VandenBroeck and Keller, Equation (20)

Time bar (total: 23.9s)

analyze323.0ms (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
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
8.3%3.9%43.3%0%0%28.5%24.2%9
8.7%4.1%43.1%0%0%28.5%24.2%10
9.1%4.3%42.9%0%0%28.6%24.2%11
9.1%4.3%42.8%0%0%28.6%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.6s (44.5%)

Results
4.0s4050×body1024valid
3.0s3893×body1024invalid
1.2s1968×body512valid
856.0ms1985×body512invalid
765.0ms1879×body256valid
608.0ms359×body2048valid
246.0ms1022×body256invalid
2.0msbody256unsamplable
Bogosity

preprocess762.0ms (3.2%)

Algorithm
egg-herbie
Rules
1554×fma-def
850×associate-/l*
696×associate-*r/
536×cancel-sign-sub-inv
520×distribute-lft-in
Problems
251×(-.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)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033584
198528
2262484
3772484
42705484
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)))))))))
(neg.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))))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.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 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.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 (*.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))))
Compiler

Compiled 236 to 175 computations (25.8% saved)

eval4.0ms (0%)

Compiler

Compiled 169 to 118 computations (30.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
5.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize641.0ms (2.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.7%
(/.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)))))
9.0%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series78.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
36.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
32.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
4.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))

rewrite149.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
1313112
25532112
Stop Event
unsound
Counts
4 → 64
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify65.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01423777
14233549
216343244
Stop Event
node limit
Counts
112 → 62
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 f (*.f64 1/4 (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval51.0ms (0.2%)

Compiler

Compiled 2907 to 2198 computations (24.4% saved)

prune25.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769
Accuracy
97.8%
Counts
69 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
97.5%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
Compiler

Compiled 668 to 552 computations (17.4% saved)

localize639.0ms (2.7%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.6%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
99.7%
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
99.6%
(/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
99.5%
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
99.7%
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
99.6%
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.6%
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
99.5%
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
Compiler

Compiled 541 to 395 computations (27% saved)

series160.0ms (0.7%)

Counts
15 → 95
Calls

39 calls:

TimeVariablePointExpression
44.0ms
f
@0
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
18.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
16.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
15.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
13.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite148.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
380×times-frac
364×frac-times
314×log1p-expm1-u
314×expm1-log1p-u
310×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045502
1812494
Stop Event
node limit
Counts
15 → 411
Calls
Call 1
Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
Outputs
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))) 1)
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))
(*.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (/.f64 1 (PI.f64)))
(*.f64 1 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) 2) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (sqrt.f64 (PI.f64))) (/.f64 4 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 1) (/.f64 (*.f64 2 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64)))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 2 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 2))
(log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
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(log.f64 (exp.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
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(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 2)
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(log.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 1))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 3) (/.f64 8 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))))) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) -1/4) (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)))) (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 3) (/.f64 8 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (*.f64 (PI.f64) -1/4))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) -1/4))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
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(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
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(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
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(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
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(fma.f64 1 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))))
(fma.f64 -1/4 (*.f64 2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))

simplify246.0ms (1%)

Algorithm
egg-herbie
Rules
984×associate-*r*
918×associate-*l*
792×times-frac
636×fma-def
486×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092024329
1247621101
Stop Event
node limit
Counts
506 → 519
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)))
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(*.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)))
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(*.f64 4 (/.f64 (log.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))))))) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (log.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))))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (PI.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.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))))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (PI.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (*.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)))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))) 1)
(/.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 2))
(log.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 1))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (/.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 3) (/.f64 8 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))))) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) -1/4) (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)))) (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 3) (/.f64 8 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (*.f64 (PI.f64) -1/4))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (-.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) (/.f64 (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 2) (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) -1/4))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (/.f64 2 f)) (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) 2) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2))) (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(fma.f64 1 (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 -1/2 (/.f64 (PI.f64) (PI.f64))))
(fma.f64 -1/4 (*.f64 2 (/.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (*.f64 2 (/.f64 (PI.f64) (PI.f64))) -1/4 (+.f64 (/.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
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(*.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (/.f64 1 f))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
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(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -1)
(pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -1/2) 2)
(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1) -1)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 -1 (log.f64 (*.f64 (PI.f64) 1/4)))
(*.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)))))
(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)))
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (log.f64 f) 0))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 f (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 f) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (log.f64 (*.f64 f (/.f64 2 (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2))
(fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))
(log1p.f64 (+.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(log1p.f64 (+.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(log.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))

eval435.0ms (1.8%)

Compiler

Compiled 14033 to 10484 computations (25.3% saved)

prune121.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New52016536
Fresh022
Picked415
Done000
Total52419543
Accuracy
98.1%
Counts
543 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
97.3%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
97.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
35.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
0.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
78.3%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
78.3%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
96.0%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
97.3%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
97.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
35.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
0.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
78.3%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
78.3%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
Compiler

Compiled 1190 to 1014 computations (14.8% saved)

localize440.0ms (1.8%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 286 to 192 computations (32.9% saved)

series0.0ms (0%)

Counts
5 → 0

rewrite123.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1294×prod-diff
922×log-prod
737×log1p-expm1-u
737×expm1-log1p-u
564×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0315
12415
223415
3238015
Stop Event
node limit
Counts
5 → 315
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
Outputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
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(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
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(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
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(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
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(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
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(fma.f64 1 (+.f64 (PI.f64) 1) -1)
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
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(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
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(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
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(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

simplify126.0ms (0.5%)

Algorithm
egg-herbie
Rules
1654×log-prod
1012×associate-+l+
978×associate-+r+
514×unswap-sqr
446×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01604005
13593805
214153725
369033725
Stop Event
node limit
Counts
315 → 85
Calls
Call 1
Inputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
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(cbrt.f64 (pow.f64 (PI.f64) 3))
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(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
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(+.f64 0 (PI.f64))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 2 (*.f64 1/2 (PI.f64)))
(PI.f64)
(*.f64 1/3 (*.f64 3 (PI.f64)))
(PI.f64)
(*.f64 3 (*.f64 1/3 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 2 (*.f64 1/2 (PI.f64)))
(PI.f64)
(*.f64 1/3 (*.f64 3 (PI.f64)))
(PI.f64)
(*.f64 3 (*.f64 1/3 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)

eval588.0ms (2.5%)

Compiler

Compiled 21072 to 15191 computations (27.9% saved)

prune445.0ms (1.9%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New9350935
Fresh01313
Picked055
Done011
Total93519954
Accuracy
98.1%
Counts
954 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
97.3%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
97.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
35.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
0.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
78.3%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
78.3%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
96.0%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
97.3%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
97.0%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
35.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
0.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
78.3%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
78.3%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
Compiler

Compiled 1044 to 888 computations (14.9% saved)

localize1.2s (5%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))
98.1%
(PI.f64)
36.8%
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
98.1%
(PI.f64)
99.6%
(/.f64 4 (*.f64 f (PI.f64)))
98.1%
(PI.f64)
91.6%
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
80.7%
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
99.7%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
98.1%
(PI.f64)
100.0%
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
99.5%
(/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64))
99.4%
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
98.1%
(PI.f64)
Compiler

Compiled 309 to 200 computations (35.3% saved)

series194.0ms (0.8%)

Counts
15 → 144
Calls

45 calls:

TimeVariablePointExpression
56.0ms
f
@0
(/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64))
23.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
20.0ms
f
@-inf
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
20.0ms
f
@0
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
18.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))

rewrite577.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1524×prod-diff
334×associate-*r*
240×frac-times
240×associate-*l*
201×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039496
1605376
26830376
Stop Event
node limit
Counts
15 → 864
Calls
Call 1
Inputs
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)))
(/.f64 4 (*.f64 f (PI.f64)))
Outputs
(+.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1))
(+.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1) 1)
(+.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1) -1)
(-.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1) 1)
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 2 (*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 1 f) 1))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 1))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (/.f64 1 (neg.f64 f)))
(*.f64 -4 (/.f64 1 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1/3) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2) 1/3))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 6) 1/6)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (*.f64 2 (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 2 (PI.f64)))) (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64)))
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simplify307.0ms (1.3%)

Algorithm
egg-herbie
Rules
1096×associate-*r*
1050×associate-/l*
978×associate-*l*
826×times-frac
714×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073134897
1184832069
Stop Event
node limit
Counts
1008 → 389
Calls
Call 1
Inputs
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1))
(+.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1) 1)
(+.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1) -1)
(-.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1) 1)
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(*.f64 2 (/.f64 1 (*.f64 (*.f64 (PI.f64) 1/2) f)))
(*.f64 2 (*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 1 f) 1))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 1))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (/.f64 1 (neg.f64 f)))
(*.f64 -4 (/.f64 1 (*.f64 f (neg.f64 (PI.f64)))))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1/3) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2) 1/3))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 6) 1/6)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.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))) (log.f64 f))
(log.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))) (log.f64 f))
(log.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))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.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 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f))) (sqrt.f64 f))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 6) 1/6)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(/.f64 4 (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))

eval2.8s (11.9%)

Compiler

Compiled 97134 to 69413 computations (28.5% saved)

prune461.0ms (1.9%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New4627124639
Fresh628
Picked235
Done336
Total4638204658
Accuracy
98.1%
Counts
4658 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
97.5%
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
97.5%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))) (PI.f64)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
97.5%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
97.4%
(neg.f64 (/.f64 1/3 (/.f64 (*.f64 (PI.f64) 1/4) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))))
97.4%
(neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
97.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
96.2%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
48.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (-.f64 2 (/.f64 4 (*.f64 f (PI.f64))))))))
97.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
97.2%
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/4)))
0.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
97.5%
(neg.f64 (*.f64 1/3 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (PI.f64) 1/4))))
78.3%
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
78.3%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
Compiler

Compiled 913 to 707 computations (22.6% saved)

regimes118.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
(neg.f64 (*.f64 1/3 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/4)))
(neg.f64 (/.f64 1/3 (/.f64 (*.f64 (PI.f64) 1/4) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64)))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (-.f64 2 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Outputs
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
Calls

6 calls:

64.0ms
f
18.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms
(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))))))
5.0ms
(*.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)))))))
5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
Results
AccuracySegmentsBranch
97.5%1f
97.5%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.5%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
97.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
97.5%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 735 to 547 computations (25.6% saved)

regimes22.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
(neg.f64 (*.f64 1/3 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/4)))
(neg.f64 (/.f64 1/3 (/.f64 (*.f64 (PI.f64) 1/4) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))) (PI.f64)))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
Outputs
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
Calls

1 calls:

15.0ms
f
Results
AccuracySegmentsBranch
97.5%1f
Compiler

Compiled 350 to 254 computations (27.4% saved)

regimes8.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
97.5%1f
Compiler

Compiled 93 to 67 computations (28% saved)

regimes7.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Outputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
97.5%1f
Compiler

Compiled 32 to 24 computations (25% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
97.4%1f
Compiler

Compiled 21 to 17 computations (19% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
0.7%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
104×neg-mul-1
72×unsub-neg
70×distribute-lft-neg-in
60×*-commutative
52×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041247
181247
2134247
3178243
4274243
5388243
6415243
7417243
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(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 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
Outputs
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(+.f64 (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)) (neg.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4))))
(-.f64 (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))) (PI.f64)))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)) (neg.f64 4)) (PI.f64))
(/.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (neg.f64 4)) (PI.f64))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 0) (PI.f64)))
(*.f64 (/.f64 (log.f64 0) (PI.f64)) (neg.f64 4))
Compiler

Compiled 74 to 63 computations (14.9% saved)

soundness1.8s (7.7%)

Rules
1524×prod-diff
1344×times-frac
1344×times-frac
1314×fma-def
1314×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01423777
14233549
216343244
045502
1812494
092024329
1247621101
01423777
14233549
216343244
092024329
1247621101
039496
1605376
26830376
092024329
1247621101
045502
1812494
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 661 to 500 computations (24.4% saved)

end0.0ms (0%)

preprocess81.0ms (0.3%)

Compiler

Compiled 214 to 160 computations (25.2% saved)

Profiling

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