exp
1028×log1p-expm1-u
1028×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056663
11198663
Stop Event
1×node limit
Counts
17 → 148
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 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)))) (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))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (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)))) 262144)))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2))
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 4 (PI.f64)))
(fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0)
(fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2))
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
Outputs
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(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 1 (pow.f64 (PI.f64) 5))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (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)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(*.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 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(/.f64 (*.f64 1/192 (PI.f64)) 1/2)
(pow.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/192 (*.f64 (PI.f64) 2))) (*.f64 1/192 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.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 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) 0)
(*.f64 1 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(pow.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(/.f64 (*.f64 1/192 (PI.f64)) 1/2)
(pow.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/192 (*.f64 (PI.f64) 2))) (*.f64 1/192 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))

simplify237.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1114×associate-*r*
1012×associate-*l*
766×fma-def
540×*-commutative
540×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063015652
1161213150
2692213066
Stop Event
1×node limit
Counts
256 → 339
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64))))) (PI.f64)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3))))) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64))))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (PI.f64)))
(-.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (PI.f64))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (PI.f64))) (+.f64 (*.f64 1/180 (/.f64 (-.f64 (+.f64 (*.f64 -15/4 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 4 (PI.f64)))))
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(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
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(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
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(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
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(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
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(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
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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)))))
(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 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(/.f64 (*.f64 1/192 (PI.f64)) 1/2)
(pow.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/192 (*.f64 (PI.f64) 2))) (*.f64 1/192 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.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 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) 0)
(*.f64 1 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(pow.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) 1)
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) 1)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(/.f64 (*.f64 1/192 (PI.f64)) 1/2)
(pow.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/192 (*.f64 (PI.f64) 2))) (*.f64 1/192 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
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 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 f (/.f64 (PI.f64) 0)))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (/.f64 f (/.f64 (PI.f64) 0)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64))))) (PI.f64)))))
(fma.f64 2 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 f (/.f64 (PI.f64) 0))) (*.f64 2 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0) (/.f64 (PI.f64) (*.f64 f f)))))
(+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (fma.f64 2 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0) (/.f64 (PI.f64) (*.f64 f f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
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(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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)))))) 1)
(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
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(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
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(cbrt.f64 (*.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))
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(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))))
(/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 2 (/.f64 (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)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4)
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 4 (/.f64 (fma.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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (fma.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)))
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(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
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(*.f64 4 (/.f64 (fma.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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (fma.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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(*.f64 4 (/.f64 (fma.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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 4 (*.f64 f (PI.f64)))
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(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144)))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1/262144))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))
(*.f64 1 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(exp.f64 (*.f64 (*.f64 -1/4 f) (PI.f64)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(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)))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) 0)
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(*.f64 1 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0))) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(pow.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) 1)
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)))) (*.f64 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)))) (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) 0)))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))))
(*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)))) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) 1)
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(cbrt.f64 (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)) (*.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)) (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 2) -2))))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) -4))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(/.f64 (*.f64 1/192 (PI.f64)) 1/2)
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)
(pow.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1)
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)
(log.f64 (exp.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/192 (*.f64 (PI.f64) 2))) (*.f64 1/192 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) (*.f64 1/36864 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/96) 3))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 (PI.f64) 2))))
(/.f64 1/192 (/.f64 1/2 (PI.f64)))
(*.f64 (PI.f64) 1/96)

eval449.0ms (1.3%)

Compiler

Compiled 20330 to 14919 computations (26.6% saved)

prune139.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New42116437
Fresh123
Picked505
Done000
Total42718445
Accurracy
99.6%
Counts
445 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
98.6%
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
▶98.6%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
98.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
98.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
▶98.7%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
97.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
98.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
96.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
▶98.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)))
97.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
97.5%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
98.2%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (*.f64 (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))))))
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
98.6%
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
▶98.6%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
98.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
98.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
▶98.7%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
97.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
98.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
96.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
▶98.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)))
97.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
97.5%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
98.2%
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (*.f64 (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))))))
Compiler

Compiled 1916 to 1500 computations (21.7% saved)

localize792.0ms (2.3%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3))
✓98.9%
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)
✓98.4%
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
✓98.4%
(*.f64 (PI.f64) 1/96)
✓99.7%
(*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))
✓99.6%
(*.f64 1/12 (*.f64 f f))
✓99.5%
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
✓99.4%
(/.f64 (/.f64 4 f) (PI.f64))
✓99.6%
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
✓99.4%
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
✓98.4%
(log.f64 (*.f64 (PI.f64) 1/12))
✓98.4%
(*.f64 (PI.f64) 1/12)
✓98.4%
(/.f64 (log.f64 1/131072) (PI.f64))
✓99.6%
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))
✓99.5%
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4))
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 554 to 396 computations (28.5% saved)

series86.0ms (0.2%)

Counts
15 → 120
Calls

30 calls:

TimeVariablePointExpression
28.0ms
f
@0
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
16.0ms
f
@-inf
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
7.0ms
f
@inf
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
6.0ms
f
@inf
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)
5.0ms
f
@-inf
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4))

rewrite129.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1166×pow1
1136×add-exp-log
1124×log1p-expm1-u
1124×expm1-log1p-u
1122×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060547
11277547
Stop Event
1×node limit
Counts
15 → 137
Calls
Call 1
Inputs
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))
(/.f64 (log.f64 1/131072) (PI.f64))
(*.f64 (PI.f64) 1/12)
(log.f64 (*.f64 (PI.f64) 1/12))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(*.f64 1/12 (*.f64 f f))
(*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))
(*.f64 (PI.f64) 1/96)
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3))
Outputs
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (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)))))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (*.f64 4 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))

simplify162.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1460×associate-*l*
1094×fma-def
704×associate-/r*
576×distribute-rgt-in
574×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081720311
1231817487
Stop Event
1×node limit
Counts
257 → 334
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 4) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (*.f64 12 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (*.f64 1/96 (*.f64 (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))) (pow.f64 (PI.f64) 2))) (*.f64 1/15360 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/1280 (/.f64 (*.f64 (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 -1/1280 (/.f64 (*.f64 (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))) (*.f64 1/180 (/.f64 (-.f64 (+.f64 (*.f64 -15/2 (/.f64 (*.f64 (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -3/128 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (+.f64 (*.f64 -301989888000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 -320 (/.f64 (+.f64 (*.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(-.f64 (+.f64 (*.f64 1/180 (/.f64 (-.f64 (+.f64 (*.f64 3/128 (/.f64 (*.f64 (+.f64 (*.f64 301989888000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (*.f64 -320 (/.f64 (+.f64 (*.f64 -943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 15/2 (/.f64 (*.f64 (+.f64 (*.f64 -943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (*.f64 (pow.f64 f 6) (PI.f64)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 1/1280 (/.f64 (*.f64 (+.f64 (*.f64 -943718400 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 3145728000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))))) (*.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(/.f64 4 (*.f64 f (PI.f64)))
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(+.f64 (*.f64 2 (*.f64 f (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))
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(*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))))
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(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (*.f64 1/12 (*.f64 f f)) 1)
(log.f64 (exp.f64 (*.f64 1/12 (*.f64 f f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 1/12 (*.f64 f f)) (*.f64 1/12 (*.f64 f f))) (*.f64 1/12 (*.f64 f f))))
(expm1.f64 (log1p.f64 (*.f64 1/12 (*.f64 f f))))
(exp.f64 (log.f64 (*.f64 1/12 (*.f64 f f))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (*.f64 f f))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(pow.f64 (*.f64 (PI.f64) 1/96) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/96)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/96) (*.f64 (PI.f64) 1/96)) (*.f64 (PI.f64) 1/96)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/96)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/96)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/96)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))
(*.f64 1 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))) (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 1 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3))
(*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)) (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3/2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (*.f64 4 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 2 (*.f64 f (*.f64 (PI.f64) (*.f64 1/24 f)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/16 (PI.f64)) (*.f64 1/48 (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(fma.f64 2 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/24)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(fma.f64 2 (*.f64 f (*.f64 (PI.f64) (*.f64 1/24 f))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 3) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
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(cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192)))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))) (PI.f64)))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (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)))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))) 1)
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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)))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192))))) (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192))))) (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 (pow.f64 f 3) 1/192))))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3)))))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (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))))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (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 (pow.f64 f 3) 1/192)))))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (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 1/192 (pow.f64 (PI.f64) 3))))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(*.f64 1 (/.f64 (log.f64 1/131072) (PI.f64)))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(pow.f64 (/.f64 (log.f64 1/131072) (PI.f64)) 1)
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(log.f64 (exp.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 (log.f64 1/131072) (PI.f64))) (/.f64 (log.f64 1/131072) (PI.f64))))
(cbrt.f64 (*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 (log.f64 1/131072) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/131072) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 1/131072) (PI.f64))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(*.f64 (PI.f64) 1/12)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(+.f64 (log.f64 (PI.f64)) (log.f64 1/12))
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(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)) (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3/2))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 6)))
(cbrt.f64 (pow.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) 3))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))))

eval348.0ms (1%)

Compiler

Compiled 19013 to 14186 computations (25.4% saved)

prune111.0ms (0.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New35714371
Fresh4913
Picked235
Done000
Total36326389
Accurracy
99.7%
Counts
389 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
98.6%
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
✓98.6%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.2%
(neg.f64 (fma.f64 4 (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
98.2%
(neg.f64 (fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.1%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3))
98.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
▶98.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
▶98.7%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 f (*.f64 (PI.f64) 1/24)) (+.f64 (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 2 (*.f64 (pow.f64 f 3) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/15360)))))))) (*.f64 (PI.f64) 1/4)))
✓98.7%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
98.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
✓1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
0.1%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
0.8%
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
▶96.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
98.2%
(neg.f64 (cbrt.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))))
97.5%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))))
97.6%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))))
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
98.6%
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
✓98.6%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.2%
(neg.f64 (fma.f64 4 (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
98.2%
(neg.f64 (fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.1%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3))
98.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
▶98.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
▶98.7%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 f (*.f64 (PI.f64) 1/24)) (+.f64 (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 2 (*.f64 (pow.f64 f 3) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/15360)))))))) (*.f64 (PI.f64) 1/4)))
✓98.7%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
98.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
✓1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
0.1%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
0.8%
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
▶96.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
98.2%
(neg.f64 (cbrt.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))))
97.5%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))))
97.6%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))))
Compiler

Compiled 2372 to 1858 computations (21.7% saved)

localize6.9s (19.8%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
✓99.6%
(*.f64 (*.f64 1/4 f) (PI.f64))
✓99.5%
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
✓98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓99.6%
(/.f64 4 (*.f64 f (PI.f64)))
✓99.5%
(*.f64 (PI.f64) (*.f64 1/24 f))
✓99.5%
(/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
✓99.4%
(*.f64 1/24 f)
✓99.6%
(/.f64 4 (*.f64 f (PI.f64)))
✓99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
✓99.2%
(PI.f64)
✓98.3%
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
✓100.0%
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
✓99.4%
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))
✓98.9%
(*.f64 f (*.f64 (PI.f64) 1/12))
98.4%
(*.f64 (PI.f64) 1/12)
✓3.1%
(PI.f64)
Compiler

Compiled 1433 to 1051 computations (26.7% saved)

series41.0ms (0.1%)

Counts
15 → 120
Calls

39 calls:

TimeVariablePointExpression
13.0ms
f
@-inf
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))
8.0ms
f
@0
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))
6.0ms
f
@inf
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))
2.0ms
f
@0
(*.f64 1/24 f)
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))

rewrite134.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
910×add-sqr-sqrt
886×pow1
880×*-un-lft-identity
864×add-exp-log
858×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048377
11009377
Stop Event
1×node limit
Counts
15 → 124
Calls
Call 1
Inputs
(PI.f64)
(*.f64 f (*.f64 (PI.f64) 1/12))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(PI.f64)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 1/24 f)
(/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 (PI.f64) (*.f64 1/24 f))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(*.f64 (*.f64 1/4 f) (PI.f64))
Outputs
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) 1/12) (*.f64 (*.f64 (PI.f64) f) 1/12)) (*.f64 (*.f64 (PI.f64) f) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))
(*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64)) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 1 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))) (cbrt.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(pow.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)) (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))) (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12))))
(-.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (*.f64 f 1/24) 1)
(log.f64 (exp.f64 (*.f64 f 1/24)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f 1/24) (*.f64 f 1/24)) (*.f64 f 1/24)))
(expm1.f64 (log1p.f64 (*.f64 f 1/24)))
(exp.f64 (log.f64 (*.f64 f 1/24)))
(log1p.f64 (expm1.f64 (*.f64 f 1/24)))
(*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) (cbrt.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) (cbrt.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(pow.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (*.f64 (PI.f64) 1/24) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/24) f) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/24) f)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/24) f) (*.f64 (*.f64 (PI.f64) 1/24) f)) (*.f64 (*.f64 (PI.f64) 1/24) f)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/24) f)))
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(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/24) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(pow.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) (*.f64 f 1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))

simplify123.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
822×associate-*r*
800×associate-*l*
688×unswap-sqr
650×log-prod
598×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04048348
19677652
246707588
Stop Event
1×node limit
Counts
244 → 220
Calls
Call 1
Inputs
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 1/12 (*.f64 f (PI.f64)))
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(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(pow.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 1)
(log.f64 (exp.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) (*.f64 f 1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
Outputs
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(*.f64 1/12 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/12 f) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (*.f64 1/12 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
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(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))
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(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))
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(log.f64 (*.f64 1/12 (*.f64 f (PI.f64))))
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(log.f64 (*.f64 1/12 (*.f64 f (PI.f64))))
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(log.f64 (*.f64 1/12 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 1/12 (*.f64 f (PI.f64))))
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(-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))
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(-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))
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(-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))
(*.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.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)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.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 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 f))) 1/262144)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)) (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) 1/262144)) (PI.f64)))
(pow.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) 1)
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(cbrt.f64 (*.f64 (*.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))) (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(exp.f64 (log.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 f (*.f64 (PI.f64) 1/4))

eval553.0ms (1.6%)

Compiler

Compiled 27229 to 19945 computations (26.8% saved)

prune146.0ms (0.4%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New5157522
Fresh81018
Picked145
Done033
Total52424548
Accurracy
99.7%
Counts
548 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
6.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓98.6%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
97.5%
(neg.f64 (fma.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
98.6%
(neg.f64 (fma.f64 1/12 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
98.0%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
98.2%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))) 1/4)))
✓98.6%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
✓98.7%
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 f (*.f64 (PI.f64) 1/24)) (+.f64 (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 2 (*.f64 (pow.f64 f 3) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/15360)))))))) (*.f64 (PI.f64) 1/4)))
✓98.7%
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
5.5%
(neg.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8388608 (pow.f64 (PI.f64) 2))) (*.f64 -2 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 f (pow.f64 (PI.f64) 2))))))
1.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 1/8388608) (log.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))))
98.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
✓1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
0.1%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
✓96.8%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.8%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
97.5%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
98.2%
(neg.f64 (cbrt.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))))
97.5%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))))
Compiler

Compiled 1741 to 1296 computations (25.6% saved)

regimes88.0ms (0.3%)

Counts
47 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 1/8388608) (log.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))))
(neg.f64 (fma.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))) (*.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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8388608 (pow.f64 (PI.f64) 2))) (*.f64 -2 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 f (pow.f64 (PI.f64) 2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3))
(neg.f64 (fma.f64 1/12 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))))
(neg.f64 (fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0) (PI.f64)) (*.f64 f f) 0)))
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
(*.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)))
(neg.f64 (fma.f64 4 (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f 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 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)))))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 f (*.f64 (PI.f64) 1/24)) (+.f64 (fma.f64 -2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 2 (*.f64 (pow.f64 f 3) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/15360)))))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (*.f64 (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (/.f64 (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 (pow.f64 f 3) 1/192)))) (cosh.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

20.0ms
f
19.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
98.7%1f
98.7%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
98.7%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
98.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1354 to 984 computations (27.3% saved)

regimes72.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 1/8388608) (log.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) 3))))
(neg.f64 (fma.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))) (*.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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8388608 (pow.f64 (PI.f64) 2))) (*.f64 -2 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 32 (/.f64 1 (*.f64 f (pow.f64 (PI.f64) 2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))) 3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 (PI.f64) f))))) 3) 1/3))
(neg.f64 (fma.f64 1/12 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))))
(neg.f64 (fma.f64 4 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (pow.f64 f 4) -1/8)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (*.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2)) 1/2) 0) (PI.f64)) (*.f64 f f) 0)))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

17.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
17.0ms
f
6.0ms
(*.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)))))))
5.0ms
(/.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)))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
98.6%1f
98.6%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))))))))
98.6%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)))))))
98.6%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))))))
98.6%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)))))
98.6%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 985 to 712 computations (27.7% saved)

regimes14.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 1/8388608) (log.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
Calls

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
98.5%1f
Compiler

Compiled 216 to 160 computations (25.9% saved)

regimes13.0ms (0%)

Counts
15 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) f) 1/12)))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
Outputs
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
Calls

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
98.0%1f
Compiler

Compiled 184 to 137 computations (25.5% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
97.9%1f
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify13.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068369
1120369
2170369
3199369
4212369
5214369
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.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) 1/12))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (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))))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 1/24 f)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 2 (*.f64 (PI.f64) (*.f64 f 1/24)) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.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)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))
Compiler

Compiled 119 to 97 computations (18.5% saved)

soundness2.4s (6.9%)

Rules
1688×fma-def
1688×fma-def
1688×fma-def
1584×times-frac
1584×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01937220
15496676
220296072
056663
11198663
032200
1702200
01937220
15496676
220296072
063015652
1161213150
2692213066
081720311
1231817487
063015652
1161213150
2692213066
01937220
15496676
220296072
056663
11198663
063015652
1161213150
2692213066
056663
11198663
063015652
1161213150
2692213066
060547
11277547
081720311
1231817487
081720311
1231817487
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2128 to 1625 computations (23.6% saved)

end102.0ms (0.3%)

Compiler

Compiled 302 to 230 computations (23.8% saved)

Profiling

Loading profile data...