VandenBroeck and Keller, Equation (20)

Details

Time bar (total: 20.6s)

analyze1.2s (5.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample8.8s (42.5%)

Results
3.2s4120×body2048valid
2.0s4089×body1024invalid
1.1s2058×body1024valid
726.0ms1993×body512invalid
483.0ms2018×body256invalid
457.0ms1008×body512valid
411.0ms849×body256valid
296.0ms221×body4096valid
7.0ms16×body2048invalid
Bogosity

preprocess77.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020127
152121
2127117
3334109
4987109
52558109
66093109
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify74.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New617
Fresh011
Picked000
Done000
Total628
Accurracy
3.4%
Counts
8 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(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))))))))
3.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize867.0ms (4.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(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))))))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
59.0%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
47.2%
(/.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 198 to 145 computations (26.8% saved)

series90.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
45.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
36.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
1.0ms
f
@-inf
(/.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)))))

rewrite49.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
354×add-sqr-sqrt
344×pow1
344×*-un-lft-identity
338×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016220
1353220
25915220
Stop Event
unsound
Counts
4 → 100
Calls
Call 1
Inputs
(/.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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(*.f64 (/.f64 (PI.f64) 4) f)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Outputs
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify73.0ms (0.4%)

Algorithm
egg-herbie
Rules
1478×fma-def
1398×times-frac
730×distribute-rgt-in
730×distribute-lft-in
668×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01393252
14053008
216812748
Stop Event
node limit
Counts
148 → 74
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.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))))))))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.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))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.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))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.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))))))))))) (+.f64 (*.f64 1/2 (*.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))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.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))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
Outputs
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 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 2 (*.f64 (*.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 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 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (/.f64 (*.f64 -2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (*.f64 (*.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 0) (*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (/.f64 (*.f64 -2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 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))))
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-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval69.0ms (0.3%)

Compiler

Compiled 3022 to 2313 computations (23.5% saved)

prune87.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New731083
Fresh000
Picked011
Done000
Total731184
Accurracy
99.4%
Counts
84 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
45.0%
(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)))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
45.0%
(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)))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Compiler

Compiled 960 to 800 computations (16.7% saved)

localize693.0ms (3.4%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.4%
(fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))
98.4%
(fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
98.4%
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
98.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144))
Compiler

Compiled 307 to 240 computations (21.8% saved)

series83.0ms (0.4%)

Counts
8 → 44
Calls

12 calls:

TimeVariablePointExpression
52.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
17.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
7.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))
2.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))

rewrite140.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
622×add-sqr-sqrt
598×pow1
596×add-exp-log
596×*-un-lft-identity
588×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032290
1680242
Stop Event
node limit
Counts
8 → 223
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 1/192 (/.f64 (PI.f64) 1/2))
(fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))
(fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))))) 1)
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 262144)))
(/.f64 (log.f64 262144) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 262144)) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 262144) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 262144) 4) (PI.f64))
(/.f64 (*.f64 (log.f64 262144) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 262144) -4) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 262144 (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 262144 (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 262144) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 262144) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 262144) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 262144 (/.f64 4 (PI.f64))) 1))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (PI.f64) -1/4)))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (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)))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (*.f64 (log.f64 4) (log.f64 4)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (*.f64 (PI.f64) -1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) -1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -4) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3)
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(*.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) 3) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)) (+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)) (-.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(sqrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (exp.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))

simplify219.0ms (1.1%)

Algorithm
egg-herbie
Rules
1062×fma-neg
974×associate-*r*
960×associate-*l*
614×fma-def
574×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061710467
116579845
276029841
Stop Event
node limit
Counts
267 → 342
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (*.f64 16 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
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(/.f64 4 (*.f64 f (PI.f64)))
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(*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))))) 1)
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(/.f64 (*.f64 (log.f64 262144) 1) (*.f64 (PI.f64) 1/4))
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(/.f64 (*.f64 (log.f64 262144) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 262144) -4) (neg.f64 (PI.f64)))
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(pow.f64 (cbrt.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 262144 (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 262144 (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 262144) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 262144) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 262144) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
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(exp.f64 (log.f64 (*.f64 (log.f64 262144) (/.f64 4 (PI.f64)))))
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(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
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(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 4) (PI.f64))
(/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) -4) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(+.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) 1) (*.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(*.f64 1 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) 3) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)) (+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)) (-.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(sqrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (exp.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
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(log1p.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) 1) (*.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 1 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) 3) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)) (+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 3) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 f f) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 f (*.f64 (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 3) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) (fma.f64 f (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) f) (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 f))))))
(/.f64 (-.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)))) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)) (-.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))) (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (-.f64 (*.f64 f (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) f)) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 -4 (*.f64 (PI.f64) f))))
(/.f64 (-.f64 (*.f64 f (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) f)) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (fma.f64 (PI.f64) (*.f64 1/12 f) (/.f64 -4 (*.f64 (PI.f64) f))))
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 1)
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (E.f64) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 3)
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 2)
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) 2))
(fabs.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (exp.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) 3))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(exp.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))) 1))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))

eval255.0ms (1.2%)

Compiler

Compiled 8329 to 6201 computations (25.5% saved)

prune192.0ms (0.9%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New32121342
Fresh145
Picked235
Done011
Total32429353
Accurracy
99.6%
Counts
353 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(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 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))))))
45.2%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3))
43.4%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
43.9%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
45.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
45.7%
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
45.9%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
8.7%
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
45.7%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
46.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
45.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
45.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
43.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
34.5%
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) -1)))
34.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
34.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
43.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
43.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
45.6%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
44.8%
(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 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))))))
45.2%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3))
43.4%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
43.9%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
45.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
45.7%
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
45.9%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
8.7%
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
45.7%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
46.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
45.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
45.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
45.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
43.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
34.5%
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) -1)))
34.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
34.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
43.6%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
43.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
45.6%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
Compiler

Compiled 2080 to 1728 computations (16.9% saved)

localize752.0ms (3.7%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.3%
(+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))
96.6%
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))
88.6%
(log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
46.6%
(PI.f64)
99.8%
(/.f64 4 (*.f64 f (PI.f64)))
99.7%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
99.6%
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
46.6%
(PI.f64)
99.9%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.8%
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
98.6%
(log.f64 (/.f64 4 (PI.f64)))
46.6%
(PI.f64)
46.6%
(PI.f64)
99.3%
(+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))
99.3%
(*.f64 (PI.f64) 1/96)
96.0%
(exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
46.6%
(PI.f64)
Compiler

Compiled 450 to 301 computations (33.1% saved)

series57.0ms (0.3%)

Counts
15 → 68
Calls

21 calls:

TimeVariablePointExpression
17.0ms
f
@-inf
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
10.0ms
f
@inf
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
8.0ms
f
@-inf
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))
7.0ms
f
@0
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
3.0ms
f
@inf
(log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))

rewrite137.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
646×add-sqr-sqrt
634×pow1
624×*-un-lft-identity
616×add-exp-log
608×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032353
1679281
Stop Event
node limit
Counts
15 → 379
Calls
Call 1
Inputs
(PI.f64)
(exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (PI.f64) 1/96)
(+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))
(PI.f64)
(PI.f64)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(PI.f64)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(PI.f64)
(log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 1)
(*.f64 1 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2) (cbrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) 2) (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) 2)) (-.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (sqrt.f64 (log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (exp.f64 1) (log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/96))) 1)
(pow.f64 (*.f64 (PI.f64) 1/96) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/96)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/96) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/96)) 2)
(sqrt.f64 (*.f64 1/9216 (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 1/96) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/96))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/96) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/96)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/96)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/96)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/96)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (PI.f64) -1/6)) (/.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(*.f64 1 (*.f64 (PI.f64) 1/12))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (/.f64 1 (*.f64 (PI.f64) -1/6)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))))
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/6) (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (*.f64 (PI.f64) -1/6))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))) (neg.f64 (*.f64 (PI.f64) -1/6)))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(fma.f64 -4 (*.f64 (PI.f64) 1/96) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) 1/2) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
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(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(+.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))) 1)
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 2) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 1) (/.f64 4 (PI.f64)))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 4) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 1)
(*.f64 1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 (/.f64 4 (PI.f64))) (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 2) (/.f64 4 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))) (pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(exp.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (PI.f64) -1/6)) (/.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(*.f64 1 (*.f64 (PI.f64) 1/12))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (/.f64 1 (*.f64 (PI.f64) -1/6)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))))
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/6) (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (*.f64 (PI.f64) -1/6))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))) (neg.f64 (*.f64 (PI.f64) -1/6)))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(fma.f64 -4 (*.f64 (PI.f64) 1/96) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) 1/2) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))

simplify178.0ms (0.9%)

Algorithm
egg-herbie
Rules
1242×times-frac
1090×associate-/r*
620×fma-def
570×associate-/l*
456×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081619767
1220917163
Stop Event
node limit
Counts
447 → 446
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64))))) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
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(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))))
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/6) (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (*.f64 (PI.f64) -1/6))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))) (neg.f64 (*.f64 (PI.f64) -1/6)))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(fma.f64 -4 (*.f64 (PI.f64) 1/96) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) 1/2) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
Outputs
(exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64))))) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 (*.f64 f f) (*.f64 (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 1/2 (fma.f64 -1/16 (pow.f64 (PI.f64) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))) (*.f64 (pow.f64 (PI.f64) 2) 1/32))) (fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 (*.f64 f f) (*.f64 (fma.f64 1/2 (fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)) (*.f64 -1/16 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (PI.f64) 2) 1/32)) (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/32 (pow.f64 (PI.f64) 3)) (*.f64 -3/8 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64))))) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)))) (exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))))
(fma.f64 (pow.f64 f 3) (*.f64 (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 1/6 (fma.f64 1/32 (pow.f64 (PI.f64) 3) (*.f64 -3/8 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)))) (fma.f64 1/8 (*.f64 (PI.f64) (fma.f64 -1/16 (pow.f64 (PI.f64) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (*.f64 (pow.f64 (PI.f64) 3) 1/384)))) (fma.f64 (*.f64 f f) (*.f64 (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 1/2 (fma.f64 -1/16 (pow.f64 (PI.f64) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))) (*.f64 (pow.f64 (PI.f64) 2) 1/32))) (fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (exp.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
(fma.f64 (pow.f64 f 3) (*.f64 (fma.f64 1/6 (fma.f64 -3/8 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)) (*.f64 1/32 (pow.f64 (PI.f64) 3))) (fma.f64 (*.f64 1/8 (fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)) (*.f64 -1/16 (pow.f64 (PI.f64) 2)))) (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) 1/384))) (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (*.f64 f f) (*.f64 (fma.f64 1/2 (fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12)) (*.f64 -1/16 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (PI.f64) 2) 1/32)) (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 1/4 (*.f64 f (*.f64 (PI.f64) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f)))))
(*.f64 f (*.f64 (PI.f64) 1/12))
(+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (*.f64 f (*.f64 (PI.f64) 1/12))))
(fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 f f))))
(+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64)))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))) (pow.f64 f 2)) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (/.f64 (*.f64 f f) (fma.f64 1/2 (-.f64 (/.f64 8 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (/.f64 1 (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (/.f64 1/2 (pow.f64 (*.f64 (PI.f64) 1/12) 2)))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 f f)))) (/.f64 (fma.f64 1/2 (fma.f64 8 (/.f64 (/.f64 12 (PI.f64)) (PI.f64)) (/.f64 -1 (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (/.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (/.f64 (*.f64 f f) (*.f64 f (*.f64 (PI.f64) 1/12)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64)))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))) (+.f64 (*.f64 1/6 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))) (*.f64 24 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (PI.f64)))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))) (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))) (pow.f64 f 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 1 f))))) (*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (/.f64 (*.f64 f f) (fma.f64 1/2 (-.f64 (/.f64 8 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (/.f64 1 (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (/.f64 1/2 (pow.f64 (*.f64 (PI.f64) 1/12) 2))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (exp.f64 (neg.f64 (neg.f64 (log.f64 f))))) (+.f64 (/.f64 1/6 (pow.f64 (*.f64 (PI.f64) 1/12) 3)) (fma.f64 1/6 (-.f64 (/.f64 2 (pow.f64 (*.f64 (PI.f64) 1/12) 3)) (/.f64 24 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/12) 2)))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 8 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (/.f64 1 (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (*.f64 (PI.f64) 1/12)))))) (pow.f64 f 3)))))
(+.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) 1/12) f (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 (*.f64 (PI.f64) 1/12) (/.f64 f f)))) (/.f64 (fma.f64 1/2 (fma.f64 8 (/.f64 (/.f64 12 (PI.f64)) (PI.f64)) (/.f64 -1 (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (/.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (/.f64 (*.f64 f f) (*.f64 f (*.f64 (PI.f64) 1/12))))) (/.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 (PI.f64) 3) 1/1728)) (fma.f64 1/6 (-.f64 (/.f64 (/.f64 2 (pow.f64 (PI.f64) 3)) 1/1728) (/.f64 (/.f64 24 (PI.f64)) (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (*.f64 6 (/.f64 (fma.f64 8 (/.f64 (/.f64 12 (PI.f64)) (PI.f64)) (/.f64 -1 (*.f64 (pow.f64 (PI.f64) 2) 1/144))) (PI.f64))))) (/.f64 (pow.f64 f 3) (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(exp.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))))
(*.f64 (*.f64 (PI.f64) -1/12) (pow.f64 (/.f64 -1 f) -1))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
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(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 1 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 1 (/.f64 4 (PI.f64))) (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) 2) (/.f64 4 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 4 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))) (pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 2 (/.f64 4 (PI.f64))))
(pow.f64 (sqrt.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 8 (PI.f64)))
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 8 (PI.f64))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) 1))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(*.f64 (PI.f64) 1/12)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (PI.f64) -1/6)) (/.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/6)))
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) -1/96) (*.f64 (/.f64 1/64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) -1/6)))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (PI.f64) -1/96)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) -3/32))
(*.f64 (PI.f64) 1/12)
(*.f64 1 (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/12)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2))
(*.f64 (PI.f64) 1/12)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/13824 (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/576 (*.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/6912) (fma.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (/.f64 1 (*.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/13824 (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/576 (*.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/6912) (fma.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)))
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/6) (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/13824 (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/576 (*.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/6912) (fma.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)))
(/.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6)) (*.f64 (PI.f64) -1/6))
(*.f64 (PI.f64) 1/12)
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 1/512 (pow.f64 (PI.f64) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/13824 (*.f64 (pow.f64 (PI.f64) 3) 1/512))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/576 (*.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6))))))
(*.f64 1 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/6912) (fma.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) 1/6)) (*.f64 (pow.f64 (PI.f64) 2) 1/576))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/6))) (neg.f64 (*.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/13824 (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (fma.f64 1/64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 (PI.f64) -1/24))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/6912) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 5/288) (*.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) 1/24))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/64) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (*.f64 (PI.f64) 1/6))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/72) (*.f64 (PI.f64) 1/6))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(*.f64 (PI.f64) 1/12)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(*.f64 (PI.f64) 1/12)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(*.f64 (PI.f64) 1/12)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(*.f64 (PI.f64) 1/12)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(fabs.f64 (*.f64 (PI.f64) 1/12))
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(*.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)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/12)
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/12)
(fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 (PI.f64) 1/8))
(fma.f64 -4 (*.f64 (PI.f64) 1/96) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/12)
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/12)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) 1/2) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) -1/24))
(+.f64 (pow.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) 3) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/12)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)

eval619.0ms (3%)

Compiler

Compiled 27585 to 20416 computations (26% saved)

prune402.0ms (2%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New92913942
Fresh12820
Picked325
Done044
Total94427971
Accurracy
99.6%
Counts
971 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
45.9%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
8.7%
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
46.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
45.7%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
45.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
45.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
45.3%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
43.6%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
43.5%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
43.6%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
43.7%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
34.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
34.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
34.1%
(neg.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) 1) (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
43.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
45.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
45.9%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
8.7%
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
46.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
45.7%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
45.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
45.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
45.3%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
43.6%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
43.5%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
43.6%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
43.7%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
34.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
34.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
34.1%
(neg.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) 1) (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
43.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
Compiler

Compiled 1702 to 1418 computations (16.7% saved)

localize611.0ms (3%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
99.6%
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
99.5%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
46.6%
(PI.f64)
99.8%
(/.f64 (/.f64 4 f) (PI.f64))
99.8%
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
99.3%
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
46.6%
(PI.f64)
100.0%
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))
99.8%
(/.f64 (/.f64 4 f) (PI.f64))
96.4%
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
46.6%
(PI.f64)
46.6%
(PI.f64)
99.8%
(/.f64 (/.f64 4 f) (PI.f64))
99.8%
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
99.3%
(*.f64 (PI.f64) 1/12)
46.6%
(PI.f64)
Compiler

Compiled 301 to 205 computations (31.9% saved)

series143.0ms (0.7%)

Counts
11 → 120
Calls

30 calls:

TimeVariablePointExpression
79.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))
22.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))
15.0ms
f
@0
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))
7.0ms
f
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
7.0ms
f
@inf
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))

rewrite222.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
838×prod-diff
572×add-sqr-sqrt
554×pow1
550×*-un-lft-identity
544×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033283
1681283
27663283
Stop Event
node limit
Counts
11 → 442
Calls
Call 1
Inputs
(*.f64 (PI.f64) 1/12)
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))) 1)
(*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(*.f64 1 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) 4)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(pow.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (*.f64 (PI.f64) (/.f64 1/4 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
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(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
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(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 1)
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)
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(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))) 3) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 3))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6)) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3))
(/.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))

simplify329.0ms (1.6%)

Algorithm
egg-herbie
Rules
1800×fma-def
1036×log-prod
668×associate-*r*
654×associate-*l*
586×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065220474
1156818474
2542818472
Stop Event
node limit
Counts
562 → 388
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 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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(*.f64 (/.f64 2 (sqrt.f64 f)) (*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 f) (cbrt.f64 (pow.f64 (PI.f64) -2))) (/.f64 1 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 f) (pow.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) -1/2))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(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 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 1)
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 1 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)
(*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) (*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))) 3) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 3))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6)) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3))
(/.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))
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 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 1/12 f) f)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/12 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (*.f64 -1/1152 (pow.f64 (PI.f64) 3)) (pow.f64 f 4))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (*.f64 1/12 f) f) (*.f64 (*.f64 -1/1152 (pow.f64 (PI.f64) 3)) (pow.f64 f 4))))
(+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
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eval1.2s (5.7%)

Compiler

Compiled 26276 to 18630 computations (29.1% saved)

prune225.0ms (1.1%)

Pruning

27 alts after pruning (16 fresh and 11 done)

PrunedKeptTotal
New146011461
Fresh11516
Picked055
Done066
Total1461271488
Accurracy
99.6%
Counts
1488 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
45.9%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
8.7%
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
46.0%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
45.7%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
45.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
45.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
44.6%
(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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
3.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
3.4%
(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))))))))
46.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
8.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
8.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
7.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
56.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
45.3%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
43.6%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
43.5%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
45.8%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
43.6%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
43.7%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
34.5%
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
34.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
34.1%
(neg.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) 1) (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
43.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
Compiler

Compiled 1269 to 984 computations (22.5% saved)

regimes234.0ms (1.1%)

Counts
46 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) 1) (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1))))
(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 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 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))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

6 calls:

66.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
63.0ms
(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))))))
48.0ms
f
10.0ms
(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))))))))
8.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Results
AccuracySegmentsBranch
99.2%2f
99.2%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
98.8%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.8%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.8%2(/.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)))))
99.2%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 945 to 704 computations (25.5% saved)

regimes161.0ms (0.8%)

Counts
45 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) 1/12)) 1) (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(neg.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 (PI.f64) 1/8)) (/.f64 4 (*.f64 f (PI.f64)))))) 1))))
(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 -1/8 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (*.f64 (PI.f64) (pow.f64 f 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))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

3 calls:

70.0ms
f
62.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms
(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))))))))
Results
AccuracySegmentsBranch
99.0%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
99.0%2f
99.0%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 792 to 586 computations (26% saved)

regimes50.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.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 1)))
Calls

1 calls:

36.0ms
f
Results
AccuracySegmentsBranch
98.9%2f
Compiler

Compiled 415 to 311 computations (25.1% saved)

regimes67.0ms (0.3%)

Counts
31 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

1 calls:

34.0ms
f
Results
AccuracySegmentsBranch
98.9%2f
Compiler

Compiled 399 to 300 computations (24.8% saved)

regimes26.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

1 calls:

21.0ms
f
Results
AccuracySegmentsBranch
98.9%2f
Compiler

Compiled 196 to 152 computations (22.4% saved)

regimes57.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

1 calls:

55.0ms
f
Results
AccuracySegmentsBranch
98.8%2f
Compiler

Compiled 68 to 57 computations (16.2% saved)

regimes15.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 3/2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
Calls

1 calls:

13.0ms
f
Results
AccuracySegmentsBranch
61.7%2f
Compiler

Compiled 46 to 41 computations (10.9% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
8.7%1f
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
125.35941754359936
466.33231706117795
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
125.35941754359936
466.33231706117795
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch45.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
159.61256772147763
593.7527470702678
Results
43.0ms80×body1024valid
Compiler

Compiled 187 to 158 computations (15.5% saved)

bsearch53.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
52.0ms
159.61256772147763
593.7527470702678
Results
51.0ms80×body1024valid
Compiler

Compiled 222 to 193 computations (13.1% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.0760221067453162
159.61256772147763
Results
22.0ms112×body256valid
Compiler

Compiled 210 to 187 computations (11% saved)

bsearch30.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
1.0760221067453162
159.61256772147763
Results
28.0ms112×body256valid
Compiler

Compiled 210 to 187 computations (11% saved)

bsearch43.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
159.61256772147763
593.7527470702678
Results
41.0ms80×body1024valid
Compiler

Compiled 142 to 133 computations (6.3% saved)

simplify37.0ms (0.2%)

Algorithm
egg-herbie
Rules
156×neg-mul-1
96×unsub-neg
96×distribute-lft-neg-in
94×*-commutative
88×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095746
1163746
2239710
3289710
4403710
5551710
6568710
7596710
8606710
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.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 1))))
(if (<=.f64 f 225) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
Outputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (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 (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))) (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 200) (/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 225) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.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 1))))
(if (<=.f64 f 225) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (neg.f64 4) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (neg.f64 4) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 225) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 (/.f64 4 f) (PI.f64))) 1)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (-.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12)))) 1))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (*.f64 (log.f64 (-.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12)))) 1)) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (+.f64 1 (*.f64 f (*.f64 (PI.f64) 1/12)))) -1)) (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5854679515581645/4503599627370496) (/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 4)) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 4)) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 225) (neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (/.f64 (neg.f64 (*.f64 4 (log.f64 262144))) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (/.f64 (*.f64 4 (neg.f64 (log.f64 262144))) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (/.f64 (*.f64 4 (neg.f64 (log.f64 262144))) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 262144))) (PI.f64))
(/.f64 (*.f64 4 (neg.f64 (log.f64 262144))) (PI.f64))
Compiler

Compiled 237 to 193 computations (18.6% saved)

soundness1.8s (8.6%)

Rules
1478×fma-def
1478×fma-def
1478×fma-def
1398×times-frac
1398×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01393252
14053008
216812748
016220
1353220
25915220
016220
1353220
25915220
032290
1680242
01393252
14053008
216812748
032290
1680242
032353
1679281
032290
1680242
01393252
14053008
216812748
032290
1680242
032353
1679281
032290
1680242
061710467
116579845
276029841
032290
1680242
032353
1679281
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
unsound
node limit
Compiler

Compiled 2200 to 1690 computations (23.2% saved)

end179.0ms (0.9%)

Compiler

Compiled 536 to 418 computations (22% saved)

Profiling

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