VandenBroeck and Keller, Equation (20)

Time bar (total: 29.4s)

analyze420.0ms (1.4%)

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

Compiled 39 to 31 computations (20.5% saved)

sample18.4s (62.5%)

Results
8.9s7756×body8192exit
2.6s4019×body1024valid
2.4s3910×body1024invalid
1.4s7708×body256unsamplable
826.0ms2092×body512valid
750.0ms1955×body512invalid
629.0ms1645×body256valid
589.0ms500×body2048valid
197.0ms1025×body256invalid
1.0msbody2048invalid
Bogosity

preprocess703.0ms (2.4%)

Algorithm
egg-herbie
Rules
1436×times-frac
1336×fma-def
946×associate-/r*
602×associate-*r/
590×associate-/l*
Problems
248×(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032433
192399
2241363
3720363
42345363
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) 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 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) 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 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 236 to 175 computations (25.8% saved)

eval3.0ms (0%)

Compiler

Compiled 169 to 122 computations (27.8% saved)

prune2.0ms (0%)

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

Compiled 76 to 60 computations (21.1% saved)

localize639.0ms (2.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.3%
(*.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)))))))
97.3%
(/.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)))))
10.9%
(-.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
35.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
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))))

rewrite75.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
250×associate-*r*
168×associate-*l*
139×add-exp-log
138×add-log-exp
138×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
1310112
25551112
Stop Event
unsound
Counts
4 → 64
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
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify57.0ms (0.2%)

Algorithm
egg-herbie
Rules
1344×times-frac
1314×fma-def
662×distribute-lft-in
658×distribute-rgt-in
618×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01423777
14203549
216323244
Stop Event
node limit
Counts
112 → 61
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.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 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.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 (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 f (-.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 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.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 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.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 2 (/.f64 1 (*.f64 f (-.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 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.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 (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 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (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 2 (/.f64 (*.f64 f (*.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (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 2 (/.f64 (*.f64 f (*.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (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) (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 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (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 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.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 (*.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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (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) (pow.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 (*.f64 2 (/.f64 (*.f64 f (*.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (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) (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 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (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 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (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)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.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 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(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) (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.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 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.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) (*.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (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 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval63.0ms (0.2%)

Compiler

Compiled 2852 to 2156 computations (24.4% saved)

prune64.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New58967
Fresh000
Picked101
Done000
Total59968
Accuracy
97.1%
Counts
68 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.0%
(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)))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.6%
(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)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
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)))) 16))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.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 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 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
95.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.0%
(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)))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.6%
(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)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
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)))) 16))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.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 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 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
95.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
Compiler

Compiled 1056 to 852 computations (19.3% saved)

localize1.4s (4.9%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.3%
(*.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))))
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 (*.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))
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
100.0%
(*.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)))) 16)))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
99.6%
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
99.6%
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
99.5%
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(-.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))))
98.4%
(*.f64 1/384 (pow.f64 (PI.f64) 3))
98.4%
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
Compiler

Compiled 1136 to 873 computations (23.2% saved)

series222.0ms (0.8%)

Counts
17 → 108
Calls

27 calls:

TimeVariablePointExpression
90.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
36.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
23.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
19.0ms
f
@0
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
16.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))

rewrite170.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
472×log1p-expm1-u
472×expm1-log1p-u
465×add-exp-log
460×add-log-exp
457×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065561
11141557
Stop Event
node limit
Counts
17 → 331
Calls
Call 1
Inputs
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(-.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 (PI.f64) 3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
(*.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)))) 16)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))
(/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)
(fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)))
(*.f64 (/.f64 1 (/.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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) 1)
(pow.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 -1/384)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) -1/56623104) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)
(log.f64 (pow.f64 (exp.f64 -1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) -1/56623104))
(expm1.f64 (log1p.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (log.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/384))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/384)))
(+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (neg.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (/.f64 (*.f64 1/16 (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 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) -2))) 2 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) (fma.f64 -2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) -2)) (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (sqrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) 1/16 (neg.f64 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) 1/16 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))))
(+.f64 (fma.f64 1 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1 (*.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)))
(+.f64 (fma.f64 1 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
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(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
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(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1)
(*.f64 1 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(*.f64 -2 (/.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2) (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
(pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 1)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(*.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 2)) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
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(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
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(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))) 1)
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
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(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))

simplify201.0ms (0.7%)

Algorithm
egg-herbie
Rules
1158×associate-*r*
994×associate-*l*
610×fma-def
578×sqr-pow
374×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088920707
1216917514
Stop Event
node limit
Counts
439 → 531
Calls
Call 1
Inputs
(*.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))) (*.f64 -1 (log.f64 f))) (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))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.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)))
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(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
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(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1))
(log1p.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))) 1)
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 2)
(log.f64 (pow.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 3)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1)
(*.f64 1 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(*.f64 -2 (/.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2) (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
(pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -2) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 -2 (/.f64 1/4 (PI.f64)))) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(*.f64 1 (*.f64 (/.f64 1/4 (PI.f64)) 192))
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 2)) (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2)
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 1/4 (PI.f64))) 192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(+.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))) 1)
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2)
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1))
Outputs
(*.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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.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 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.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 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
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eval747.0ms (2.5%)

Compiler

Compiled 22794 to 17978 computations (21.1% saved)

prune162.0ms (0.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New55624580
Fresh224
Picked415
Done000
Total56227589
Accuracy
97.3%
Counts
589 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
95.2%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
94.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.7%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
94.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3))))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
95.6%
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
95.5%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
95.6%
(neg.f64 (/.f64 4 (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
94.5%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
94.9%
(neg.f64 (/.f64 4 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3)))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.0%
(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))) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
31.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
76.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
94.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
94.0%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
95.2%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
94.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
95.7%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
94.3%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3))))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
95.6%
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
95.5%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
95.6%
(neg.f64 (/.f64 4 (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
94.5%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
94.9%
(neg.f64 (/.f64 4 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3)))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.0%
(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))) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
31.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
94.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
1.7%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
76.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
94.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
94.5%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
Compiler

Compiled 1896 to 1600 computations (15.6% saved)

localize361.0ms (1.2%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 f (PI.f64))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))
35.3%
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.3%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
99.2%
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
98.8%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
99.6%
(*.f64 f (PI.f64))
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
91.8%
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
80.3%
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
98.4%
(*.f64 (PI.f64) 1/12)
Compiler

Compiled 289 to 180 computations (37.7% saved)

series237.0ms (0.8%)

Counts
16 → 120
Calls

45 calls:

TimeVariablePointExpression
133.0ms
f
@0
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
21.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))
17.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
17.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
15.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))

rewrite229.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
879×log1p-expm1-u
816×prod-diff
548×expm1-udef
548×log1p-udef
304×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036406
1504406
25013406
Stop Event
node limit
Counts
16 → 648
Calls
Call 1
Inputs
(*.f64 (PI.f64) 1/12)
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))) 1)
(*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 1 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 4 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 1/4))
(*.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) 4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) 4) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (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))
(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)))

simplify297.0ms (1%)

Algorithm
egg-herbie
Rules
1362×log-prod
680×exp-prod
652×log-div
630×associate-*r*
626×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071429292
1175826452
2593826452
Stop Event
node limit
Counts
768 → 415
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
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(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (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)))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
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(*.f64 4 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))))) 1)
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(/.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 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2) 3/2)
(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)
(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))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 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))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) f) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2) 1/3) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2) 1/3))
(*.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 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (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 (/.f64 4 (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)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (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))
(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)))
Outputs
(*.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))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (*.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (-.f64 (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64)) (+.f64 (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (-.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 (/.f64 4608 (pow.f64 f 4)) (pow.f64 (PI.f64) 5)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))) (PI.f64))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (+.f64 (/.f64 192 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
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(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 0))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 0))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2) 1/3))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) f) 4)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (pow.f64 1 1/3) (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2) 1/3) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3/2)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)))
(*.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 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(/.f64 2 (*.f64 (/.f64 f 2) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 2 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 f))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.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 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2))
(fabs.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(fabs.f64 (*.f64 (PI.f64) f))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)

eval179.0ms (0.6%)

Compiler

Compiled 8409 to 6256 computations (25.6% saved)

prune117.0ms (0.4%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New40114415
Fresh12921
Picked235
Done101
Total41626442
Accuracy
97.3%
Counts
442 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
95.7%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
1.7%
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 (PI.f64) 1/4)))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
95.6%
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
95.5%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
94.5%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
95.6%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
96.0%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.3%
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/4)))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
95.5%
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
94.1%
(neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
95.5%
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
94.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.2%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
94.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
95.7%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
1.7%
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 (PI.f64) 1/4)))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
95.6%
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
95.5%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
94.5%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
95.6%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
96.0%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.3%
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/4)))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
95.5%
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
94.1%
(neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
95.5%
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
94.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.2%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
Compiler

Compiled 1816 to 1504 computations (17.2% saved)

localize469.0ms (1.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16)))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.6%
(*.f64 (PI.f64) f)
99.5%
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
99.5%
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
98.4%
(*.f64 (PI.f64) 1/12)
98.4%
(log.f64 (*.f64 (PI.f64) 1/12))
99.5%
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.4%
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4))
98.4%
(/.f64 1/3 (PI.f64))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.3%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.5%
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 (PI.f64) 1/4))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(*.f64 (PI.f64) 1/12)
91.3%
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
Compiler

Compiled 400 to 277 computations (30.8% saved)

series26.0ms (0.1%)

Counts
11 → 108
Calls

27 calls:

TimeVariablePointExpression
16.0ms
f
@0
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
2.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16)))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16)))
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16)))
1.0ms
f
@-inf
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))

rewrite108.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
342×frac-times
325×log1p-expm1-u
324×expm1-log1p-u
321×add-exp-log
317×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047403
1786383
Stop Event
node limit
Counts
11 → 289
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 (PI.f64) 1/4))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 1/3 (PI.f64))
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(log.f64 (*.f64 (PI.f64) 1/12))
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16)))
(log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
Outputs
(-.f64 (+.f64 1 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.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 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.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 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (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 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (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)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 f (/.f64 4 (PI.f64))))
(/.f64 1 (*.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) f))
(/.f64 -1 (*.f64 f (*.f64 (PI.f64) 1/4)))
(/.f64 -1 (neg.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(/.f64 -4 (neg.f64 (*.f64 (PI.f64) f)))
(/.f64 -4 (*.f64 (neg.f64 (PI.f64)) f))
(/.f64 (neg.f64 (/.f64 4 (PI.f64))) (neg.f64 f))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (PI.f64)))) (neg.f64 (neg.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1)
(*.f64 4 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1/2))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 16))) (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 16))) (cbrt.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 16))) (/.f64 (sqrt.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(pow.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1/2) 2)
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 1 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(/.f64 (+.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3)) (+.f64 (pow.f64 (log.f64 f) 2) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2)) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 f) 2) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))) (neg.f64 (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
(pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 2))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 1))
(log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))
(fma.f64 1 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 f))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))))) 1)
(-.f64 (/.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 16) (*.f64 (PI.f64) 1/4)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 2))
(log.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(+.f64 0 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16)) 2)) (log.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))) (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(-.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 16))
(-.f64 0 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (log.f64 -16))
(*.f64 1 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2) (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2)
(neg.f64 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 2))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) 1))

simplify241.0ms (0.8%)

Algorithm
egg-herbie
Rules
1080×associate-*r*
1004×associate-*l*
886×times-frac
530×fma-def
410×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087419856
1230317780
Stop Event
node limit
Counts
397 → 533
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 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (*.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(*.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))) (*.f64 -1 (log.f64 f))) (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))) (*.f64 -1 (log.f64 f))) (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)))
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(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/12))) 1))
(log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))))) 1)
(*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(*.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) 2) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (sqrt.f64 (PI.f64))) (/.f64 4 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 1) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) 1) (/.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) (PI.f64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) 3)
(pow.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) 2)
(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) -1)
(sqrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 2))
(log.f64 (pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))))))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 1 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2) (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(/.f64 (+.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3)) (+.f64 (pow.f64 (log.f64 f) 2) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2)) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 f) 2) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))) (neg.f64 (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
(pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 2))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/12)))) 1))
(log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))
(fma.f64 1 (log.f64 (*.f64 (PI.f64) 1/12)) (log.f64 f))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12)))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) (log.f64 f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))))) 1)
(-.f64 (/.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 16) (*.f64 (PI.f64) 1/4)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 2))
(log.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(+.f64 0 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16)) 2)) (log.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))) (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(-.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 16))
(-.f64 0 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (log.f64 -16))
(*.f64 1 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2) (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2)
(neg.f64 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 2))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) 1))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 2))
(fabs.f64 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4)))
(log.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) (/.f64 4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64))) 3))
(*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))))
(*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))) 1))
(*.f64 4 (/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (PI.f64)))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) (*.f64 (PI.f64) 1/4))
(log1p.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))) (/.f64 4 (PI.f64))) -1))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(+.f64 0 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16)) 2)) (log.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)))) 2)) (log.f64 (cbrt.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))) (log.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1))))))
(-.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 16))
(-.f64 0 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(neg.f64 (log.f64 (/.f64 16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))) 1)
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(-.f64 (log.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (log.f64 -16))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)))) (log.f64 -16))
(-.f64 (log.f64 (-.f64 (+.f64 (*.f64 f (*.f64 (PI.f64) -1/4)) -1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 -16))
(*.f64 1 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2) (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 1)
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 3)
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3) 1/3)
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 2)
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(neg.f64 (log.f64 (/.f64 16 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(neg.f64 (log.f64 (/.f64 16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 2))
(fabs.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16)) 3))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))) 1))
(+.f64 (log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) (log.f64 1/16))
(log1p.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) 1) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) 1/16) 1))
(log1p.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)) 1/16 -1))
(log1p.f64 (fma.f64 1/16 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) (*.f64 f 1/4) 1)) -1))

eval414.0ms (1.4%)

Compiler

Compiled 18826 to 13797 computations (26.7% saved)

prune226.0ms (0.8%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New86012872
Fresh61218
Picked235
Done033
Total86830898
Accuracy
97.3%
Counts
898 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
95.7%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
95.5%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3) (*.f64 (PI.f64) 1/12)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1)))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
0.8%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))) (PI.f64)))
1.7%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
0.2%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 -1 f) (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
96.1%
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
95.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
95.6%
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
95.5%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
94.5%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
95.4%
(neg.f64 (/.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
95.5%
(neg.f64 (/.f64 1/3 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/12))))
95.5%
(neg.f64 (/.f64 1/3 (*.f64 (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (PI.f64))))
96.0%
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
31.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
95.6%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
95.4%
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
94.1%
(neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 1/64) (log.f64 (*.f64 f (PI.f64)))) (PI.f64))))
6.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
95.5%
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
94.3%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
95.2%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
Compiler

Compiled 1599 to 1236 computations (22.7% saved)

regimes197.0ms (0.7%)

Counts
60 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1/3 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/12))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (/.f64 1/3 (*.f64 (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (PI.f64))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (/.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 1/64) (log.f64 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (/.f64 4 (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 -1 f) (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (/.f64 4 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3)))))
(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)))) 16))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (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))) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
(neg.f64 (+.f64 (*.f64 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.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 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 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
Calls

6 calls:

59.0ms
(*.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)))))))
57.0ms
f
29.0ms
(*.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))))))
7.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
96.1%1f
96.1%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))))))))
96.1%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)))))))
96.1%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))))))
96.1%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)))))
96.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1234 to 923 computations (25.2% saved)

regimes64.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1/3 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/12))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (/.f64 1/3 (*.f64 (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (PI.f64))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (/.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 1/64) (log.f64 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (/.f64 4 (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 -1 f) (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (/.f64 4 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3)))))
(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)))) 16))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
Calls

2 calls:

24.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
23.0ms
f
Results
AccuracySegmentsBranch
96.1%1f
96.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 661 to 491 computations (25.7% saved)

regimes35.0ms (0.1%)

Counts
40 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1/3 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/12))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (/.f64 1/3 (*.f64 (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (PI.f64))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (/.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 1/64) (log.f64 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (/.f64 4 (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
Calls

1 calls:

21.0ms
f
Results
AccuracySegmentsBranch
95.7%1f
Compiler

Compiled 537 to 397 computations (26.1% saved)

regimes23.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (*.f64 4/3 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1/3 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/12))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/12)) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3) (*.f64 (PI.f64) 1/12)))
(neg.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/3) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (/.f64 1/3 (*.f64 (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (PI.f64))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (/.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1/4 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 1/64) (log.f64 (*.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (*.f64 4 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1)))) (PI.f64)))
Outputs
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
Calls

1 calls:

14.0ms
f
Results
AccuracySegmentsBranch
95.7%1f
Compiler

Compiled 335 to 248 computations (26% saved)

regimes7.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (*.f64 (*.f64 f (PI.f64)) 1/12))) (PI.f64)))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
95.7%1f
Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes7.0ms (0%)

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

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
95.6%1f
Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (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 (PI.f64) f))))))
Outputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
95.6%1f
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
95.6%1f
Compiler

Compiled 21 to 17 computations (19% saved)

regimes9.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify45.0ms (0.2%)

Algorithm
egg-herbie
Rules
506×unsub-neg
358×neg-mul-1
172×distribute-neg-out
130×distribute-lft-neg-in
108×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061399
1113399
2166399
3202395
4231395
5256395
6272395
7465395
8871395
91077395
101079395
111082395
121087395
131094395
141098395
151099395
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)) 1/4)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/8) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 1/8) (PI.f64)))
(*.f64 (/.f64 (log.f64 1/8) (PI.f64)) (neg.f64 4))
Compiler

Compiled 118 to 98 computations (16.9% saved)

soundness2.6s (8.7%)

Rules
1344×times-frac
1344×times-frac
1344×times-frac
1344×times-frac
1314×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423777
14203549
216323244
065561
11141557
088920707
1216917514
036406
1504406
25013406
088920707
1216917514
020112
1310112
25551112
01423777
14203549
216323244
065561
11141557
036406
1504406
25013406
01423777
14203549
216323244
088920707
1216917514
036406
1504406
25013406
065561
11141557
036406
1504406
25013406
01423777
14203549
216323244
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1470 to 1088 computations (26% saved)

end0.0ms (0%)

preprocess139.0ms (0.5%)

Compiler

Compiled 296 to 218 computations (26.4% saved)

Profiling

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