VandenBroeck and Keller, Equation (20)

Time bar (total: 56.6s)

analyze775.0ms (1.4%)

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

Compiled 39 to 31 computations (20.5% saved)

sample24.2s (42.8%)

Results
11.2s7760×body8192exit
3.5s4010×body1024valid
3.2s4017×body1024invalid
2.0s7862×body256unsamplable
1.3s2015×body512invalid
1.2s2048×body512valid
811.0ms542×body2048valid
732.0ms1656×body256valid
260.0ms998×body256invalid
1.0msbody2048invalid
Bogosity

preprocess57.0ms (0.1%)

Algorithm
egg-herbie
Rules
1436×times-frac
1336×fma-def
954×associate-/r*
602×associate-*r/
586×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031397
191363
2240327
3720327
42345327
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (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) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 38 to 30 computations (21.1% saved)

eval3.0ms (0%)

Compiler

Compiled 169 to 114 computations (32.5% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
7.9%
(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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
7.9%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
7.9%
(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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 142 to 108 computations (23.9% saved)

localize2.9s (5.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.2%
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
98.8%
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
98.0%
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
12.0%
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
99.2%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.8%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
98.0%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
12.0%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 342 to 236 computations (31% saved)

series309.0ms (0.5%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
124.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
58.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
34.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
24.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
24.0ms
f
@inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))

rewrite95.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
656×add-sqr-sqrt
644×pow1
642×*-un-lft-identity
620×add-exp-log
616×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031200
1686200
Stop Event
node limit
Counts
8 → 248
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)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 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 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
Outputs
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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

simplify165.0ms (0.3%)

Algorithm
egg-herbie
Rules
1862×fma-def
1378×times-frac
936×distribute-lft-in
930×distribute-rgt-in
830×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01869248
15438488
220647892
Stop Event
node limit
Counts
344 → 104
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
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(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))) (+.f64 (*.f64 1/2 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(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)))))))
(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)))))))
(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)))))))
(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)))))))
(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)))))))
(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)))))))
(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)))))))
(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 (/.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 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
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 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
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(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) -4) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) -4) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) -4) (PI.f64))
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval293.0ms (0.5%)

Compiler

Compiled 4934 to 3728 computations (24.4% saved)

prune142.0ms (0.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9014104
Fresh000
Picked202
Done000
Total9214106
Accuracy
97.4%
Counts
106 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
7.9%
(*.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)))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.7%
(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)))) 4))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
95.6%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
7.9%
(*.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)))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
95.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.7%
(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)))) 4))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
Compiler

Compiled 1560 to 1244 computations (20.3% saved)

localize2.0s (3.6%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.4%
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
98.4%
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
100.0%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
98.5%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
99.6%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.5%
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
99.5%
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
99.6%
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
99.6%
(*.f64 (PI.f64) (*.f64 f 1/2))
99.5%
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
99.2%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
98.4%
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
Compiler

Compiled 745 to 557 computations (25.2% saved)

series707.0ms (1.2%)

Counts
20 → 132
Calls

33 calls:

TimeVariablePointExpression
306.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
190.0ms
f
@0
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
69.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
53.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
23.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))

rewrite314.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
914×add-sqr-sqrt
888×pow1
880×*-un-lft-identity
874×add-exp-log
864×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046426
11015426
Stop Event
node limit
Counts
20 → 181
Calls
Call 1
Inputs
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1)))
Outputs
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) (*.f64 (PI.f64) (*.f64 1/2 f))) (*.f64 (PI.f64) (*.f64 1/2 f))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(+.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) 1)
(log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/48) -2) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(*.f64 1 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))

simplify395.0ms (0.7%)

Algorithm
egg-herbie
Rules
938×associate-*r*
864×associate-*l*
776×log-prod
724×exp-prod
554×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04358171
19437421
255197421
Stop Event
node limit
Counts
313 → 241
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (*.f64 1/262144 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
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1
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(exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))
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(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/48) -2) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(*.f64 1 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 4 (*.f64 f (PI.f64)))
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(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 (*.f64 (PI.f64) 1/2) f)
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(*.f64 (*.f64 (PI.f64) 1/2) f)
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) 1)
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/262144)))
(log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (PI.f64) (/.f64 4 f))
(*.f64 (/.f64 (PI.f64) 4) f)
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) (*.f64 (*.f64 (PI.f64) 1/4) f)) (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 1/4 f) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(*.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(*.f64 (PI.f64) 1/48)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 1/48) (*.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 (*.f64 (PI.f64) 1/48) -2) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(*.f64 1 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))))) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) 1)
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))) (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))

eval781.0ms (1.4%)

Compiler

Compiled 9955 to 7711 computations (22.5% saved)

prune343.0ms (0.6%)

Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New29732329
Fresh369
Picked505
Done000
Total30538343
Accuracy
97.7%
Counts
343 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(*.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)))
1.6%
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
95.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
94.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
93.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.9%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
89.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.0%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
1.7%
(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)))) 4))))
6.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
3.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
0.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
93.7%
(neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
94.6%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
95.6%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
74.5%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
93.9%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
7.9%
(*.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)))
1.6%
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
95.2%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
94.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
93.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.9%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
89.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.0%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
94.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
1.7%
(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)))) 4))))
6.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
3.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
0.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
93.7%
(neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
94.6%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
95.6%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
74.5%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
93.9%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 3436 to 2836 computations (17.5% saved)

localize13.1s (23.1%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (PI.f64) (*.f64 1/2 f))
100.0%
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
100.0%
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
6.5%
(PI.f64)
100.0%
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
99.9%
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
98.1%
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
6.5%
(PI.f64)
100.0%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
99.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
6.5%
(PI.f64)
99.9%
(/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64))
6.5%
(PI.f64)
99.9%
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
99.9%
(*.f64 (PI.f64) -1/24)
99.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
6.5%
(PI.f64)
Compiler

Compiled 492 to 364 computations (26% saved)

series3.0ms (0%)

Counts
15 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
f
@inf
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
0.0ms
f
@-inf
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
0.0ms
f
@-inf
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
0.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
0.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))

rewrite113.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
700×add-sqr-sqrt
678×pow1
672×*-un-lft-identity
668×add-exp-log
658×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036235
1753229
Stop Event
node limit
Counts
15 → 392
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (PI.f64) -1/24)
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(PI.f64)
(/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64))
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(PI.f64)
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(PI.f64)
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))
(*.f64 (PI.f64) (*.f64 1/2 f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2))
(log.f64 (pow.f64 (exp.f64 -1/24) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(*.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(/.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2)) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2))) (neg.f64 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
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(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))
(log.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 1/2 f) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))

simplify161.0ms (0.3%)

Algorithm
egg-herbie
Rules
1770×log-prod
848×fma-neg
818×associate-*r*
776×associate-*l*
684×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060810832
1155910170
2723910170
Stop Event
node limit
Counts
476 → 330
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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (/.f64 4 (*.f64 f (PI.f64))))
1
(+.f64 1 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))))
1
(+.f64 1 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 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)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 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 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2))
(log.f64 (pow.f64 (exp.f64 -1/24) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(*.f64 1 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(*.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(*.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(/.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2)) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (*.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2))) (neg.f64 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1/16 (PI.f64)) 3) 8) (*.f64 -1/13824 (pow.f64 (PI.f64) 3))) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2) (*.f64 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24)))))
(pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(exp.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))))
(fma.f64 (PI.f64) -1/24 (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 -1/24 (PI.f64) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))
(fma.f64 (*.f64 (PI.f64) 2) 1/16 (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 1 (*.f64 1/16 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) -1/24))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 2)) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 (PI.f64) 2))) 2) (cbrt.f64 (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (*.f64 1/4 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 1/4 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (PI.f64) -1/24))
(fma.f64 (*.f64 1/16 (PI.f64)) 2 (*.f64 (PI.f64) -1/24))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))) 1)
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072))))
(*.f64 (log.f64 1/295147905179352825856) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(*.f64 (log.f64 295147905179352825856) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 1/131072) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 1/131072) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 1/131072) (sqrt.f64 (PI.f64))) (/.f64 4 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 1/131072) 1) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 1/295147905179352825856) (cbrt.f64 (PI.f64))))
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(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 1 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 (*.f64 1/2 f)))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))) (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 -2 (/.f64 1 (neg.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 1 f) (*.f64 (/.f64 2 (PI.f64)) 2))
(*.f64 (/.f64 2 f) (/.f64 (/.f64 1 (PI.f64)) 1/2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1/2) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (sqrt.f64 (*.f64 1/2 f))) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (cbrt.f64 (*.f64 1/2 f))))
(pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(pow.f64 (E.f64) (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))
(log.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 1/2 f) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(+.f64 0 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))) (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))
(-.f64 0 (log.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) 1)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 2)
(pow.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 3) 1/3)
(neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 2))
(fabs.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))
(log.f64 (+.f64 1 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(exp.f64 (log.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) 2))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 1))
(log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))
(+.f64 0 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 1)
(*.f64 2 (/.f64 1 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 2 (/.f64 (/.f64 1 (PI.f64)) (*.f64 1/2 f)))
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 1 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 (*.f64 1/2 f)))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))) (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 -2 (/.f64 1 (neg.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (/.f64 1 f) (*.f64 (/.f64 2 (PI.f64)) 2))
(*.f64 (/.f64 2 f) (/.f64 (/.f64 1 (PI.f64)) 1/2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1/2) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (sqrt.f64 (*.f64 1/2 f))) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (cbrt.f64 (*.f64 1/2 f))))
(pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(pow.f64 (E.f64) (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))
(log.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 1/2 f) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 (/.f64 2 f) (/.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))) (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 f 1/2)) (PI.f64))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 f 1/2))) (sqrt.f64 (*.f64 f 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))) (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 1/2 f))) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 f 1/2)) (PI.f64))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 f 1/2))) (sqrt.f64 (*.f64 f 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1/2) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) f))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) (sqrt.f64 (*.f64 1/2 f))) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) (sqrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 f 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 f 1/2)) (PI.f64))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (*.f64 f 1/2))) (sqrt.f64 (*.f64 f 1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (*.f64 1/2 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) f) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/2))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/2 f)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (cbrt.f64 (*.f64 1/2 f))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (*.f64 f 1/2))) (pow.f64 (cbrt.f64 (*.f64 f 1/2)) 2))
(pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (E.f64) (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 2)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1/2) -1)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 2)))
(log.f64 (exp.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 1/2 f) 3)))
(cbrt.f64 (/.f64 (/.f64 8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 f 3))))
(cbrt.f64 (/.f64 8 (*.f64 1/8 (pow.f64 (*.f64 (PI.f64) f) 3))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) 1))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 f) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))) 1)
(*.f64 (PI.f64) (*.f64 f 1/2))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 1)
(*.f64 (PI.f64) (*.f64 f 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 3)
(*.f64 (PI.f64) (*.f64 f 1/2))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3) 1/3)
(*.f64 (PI.f64) (*.f64 f 1/2))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 2)
(*.f64 (PI.f64) (*.f64 f 1/2))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 2))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 2))
(fabs.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (sqrt.f64 (exp.f64 f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f)))))
(*.f64 (PI.f64) (*.f64 f 1/2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 f)) 3))
(*.f64 (PI.f64) (*.f64 f 1/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 1/2 f) 3)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (*.f64 f 1/2))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (PI.f64) (*.f64 f 1/2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (PI.f64) (*.f64 f 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))) 1))
(*.f64 (PI.f64) (*.f64 f 1/2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))
(*.f64 (PI.f64) (*.f64 f 1/2))

eval458.0ms (0.8%)

Compiler

Compiled 18160 to 13953 computations (23.2% saved)

prune322.0ms (0.6%)

Pruning

44 alts after pruning (44 fresh and 0 done)

PrunedKeptTotal
New64725672
Fresh141933
Picked505
Done000
Total66644710
Accuracy
97.7%
Counts
710 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(*.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)))
93.5%
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3))
94.7%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
1.6%
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
93.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.9%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
89.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.0%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
1.7%
(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)))) 4))))
6.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
3.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
94.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
95.6%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
95.2%
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4) 2)))
74.5%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
1.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
74.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f) (*.f64 (/.f64 1 (PI.f64)) 4))))
15.4%
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
95.1%
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
93.9%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
94.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
7.9%
(*.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)))
93.5%
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3))
94.7%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
1.6%
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
93.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.9%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
89.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.0%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
1.7%
(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)))) 4))))
6.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
3.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
94.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
95.6%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
95.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
95.2%
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4) 2)))
74.5%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
1.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
74.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f) (*.f64 (/.f64 1 (PI.f64)) 4))))
15.4%
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
95.1%
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
93.9%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
94.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 3396 to 2840 computations (16.4% saved)

localize1.1s (1.9%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))
99.0%
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)
97.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3)
97.4%
(PI.f64)
99.4%
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))
97.4%
(PI.f64)
93.4%
(expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))
78.8%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))))
99.6%
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
99.4%
(/.f64 (/.f64 4 f) (PI.f64))
99.2%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
97.4%
(PI.f64)
98.5%
(/.f64 (log.f64 1/295147905179352825856) (PI.f64))
97.4%
(PI.f64)
98.5%
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2)))
98.5%
(*.f64 (PI.f64) -1/24)
97.4%
(PI.f64)
97.0%
(log.f64 (/.f64 4 (PI.f64)))
Compiler

Compiled 421 to 303 computations (28% saved)

series38.0ms (0.1%)

Counts
11 → 108
Calls

27 calls:

TimeVariablePointExpression
10.0ms
f
@0
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3)
9.0ms
f
@-inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3)
8.0ms
f
@inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3)
1.0ms
f
@-inf
(expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))
1.0ms
f
@inf
(expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))

rewrite293.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
548×add-sqr-sqrt
534×add-exp-log
532×pow1
530×log1p-expm1-u
528×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030301
1634299
27695299
Stop Event
node limit
Counts
11 → 576
Calls
Call 1
Inputs
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (log.f64 1/295147905179352825856) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)
(/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))
Outputs
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 0 (log.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)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (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 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (log.f64 (PI.f64)) 1))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) 1 (*.f64 (log.f64 (PI.f64)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 (PI.f64))) (cbrt.f64 (log.f64 (PI.f64)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (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 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.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))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (*.f64 (log.f64 4) (log.f64 4)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))) 1)
(*.f64 (log.f64 1/295147905179352825856) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
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(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4))
(*.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
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(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
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(*.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)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (*.f64 (PI.f64) 1/4))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
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(pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 6) 1/6)
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(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))

simplify406.0ms (0.7%)

Algorithm
egg-herbie
Rules
956×associate-*r*
928×associate-*l*
842×associate-/l*
624×times-frac
622×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080624128
1203523396
Stop Event
node limit
Counts
684 → 463
Calls
Call 1
Inputs
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(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(/.f64 1 (pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3))
(/.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/64)
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)) (neg.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) 1) (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1/4)
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2)) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2)) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2)) 1/4)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 2 (*.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 2 (PI.f64)) (*.f64 2 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(*.f64 1 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4))
(*.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4)
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/4) (/.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) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (*.f64 (PI.f64) 1/4))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4) (/.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)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 2 (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))) 2)
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
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(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4)
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2)))
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))) 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))) 3/2)) (cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))) 3/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.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) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.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) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.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 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(*.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (*.f64 (PI.f64) 1/4))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.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)))) (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 2))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 2 (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))) 2)
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 3)
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2)
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/4)) -1)
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) -1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(fabs.f64 (*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (*.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 1))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(*.f64 -4 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

eval1.9s (3.3%)

Compiler

Compiled 39382 to 28196 computations (28.4% saved)

prune542.0ms (1%)

Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New1598101608
Fresh73239
Picked325
Done000
Total1608441652
Accuracy
97.7%
Counts
1652 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(*.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)))
93.9%
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
94.7%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
93.8%
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
1.6%
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
95.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
7.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
95.0%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
93.9%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.9%
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
89.2%
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
94.0%
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
95.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
95.1%
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
95.5%
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
95.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
93.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
95.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
95.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
96.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
7.9%
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
1.7%
(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)))) 4))))
6.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
94.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
95.6%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
74.5%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
74.6%
(neg.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
1.6%
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
95.2%
(neg.f64 (fabs.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)))
15.4%
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
95.2%
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))))
95.4%
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))))
95.1%
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))))
74.6%
(neg.f64 (fabs.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
94.0%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
93.9%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
94.7%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 2404 to 1895 computations (21.2% saved)

regimes164.0ms (0.3%)

Counts
83 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(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 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (fabs.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f) (*.f64 (/.f64 1 (PI.f64)) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (fabs.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))))
(neg.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4) 2)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
(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)))) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 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 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.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 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(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 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 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)))) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
Calls

6 calls:

40.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
39.0ms
f
12.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
11.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
11.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
96.2%1f
96.2%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
96.2%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
96.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
96.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
96.2%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1741 to 1332 computations (23.5% saved)

regimes106.0ms (0.2%)

Counts
71 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(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 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (fabs.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f) (*.f64 (/.f64 1 (PI.f64)) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (fabs.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))))
(neg.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4) 2)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
(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)))) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 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 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (fma.f64 (*.f64 (*.f64 1/32 f) f) (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
Calls

2 calls:

38.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
35.0ms
f
Results
AccuracySegmentsBranch
95.8%1f
95.8%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1164 to 908 computations (22% saved)

regimes85.0ms (0.1%)

Counts
62 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(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 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (fabs.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f) (*.f64 (/.f64 1 (PI.f64)) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 1/2 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (fabs.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))))
(neg.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4) 2)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)))) 3)))
(neg.f64 (-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))))
(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)))) 4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
Calls

2 calls:

32.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms
f
Results
AccuracySegmentsBranch
95.6%1f
95.6%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 908 to 710 computations (21.8% saved)

regimes16.0ms (0%)

Counts
18 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(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 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f)) 1))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (fabs.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)))
Outputs
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
Calls

1 calls:

11.0ms
f
Results
AccuracySegmentsBranch
95.5%1f
Compiler

Compiled 207 to 161 computations (22.2% saved)

regimes9.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(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 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
95.1%1f
Compiler

Compiled 87 to 67 computations (23% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
Outputs
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
15.4%1f
Compiler

Compiled 30 to 26 computations (13.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/131072)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 1/131072)))))
Outputs
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify34.0ms (0.1%)

Algorithm
egg-herbie
Rules
122×neg-mul-1
86×unsub-neg
86×*-commutative
76×distribute-lft-neg-in
68×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061349
1118349
2175341
3214337
4312337
5443337
6474337
7490337
8492337
9496337
10502337
11504337
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.f64 (fma.f64 1/2 (fma.f64 (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 f f)) 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))))
(*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 1/16 (*.f64 (PI.f64) 2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4))
(neg.f64 (fabs.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64))))
(neg.f64 (/.f64 (log.f64 1/295147905179352825856) (PI.f64)))
(/.f64 (neg.f64 (log.f64 1/295147905179352825856)) (PI.f64))
Compiler

Compiled 109 to 91 computations (16.5% saved)

soundness4.1s (7.2%)

Rules
1862×fma-def
1862×fma-def
1862×fma-def
1862×fma-def
1862×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869248
15438488
220647892
046426
11015426
04358171
19437421
255197421
046426
11015426
04358171
19437421
255197421
031200
1686200
04358171
19437421
255197421
036235
1753229
060810832
1155910170
2723910170
036235
1753229
060810832
1155910170
2723910170
01869248
15438488
220647892
04358171
19437421
255197421
01869248
15438488
220647892
036235
1753229
030301
1634299
27695299
01869248
15438488
220647892
01869248
15438488
220647892
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
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1904 to 1505 computations (21% saved)

end0.0ms (0%)

preprocess207.0ms (0.4%)

Compiler

Compiled 282 to 216 computations (23.4% saved)

Profiling

Loading profile data...