Metrics for VandenBroeck and Keller, Equation (20)

analyze454.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample10.7s (29.6%)

Results

3.3s	4060×	1024	valid
3.1s	3758×	1024	invalid
1.2s	2015×	512	invalid
1.6s	1992×	512	valid
711.0ms	1870×	256	valid
414.0ms	1015×	256	invalid
480.0ms	334×	2048	valid
1.0ms	3×	256	unsamplable

Bogosity

preprocess1.3s (3.7%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-def`
850×	`associate-/l*`
696×	`associate-*r/`
536×	`cancel-sign-sub-inv`
520×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
250	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
3	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
2	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
2	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	-	`(*.f64 (/.f64 (PI.f64) 4) 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)))))))`
0	-	-	`(PI.f64)`
0	-	-	`(/.f64 (PI.f64) 4)`
0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
0	-	-	`f`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`
0	-	-	`4`
0	-	-	`1`
0	-	-	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`	cancellation	250
`/.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)))))`	o/o	3
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`	sensitivity	2
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`	sensitivity	2

Confusion

253	0
2	1

Precision

0.9921568627450981

Recall

1.0

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484

Stop Event

1×	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 472 to 350 computations (25.8% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 118 computations (30.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(*.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)))
▶	7.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

7.0%

(*.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)))

▶

7.4%

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize1.4s (3.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (PI.f64) (/.f64 -4 f))
✓	99.4%	(*.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)))
✓	98.4%	(/.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)))))
✓	10.2%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	10.2%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 343 to 236 computations (31.2% saved)

series174.0ms (0.5%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
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)))))))
34.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
28.0ms	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)))))))
22.0ms	f	@	inf	(*.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)))
19.0ms	f	@	-inf	(*.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)))

rewrite175.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`associate-r`
290×	`associate-l`
252×	`add-exp-log`
250×	`add-log-exp`
249×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
1	583	224

Stop Event

1×	node limit

Counts

8 → 144

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)
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
(/.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 (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 (PI.f64) (/.f64 -4 f))

Outputs
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1438×	`fma-def`
1378×	`times-frac`
778×	`distribute-lft-in`
774×	`distribute-rgt-in`
654×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	7566
1	491	7110
2	1822	6504

Stop Event

1×	node limit

Counts

240 → 83

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)))
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(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
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(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.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
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
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))))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (PI.f64)) (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
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1
3/2
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8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
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-16
-8
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-1
-1/2
-1/4
0
1/16
1/4
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1
3/2
2
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8
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-16
-8
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-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
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-1
-1/2
-1/4
0
1/16
1/4
1/2
1
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2
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4
8
16

eval69.0ms (0.2%)

Compiler: Compiled 4072 to 3046 computations (25.2% saved)

prune41.0ms (0.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	79	12	91
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	81	12	93

Accuracy

98.5%

Counts

93 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
▶	96.9%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	96.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	7.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	97.2%	(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)))))
▶	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	3.3%	(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)))) 2))))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	96.7%	(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 688 to 552 computations (19.8% saved)

localize1.2s (3.3%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.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)))
✓	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 f (*.f64 (PI.f64) 1/2)))))
✓	98.9%	(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))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.6%	(+.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))))))))
✓	99.6%	(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
✓	99.5%	(/.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))))))))))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))
✓	98.4%	(fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64))))) 0)
✓	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 750 to 558 computations (25.6% saved)

series232.0ms (0.6%)

Counts

18 → 123

Calls

39 calls:

Time	Variable		Point	Expression
106.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
20.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
20.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
18.0ms	f	@	-inf	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
17.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite170.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`log1p-expm1-u`
443×	`expm1-log1p-u`
440×	`add-exp-log`
434×	`add-log-exp`
433×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	668
1	1101	668

Stop Event

1×	node limit

Counts

18 → 366

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64))))) 0)
(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)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.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 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))))
(+.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))))))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.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)))
(.f64 f (.f64 (PI.f64) 1/2))

Outputs
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(*.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)))
(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 1/96 (/.f64 1/2 (PI.f64))))) 1)
(*.f64 1/192 (/.f64 1 (/.f64 1/4 (PI.f64))))
(*.f64 1 (/.f64 1/96 (/.f64 1/2 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) (sqrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(pow.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) 2)
(pow.f64 (/.f64 (/.f64 1/4 (PI.f64)) 1/192) -1)
(log.f64 (exp.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64)))))
(+.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))))) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0))) 1)
(.f64 1 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 0))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)) 2) (cbrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 0)))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)) (sqrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 0)))
(pow.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)) 2)
(log.f64 (exp.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 0)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 0)))
(+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (.f64 1/8 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))))) 1)
(.f64 1 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) (sqrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(pow.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 2)
(log.f64 (exp.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) 1)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(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)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
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(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 2)
(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(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))))

simplify338.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-r`
838×	`fma-def`
598×	`sqr-pow`
450×	`unswap-sqr`
416×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	901	21828
1	2208	17584

Stop Event

1×	node limit

Counts

489 → 545

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(.f64 4 (/.f64 (+.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 -1/2 (/.f64 (.f64 (pow.f64 f 2) (.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))) (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 -1/2 (/.f64 (.f64 (pow.f64 f 2) (.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))) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 3) (.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))) (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 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)))))))
(-.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 (.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 32/3 (/.f64 1 (.f64 (pow.f64 f 3) (.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)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3)))))))) (.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)))))))
(.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)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))
(pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2)
(log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1))
(fma.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (neg.f64 (log.f64 f)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(-.f64 0 (log.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (log.f64 (neg.f64 (.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (.f64 (PI.f64) 1/2)))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(neg.f64 (log.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))) 1)
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 2)
(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.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)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(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))))

Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 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 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -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)))
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(.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (.f64 (PI.f64) 1/2)))
(.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(*.f64 f (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 f (.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))

eval1.3s (3.7%)

Compiler: Compiled 16179 to 12280 computations (24.1% saved)

prune165.0ms (0.5%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	523	22	545
Fresh	2	5	7
Picked	4	1	5
Done	0	0	0
Total	529	28	557

Accuracy

98.8%

Counts

557 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
	96.3%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
	96.9%	(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	96.7%	(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	96.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
	7.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	96.9%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)))))
	96.3%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	96.9%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
	96.9%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
▶	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))
	97.2%	(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)))))
✓	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.9%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
▶	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	77.2%	(neg.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1)))
▶	77.2%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
▶	95.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.6%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))

Compiler

Compiled 1062 to 868 computations (18.3% saved)

localize644.0ms (1.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)

Compiler

Compiled 338 to 219 computations (35.2% saved)

series0.0ms (0%)

Counts: 5 → 0

rewrite200.0ms (0.6%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	3	15
1	24	15
2	234	15
3	2380	15

Stop Event

1×	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))
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(sqrt.f64 (pow.f64 (PI.f64) 2))
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(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)

simplify210.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1654×	`log-prod`
1012×	`associate-+l+`
978×	`associate-+r+`
514×	`unswap-sqr`
446×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	4005
1	359	3805
2	1415	3725
3	6903	3725

Stop Event

1×	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)
(*.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)))
(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)))
(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))))
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(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)

eval1.7s (4.6%)

Compiler: Compiled 31224 to 22005 computations (29.5% saved)

prune544.0ms (1.5%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1103	2	1105
Fresh	0	22	22
Picked	0	5	5
Done	0	1	1
Total	1103	30	1133

Accuracy

98.9%

Counts

1133 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
✓	97.3%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
	96.3%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
	96.9%	(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	96.7%	(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶	96.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
	7.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	96.9%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)))))
	96.3%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	96.9%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
	96.9%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
✓	96.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
▶	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))
▶	97.2%	(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)))))
✓	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.9%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	77.2%	(neg.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1)))
✓	77.2%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
✓	95.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.6%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))

Compiler

Compiled 1088 to 889 computations (18.3% saved)

localize1.5s (4.1%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
	98.5%	(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))
	98.5%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
	97.7%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
✓	98.3%	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
	97.7%	(PI.f64)
✓	99.8%	(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))))
	97.7%	(PI.f64)
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
✓	99.5%	(/.f64 (/.f64 4 f) (PI.f64))
	97.7%	(PI.f64)
✓	98.5%	(pow.f64 (PI.f64) 5)
✓	98.5%	(pow.f64 (PI.f64) 3)
✓	98.5%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	97.7%	(PI.f64)

Compiler

Compiled 619 to 444 computations (28.3% saved)

series58.0ms (0.2%)

Counts

11 → 72

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))))
17.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))))
7.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))))
0.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
0.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))

rewrite223.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`prod-diff`
668×	`log1p-expm1-u`
614×	`expm1-udef`
612×	`log1p-udef`
280×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	227
1	446	227
2	5275	227

Stop Event

1×	node limit

Counts

11 → 411

Calls

Call 1

Inputs
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))))
(*.f64 f (PI.f64))
(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
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(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (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 f) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 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))))

simplify302.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1028×	`log-prod`
808×	`fma-neg`
700×	`associate-r`
662×	`associate-l`
578×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	646	19560
1	1586	18474
2	6789	18474

Stop Event

1×	node limit

Counts

483 → 368

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 4 (.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 2 (sqrt.f64 f)) (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (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 f) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 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 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 4)) 2) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 4)) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))
(+.f64 (.f64 (log.f64 4) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))) 1)
(-.f64 (/.f64 (log.f64 4) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 f)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (PI.f64)) (.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2)) (.f64 (.f64 (PI.f64) 1/4) (log.f64 (.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3))) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (.f64 (PI.f64) f)))))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2))) (.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 4 (.f64 (PI.f64) f)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3)) 1) (.f64 (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3)) -1) (.f64 (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2)) 1) (.f64 (log.f64 (.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2)) -1) (.f64 (log.f64 (.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3))) (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (.f64 (PI.f64) f))))))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2))) (log.f64 (.f64 4 (.f64 (PI.f64) f))))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3)) (/.f64 4 (PI.f64))) (+.f64 (pow.f64 (log.f64 4) 2) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 4 (.f64 (PI.f64) f))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2)) (/.f64 4 (PI.f64))) (log.f64 (.f64 4 (.f64 (PI.f64) f))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 4 (.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 2 (sqrt.f64 f)) (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (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 f) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 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 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 4) (log.f64 (neg.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 4) (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
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(.f64 (/.f64 4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 f (PI.f64))) 3)) (fma.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 (.f64 (PI.f64) (*.f64 f 4))) (pow.f64 (log.f64 4) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 2)) (/.f64 4 (PI.f64))) (log.f64 (.f64 4 (.f64 (PI.f64) f))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 f (PI.f64))) 2)) (log.f64 (.f64 (.f64 4 (PI.f64)) f))) (.f64 (PI.f64) 1/4))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 4) 2) (pow.f64 (log.f64 (.f64 f (PI.f64))) 2)) (log.f64 (.f64 (PI.f64) (.f64 f 4)))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 1)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 3)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(fabs.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(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 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) -1/4))) 1))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 4 (.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (.f64 f (PI.f64)) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 16 (pow.f64 (.f64 f (PI.f64)) 2))))
(.f64 (/.f64 2 (sqrt.f64 f)) (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(.f64 (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 2 (sqrt.f64 f))) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (PI.f64) (/.f64 2 (sqrt.f64 f))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(/.f64 -4 (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 -4 (*.f64 f (neg.f64 (PI.f64))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 -4 (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 -4 (*.f64 f (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) f)))
(/.f64 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) f)))
(/.f64 (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) f)))
(/.f64 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) f)))
(/.f64 (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) f)))
(/.f64 (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(.f64 (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 2 (sqrt.f64 f))) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (PI.f64) (/.f64 2 (sqrt.f64 f))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 2 (.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(/.f64 1 (.f64 (PI.f64) (.f64 f 1/4)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 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)))
(/.f64 (/.f64 4 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)))
(/.f64 (/.f64 4 f) (PI.f64))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(/.f64 -4 (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 -4 (*.f64 f (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))

eval6.8s (18.7%)

Compiler: Compiled 263633 to 195945 computations (25.7% saved)

prune1.6s (4.5%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	7242	13	7255
Fresh	11	8	19
Picked	3	2	5
Done	3	3	6
Total	7259	26	7285

Accuracy

98.9%

Counts

7285 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
	96.9%	(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
	96.7%	(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	96.4%	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
✓	96.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
	7.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	96.9%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
	96.9%	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
	96.7%	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
	96.7%	(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	96.7%	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
	95.6%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.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)))))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 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)))))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) 1) (/.f64 (/.f64 4 (PI.f64)) f)))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (log.f64 (exp.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	96.9%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
✓	77.2%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1661 to 1266 computations (23.8% saved)

regimes80.0ms (0.2%)

Counts

51 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.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)))) 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 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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (log.f64 (exp.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) 1) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 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)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(*.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)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))

Outputs

(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (*.f64 -1/24 (PI.f64))))) -2 0))

Calls

6 calls:

27.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
22.0ms	f
8.0ms	(.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)))))))
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
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))))))

Results

Accuracy	Segments	Branch
97.3%	1	`f`
97.3%	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))))))))`
97.3%	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)))))))`
97.3%	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))))))`
97.3%	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)))))`
97.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes107.0ms (0.3%)

Counts

43 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.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)))) 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 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 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (log.f64 (exp.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2 (.f64 1/8 (PI.f64))))) 1) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 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)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))

Calls

6 calls:

62.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
19.0ms	f
8.0ms	(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))))))
6.0ms	(.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)))))))
6.0ms	(/.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

Accuracy	Segments	Branch
97.2%	1	`f`
97.2%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
97.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
97.2%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`
97.2%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes12.0ms (0%)

Counts

20 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 (.f64 1/8 f) (PI.f64) (/.f64 (/.f64 4 f) (PI.f64))))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))

Outputs
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (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)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))

Outputs
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`f`

Compiler

Compiled 2 to 1 computations (50% 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

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Rules

82×	`neg-mul-1`
62×	`unsub-neg`
58×	`*-commutative`
38×	`distribute-lft-neg-in`
38×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	370
1	112	370
2	151	370
3	176	366
4	193	366
5	251	366
6	335	366

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Outputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))))) -2 0))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 (PI.f64) -1/24)))) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (.f64 (/.f64 1/96 (/.f64 1/2 (PI.f64))) -2) (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (+.f64 (.f64 -2 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -2 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -2 (/.f64 1/96 (/.f64 1/2 (PI.f64)))) (*.f64 (PI.f64) 1/8)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) (*.f64 f (PI.f64))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) f)))) (PI.f64)) (neg.f64 4))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 f)) (PI.f64)) (/.f64 (log.f64 (PI.f64)) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (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 109 to 88 computations (19.3% saved)

soundness4.2s (11.7%)

Rules

1554×	`fma-def`
1438×	`fma-def`
1438×	`fma-def`
1438×	`fma-def`
1438×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484
0	163	7566
1	491	7110
2	1822	6504
0	63	668
1	1101	668
0	901	21828
1	2208	17584
0	901	21828
1	2208	17584
0	163	7566
1	491	7110
2	1822	6504
0	901	21828
1	2208	17584
0	31	227
1	446	227
2	5275	227
0	163	7566
1	491	7110
2	1822	6504
0	63	668
1	1101	668
0	901	21828
1	2208	17584
0	163	7566
1	491	7110
2	1822	6504
0	63	668
1	1101	668

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1878 to 1407 computations (25.1% saved)

end0.0ms (0%)

preprocess94.0ms (0.3%)

Compiler: Compiled 284 to 214 computations (24.6% saved)

analyze454.0ms (1.3%)

sample10.7s (29.6%)

preprocess1.3s (3.7%)

eval3.0ms (0%)

prune2.0ms (0%)

localize1.4s (3.7%)

series174.0ms (0.5%)

rewrite175.0ms (0.5%)

simplify97.0ms (0.3%)

eval69.0ms (0.2%)

prune41.0ms (0.1%)

localize1.2s (3.3%)

series232.0ms (0.6%)

rewrite170.0ms (0.5%)

simplify338.0ms (0.9%)

eval1.3s (3.7%)

prune165.0ms (0.5%)

localize644.0ms (1.8%)

series0.0ms (0%)

rewrite200.0ms (0.6%)

simplify210.0ms (0.6%)

eval1.7s (4.6%)

prune544.0ms (1.5%)

localize1.5s (4.1%)

series58.0ms (0.2%)

rewrite223.0ms (0.6%)

simplify302.0ms (0.8%)

eval6.8s (18.7%)

prune1.6s (4.5%)

regimes80.0ms (0.2%)

regimes107.0ms (0.3%)

regimes12.0ms (0%)

regimes11.0ms (0%)

regimes8.0ms (0%)

regimes3.0ms (0%)

simplify14.0ms (0%)

soundness4.2s (11.7%)

end0.0ms (0%)

preprocess94.0ms (0.3%)

Profiling