Details

Time bar (total: 33.3s)

analyze416.0ms (1.2%)

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

Compiled 39 to 31 computations (20.5% saved)

sample19.6s (58.8%)

Results
9.5s7793×body8192exit
3.0s4077×body1024valid
2.5s4069×body1024invalid
1.5s7732×body256unsamplable
958.0ms2057×body512valid
800.0ms2003×body512invalid
722.0ms462×body2048valid
430.0ms1660×body256valid
205.0ms955×body256invalid
2.0msbody2048invalid
Bogosity

preprocess71.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 39 to 31 computations (20.5% saved)

simplify67.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

eval4.0ms (0%)

Compiler

Compiled 240 to 170 computations (29.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
4.6%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
4.6%
(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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 71 to 54 computations (23.9% saved)

localize110.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.6%
(*.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)))))
90.5%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 197 to 144 computations (26.9% saved)

series101.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
60.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
32.0ms
f
@-inf
(*.f64 (/.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))))

rewrite43.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify110.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

localize98.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
99.8%
(pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))
97.3%
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
90.5%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
Compiler

Compiled 146 to 94 computations (35.6% saved)

series105.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
35.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
29.0ms
f
@inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
22.0ms
f
@-inf
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
14.0ms
f
@inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
1.0ms
f
@0
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))

rewrite167.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021262
1455262
26119262
Stop Event
node limit
Counts
4 → 228
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))
(pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Outputs
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (*.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 -1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 -1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 f) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 1 f) (*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 1 f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 -1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (neg.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2)) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 f) -1/4)) (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))

simplify128.0ms (0.4%)

Algorithm
egg-herbie
Rules
290×+-commutative
176×*-commutative
132×fma-udef
108×sqr-pow
56×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061313384
1207013384
Stop Event
unsound
Counts
276 → 327
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
1
(+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (*.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 3) (pow.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
(*.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 1)
(*.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(*.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)))
(*.f64 (pow.f64 1 (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(exp.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))
(exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 f) -1/4)) (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
Outputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) -2) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192)))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) -2) f (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 (/.f64 -2 (PI.f64)) f)
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) (+.f64 (/.f64 (/.f64 -2 (PI.f64)) f) (*.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) (+.f64 (/.f64 (/.f64 -2 (PI.f64)) f) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)) (*.f64 f (+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) -2)) (*.f64 (PI.f64) -2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2))))))
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(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 4 (PI.f64))) -2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3))
(/.f64 -2 (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(/.f64 -2 (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(/.f64 -2 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(/.f64 -2 (PI.f64))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(/.f64 -2 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 1))
(/.f64 -2 (PI.f64))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 4 (PI.f64))) -2))

eval406.0ms (1.2%)

Compiler

Compiled 22050 to 14982 computations (32.1% saved)

prune93.0ms (0.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New43915454
Fresh000
Picked101
Done101
Total44115456
Accurracy
97.0%
Counts
456 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(/.f64 -2 (PI.f64))
4.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
95.8%
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.8%
(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)))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
4.6%
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 9))))
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)))) 8))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
Compiler

Compiled 856 to 672 computations (21.5% saved)

localize132.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
Compiler

Compiled 295 to 219 computations (25.8% saved)

series10.0ms (0%)

Counts
4 → 12
Calls

3 calls:

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

rewrite51.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031420
1672420
Stop Event
node limit
Counts
4 → 232
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
Outputs
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f

simplify63.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02302840
15942724
221282644
Stop Event
node limit
Counts
244 → 99
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 -1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 -15/4 (/.f64 (*.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 -3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 15/4 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 f 0)))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (*.f64 3/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (*.f64 f 0)))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))
(fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))
(+.f64 (*.f64 (log.f64 f) -5) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))))
(fma.f64 (log.f64 f) -5 (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (*.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 320 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 (log.f64 f) -5) (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 -320 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)))) (fma.f64 (log.f64 f) -5 (/.f64 (/.f64 -320 (*.f64 f f)) (pow.f64 (PI.f64) 2))))
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(-.f64 (+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 15/4 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 3/256 (/.f64 (*.f64 (+.f64 (*.f64 -320 (/.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (*.f64 603979776000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))) (*.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (+.f64 (*.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (*.f64 6291456000 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (*.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (*.f64 -61440 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 3))) (*.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 603979776000 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 1/2560 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) -61440)) (*.f64 5 (log.f64 (/.f64 -1 f)))))) (/.f64 320 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/720 (/.f64 (fma.f64 15/4 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3)) 4404019200)) (fma.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))))) (/.f64 -320 (*.f64 f (*.f64 f (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 1720320) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5))) (/.f64 -51200 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (/.f64 (fma.f64 1/720 (fma.f64 3/256 (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 11)) 603979776000 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) -1409286144000) (pow.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (PI.f64) 5)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 16515072000)) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -32768000/3 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (+.f64 (log.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)) -61440)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (/.f64 (/.f64 -320 (*.f64 f f)) (pow.f64 (PI.f64) 2))))))
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125

localize4.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize55.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.6%
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
Compiler

Compiled 69 to 49 computations (29% saved)

series158.0ms (0.5%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
92.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
60.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
7.0ms
f
@inf
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
0.0ms
f
@0
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
0.0ms
f
@-inf
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))

rewrite168.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1460×log-prod
1198×prod-diff
548×expm1-udef
544×log1p-udef
508×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01477
130759
2415359
Stop Event
node limit
Counts
3 → 325
Calls
Call 1
Inputs
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 1/2))) (sqrt.f64 (log.f64 1/2)) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (*.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)))
(+.f64 (log.f64 (/.f64 -2 (PI.f64))) (log.f64 -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (*.f64 (log.f64 1/2) 1))) (fma.f64 (log.f64 2) 1 (*.f64 (log.f64 1/2) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (*.f64 (log.f64 1/2) 1))) (fma.f64 (log.f64 2) 1 (*.f64 (log.f64 1/2) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (*.f64 (log.f64 1/2) 1))) (fma.f64 (log.f64 2) 1 (*.f64 (log.f64 1/2) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 (/.f64 -2 (PI.f64))) (log.f64 -1/2))
(-.f64 0 (log.f64 (*.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
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simplify358.0ms (1.1%)

Algorithm
egg-herbie
Rules
698×div-sub
584×log-prod
510×associate-+l+
508×associate-+r+
500×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079825521
1183021061
2631918845
Stop Event
node limit
Counts
349 → 472
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
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(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
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(fma.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (/.f64 1/2 (/.f64 1 f)))))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 1/2 f))))
(fma.f64 1 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (neg.f64 (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (/.f64 1/2 (/.f64 1 f)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 1/2 f))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (/.f64 1/2 (/.f64 1 f)))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 1/2 f))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
Outputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 1/2))) (sqrt.f64 (log.f64 1/2)) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 0 (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (*.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (log.f64 (*.f64 2 (cbrt.f64 (/.f64 2 (PI.f64))))))
(fma.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (*.f64 2 (cbrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 (/.f64 -2 (PI.f64))) (log.f64 -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (*.f64 (log.f64 1/2) 1))) (fma.f64 (log.f64 2) 1 (*.f64 (log.f64 1/2) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 1/2))) (fma.f64 (log.f64 2) 1 (log.f64 1/2)))
(+.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2)) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (*.f64 (cbrt.f64 (log.f64 1/2)) (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 1/2))) (+.f64 (neg.f64 (log.f64 1/2)) (log.f64 1/2)))
(+.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2)) (*.f64 0 (log.f64 1/2)))
(+.f64 (*.f64 0 (log.f64 1/2)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2)))
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(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (*.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (/.f64 1/2 (/.f64 1 f)))))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 1/2 f))))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (/.f64 1/2 (/.f64 1 f)))))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 (*.f64 1/2 f))))
(fma.f64 1 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 (*.f64 f 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))

localize92.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 (PI.f64) 1/2) f)
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
97.3%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
Compiler

Compiled 156 to 112 computations (28.2% saved)

series43.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
19.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
19.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))))
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))

rewrite68.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify133.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

localize118.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) f)
97.3%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
97.3%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
90.5%
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
Compiler

Compiled 216 to 142 computations (34.3% saved)

series102.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
75.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
23.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
1.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
1.0ms
f
@0
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
0.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))

rewrite50.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
494×add-sqr-sqrt
480×pow1
478×*-un-lft-identity
474×add-exp-log
470×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023172
1500172
Stop Event
node limit
Counts
4 → 91
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) f)
Outputs
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) -1)
(*.f64 -1 (log.f64 -64))
(*.f64 (log.f64 -64) -1)
(*.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) -1)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) -1))
(log1p.f64 -1)
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) -1)
(pow.f64 (*.f64 (PI.f64) f) -64)
(pow.f64 (*.f64 (PI.f64) f) -1)
(pow.f64 (*.f64 (PI.f64) f) 1/3)
(sqrt.f64 (*.f64 (PI.f64) f))
(fabs.f64 (*.f64 (PI.f64) f))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (PI.f64) f))
(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)))

simplify83.0ms (0.2%)

Algorithm
egg-herbie
Rules
1496×fma-def
1408×times-frac
740×distribute-rgt-in
738×distribute-lft-in
684×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02023629
15253385
218693125
Stop Event
node limit
Counts
139 → 128
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(/.f64 2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) -1)
(*.f64 -1 (log.f64 -64))
(*.f64 (log.f64 -64) -1)
(*.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) -1)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) -1))
(log1p.f64 -1)
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) -1)
(pow.f64 (*.f64 (PI.f64) f) -64)
(pow.f64 (*.f64 (PI.f64) f) -1)
(pow.f64 (*.f64 (PI.f64) f) 1/3)
(sqrt.f64 (*.f64 (PI.f64) f))
(fabs.f64 (*.f64 (PI.f64) f))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (PI.f64) f))
(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 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 (PI.f64) (*.f64 1/2 f))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (*.f64 f 1/2) (*.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192))
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(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(*.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))
(*.f64 (PI.f64) f)
(*.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))
(*.f64 (PI.f64) f)
(*.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))
(*.f64 (PI.f64) f)
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(*.f64 2 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(+.f64 (log.f64 -64) 64)
(-.f64 (log.f64 -64) (log.f64 -64))
0
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) -1)
(+.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (log.f64 -64))))
(*.f64 -1 (log.f64 -64))
(neg.f64 (log.f64 -64))
(*.f64 (log.f64 -64) -1)
(neg.f64 (log.f64 -64))
(*.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (log.f64 -64))
1
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) -1)
(/.f64 1 (log.f64 -64))
(pow.f64 (log.f64 -64) 1/3)
(cbrt.f64 (log.f64 -64))
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (log.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) -1))
(/.f64 1 (log.f64 -64))
(log1p.f64 -1)
-64
-16
-4
-2
-1/4
-1/64
-1/262144
0
1/262144
1/4096
1/256
1/64
1/16
1/8
1/4
1/2
3/2
2
4
8
16
64
256
4096
262144
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) -1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))))
(pow.f64 (*.f64 (PI.f64) f) -64)
(pow.f64 (*.f64 (PI.f64) f) -1)
(/.f64 1 (*.f64 (PI.f64) f))
(/.f64 (/.f64 1 (PI.f64)) f)
(pow.f64 (*.f64 (PI.f64) f) 1/3)
(cbrt.f64 (*.f64 (PI.f64) f))
(sqrt.f64 (*.f64 (PI.f64) f))
(fabs.f64 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.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 1 (*.f64 (PI.f64) f))
(/.f64 (/.f64 1 (PI.f64)) f)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)

eval612.0ms (1.8%)

Compiler

Compiled 27232 to 17474 computations (35.8% saved)

prune311.0ms (0.9%)

Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New83838876
Fresh5510
Picked011
Done224
Total84546891
Accurracy
99.9%
Counts
891 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(/.f64 -2 (PI.f64))
4.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
95.3%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))
4.6%
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
15.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
15.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
18.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
19.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
18.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
17.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
17.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
16.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
15.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
15.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
15.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
14.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
14.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
12.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
93.7%
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
94.9%
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
94.6%
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
93.6%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
94.6%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
93.7%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
3.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
93.9%
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
94.6%
(neg.f64 (*.f64 4 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))))
95.0%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
Compiler

Compiled 1428 to 1211 computations (15.2% saved)

localize96.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
98.4%
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
96.9%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 125 to 86 computations (31.2% saved)

series3.0ms (0%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
1.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
1.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
0.0ms
f
@-inf
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
0.0ms
f
@inf
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))

rewrite146.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1018×prod-diff
778×expm1-udef
772×log1p-udef
460×add-sqr-sqrt
440×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
1499144
25780144
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
Outputs
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
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(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
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(+.f64 (fma.f64 (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 f)))
(*.f64 1 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(*.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 f))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))) (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (-.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (*.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f)))) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))
(pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2))
(log.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48)) (/.f64 4 (PI.f64))) f))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 1 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))

simplify215.0ms (0.6%)

Algorithm
egg-herbie
Rules
1328×div-sub
1056×fma-neg
588×log-prod
548×times-frac
536×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043711991
1118611649
2525511649
Stop Event
node limit
Counts
181 → 208
Calls
Call 1
Inputs
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (log.f64 f) (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (+.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (-.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (*.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f)))) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))
(pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2))
(log.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48)) (/.f64 4 (PI.f64))) f))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 1 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (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))) (log.f64 f)) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64)))
(*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))) (*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (/.f64 (log.f64 -1) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))) (*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (/.f64 (log.f64 -1) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(+.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (*.f64 1/12 (*.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 -1) (PI.f64)))) (*.f64 1/12 (*.f64 (PI.f64) (*.f64 f f))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (/.f64 (log.f64 -1) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(*.f64 (*.f64 1/48 (*.f64 f f)) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(*.f64 (*.f64 1/48 (*.f64 f f)) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(fma.f64 1 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))

localize13.0ms (0%)

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize12.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81)
Compiler

Compiled 28 to 24 computations (14.3% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite58.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1798×pow1
1686×add-exp-log
1684×log1p-expm1-u
1684×expm1-log1p-u
1650×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
121215
2242115
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81)
Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 1 (PI.f64)) 324)) 1)
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) 81))
(/.f64 81 (*.f64 (PI.f64) 1/4))
(/.f64 -81 (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 81 (PI.f64)) 1/4)
(/.f64 (/.f64 81 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 81 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) 324)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3) 1/3)
(pow.f64 (/.f64 9 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) 2)
(sqrt.f64 (/.f64 6561 (*.f64 (pow.f64 (PI.f64) 2) 1/16)))
(log.f64 (pow.f64 (exp.f64 81) (/.f64 4 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))

simplify47.0ms (0.1%)

Algorithm
egg-herbie
Rules
1228×times-frac
1106×distribute-rgt-in
1100×log-prod
1096×distribute-lft-in
646×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061361
1136259
2390163
32395157
Stop Event
node limit
Counts
17 → 22
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (/.f64 1 (PI.f64)) 324)) 1)
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) 81))
(/.f64 81 (*.f64 (PI.f64) 1/4))
(/.f64 -81 (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 81 (PI.f64)) 1/4)
(/.f64 (/.f64 81 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 81 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) 324)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3) 1/3)
(pow.f64 (/.f64 9 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) 2)
(sqrt.f64 (/.f64 6561 (*.f64 (pow.f64 (PI.f64) 2) 1/16)))
(log.f64 (pow.f64 (exp.f64 81) (/.f64 4 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 1 (PI.f64)) 324)) 1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) 81))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 81 (*.f64 (PI.f64) 1/4))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 -81 (*.f64 (PI.f64) -1/4))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 (/.f64 81 (PI.f64)) 1/4)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 (/.f64 81 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(/.f64 (/.f64 81 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) 324)) 3)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (/.f64 9 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) 2)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(sqrt.f64 (/.f64 6561 (*.f64 (pow.f64 (PI.f64) 2) 1/16)))
(sqrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2)))
(fabs.f64 (/.f64 324 (PI.f64)))
(log.f64 (pow.f64 (exp.f64 81) (/.f64 4 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 324) 3))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (PI.f64)) 324)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))

localize23.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 43 to 28 computations (34.9% saved)

series1.0ms (0%)

Counts
2 → 20
Calls

6 calls:

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

rewrite93.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
125352
2333852
Stop Event
node limit
Counts
2 → 168
Calls
Call 1
Inputs
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
Outputs
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (*.f64 (*.f64 (PI.f64) 1/4) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (PI.f64) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (PI.f64) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (neg.f64 (PI.f64)) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 4) (*.f64 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (*.f64 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -4) (*.f64 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 4) (*.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (*.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 4 (PI.f64))) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 4 (PI.f64))) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

simplify115.0ms (0.3%)

Algorithm
egg-herbie
Rules
1092×distribute-lft-in
680×div-sub
648×unswap-sqr
584×fma-neg
496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04227518
110306910
234836898
Stop Event
node limit
Counts
188 → 212
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (*.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
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(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 4 (PI.f64))) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 f)) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (neg.f64 (log.f64 f)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) -1)
(pow.f64 (/.f64 (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) -1)
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (exp.f64 (neg.f64 (log.f64 f)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (/.f64 1 f)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 f))) (/.f64 4 (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 f))) (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1))))
(log.f64 (*.f64 (/.f64 1 f) (/.f64 4 (PI.f64))))
(log.f64 (*.f64 (/.f64 1 f) (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) f))
(log.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (+.f64 1 (-.f64 f 1))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) 1 (neg.f64 (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) 1 (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1 (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1 (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 1 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (neg.f64 (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1)))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (log.f64 f)) 1))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))

localize40.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 73 to 54 computations (26% saved)

series40.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
17.0ms
f
@-inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
10.0ms
f
@inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
10.0ms
f
@0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
1.0ms
f
@-inf
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))
1.0ms
f
@0
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))

rewrite111.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1316×log-prod
754×pow-prod-down
640×pow-prod-up
582×pow-exp
478×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01484
130184
2357584
Stop Event
node limit
Counts
4 → 250
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))
Outputs
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 0)
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log1p.f64 3) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))
(+.f64 (log1p.f64 3) (log.f64 (/.f64 1 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -2))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 1 (neg.f64 f))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -2))) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f))))
(+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (log.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 f) -2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f))))
(+.f64 (log.f64 (pow.f64 f -1/2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2))) 1)) (log.f64 (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2))) (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2))) (sqrt.f64 f))) (log.f64 (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f))))
(+.f64 (log.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1)) (log.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f)))
(+.f64 (log.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2))) (log.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f))))
(-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log1p.f64 3) (log.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (neg.f64 f)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 f (/.f64 2 (sqrt.f64 (PI.f64))))))
(-.f64 (log.f64 -4) (log.f64 (*.f64 (neg.f64 (PI.f64)) f)))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 -4) (log.f64 (*.f64 f (neg.f64 (PI.f64)))))
(-.f64 0 (log.f64 (*.f64 (/.f64 f 4) (PI.f64))))
(-.f64 0 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (/.f64 f 4) (PI.f64)) 1)))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (/.f64 f (cbrt.f64 (/.f64 4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
(-.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
(-.f64 (log.f64 (neg.f64 (/.f64 -4 (PI.f64)))) (log.f64 (neg.f64 (neg.f64 f))))
(-.f64 (log.f64 (*.f64 4 (/.f64 1 f))) (log.f64 (PI.f64)))
(-.f64 (log.f64 (*.f64 -4 (/.f64 1 f))) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(-.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 1)) (log.f64 f))
(-.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
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(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 5/6)) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -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 (/.f64 f 4) (PI.f64)) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64))) -1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
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(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))

simplify198.0ms (0.6%)

Algorithm
egg-herbie
Rules
936×log-prod
832×fma-neg
766×div-sub
434×associate-*r*
428×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06234294979580
114368908
247008694
Stop Event
node limit
Counts
298 → 350
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(/.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)))
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(/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
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(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 5)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6)) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 5/6)) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/6))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -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 (/.f64 f 4) (PI.f64)) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 f 4) (PI.f64)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64))) -1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
Outputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/3)
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(cbrt.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 1/3)
(cbrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(pow.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))) 3)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1/2)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) -1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))

eval523.0ms (1.6%)

Compiler

Compiled 19789 to 13388 computations (32.3% saved)

prune347.0ms (1%)

Pruning

51 alts after pruning (46 fresh and 5 done)

PrunedKeptTotal
New82119840
Fresh112738
Picked101
Done257
Total83551886
Accurracy
99.9%
Counts
886 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(/.f64 -2 (PI.f64))
4.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
95.9%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
95.1%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
17.1%
(neg.f64 (/.f64 324 (PI.f64)))
94.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
93.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
3.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))
4.6%
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
15.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
15.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
18.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
19.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
18.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
17.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
16.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
15.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
15.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
15.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
14.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
14.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
12.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
95.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
94.6%
(neg.f64 (*.f64 4 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))))
95.0%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
94.6%
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
75.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
93.9%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
17.1%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
93.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
Compiler

Compiled 1518 to 1281 computations (15.6% saved)

localize79.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.7%
(*.f64 1/12 (*.f64 f f))
99.6%
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 82 to 46 computations (43.9% saved)

series1.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
f
@0
(*.f64 1/12 (*.f64 f f))
0.0ms
f
@inf
(*.f64 1/12 (*.f64 f f))
0.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms
f
@inf
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))

rewrite183.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1530×log-prod
1180×prod-diff
564×expm1-udef
560×log1p-udef
532×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
132040
2419540
Stop Event
node limit
Counts
2 → 188
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 1/12 (*.f64 f f))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12)))) 1)
(pow.f64 (*.f64 f (*.f64 f 1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 f 1/12))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3) 1/3)
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 f 1/12)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12))))
(exp.f64 (log.f64 (*.f64 f (*.f64 f 1/12))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 f 1/12))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f 1/12))))

simplify212.0ms (0.6%)

Algorithm
egg-herbie
Rules
1078×associate-+r+
754×unswap-sqr
586×distribute-lft-in
564×distribute-rgt-in
446×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050019486
1116414586
237679526
Stop Event
node limit
Counts
208 → 266
Calls
Call 1
Inputs
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12)))) 1)
(pow.f64 (*.f64 f (*.f64 f 1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 f 1/12))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3) 1/3)
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 f 1/12)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12))))
(exp.f64 (log.f64 (*.f64 f (*.f64 f 1/12))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 f 1/12))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f 1/12))))
Outputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 f (*.f64 f 1/12))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (+.f64 0 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
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(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) 3))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64)))) (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))) (fma.f64 (/.f64 (neg.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))))
(+.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64))) (/.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 0 (/.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(-.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (*.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (-.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 0 (*.f64 f (*.f64 f 1/12)))
(*.f64 f (*.f64 f 1/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(*.f64 f (*.f64 f 1/12))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12)))) 1)
(*.f64 f (*.f64 f 1/12))
(pow.f64 (*.f64 f (*.f64 f 1/12)) 1)
(*.f64 f (*.f64 f 1/12))
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 f 1/12))) 3)
(*.f64 f (*.f64 f 1/12))
(pow.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3) 1/3)
(*.f64 f (*.f64 f 1/12))
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(*.f64 f (*.f64 f 1/12))
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(*.f64 f (*.f64 f 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 f 1/12)))))
(*.f64 f (*.f64 f 1/12))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 f 1/12)) 3))
(*.f64 f (*.f64 f 1/12))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 f 1/12))))
(*.f64 f (*.f64 f 1/12))
(exp.f64 (log.f64 (*.f64 f (*.f64 f 1/12))))
(*.f64 f (*.f64 f 1/12))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 f 1/12))) 1))
(*.f64 f (*.f64 f 1/12))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 f 1/12))))
(*.f64 f (*.f64 f 1/12))

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.4%
(/.f64 324 (PI.f64))
Compiler

Compiled 10 to 8 computations (20% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite91.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1162×pow1
1082×add-exp-log
1082×log1p-expm1-u
1082×expm1-log1p-u
1058×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11279
214789
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 324 (PI.f64))
Outputs
(-.f64 (+.f64 1 (/.f64 324 (PI.f64))) 1)
(*.f64 324 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 324 (PI.f64)) 1)
(*.f64 1 (/.f64 324 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 324 (PI.f64))) (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 324 (PI.f64))))
(*.f64 (/.f64 18 (sqrt.f64 (PI.f64))) (/.f64 18 (sqrt.f64 (PI.f64))))
(*.f64 -324 (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 324)
(pow.f64 (/.f64 324 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 324 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 324 (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 18 (sqrt.f64 (PI.f64))) 2)
(pow.f64 (*.f64 (PI.f64) 1/324) -1)
(sqrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 324 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 324 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 324 (PI.f64))))
(exp.f64 (log.f64 (/.f64 324 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 324 (PI.f64))))

simplify45.0ms (0.1%)

Algorithm
egg-herbie
Rules
1294×log-prod
1126×associate-/l*
742×associate-*r*
732×fma-def
666×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052418
1109304
2372190
32450184
Stop Event
node limit
Counts
20 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 324 (PI.f64))) 1)
(*.f64 324 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 324 (PI.f64)) 1)
(*.f64 1 (/.f64 324 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 324 (PI.f64))) (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 324 (PI.f64))))
(*.f64 (/.f64 18 (sqrt.f64 (PI.f64))) (/.f64 18 (sqrt.f64 (PI.f64))))
(*.f64 -324 (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 324)
(pow.f64 (/.f64 324 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 324 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 324 (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 18 (sqrt.f64 (PI.f64))) 2)
(pow.f64 (*.f64 (PI.f64) 1/324) -1)
(sqrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 324 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 324 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 324 (PI.f64))))
(exp.f64 (log.f64 (/.f64 324 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 324 (PI.f64))))
Outputs
(-.f64 (+.f64 1 (/.f64 324 (PI.f64))) 1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 324 (/.f64 1 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 (/.f64 324 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 1 (/.f64 324 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 324 (PI.f64))) (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 324 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 (/.f64 18 (sqrt.f64 (PI.f64))) (/.f64 18 (sqrt.f64 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 -324 (/.f64 1 (neg.f64 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) 324)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (/.f64 324 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 324 (PI.f64))) 3)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (pow.f64 (/.f64 324 (PI.f64)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (/.f64 18 (sqrt.f64 (PI.f64))) 2)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 1/324) -1)
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(sqrt.f64 (/.f64 104976 (pow.f64 (PI.f64) 2)))
(fabs.f64 (/.f64 324 (PI.f64)))
(log.f64 (exp.f64 (/.f64 324 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 324 (PI.f64)) 3))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 324 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(exp.f64 (log.f64 (/.f64 324 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 324 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 324 (PI.f64))) -1)
(+.f64 (/.f64 324 (PI.f64)) 0)
(/.f64 324 (PI.f64))

localize12.0ms (0%)

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize28.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 4 f))
99.7%
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
99.6%
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
Compiler

Compiled 52 to 33 computations (36.5% saved)

series52.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
31.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
14.0ms
f
@-inf
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
7.0ms
f
@inf
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
0.0ms
f
@0
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
0.0ms
f
@inf
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))

rewrite153.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1284×log-prod
1228×prod-diff
564×pow-exp
496×fma-def
478×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01257
126057
2357057
Stop Event
node limit
Counts
3 → 345
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(log.f64 (/.f64 4 f))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (neg.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(+.f64 0 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (PI.f64))))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 (PI.f64)) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (PI.f64)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) 1 (*.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)) 1)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (PI.f64)) (PI.f64)))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (log.f64 (PI.f64)) (cbrt.f64 (PI.f64)))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (/.f64 (log.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (log.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (log.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) 1) (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) 1))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 f)) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (PI.f64))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (PI.f64))) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 (PI.f64))) (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (PI.f64))) 1) (*.f64 (/.f64 (sqrt.f64 (log.f64 (PI.f64))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (PI.f64))) 1))))
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(*.f64 (log.f64 (/.f64 4 f)) 1)
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(*.f64 -1 (log.f64 (*.f64 f 1/4)))
(*.f64 1/3 (log.f64 (pow.f64 (/.f64 4 f) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 4) (log.f64 4) (fma.f64 (log.f64 f) (log.f64 f) (*.f64 (log.f64 4) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 f) (log.f64 f))) (log.f64 (*.f64 4 f)))
(pow.f64 (log.f64 (/.f64 4 f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) 2)
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(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 f))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 f)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 f)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 f)))) 2))
(log1p.f64 (-.f64 (/.f64 4 f) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))

simplify235.0ms (0.7%)

Algorithm
egg-herbie
Rules
696×log-prod
538×associate-+l+
532×associate-+r+
492×+-commutative
434×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083926067
1192820201
2681819207
Stop Event
node limit
Counts
381 → 486
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
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(fma.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
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(fma.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
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(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64))))))
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(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (log.f64 (PI.f64))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (log.f64 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
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(fma.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
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(fma.f64 (sqrt.f64 (log.f64 (PI.f64))) (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (log.f64 (/.f64 4 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (/.f64 4 f))) (neg.f64 (log.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (/.f64 4 f))) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (/.f64 1 (fma.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 f)) 2))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (log.f64 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (/.f64 1 (fma.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 f)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (/.f64 1 (fma.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 f)) 2))) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 f) (PI.f64)))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (log.f64 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 f) (PI.f64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 f) (PI.f64)))) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (log.f64 (PI.f64))))) (cbrt.f64 (neg.f64 (log.f64 (PI.f64)))) (log.f64 (/.f64 4 f)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 f (PI.f64)))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 (PI.f64)))) (log.f64 (/.f64 4 f)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (/.f64 4 f)))
(fma.f64 -1 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (log.f64 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (log.f64 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))) (log.f64 (/.f64 4 f)))
(+.f64 (log.f64 (/.f64 4 f)) 0)
(+.f64 (log.f64 (/.f64 4 f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 4) (neg.f64 (log.f64 f)))
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(+.f64 (log.f64 -4) (log.f64 (/.f64 1 (neg.f64 f))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 f))) (log.f64 (/.f64 2 (sqrt.f64 f))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 f)))) (log.f64 (cbrt.f64 (/.f64 4 f))))
(+.f64 0 (log.f64 (/.f64 4 f)))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 4))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(-.f64 (log.f64 4) (log.f64 f))
(-.f64 (log.f64 4) (log.f64 (neg.f64 (neg.f64 f))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 f)))
(-.f64 0 (log.f64 (*.f64 f 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 f 1/4) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 f)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 f 1/4))))
(-.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))
(-.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
(*.f64 (log.f64 (/.f64 4 f)) 1)
(*.f64 1 (log.f64 (/.f64 4 f)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 2) (cbrt.f64 (log.f64 (/.f64 4 f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (/.f64 4 f))))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 f))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 f))))
(*.f64 -1 (log.f64 (*.f64 f 1/4)))
(*.f64 1/3 (log.f64 (pow.f64 (/.f64 4 f) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 4) (log.f64 4) (fma.f64 (log.f64 f) (log.f64 f) (*.f64 (log.f64 4) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 f) (log.f64 f))) (log.f64 (*.f64 4 f)))
(pow.f64 (log.f64 (/.f64 4 f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) 2)
(neg.f64 (log.f64 (*.f64 f 1/4)))
(neg.f64 (log.f64 (/.f64 (*.f64 f 1/4) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 f))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 f)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 f)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 f)))) 2))
(log1p.f64 (-.f64 (/.f64 4 f) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))
Outputs
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 4) (*.f64 -1 (log.f64 f))) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 -4)) (log.f64 (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 f)) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 f)) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 f)) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 f)) (*.f64 (log.f64 f) 0))
(-.f64 (log.f64 4) (log.f64 f))
(log.f64 (/.f64 4 f))
(-.f64 (log.f64 4) (log.f64 (neg.f64 (neg.f64 f))))
(log.f64 (/.f64 4 f))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 f)))
(log.f64 (/.f64 4 f))
(-.f64 0 (log.f64 (*.f64 f 1/4)))
(log.f64 (/.f64 4 f))
(-.f64 0 (log.f64 (/.f64 (*.f64 f 1/4) 1)))
(log.f64 (/.f64 4 f))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 f)))) 1)
(log.f64 (/.f64 4 f))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 f 1/4))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 f -1/4)))
(-.f64 (log.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))
(-.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
(*.f64 (log.f64 (/.f64 4 f)) 1)
(log.f64 (/.f64 4 f))
(*.f64 1 (log.f64 (/.f64 4 f)))
(log.f64 (/.f64 4 f))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 2))
(log.f64 (/.f64 4 f))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 2) (cbrt.f64 (log.f64 (/.f64 4 f))))
(log.f64 (/.f64 4 f))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (/.f64 4 f))))
(log.f64 (/.f64 4 f))
(*.f64 2 (log.f64 (/.f64 2 (sqrt.f64 f))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 f))))
(*.f64 -1 (log.f64 (*.f64 f 1/4)))
(log.f64 (/.f64 4 f))
(*.f64 1/3 (log.f64 (pow.f64 (/.f64 4 f) 3)))
(log.f64 (/.f64 4 f))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 4) (log.f64 4) (fma.f64 (log.f64 f) (log.f64 f) (*.f64 (log.f64 4) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 4) (log.f64 4) (*.f64 (log.f64 f) (log.f64 (*.f64 4 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 f) (log.f64 f))) (log.f64 (*.f64 4 f)))
(/.f64 (*.f64 (log.f64 (*.f64 4 f)) (log.f64 (/.f64 4 f))) (log.f64 (*.f64 4 f)))
(/.f64 (log.f64 (*.f64 4 f)) (/.f64 (log.f64 (*.f64 4 f)) (log.f64 (/.f64 4 f))))
(pow.f64 (log.f64 (/.f64 4 f)) 1)
(log.f64 (/.f64 4 f))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 3)
(log.f64 (/.f64 4 f))
(pow.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) 1/3)
(log.f64 (/.f64 4 f))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) 2)
(log.f64 (/.f64 4 f))
(neg.f64 (log.f64 (*.f64 f 1/4)))
(log.f64 (/.f64 4 f))
(neg.f64 (log.f64 (/.f64 (*.f64 f 1/4) 1)))
(log.f64 (/.f64 4 f))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2))
(fabs.f64 (log.f64 (/.f64 4 f)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3))
(log.f64 (/.f64 4 f))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 f))))
(log.f64 (/.f64 4 f))
(exp.f64 (log.f64 (log.f64 (/.f64 4 f))))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 1) 1))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 4 f)))) 3))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 4 f)))) 1/3))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 f))) 3) 1/3))
(log.f64 (/.f64 4 f))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 4 f)))) 2))
(log.f64 (/.f64 4 f))
(log1p.f64 (-.f64 (/.f64 4 f) 1))
(log1p.f64 (+.f64 (/.f64 4 f) -1))
(log.f64 (+.f64 (/.f64 4 f) 0))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 f)))
(log.f64 (/.f64 4 f))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))
(log.f64 (/.f64 4 f))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 f)))
(log.f64 (/.f64 4 f))

localize36.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.6%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
99.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
98.8%
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
Compiler

Compiled 75 to 46 computations (38.7% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
f
@0
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
1.0ms
f
@-inf
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
1.0ms
f
@inf
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
0.0ms
f
@0
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
0.0ms
f
@inf
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))

rewrite127.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1262×log-prod
756×pow-prod-down
640×pow-prod-up
610×pow-exp
470×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014102
1298102
23476102
Stop Event
node limit
Counts
4 → 202
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
Outputs
(+.f64 0 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))) 1)
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2)))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 5/2))
(*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) -3))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3/2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3/2))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 5/2) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(/.f64 1 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 3) (pow.f64 (neg.f64 (PI.f64)) 3))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (neg.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2)) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2)) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify112.0ms (0.3%)

Algorithm
egg-herbie
Rules
1282×distribute-lft-in
1056×fma-def
822×unswap-sqr
558×div-sub
544×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03799242
18347934
225667910
Stop Event
node limit
Counts
250 → 207
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
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(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1) 1))
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3/2) 2/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -6) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 9) 1/9)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3/2) 2/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(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 (*.f64 (PI.f64) f) 1/4) -3))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
Outputs
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
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(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -3))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) f) 1/4) -3)) 1/3))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) 2))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) -1))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))

eval1.0s (3.1%)

Compiler

Compiled 38176 to 21446 computations (43.8% saved)

prune641.0ms (1.9%)

Pruning

52 alts after pruning (42 fresh and 10 done)

PrunedKeptTotal
New117051175
Fresh43741
Picked011
Done099
Total1174521226
Accurracy
99.9%
Counts
1226 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(/.f64 -2 (PI.f64))
4.3%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
4.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
94.4%
(neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
95.9%
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
95.8%
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
95.6%
(neg.f64 (fma.f64 4 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
94.6%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
95.1%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
17.1%
(neg.f64 (/.f64 324 (PI.f64)))
94.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
94.9%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
3.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))
4.6%
(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 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
15.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
15.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
18.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
19.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
18.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
17.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
16.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
15.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
15.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
15.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
15.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
14.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
14.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
14.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
12.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
5.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
95.8%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
94.9%
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
95.0%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
95.0%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
93.9%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
94.6%
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
75.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
93.9%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
17.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
93.7%
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
Compiler

Compiled 839 to 701 computations (16.4% saved)

regimes401.0ms (1.2%)

Counts
79 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 9))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 4 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))))
(neg.f64 (fma.f64 4 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (*.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

6 calls:

114.0ms
f
113.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
49.0ms
(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))))))
36.0ms
(/.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)))))
28.0ms
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Results
AccuracySegmentsBranch
98.6%2f
98.6%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
98.6%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.6%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.6%2(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
98.6%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1459 to 1081 computations (25.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.683593542955427
729.1908017319322
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes346.0ms (1%)

Counts
77 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 f f) 1/8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 8))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 9))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1/48) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (fma.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 4 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))))
(neg.f64 (fma.f64 4 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (fma.f64 2 (fma.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 1/16 (*.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (PI.f64)) (*.f64 f f) 0) (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Outputs
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

6 calls:

98.0ms
f
66.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
52.0ms
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
31.0ms
(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))))))
15.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
98.5%2f
98.5%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
98.5%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.5%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.5%2(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
98.5%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1370 to 1017 computations (25.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 42 to 34 computations (19% saved)

regimes86.0ms (0.3%)

Counts
57 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

50.0ms
f
Results
AccuracySegmentsBranch
98.5%2f
Compiler

Compiled 658 to 502 computations (23.7% saved)

bsearch105.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
104.0ms
3.41685742088679
928.4345644222336
Results
51.0ms64×body1024valid
29.0ms16×body256valid
23.0ms48×body512valid
Compiler

Compiled 306 to 257 computations (16% saved)

regimes81.0ms (0.2%)

Counts
56 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
Outputs
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

51.0ms
f
Results
AccuracySegmentsBranch
98.5%2f
Compiler

Compiled 637 to 488 computations (23.4% saved)

bsearch106.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
106.0ms
3.41685742088679
928.4345644222336
Results
52.0ms64×body1024valid
28.0ms16×body256valid
24.0ms48×body512valid
Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes122.0ms (0.4%)

Counts
55 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) (*.f64 (*.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log1p.f64 3) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

94.0ms
f
Results
AccuracySegmentsBranch
97.8%2f
Compiler

Compiled 619 to 477 computations (22.9% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
0.2048933749206329
2.7111945800749377
Results
22.0ms96×body256valid
Compiler

Compiled 210 to 189 computations (10% saved)

regimes90.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

79.0ms
f
Results
AccuracySegmentsBranch
97.8%2f
Compiler

Compiled 378 to 301 computations (20.4% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
0.2048933749206329
2.7111945800749377
Results
22.0ms96×body256valid
Compiler

Compiled 198 to 177 computations (10.6% saved)

regimes53.0ms (0.2%)

Counts
36 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log1p.f64 3) (log.f64 (*.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)))
(neg.f64 (*.f64 4 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2))) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

44.0ms
f
Results
AccuracySegmentsBranch
97.8%2f
Compiler

Compiled 350 to 280 computations (20% saved)

bsearch65.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
65.0ms
0.2048933749206329
2.7111945800749377
Results
64.0ms96×body256valid
Compiler

Compiled 180 to 159 computations (11.7% saved)

regimes26.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 729))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (exp.f64 (log.f64 (/.f64 324 (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 1 (PI.f64)) 324))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

20.0ms
f
Results
AccuracySegmentsBranch
21.9%2f
Compiler

Compiled 162 to 141 computations (13% saved)

bsearch93.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
92.0ms
3.41685742088679
928.4345644222336
Results
63.0ms64×body1024valid
24.0ms48×body512valid
4.0ms16×body256valid
Compiler

Compiled 202 to 193 computations (4.5% saved)

regimes19.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

16.0ms
f
Results
AccuracySegmentsBranch
21.6%2f
Compiler

Compiled 114 to 99 computations (13.2% saved)

bsearch82.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
81.0ms
3.41685742088679
928.4345644222336
Results
53.0ms64×body1024valid
23.0ms48×body512valid
4.0ms16×body256valid
Compiler

Compiled 202 to 193 computations (4.5% saved)

regimes20.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

16.0ms
f
Results
AccuracySegmentsBranch
20.4%2f
Compiler

Compiled 106 to 92 computations (13.2% saved)

bsearch84.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
83.0ms
3.41685742088679
928.4345644222336
Results
53.0ms64×body1024valid
23.0ms48×body512valid
4.0ms16×body256valid
Compiler

Compiled 202 to 193 computations (4.5% saved)

regimes18.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1/64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 10))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125/8))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 25))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 27))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 81))
Outputs
(neg.f64 (/.f64 324 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
Calls

1 calls:

15.0ms
f
Results
AccuracySegmentsBranch
19.8%2f
Compiler

Compiled 98 to 85 computations (13.3% saved)

bsearch90.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
90.0ms
3.41685742088679
928.4345644222336
Results
57.0ms64×body1024valid
27.0ms48×body512valid
4.0ms16×body256valid
Compiler

Compiled 170 to 161 computations (5.3% saved)

regimes4.0ms (0%)

Accuracy

Total -2.3b remaining (-4.4%)

Threshold costs -2.3b (-4.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (/.f64 324 (PI.f64)))
Outputs
(neg.f64 (/.f64 324 (PI.f64)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
17.1%1f
Compiler

Compiled 10 to 8 computations (20% saved)

simplify44.0ms (0.1%)

Algorithm
egg-herbie
Rules
158×distribute-lft-neg-in
130×neg-mul-1
128×*-commutative
116×neg-sub0
102×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261073
12231069
23391025
34251001
45041001
55491001
65861001
76561001
87021001
97061001
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.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))))) +inf.0) (neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 225) (neg.f64 (/.f64 324 (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(neg.f64 (/.f64 324 (PI.f64)))
(/.f64 -2 (PI.f64))
Outputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 5) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.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))))) +inf.0) (neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) +inf.0) (neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) +inf.0) (neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (neg.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/48 (*.f64 f f))) (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (*.f64 (neg.f64 4) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 f f) 1/48)) (log.f64 (*.f64 (PI.f64) (/.f64 f 4)))) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 f f) 1/48)) (log.f64 (*.f64 (PI.f64) (/.f64 f 4)))) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 f f) 1/48)) (log.f64 (*.f64 (PI.f64) (/.f64 f 4)))) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (*.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f 4))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 f f) 1/48))) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (*.f64 (PI.f64) (*.f64 1/12 (*.f64 f f))))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 4 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 4 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 4 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 4 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5854679515581645/4503599627370496) (neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 625)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 625)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 625)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (*.f64 625 (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 256)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 256)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 256)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (*.f64 256 (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 125)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 125)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 222) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 125)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 222) (*.f64 125 (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 225) (neg.f64 (/.f64 324 (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0)))
(if (<=.f64 f 225) (/.f64 (neg.f64 324) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (/.f64 (neg.f64 324) (PI.f64)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (/.f64 324 (PI.f64)))
(/.f64 (neg.f64 324) (PI.f64))
(/.f64 -2 (PI.f64))
Compiler

Compiled 338 to 276 computations (18.3% saved)

soundness2.0s (5.9%)

Rules
1798×pow1
1686×add-exp-log
1684×log1p-expm1-u
1684×expm1-log1p-u
1650×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01493510
14323242
216832942
031420
1672420
020127
152121
2127117
3334109
4987109
52558109
66093109
021262
1455262
26119262
061313384
1207013384
031420
1672420
01015
121215
2242115
061361
1136259
2390163
32395157
031420
1672420
031420
1672420
031420
1672420
01493510
14323242
216832942
01477
130759
2415359
02302840
15942724
221282644
043711991
1118611649
2525511649
050019486
1116414586
237679526
024144
1499144
25780144
043711991
1118611649
2525511649
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
node limit
Compiler

Compiled 2353 to 1752 computations (25.5% saved)

end166.0ms (0.5%)

Compiler

Compiled 326 to 248 computations (23.9% saved)

Profiling

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