VandenBroeck and Keller, Equation (20)

Details

Time bar (total: 32.9s)

analyze426.0ms (1.3%)

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

Compiled 39 to 31 computations (20.5% saved)

sample19.1s (58%)

Results
8.9s7928×body8192exit
2.7s4021×body1024invalid
2.7s3905×body1024valid
1.6s7875×body256unsamplable
1.1s2069×body512valid
777.0ms1969×body512invalid
774.0ms560×body2048valid
401.0ms1722×body256valid
245.0ms1025×body256invalid
2.0msbody2048invalid
Bogosity

preprocess77.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 39 to 31 computations (20.5% saved)

simplify70.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
7.4%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
7.4%
(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 71 to 54 computations (23.9% saved)

localize544.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.0%
(/.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)))))
11.1%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series73.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
34.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
30.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
3.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))

rewrite45.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify61.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01493510
14323242
216832942
Stop Event
node limit
Counts
152 → 80
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64)))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192)))
(fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 f 5) 1/61440))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) 1/41287680))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 1/4 f))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

localize913.0ms (2.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
99.4%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
98.0%
(/.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)))))
11.1%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
Compiler

Compiled 147 to 95 computations (35.4% saved)

series112.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
29.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
23.0ms
f
@0
(*.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)))
22.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
19.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
12.0ms
f
@inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))

rewrite164.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1330×prod-diff
716×expm1-udef
710×log1p-udef
450×add-sqr-sqrt
442×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021338
1455338
26119338
Stop Event
node limit
Counts
4 → 243
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))))
Outputs
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (*.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 -1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 -1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 f) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 f) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (cbrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) 1)
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1))

simplify355.0ms (1.1%)

Algorithm
egg-herbie
Rules
316×+-commutative
170×*-commutative
156×fma-udef
122×sqr-pow
56×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066525367
1206425367
Stop Event
unsound
Counts
291 → 400
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) 1)
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) -1/2) 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)))))
(fma.f64 (*.f64 (PI.f64) -1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -1/2) f (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) 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)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -1/2)) (+.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f) (*.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -1/2)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -1/2)) (+.f64 (/.f64 (/.f64 2 (*.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 -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)) (fma.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) -1/2)) -1) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) -1/2)) -1) (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))) (+.f64 (/.f64 (/.f64 2 (*.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 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 3) -1) (+.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2) (*.f64 -1 (log.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(/.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2) (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 1)
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 3)
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) 1/3)
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 2)
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(neg.f64 (-.f64 -1 (log.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2))
(sqrt.f64 (pow.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) 1))
(log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1))
(log1p.f64 (+.f64 -1 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))

eval759.0ms (2.3%)

Compiler

Compiled 25756 to 17408 computations (32.4% saved)

prune200.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New47712489
Fresh000
Picked101
Done101
Total47912491
Accurracy
99.3%
Counts
491 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(*.f64 (log.f64 (pow.f64 -1 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (/.f64 -4 (PI.f64)))
0.0%
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
7.4%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
97.4%
(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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
7.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
Compiler

Compiled 660 to 526 computations (20.3% saved)

localize574.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 377 to 282 computations (25.2% saved)

series0.0ms (0%)

Counts
4 → 0

rewrite118.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
970×cbrt-prod
940×log-prod
748×exp-prod
516×pow-prod-up
506×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
126042
2273742
Stop Event
node limit
Counts
4 → 102
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 7)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
Outputs
(+.f64 0 (pow.f64 (PI.f64) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 7)) 1)
(*.f64 (pow.f64 (PI.f64) 7) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (PI.f64) 6) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 14) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) (cbrt.f64 (pow.f64 (PI.f64) 14)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 35/2)) (cbrt.f64 (pow.f64 (PI.f64) 7/2)))
(sqrt.f64 (pow.f64 (PI.f64) 14))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(cbrt.f64 (pow.f64 (PI.f64) 21))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 21)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 7/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 7/2) 2))
(exp.f64 (+.f64 (*.f64 6 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(+.f64 0 (pow.f64 (PI.f64) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (PI.f64) 5/2) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1)) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (cbrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (pow.f64 (PI.f64) 9))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 0 (pow.f64 (PI.f64) 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 5)) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 10) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) (cbrt.f64 (pow.f64 (PI.f64) 10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 25/2)) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (pow.f64 (PI.f64) 15))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 15)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 5/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 5/2) 2))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (*.f64 3 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 3 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))) (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(sqrt.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))

simplify149.0ms (0.5%)

Algorithm
egg-herbie
Rules
1144×prod-exp
1098×associate-*r*
1012×associate-*l*
980×fma-neg
958×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02711870
15411712
212571676
353201622
Stop Event
node limit
Counts
102 → 133
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 (PI.f64) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 7)) 1)
(*.f64 (pow.f64 (PI.f64) 7) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (PI.f64) 6) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 14) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) (cbrt.f64 (pow.f64 (PI.f64) 14)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 35/2)) (cbrt.f64 (pow.f64 (PI.f64) 7/2)))
(sqrt.f64 (pow.f64 (PI.f64) 14))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(cbrt.f64 (pow.f64 (PI.f64) 21))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 21)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 7/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 7/2) 2))
(exp.f64 (+.f64 (*.f64 6 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(+.f64 0 (pow.f64 (PI.f64) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (PI.f64) 5/2) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1)) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (cbrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (pow.f64 (PI.f64) 9))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 0 (pow.f64 (PI.f64) 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 5)) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 10) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) (cbrt.f64 (pow.f64 (PI.f64) 10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 25/2)) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (pow.f64 (PI.f64) 15))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 15)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 5/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 5/2) 2))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (*.f64 3 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 3 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))) (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(sqrt.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
Outputs
(+.f64 0 (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 7)))))
(pow.f64 (PI.f64) 7)
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 7)) 1)
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 7) 1)
(pow.f64 (PI.f64) 7)
(*.f64 1 (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (pow.f64 (PI.f64) 6) (PI.f64))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 14) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 14))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) 3)
(pow.f64 (cbrt.f64 (PI.f64)) 21)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 21))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 21/2)) (cbrt.f64 (pow.f64 (PI.f64) 21/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 14) (cbrt.f64 (pow.f64 (PI.f64) 14)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 35/2)) (cbrt.f64 (pow.f64 (PI.f64) 7/2)))
(sqrt.f64 (pow.f64 (PI.f64) 14))
(pow.f64 (PI.f64) 7)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(cbrt.f64 (pow.f64 (PI.f64) 21))
(pow.f64 (PI.f64) 7)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 7)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7)) 3))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 14))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) 3)
(pow.f64 (cbrt.f64 (PI.f64)) 21)
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 21)) 1/3))
(pow.f64 (PI.f64) 7)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 7/2))
(pow.f64 (PI.f64) 7)
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 7/2) 2))
(pow.f64 (PI.f64) 7)
(exp.f64 (+.f64 (*.f64 6 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 7)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
(+.f64 0 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))
(pow.f64 (PI.f64) 3)
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 8))
(pow.f64 (cbrt.f64 (PI.f64)) 9)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 8))
(pow.f64 (cbrt.f64 (PI.f64)) 9)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 5/2) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 9))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 9/2)) (cbrt.f64 (pow.f64 (PI.f64) 9/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1)) (PI.f64))
(*.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 6)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 8)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (PI.f64) 9))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 9)) 1/3))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 3/2))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3/2) 2))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 0 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))
(pow.f64 (PI.f64) 5)
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 5)) 1)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 10) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (pow.f64 (cbrt.f64 (PI.f64)) 10))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) 3)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2) 6)
(pow.f64 (cbrt.f64 (PI.f64)) 15)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))) (cbrt.f64 (sqrt.f64 (pow.f64 (PI.f64) 15))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (PI.f64) 15/2))) (cbrt.f64 (fabs.f64 (pow.f64 (PI.f64) 15/2))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 15/2)) (cbrt.f64 (pow.f64 (PI.f64) 15/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) 1)) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 10) (cbrt.f64 (pow.f64 (PI.f64) 10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 25/2)) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(pow.f64 (PI.f64) 5)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (PI.f64) 15))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) 3))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) (pow.f64 (cbrt.f64 (PI.f64)) 10))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5) 3)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2) 6)
(pow.f64 (cbrt.f64 (PI.f64)) 15)
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 15)) 1/3))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (PI.f64))) 5/2))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 5/2) 2))
(pow.f64 (PI.f64) 5)
(exp.f64 (+.f64 (*.f64 2 (log.f64 (PI.f64))) (*.f64 3 (log.f64 (PI.f64)))))
(pow.f64 (PI.f64) 5)
(exp.f64 (+.f64 (*.f64 3 (log.f64 (PI.f64))) (*.f64 2 (log.f64 (PI.f64)))))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(pow.f64 (E.f64) (fma.f64 (log.f64 (PI.f64)) 3 (log.f64 1/192)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (PI.f64)) 3 (log.f64 1/192))) 2)) (cbrt.f64 (fma.f64 (log.f64 (PI.f64)) 3 (log.f64 1/192))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))) (sqrt.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (log.f64 (PI.f64)) 3 (log.f64 1/192)))) (sqrt.f64 (fma.f64 (log.f64 (PI.f64)) 3 (log.f64 1/192))))
(sqrt.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (fma.f64 3 (log.f64 (PI.f64)) (log.f64 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 9)) 1/3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2))) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)

localize71.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
3.1%
(PI.f64)
Compiler

Compiled 45 to 34 computations (24.4% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite98.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
884×expm1-udef
602×associate-*r*
568×pow1
548×add-sqr-sqrt
538×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1603
27043
375633
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(PI.f64)
Outputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.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)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.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 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))

simplify55.0ms (0.2%)

Algorithm
egg-herbie
Rules
992×fma-def
680×associate-+l-
600×associate-+r-
592×times-frac
546×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0126569
1282537
2892525
33935497
Stop Event
node limit
Counts
47 → 64
Calls
Call 1
Inputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.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)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.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 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
Outputs
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 5))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(PI.f64)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)

localize139.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 44 to 29 computations (34.1% saved)

series188.0ms (0.6%)

Counts
3 → 20
Calls

6 calls:

TimeVariablePointExpression
129.0ms
f
@-inf
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
33.0ms
f
@inf
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
25.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms
f
@0
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms
f
@-inf
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite126.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1202×log-prod
816×prod-diff
808×pow-prod-down
594×pow-prod-up
546×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01265
125365
2333865
Stop Event
node limit
Counts
3 → 224
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (neg.f64 (PI.f64)))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 4))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 (log.f64 4) (log.f64 (neg.f64 (neg.f64 (PI.f64)))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (log.f64 (cbrt.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (sqrt.f64 (PI.f64)))) (log.f64 (sqrt.f64 (PI.f64))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(*.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 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 4) 2) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (log.f64 (*.f64 4 (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))) 2) 1/2)
(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)))
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64))))) 2))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(+.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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (neg.f64 (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

simplify192.0ms (0.6%)

Algorithm
egg-herbie
Rules
1864×fma-neg
1202×div-sub
718×log-prod
414×times-frac
398×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05449582
112678790
249198608
Stop Event
node limit
Counts
244 → 301
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 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))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
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(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
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(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (neg.f64 (PI.f64)))))
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(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
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(-.f64 (log.f64 4) (log.f64 (PI.f64)))
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(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
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(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(*.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 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 4) 2) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (log.f64 (*.f64 4 (PI.f64))))
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
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(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
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(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64))))) 2))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
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(+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (*.f64 (*.f64 (PI.f64) 1/4) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(/.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))))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
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(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
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(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 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 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))))
(*.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 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))))
(*.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 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))))
(*.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)))
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(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.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))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
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(*.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) 3)
(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (neg.f64 (PI.f64)))))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
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(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.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 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.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 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.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 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (pow.f64 f -1)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))

localize257.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
98.5%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
Compiler

Compiled 133 to 100 computations (24.8% saved)

series40.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
19.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
18.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
0.0ms
f
@0
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))

rewrite42.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
386×add-sqr-sqrt
374×add-exp-log
374×pow1
372×add-log-exp
372×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019147
1409147
26217147
Stop Event
unsound
Counts
3 → 129
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Outputs
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
f
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
f
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
f

simplify62.0ms (0.2%)

Algorithm
egg-herbie
Rules
1046×fma-def
1006×associate-+r+
970×associate-+l+
888×distribute-lft-out
754×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231829
13031685
211821617
345751589
Stop Event
node limit
Counts
165 → 84
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)) (PI.f64)))))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)) (PI.f64))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/32 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 3 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3))))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(log.f64 1/131072)
(+.f64 (log.f64 1/131072) (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))))
(+.f64 (log.f64 1/131072) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)))))
(+.f64 (log.f64 1/131072) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/32 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 3 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
1
(+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
Outputs
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64))
(/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 1/131072))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))
(/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64))
(/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 1/131072))
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)) (PI.f64)))))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (*.f64 2 (+.f64 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (/.f64 (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (/.f64 (PI.f64) (*.f64 f f))))))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (fma.f64 2 (*.f64 (/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 2) 0) (PI.f64)) (*.f64 f f)) (*.f64 (/.f64 0 (PI.f64)) f)))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/16 (*.f64 f f))) (PI.f64)) 0))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 2 (/.f64 (/.f64 1 (PI.f64)) (*.f64 1/16 (*.f64 f f)))))
(+.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)) (PI.f64))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/32 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 3 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3))))) (PI.f64))))))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (*.f64 2 (+.f64 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (/.f64 (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (/.f64 (PI.f64) (*.f64 f f))))))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (fma.f64 2 (*.f64 (/.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 2) 0) (PI.f64)) (*.f64 f f)) (*.f64 (/.f64 0 (PI.f64)) f)))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/16 (*.f64 f f))) (PI.f64)) 0))
(fma.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 2 (/.f64 (/.f64 1 (PI.f64)) (*.f64 1/16 (*.f64 f f)))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log.f64 1/131072)
(+.f64 (log.f64 1/131072) (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))))
(log.f64 1/131072)
(+.f64 (log.f64 1/131072) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)))))
(+.f64 (log.f64 1/131072) (*.f64 1/2 (+.f64 (*.f64 (*.f64 (PI.f64) 0) f) (*.f64 (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (*.f64 f f)))))
(fma.f64 1/2 (fma.f64 f 0 (*.f64 f (*.f64 f (fma.f64 1/16 (pow.f64 (PI.f64) 2) 0)))) (log.f64 1/131072))
(fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/32) (log.f64 1/131072))
(+.f64 (log.f64 1/131072) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/32 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 3 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2))))))
(+.f64 (log.f64 1/131072) (*.f64 1/2 (+.f64 (*.f64 (*.f64 (PI.f64) 0) f) (*.f64 (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (*.f64 f f)))))
(fma.f64 1/2 (fma.f64 f 0 (*.f64 f (*.f64 f (fma.f64 1/16 (pow.f64 (PI.f64) 2) 0)))) (log.f64 1/131072))
(fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/32) (log.f64 1/131072))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(log.f64 (*.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
1
(+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 1)
(fma.f64 1/4 (*.f64 (PI.f64) f) 1)
(fma.f64 (PI.f64) (*.f64 1/4 f) 1)
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 1/4 (*.f64 f (PI.f64)))))
(fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) f)) 1))
(fma.f64 (*.f64 (*.f64 f f) 1/32) (pow.f64 (PI.f64) 2) (fma.f64 1/4 (*.f64 (PI.f64) f) 1))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (fma.f64 (PI.f64) (*.f64 1/4 f) 1))
(+.f64 1 (*.f64 (*.f64 (PI.f64) f) (+.f64 (*.f64 (*.f64 (PI.f64) f) 1/32) 1/4)))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 f (PI.f64))) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(fma.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (+.f64 1 (fma.f64 1/4 (*.f64 (PI.f64) f) (*.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(+.f64 (fma.f64 (*.f64 (*.f64 f f) 1/32) (pow.f64 (PI.f64) 2) (fma.f64 1/4 (*.f64 (PI.f64) f) 1)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/384)))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (fma.f64 (PI.f64) (*.f64 1/4 f) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/384) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/384) 1) (*.f64 (*.f64 (PI.f64) f) (+.f64 (*.f64 (*.f64 (PI.f64) f) 1/32) 1/4)))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904
-18014398509481984
-68719476736
-262144
-64
-16
-4
-2
-1
-1/2
-1/4
-1/262144
0
1/18014398509481984
1/68719476736
1/262144
1/512
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
512
4096
131072
262144
262145
134217728
68719476736
18014398509481984
4722366482869645213696
324518553658426726783156020576256
5846006549323611672814739330865132078623730171904

localize203.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.5%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
98.5%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
Compiler

Compiled 157 to 113 computations (28% saved)

series84.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
55.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
19.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
1.0ms
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 (*.f64 (PI.f64) 1/2) f)))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))

rewrite46.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
438×add-sqr-sqrt
424×pow1
424×*-un-lft-identity
412×add-exp-log
410×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021188
1449188
27362188
Stop Event
unsound
Counts
4 → 130
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
(*.f64 (*.f64 (PI.f64) 1/2) f)
Outputs
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) (log.f64 -64))
(*.f64 (log.f64 -64) 1)
(*.f64 1 (log.f64 -64))
(*.f64 -1 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(*.f64 (*.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144

simplify92.0ms (0.3%)

Algorithm
egg-herbie
Rules
1350×fma-def
1276×associate-*l*
568×associate-+r+
520×associate-+l+
508×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01883912
14383746
216333650
371443650
Stop Event
node limit
Counts
178 → 158
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 1/1536 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 1/8 (*.f64 f (PI.f64))))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.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 f (PI.f64))))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) (log.f64 -64))
(*.f64 (log.f64 -64) 1)
(*.f64 1 (log.f64 -64))
(*.f64 -1 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(*.f64 (*.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (log.f64 4)) (log.f64 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (log.f64 4)) (log.f64 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 1/256 (pow.f64 (PI.f64) 4)) (*.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 2)) (*.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/32 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -1/128) (pow.f64 f 4)) (fma.f64 1/2 (*.f64 (pow.f64 f 3) (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 1/32 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -1/128 (pow.f64 f 4))) (-.f64 (fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 f 3) 0)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 4) -1/3072) (-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 f (*.f64 f 1/32)) (log.f64 4)) (log.f64 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))) (log.f64 f))
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(*.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(*.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 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(*.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 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(*.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 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(*.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 f (PI.f64))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 f (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 1/2 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(*.f64 2 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -64) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -1) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -1))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(+.f64 (log.f64 -64) 64)
(-.f64 (log.f64 -64) (log.f64 -64))
0
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(log.f64 -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) 2)
(*.f64 (log.f64 -64) 1)
(log.f64 -64)
(*.f64 1 (log.f64 -64))
(log.f64 -64)
(*.f64 -1 (log.f64 -64))
(neg.f64 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(/.f64 (log.f64 -64) (PI.f64))
(*.f64 (*.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (log.f64 -64) (/.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (/.f64 (PI.f64) -64))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (log.f64 -64) (/.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (/.f64 (PI.f64) -64))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (log.f64 -64) (/.f64 (log.f64 -64) (PI.f64)))
(/.f64 (pow.f64 (log.f64 -64) 2) (PI.f64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) 2)
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))))
(*.f64 64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) 64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (log.f64 -64) (log.f64 -64))
1
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 (pow.f64 (log.f64 -64) 2) -64)
(*.f64 -1/64 (pow.f64 (log.f64 -64) 2))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (log.f64 -64) 64)
(*.f64 (log.f64 -64) 1/64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (log.f64 -64) (*.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (*.f64 (PI.f64) -64))
(*.f64 (/.f64 -1/64 (PI.f64)) (log.f64 -64))
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(log.f64 -64)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(cbrt.f64 (log.f64 -64))
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (log.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log.f64 -64)
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(*.f64 2 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -64) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -1) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -1))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(+.f64 (log.f64 -64) 64)
(-.f64 (log.f64 -64) (log.f64 -64))
0
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(log.f64 -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (log.f64 -64) (log.f64 -64))
1
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 (pow.f64 (log.f64 -64) 2) -64)
(*.f64 -1/64 (pow.f64 (log.f64 -64) 2))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (log.f64 -64) 64)
(*.f64 (log.f64 -64) 1/64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (log.f64 -64) (*.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (*.f64 (PI.f64) -64))
(*.f64 (/.f64 -1/64 (PI.f64)) (log.f64 -64))
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(log.f64 -64)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(cbrt.f64 (log.f64 -64))
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (log.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log.f64 -64)
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144

eval504.0ms (1.5%)

Compiler

Compiled 20774 to 15247 computations (26.6% saved)

prune228.0ms (0.7%)

Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New77436810
Fresh437
Picked101
Done224
Total78141822
Accurracy
99.6%
Counts
822 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.6%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
94.7%
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
96.0%
(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)))))
96.6%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
96.4%
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
95.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
96.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (neg.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 f)))))))
95.1%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
6.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
95.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
97.4%
(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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
76.2%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
95.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
96.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
19.5%
(neg.f64 512)
18.9%
(neg.f64 256)
16.7%
(neg.f64 64)
15.8%
(neg.f64 27)
15.5%
(neg.f64 16)
15.0%
(neg.f64 9)
15.0%
(neg.f64 8)
14.7%
(neg.f64 5)
14.5%
(neg.f64 4)
9.3%
(neg.f64 1/18014398509481984)
4.6%
(neg.f64 0)
Compiler

Compiled 1165 to 971 computations (16.7% saved)

localize412.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
Compiler

Compiled 296 to 220 computations (25.7% saved)

series8.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
3.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))

rewrite52.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
640×add-sqr-sqrt
616×pow1
610×add-exp-log
608×*-un-lft-identity
606×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031105
1672105
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
Outputs
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f

simplify75.0ms (0.2%)

Algorithm
egg-herbie
Rules
1284×fma-def
1270×associate-*r*
1112×associate-*l*
684×associate-/r*
668×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02302666
15942550
221282470
Stop Event
node limit
Counts
70 → 99
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 -15/4 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 15/4 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 f 0)))
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(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) -61440)) (*.f64 5 (log.f64 (/.f64 -1 f))))) (/.f64 320 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/24 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440)))) (/.f64 -320 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 1720320) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5))) (/.f64 -51200 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)) -61440)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (/.f64 (/.f64 -320 (*.f64 f f)) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 15/4 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 3))) (*.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 603979776000 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) -61440)) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (/.f64 320 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/720 (/.f64 (fma.f64 15/4 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3)) 4404019200)) (fma.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))))) (/.f64 -320 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 1720320) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5))) (/.f64 -51200 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (/.f64 (fma.f64 1/720 (fma.f64 3/256 (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 11)) 603979776000 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) -1409286144000) (pow.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (PI.f64) 5)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 16515072000)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -32768000/3 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)) -61440)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (/.f64 (/.f64 -320 (*.f64 f f)) (pow.f64 (PI.f64) 2))))))
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125

localize11.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize12.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize122.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))
99.6%
(*.f64 f (PI.f64))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))))
Compiler

Compiled 88 to 51 computations (42% saved)

series8.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
4.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))))
0.0ms
f
@inf
(/.f64 4 (*.f64 f (PI.f64)))
0.0ms
f
@0
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))

rewrite101.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1730×log-prod
716×fma-def
626×expm1-udef
622×log1p-udef
390×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017112
1364104
24754104
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8))
Outputs
(+.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))) 1)
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (neg.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 -1 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 2))
(log.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 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 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1))
(+.f64 0 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 (/.f64 1 f) (PI.f64)) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(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))
(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 0 (*.f64 (PI.f64) f))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))) (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64) (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))))
(*.f64 1 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/512 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) (/.f64 1 (fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (-.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64)) (/.f64 1 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (-.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/512 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8))) (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/512 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (-.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/512 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64)) (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/512 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (-.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64))) (neg.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) 1/64) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (-.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/8))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/8)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))) (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(fma.f64 1 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 1 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 4 (/.f64 (/.f64 1 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) f) 1/8 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1 (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 1/8 (*.f64 (PI.f64) f) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) 1 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) 2) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) 2) (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (/.f64 (/.f64 1 f) (PI.f64)) 4 (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (*.f64 (PI.f64) 1/8) f (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (/.f64 4 f) (/.f64 1 (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (*.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (cbrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 1/8 (sqrt.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (PI.f64)))

simplify99.0ms (0.3%)

Algorithm
egg-herbie
Rules
1768×times-frac
772×cancel-sign-sub-inv
572×log-prod
402×fma-neg
348×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03846569
19116349
233466307
Stop Event
node limit
Counts
161 → 215
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/8))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/8)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))) (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/8)))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))
(fma.f64 1 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 1 (*.f64 (PI.f64) (*.f64 f 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 4 (/.f64 (/.f64 1 f) (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) f) 1/8 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1 (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 1/8 (*.f64 (PI.f64) f) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 f 1/8)) 1 (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) 2) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) 2) (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (/.f64 (/.f64 1 f) (PI.f64)) 4 (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (*.f64 (PI.f64) 1/8) f (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (/.f64 4 f) (/.f64 1 (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (*.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (cbrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (*.f64 1/8 (sqrt.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (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 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(+.f64 (*.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 1/24576 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/512 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/8 (*.f64 f (*.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (*.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 5) 1/24576)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8)))) (PI.f64))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(+.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (+.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 (*.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64)) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64))))) (*.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 128 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 (*.f64 4 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (PI.f64) -1/8)))) (PI.f64))) (/.f64 2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (+.f64 (/.f64 (/.f64 128 (*.f64 f f)) (pow.f64 (PI.f64) 3)) (/.f64 -2048 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 1/8 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/8))
(*.f64 f (*.f64 (PI.f64) 1/8))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 1/8 (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f 1/8))
(*.f64 f (*.f64 (PI.f64) 1/8))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 1/8 (*.f64 f (PI.f64))))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
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(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
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(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 f 1/8))) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) f)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (/.f64 (/.f64 1 f) (PI.f64)) 4 (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 (PI.f64) 1/8) f (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (/.f64 4 f) (/.f64 1 (PI.f64)) (*.f64 (PI.f64) (*.f64 f 1/8)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)) (cbrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 1/8 (sqrt.f64 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) f)) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 (/.f64 4 f) (PI.f64)))
(fma.f64 f (*.f64 (PI.f64) 1/8) (/.f64 4 (*.f64 f (PI.f64))))

localize178.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3))
98.9%
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
98.1%
(PI.f64)
97.7%
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
Compiler

Compiled 71 to 47 computations (33.8% saved)

series43.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
18.0ms
f
@-inf
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
12.0ms
f
@0
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
8.0ms
f
@inf
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
2.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3))
1.0ms
f
@inf
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3))

rewrite85.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1400×log-prod
846×pow-prod-down
710×pow-prod-up
640×pow-exp
536×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01677
134877
2383477
Stop Event
node limit
Counts
3 → 121
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3))
Outputs
(+.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 0)
(+.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 f (PI.f64)))) (log.f64 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (*.f64 f (neg.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (log.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(+.f64 0 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(+.f64 (log.f64 (/.f64 4 f)) (neg.f64 (log.f64 (PI.f64))))
(+.f64 (neg.f64 (log.f64 (*.f64 f (PI.f64)))) (log.f64 4))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (log.f64 (*.f64 f (PI.f64)))) 1 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (log.f64 (*.f64 f (PI.f64)))) 1 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (log.f64 (*.f64 f (PI.f64)))) 1 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (log.f64 (*.f64 f (PI.f64))))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
(-.f64 (log.f64 4) (log.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64))))))
(-.f64 (log.f64 -4) (log.f64 (*.f64 f (neg.f64 (PI.f64)))))
(-.f64 0 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) 1)))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) 1/4))))
(-.f64 (log.f64 (/.f64 4 (sqrt.f64 (*.f64 f (PI.f64))))) (log.f64 (sqrt.f64 (*.f64 f (PI.f64)))))
(-.f64 (log.f64 (neg.f64 (/.f64 4 f))) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 2))) (log.f64 (cbrt.f64 (*.f64 f (PI.f64)))))
(-.f64 (log.f64 (/.f64 (/.f64 4 f) 1)) (log.f64 (PI.f64)))
(-.f64 (log.f64 (/.f64 (/.f64 4 f) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (log.f64 (cbrt.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64)))) (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(*.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -1 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (*.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (log.f64 4) 2) (+.f64 (pow.f64 (log.f64 (*.f64 f (PI.f64))) 2) (*.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (*.f64 f (PI.f64))) 2)) (log.f64 (*.f64 4 (*.f64 f (PI.f64)))))
(neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)))
(neg.f64 (log.f64 (/.f64 (*.f64 (*.f64 f (PI.f64)) 1/4) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1/6) 2))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(+.f64 0 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) 1)
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(*.f64 1 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 5/2))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3/2) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3/2))
(*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 5/2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
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(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2)
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simplify82.0ms (0.3%)

Algorithm
egg-herbie
Rules
826×unswap-sqr
678×div-sub
472×log-prod
382×associate-+r+
380×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03434475
17644401
225304287
Stop Event
node limit
Counts
157 → 156
Calls
Call 1
Inputs
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))) 1)
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(*.f64 1 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 5/2))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3/2) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3/2))
(*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 5/2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 2))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
Outputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2))
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(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2))
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(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) 1/2)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3) 1/3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1) 1))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 3))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1/3))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 2))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))

eval574.0ms (1.7%)

Compiler

Compiled 20944 to 15133 computations (27.7% saved)

prune219.0ms (0.7%)

Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New68235717
Fresh191534
Picked101
Done066
Total70256758
Accurracy
99.6%
Counts
758 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.7%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
95.1%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3))
96.7%
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
96.6%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
96.4%
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
96.0%
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
96.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
6.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
97.4%
(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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
6.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
6.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
18.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
19.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
19.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
18.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
17.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
17.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
16.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
16.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
15.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
15.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
14.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
14.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
7.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
76.1%
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
76.2%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
95.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
96.2%
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
19.5%
(neg.f64 512)
18.9%
(neg.f64 256)
16.7%
(neg.f64 64)
15.8%
(neg.f64 27)
15.5%
(neg.f64 16)
15.0%
(neg.f64 9)
15.0%
(neg.f64 8)
14.7%
(neg.f64 5)
14.5%
(neg.f64 4)
9.3%
(neg.f64 1/18014398509481984)
4.6%
(neg.f64 0)
Compiler

Compiled 1416 to 1217 computations (14.1% saved)

localize188.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 168 to 133 computations (20.8% saved)

series0.0ms (0%)

Counts
4 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
f
@0
(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms
f
@inf
(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms
f
@-inf
(/.f64 (/.f64 4 (PI.f64)) f)

rewrite96.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1904×log-prod
738×expm1-udef
728×log1p-udef
420×add-sqr-sqrt
398×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02088
143968
2535864
Stop Event
node limit
Counts
4 → 131
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)
(/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))
(fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)))
(/.f64 (/.f64 4 (PI.f64)) f)
Outputs
(+.f64 0 (/.f64 48 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 48 (PI.f64)))) 1)
(*.f64 1/2 (/.f64 1 (*.f64 1/96 (PI.f64))))
(*.f64 1/2 (*.f64 (/.f64 1/2 (PI.f64)) 192))
(*.f64 (/.f64 1/2 (PI.f64)) 96)
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(*.f64 (/.f64 48 (PI.f64)) 1)
(*.f64 1 (/.f64 48 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 48 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2) (cbrt.f64 (/.f64 48 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 192))
(*.f64 (sqrt.f64 (/.f64 48 (PI.f64))) (sqrt.f64 (/.f64 48 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) 192))
(*.f64 (/.f64 -1/4 (PI.f64)) -192)
(*.f64 192 (/.f64 1/4 (PI.f64)))
(*.f64 96 (/.f64 1/2 (PI.f64)))
(pow.f64 (/.f64 48 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 48 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 48 (PI.f64))) 2)
(pow.f64 (*.f64 1/48 (PI.f64)) -1)
(neg.f64 (/.f64 (/.f64 1/4 (PI.f64)) -1/192))
(sqrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 48 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 48 (PI.f64))))
(exp.f64 (log.f64 (/.f64 48 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 48 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 48 (PI.f64))))
(+.f64 0 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))) 1)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -2 (*.f64 1/48 (PI.f64)))
(*.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 1)
(*.f64 2 (/.f64 1 (neg.f64 (/.f64 48 (PI.f64)))))
(*.f64 1 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2) (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(*.f64 -4 (*.f64 1/96 (PI.f64)))
(*.f64 (*.f64 1/48 (PI.f64)) -2)
(*.f64 (*.f64 -8 (PI.f64)) 1/192)
(*.f64 (/.f64 -2 (/.f64 -1/4 (PI.f64))) -1/192)
(pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2)
(pow.f64 (*.f64 (/.f64 48 (PI.f64)) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2)))
(log.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(+.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) (*.f64 1/8 (PI.f64)))
(+.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 0 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))
(+.f64 (*.f64 (*.f64 1/8 (PI.f64)) 1) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))) 1)
(*.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)
(*.f64 1 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (PI.f64)) 3) (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3)) (fma.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64)) (-.f64 (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2)) (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2))) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))) (exp.f64 (*.f64 1/8 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))) (exp.f64 (*.f64 1/8 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 1/8 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(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 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.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 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify68.0ms (0.2%)

Algorithm
egg-herbie
Rules
1358×unswap-sqr
758×log-prod
590×times-frac
414×associate-*r*
392×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03142673
17142239
229322101
Stop Event
node limit
Counts
143 → 173
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 0 (/.f64 48 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 48 (PI.f64)))) 1)
(*.f64 1/2 (/.f64 1 (*.f64 1/96 (PI.f64))))
(*.f64 1/2 (*.f64 (/.f64 1/2 (PI.f64)) 192))
(*.f64 (/.f64 1/2 (PI.f64)) 96)
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(*.f64 (/.f64 48 (PI.f64)) 1)
(*.f64 1 (/.f64 48 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 48 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2) (cbrt.f64 (/.f64 48 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 192))
(*.f64 (sqrt.f64 (/.f64 48 (PI.f64))) (sqrt.f64 (/.f64 48 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) 192))
(*.f64 (/.f64 -1/4 (PI.f64)) -192)
(*.f64 192 (/.f64 1/4 (PI.f64)))
(*.f64 96 (/.f64 1/2 (PI.f64)))
(pow.f64 (/.f64 48 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 48 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 48 (PI.f64))) 2)
(pow.f64 (*.f64 1/48 (PI.f64)) -1)
(neg.f64 (/.f64 (/.f64 1/4 (PI.f64)) -1/192))
(sqrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 48 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 48 (PI.f64))))
(exp.f64 (log.f64 (/.f64 48 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 48 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 48 (PI.f64))))
(+.f64 0 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))) 1)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -2 (*.f64 1/48 (PI.f64)))
(*.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 1)
(*.f64 2 (/.f64 1 (neg.f64 (/.f64 48 (PI.f64)))))
(*.f64 1 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2) (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(*.f64 -4 (*.f64 1/96 (PI.f64)))
(*.f64 (*.f64 1/48 (PI.f64)) -2)
(*.f64 (*.f64 -8 (PI.f64)) 1/192)
(*.f64 (/.f64 -2 (/.f64 -1/4 (PI.f64))) -1/192)
(pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2)
(pow.f64 (*.f64 (/.f64 48 (PI.f64)) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2)))
(log.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(+.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) (*.f64 1/8 (PI.f64)))
(+.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 0 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))
(+.f64 (*.f64 (*.f64 1/8 (PI.f64)) 1) (*.f64 1/192 (*.f64 -8 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))) 1)
(*.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)
(*.f64 1 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (PI.f64)) 3) (pow.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 3)) (fma.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64)) (-.f64 (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2)) (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64))) (/.f64 4 (pow.f64 (/.f64 48 (PI.f64)) 2))) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))) (exp.f64 (*.f64 1/8 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))) (exp.f64 (*.f64 1/8 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 1/8 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/192 (*.f64 -8 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(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 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.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 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 0 (/.f64 48 (PI.f64)))
(/.f64 48 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 48 (PI.f64))))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 48 (PI.f64)))) 1)
(/.f64 48 (PI.f64))
(*.f64 1/2 (/.f64 1 (*.f64 1/96 (PI.f64))))
(/.f64 48 (PI.f64))
(*.f64 1/2 (*.f64 (/.f64 1/2 (PI.f64)) 192))
(/.f64 48 (PI.f64))
(*.f64 (/.f64 1/2 (PI.f64)) 96)
(/.f64 48 (PI.f64))
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(/.f64 48 (PI.f64))
(*.f64 (/.f64 48 (PI.f64)) 1)
(/.f64 48 (PI.f64))
(*.f64 1 (/.f64 48 (PI.f64)))
(/.f64 48 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 48 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2))
(/.f64 48 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 2) (cbrt.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 192))
(/.f64 48 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 48 (PI.f64))) (sqrt.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 1/4 (PI.f64))) 192))
(/.f64 48 (PI.f64))
(*.f64 (/.f64 -1/4 (PI.f64)) -192)
(/.f64 48 (PI.f64))
(*.f64 192 (/.f64 1/4 (PI.f64)))
(/.f64 48 (PI.f64))
(*.f64 96 (/.f64 1/2 (PI.f64)))
(/.f64 48 (PI.f64))
(pow.f64 (/.f64 48 (PI.f64)) 1)
(/.f64 48 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 48 (PI.f64))) 3)
(/.f64 48 (PI.f64))
(pow.f64 (pow.f64 (/.f64 48 (PI.f64)) 3) 1/3)
(/.f64 48 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 48 (PI.f64))) 2)
(/.f64 48 (PI.f64))
(pow.f64 (*.f64 1/48 (PI.f64)) -1)
(/.f64 48 (PI.f64))
(neg.f64 (/.f64 (/.f64 1/4 (PI.f64)) -1/192))
(/.f64 48 (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 2))
(/.f64 48 (PI.f64))
(log.f64 (exp.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 48 (PI.f64)))))
(/.f64 48 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 48 (PI.f64)) 3))
(/.f64 48 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(exp.f64 (log.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 48 (PI.f64))) 1))
(/.f64 48 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 48 (PI.f64))))
(/.f64 48 (PI.f64))
(+.f64 0 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) 1/48))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) 1/48))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) 1/48)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) 1/48))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) 1/48)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 1/48 (PI.f64))))))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))))) 1)
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 1/192 (*.f64 -8 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 -2 (*.f64 1/48 (PI.f64)))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 (*.f64 1/192 (*.f64 -8 (PI.f64))) 1)
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 2 (/.f64 1 (neg.f64 (/.f64 48 (PI.f64)))))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 1 (*.f64 1/192 (*.f64 -8 (PI.f64))))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))) 2) (cbrt.f64 (*.f64 1/192 (*.f64 -8 (PI.f64)))))
(*.f64 -1/24 (PI.f64))
(*.f64 (PI.f64) -1/24)
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(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))

localize52.0ms (0.2%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize42.0ms (0.1%)

Compiler

Compiled 29 to 25 computations (13.8% saved)

localize62.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
Compiler

Compiled 40 to 28 computations (30% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
0.0ms
f
@-inf
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
0.0ms
f
@inf
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite111.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1160×log-prod
716×prod-exp
704×pow-prod-down
544×pow-prod-up
474×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
123133
2297633
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
Outputs
(+.f64 0 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.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)))
(pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1)
(sqrt.f64 (pow.f64 (log.f64 (pow.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 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))

simplify63.0ms (0.2%)

Algorithm
egg-herbie
Rules
1288×log-prod
998×associate-*r*
892×associate-*l*
670×log-div
508×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232012
12741700
27521700
358061700
Stop Event
node limit
Counts
50 → 48
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 0 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.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)))
(pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1)
(sqrt.f64 (pow.f64 (log.f64 (pow.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 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
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)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(+.f64 0 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (PI.f64))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (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 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 3)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2) 1/2)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3) 1/3)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 2)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1)
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (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)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1) 1))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 3))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1/3))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 2))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1) (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))

localize106.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
99.2%
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
98.9%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
Compiler

Compiled 66 to 42 computations (36.4% saved)

series11.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
f
@-inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
2.0ms
f
@0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
2.0ms
f
@inf
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
2.0ms
f
@inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
1.0ms
f
@0
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))

rewrite92.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1354×log-prod
844×pow-prod-down
690×pow-prod-up
620×pow-exp
506×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01575
131875
2360975
Stop Event
node limit
Counts
3 → 131
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
Outputs
(+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 0)
(+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 f (PI.f64)))) (log.f64 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f)))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64))))) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 1/3))
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(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) 1/3))
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(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3) 1/3)
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 2))
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simplify99.0ms (0.3%)

Algorithm
egg-herbie
Rules
1494×times-frac
846×unswap-sqr
670×div-sub
522×log-prod
310×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03574294974909
17925011
226015005
Stop Event
node limit
Counts
167 → 193
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
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(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) -1)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 2))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
Outputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.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 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.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 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.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 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.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 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 0)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 f (PI.f64)))) (log.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f)))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64))))) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64))))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
(*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
(+.f64 0 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 f)) (neg.f64 (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
(*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
(+.f64 (neg.f64 (log.f64 (*.f64 f (PI.f64)))) (log.f64 4))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
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(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (*.f64 4 (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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3) 1/3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3)) 1/3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 2))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))

eval293.0ms (0.9%)

Compiler

Compiled 11496 to 8553 computations (25.6% saved)

prune188.0ms (0.6%)

Pruning

52 alts after pruning (42 fresh and 10 done)

PrunedKeptTotal
New4968504
Fresh113445
Picked011
Done1910
Total50852560
Accurracy
99.6%
Counts
560 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
96.7%
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
96.6%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
96.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
96.4%
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
96.0%
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
96.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
6.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
38.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
97.4%
(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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
18.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
19.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
19.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
18.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
17.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
17.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
16.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
16.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
15.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
15.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
14.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
14.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
7.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
76.1%
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
76.2%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
95.2%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
95.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
96.2%
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
19.5%
(neg.f64 512)
18.9%
(neg.f64 256)
16.7%
(neg.f64 64)
15.8%
(neg.f64 27)
15.5%
(neg.f64 16)
15.0%
(neg.f64 9)
15.0%
(neg.f64 8)
14.7%
(neg.f64 5)
14.5%
(neg.f64 4)
9.3%
(neg.f64 1/18014398509481984)
4.6%
(neg.f64 0)
Compiler

Compiled 2119 to 1668 computations (21.3% saved)

regimes259.0ms (0.8%)

Counts
93 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (neg.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 f)))))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (pow.f64 -1 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(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 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(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))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
Calls

6 calls:

109.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
41.0ms
f
40.0ms
(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))))))))
12.0ms
(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))))))
11.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
97.5%1f
97.5%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.5%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.5%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1553 to 1168 computations (24.8% saved)

regimes225.0ms (0.7%)

Counts
92 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (neg.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 f)))))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (pow.f64 -1 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(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 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(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))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
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 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
Calls

6 calls:

69.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
68.0ms
f
11.0ms
(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))))))
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Results
AccuracySegmentsBranch
97.4%1f
97.4%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.4%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.4%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1498 to 1126 computations (24.8% saved)

regimes190.0ms (0.6%)

Counts
91 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (neg.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 f)))))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (pow.f64 -1 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(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 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(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))))))))
(*.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)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
Calls

6 calls:

48.0ms
f
40.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
11.0ms
(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))))))
10.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Results
AccuracySegmentsBranch
97.1%1f
97.1%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.1%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1452 to 1091 computations (24.9% saved)

regimes165.0ms (0.5%)

Counts
80 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/8 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (neg.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 f)))))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(*.f64 (log.f64 (pow.f64 -1 (log.f64 (neg.f64 (*.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (pow.f64 (sqrt.f64 (PI.f64)) 2)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(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)))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
Calls

2 calls:

62.0ms
f
52.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
Results
AccuracySegmentsBranch
97.1%1f
97.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 990 to 748 computations (24.4% saved)

regimes58.0ms (0.2%)

Counts
64 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
Outputs
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
Calls

1 calls:

37.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
Compiler

Compiled 647 to 499 computations (22.9% saved)

regimes49.0ms (0.2%)

Counts
62 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) -1/2)) f)) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(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 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3))
Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
Calls

1 calls:

33.0ms
f
Results
AccuracySegmentsBranch
96.6%1f
Compiler

Compiled 614 to 476 computations (22.5% saved)

regimes23.0ms (0.1%)

Counts
31 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Calls

1 calls:

17.0ms
f
Results
AccuracySegmentsBranch
96.4%1f
Compiler

Compiled 199 to 171 computations (14.1% saved)

regimes58.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
(neg.f64 512)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/12475583382146119654829804595707904000000000))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 5))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 9))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 16))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 256)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
Outputs
(neg.f64 512)
Calls

1 calls:

53.0ms
f
Results
AccuracySegmentsBranch
19.5%1f
Compiler

Compiled 155 to 139 computations (10.3% saved)

regimes8.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
(neg.f64 256)
Outputs
(neg.f64 256)
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
18.9%1f
Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes9.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
(neg.f64 64)
Outputs
(neg.f64 64)
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
16.7%1f
Compiler

Compiled 21 to 20 computations (4.8% saved)

regimes7.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
(neg.f64 27)
Outputs
(neg.f64 27)
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
15.8%1f
Compiler

Compiled 19 to 18 computations (5.3% saved)

regimes8.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
(neg.f64 16)
Outputs
(neg.f64 16)
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
15.5%1f
Compiler

Compiled 17 to 16 computations (5.9% saved)

regimes6.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
(neg.f64 9)
Outputs
(neg.f64 9)
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
15.0%1f
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
(neg.f64 8)
Outputs
(neg.f64 8)
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
15.0%1f
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
(neg.f64 5)
Outputs
(neg.f64 5)
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
14.7%1f
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
(neg.f64 4)
Outputs
(neg.f64 4)
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
14.5%1f
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 0)
(neg.f64 1/18014398509481984)
Outputs
(neg.f64 1/18014398509481984)
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
9.3%1f
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes37.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 0)
Outputs
(neg.f64 0)
Calls

1 calls:

36.0ms
f
Results
AccuracySegmentsBranch
4.6%1f
Compiler

Compiled 5 to 4 computations (20% saved)

simplify31.0ms (0.1%)

Algorithm
egg-herbie
Rules
136×neg-mul-1
90×unsub-neg
84×*-commutative
72×distribute-lft-neg-in
72×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119620
1182612
2250612
3288596
4309596
5403596
6537596
Stop Event
fuel
saturated
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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 512)
(neg.f64 256)
(neg.f64 64)
(neg.f64 27)
(neg.f64 16)
(neg.f64 9)
(neg.f64 8)
(neg.f64 5)
(neg.f64 4)
(neg.f64 1/18014398509481984)
(neg.f64 0)
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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680)))))))))
(*.f64 (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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680))))))))
(*.f64 (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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680))))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 f 7) 1/41287680))))))) (/.f64 -1 (/.f64 (PI.f64) 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)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(*.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 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(*.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 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.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 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (/.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) 1/4))
(/.f64 (neg.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))) 1/4)
(/.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/8) (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64)) 1/4)
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(neg.f64 512)
-512
(neg.f64 256)
-256
(neg.f64 64)
-64
(neg.f64 27)
-27
(neg.f64 16)
-16
(neg.f64 9)
-9
(neg.f64 8)
-8
(neg.f64 5)
-5
(neg.f64 4)
-4
(neg.f64 1/18014398509481984)
-1/18014398509481984
(neg.f64 0)
0
Compiler

Compiled 209 to 170 computations (18.7% saved)

soundness1.8s (5.5%)

Rules
1904×log-prod
1864×fma-neg
1730×log-prod
1540×times-frac
1540×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01493510
14323242
216832942
019100
1412100
26824100
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
019147
1409147
26217147
01493510
14323242
216832942
05449582
112678790
249198608
01265
125365
2333865
01493510
14323242
216832942
01883912
14383746
216333650
371443650
017112
1364104
24754104
01493510
14323242
216832942
02088
143968
2535864
03142673
17142239
229322101
01493510
14323242
216832942
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
unsound
unsound
unsound
unsound
unsound
unsound
unsound
unsound
unsound
unsound
unsound
node limit
Compiler

Compiled 2328 to 1769 computations (24% saved)

end246.0ms (0.7%)

Compiler

Compiled 460 to 350 computations (23.9% saved)

Profiling

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