Metrics for VandenBroeck and Keller, Equation (20)

analyze286.0ms (1.6%)

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
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample8.5s (47.4%)

Results

2.9s	3991×	body	1024	valid
2.4s	4035×	body	1024	invalid
1.1s	1965×	body	512	invalid
975.0ms	2023×	body	512	valid
569.0ms	504×	body	2048	valid
416.0ms	1738×	body	256	valid
221.0ms	982×	body	256	invalid
2.0ms	3×	body	2048	invalid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess952.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-*r/`
492×	`associate-/l*`
430×	`distribute-lft-in`
411×	`*-commutative`
316×	`distribute-rgt-in`

Problems

251×	`(-.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)))))`
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))))))`
1×	No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	264	484
3	785	484
4	2974	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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (.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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (.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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.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 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (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 1/4) (*.f64 f (PI.f64)))))) (/.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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (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 1/4) (*.f64 f (PI.f64)))))) (PI.f64)))

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 120 computations (29% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.8%	(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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

6.8%

(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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

▶

6.8%

(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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize568.0ms (3.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.5%	(/.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)))))
✓	10.1%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

series88.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	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)))))))
29.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite149.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

138×	`associate-r`
132×	`pow1`
125×	`add-exp-log`
122×	`add-log-exp`
122×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	314	112
2	5257	112

Stop Event

1×

unsound

Counts

4 → 64

Calls

Call 1

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

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-+r+`
656×	`times-frac`
573×	`fma-def`
339×	`+-commutative`
337×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240

Stop Event

1×	node limit

Counts

112 → 65

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

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
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(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval57.0ms (0.3%)

Compiler: Compiled 3017 to 2272 computations (24.7% saved)

prune44.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Accuracy

98.3%

Counts

72 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	97.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
▶	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	97.0%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	97.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))
▶	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	97.0%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 972 to 760 computations (21.8% saved)

localize2.3s (13%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 f (PI.f64))
✓	99.4%	(/.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))
✓	98.5%	(/.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)))))))
✓	10.1%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(/.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)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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))
✓	99.4%	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 785 to 537 computations (31.6% saved)

series169.0ms (0.9%)

Counts

18 → 132

Calls

42 calls:

Time	Variable		Point	Expression
34.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
30.0ms	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))))
19.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
14.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`associate-r`
378×	`*-un-lft-identity`
362×	`add-cube-cbrt`
358×	`add-sqr-sqrt`
259×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	276
1	985	276

Stop Event

1×	node limit

Counts

18 → 368

Calls

Call 1

Inputs
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(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))
(-.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 (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 f (PI.f64))

Outputs
1/36864
1/192
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
(+.f64 -16 (neg.f64 (log.f64 20587/20480)))
(-.f64 -16 (log.f64 20587/20480))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 -16 (log.f64 20480/20587))
(/.f64 (-.f64 -16 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480))) (+.f64 -16 (log.f64 20587/20480)))
(/.f64 (-.f64 -16 (pow.f64 (log.f64 20587/20480) -16)) (+.f64 -16 (+.f64 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480)) (log.f64 20587/20480))))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

603×	`+-commutative`
527×	`associate-*r/`
383×	`associate-r`
340×	`fma-def`
300×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	10483
1	1300	9439
2	5744	9427

Stop Event

1×	node limit

Counts

500 → 180

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 1 f))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(+.f64 (.f64 1/1536 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (+.f64 (.f64 2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))) (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 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 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)))))))))
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(/.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 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.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 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.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 1/2 (/.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 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/6 (/.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 1/2 (/.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 1/2 (/.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 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
1/36864
1/192
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
(+.f64 -16 (neg.f64 (log.f64 20587/20480)))
(-.f64 -16 (log.f64 20587/20480))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 -16 (log.f64 20480/20587))
(/.f64 (-.f64 -16 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480))) (+.f64 -16 (log.f64 20587/20480)))
(/.f64 (-.f64 -16 (pow.f64 (log.f64 20587/20480) -16)) (+.f64 -16 (+.f64 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480)) (log.f64 20587/20480))))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16

Outputs
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(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0)))) (fma.f64 1/2 (/.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 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)))))
(-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (fma.f64 1/2 (.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 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (fma.f64 1/2 (.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 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (-.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/6 (/.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 1/2 (/.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 1/2 (/.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 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -3/2 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (-.f64 (.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)))) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (fma.f64 1/4 (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (.f64 (.f64 3 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0)))) (fma.f64 1/2 (/.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 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
(-.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (+.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0) 0)) (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (fma.f64 1/2 (.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 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (+.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0) 0)) (/.f64 f (/.f64 (PI.f64) 0))) (-.f64 (fma.f64 1/2 (.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 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 1/192)))) 0)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
1/36864
1/192
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
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9
16
-16
-4
-3
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-1
-1/2
-1/4
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1/16
1/4
1/3
1/2
3/4
1
3/2
2
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4
6
8
9
16
(+.f64 -16 (neg.f64 (log.f64 20587/20480)))
(-.f64 -16 (log.f64 20587/20480))
(-.f64 -16 (log.f64 20587/20480))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 -16 (log.f64 20480/20587))
(*.f64 -16 (log.f64 20480/20587))
(/.f64 (-.f64 -16 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480))) (+.f64 -16 (log.f64 20587/20480)))
(/.f64 (-.f64 -16 (pow.f64 (log.f64 20587/20480) -16)) (+.f64 -16 (+.f64 (*.f64 (log.f64 20587/20480) (log.f64 20587/20480)) (log.f64 20587/20480))))
(/.f64 (-.f64 -16 (pow.f64 (log.f64 20587/20480) -16)) (+.f64 -16 (fma.f64 (log.f64 20587/20480) (log.f64 20587/20480) (log.f64 20587/20480))))
(/.f64 (-.f64 -16 (pow.f64 (log.f64 20587/20480) -16)) (fma.f64 (+.f64 1 (log.f64 20587/20480)) (log.f64 20587/20480) -16))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
(exp.f64 (log.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
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16
-16
-4
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-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
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6
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9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
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-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
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-16
-4
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-1/2
-1/4
0
1/16
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3/4
1
3/2
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16
-16
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-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
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9
16
-16
-4
-3
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-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
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6
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9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
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6
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16
-16
-4
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-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
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6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
3/4
1
3/2
2
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6
8
9
16

eval161.0ms (0.9%)

Compiler: Compiled 8728 to 6521 computations (25.3% saved)

prune54.0ms (0.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	179	13	192

Accuracy

98.5%

Counts

192 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	11.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
	13.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	96.9%	(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))))))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
▶	12.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
▶	97.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
▶	97.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
✓	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	96.9%	(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	11.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
	13.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	96.9%	(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))))))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
▶	12.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
▶	97.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
▶	97.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
✓	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	96.9%	(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 1008 to 818 computations (18.8% saved)

localize576.0ms (3.2%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 1 (*.f64 f (PI.f64)))
✓	99.3%	(.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)))))))
✓	100.0%	(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
✓	99.4%	(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
✓	99.3%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	96.9%	(log.f64 20480/20587)
✓	96.9%	(log.f64 20480/20587)
✓	98.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
✓	98.4%	(pow.f64 (PI.f64) 5)
	98.4%	(pow.f64 (PI.f64) 3)
	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 563 to 391 computations (30.6% saved)

series12.0ms (0.1%)

Counts

11 → 63

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(.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)))))))
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
1.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
1.0ms	f	@	-inf	(.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)))))))
1.0ms	f	@	0	(.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)))))))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

381×	`associate-r`
320×	`pow1`
306×	`add-exp-log`
302×	`add-log-exp`
299×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	294
1	770	294

Stop Event

1×	node limit

Counts

11 → 198

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 5)
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
(log.f64 20480/20587)
(log.f64 20480/20587)
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
(.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)))))))
(/.f64 1 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))

Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(+.f64 -16 (neg.f64 (log.f64 107/20480)))
(-.f64 -16 (log.f64 107/20480))
(*.f64 -16 (log.f64 107/20480))
(*.f64 (log.f64 107/20480) -16)
(*.f64 (log.f64 107/20480) (log.f64 107/20480))
(/.f64 (log.f64 107/20480) (+.f64 -16 (log.f64 107/20480)))
(/.f64 (log.f64 107/20480) (+.f64 -16 (+.f64 (log.f64 107/20480) (log.f64 107/20480))))
(pow.f64 (log.f64 107/20480) -16)
(sqrt.f64 (log.f64 107/20480))
(fabs.f64 (log.f64 107/20480))
(cbrt.f64 (log.f64 107/20480))
(expm1.f64 (log1p.f64 (log.f64 107/20480)))
(exp.f64 (log.f64 (log.f64 107/20480)))
(exp.f64 (+.f64 (log.f64 (log.f64 107/20480)) (log.f64 (log.f64 107/20480))))
(exp.f64 (*.f64 (log.f64 (log.f64 107/20480)) -16))
(log1p.f64 (expm1.f64 (log.f64 107/20480)))
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(/.f64 -16 (/.f64 -16 (log.f64 1/512)))
(/.f64 (log.f64 1/512) -16)
(/.f64 (log.f64 1/512) (/.f64 -16 (log.f64 1/512)))
(/.f64 (neg.f64 (log.f64 1/512)) -16)
(pow.f64 (log.f64 1/512) -16)
(sqrt.f64 (log.f64 1/512))
(fabs.f64 (log.f64 1/512))
(log.f64 1/512)
(cbrt.f64 (log.f64 1/512))
(expm1.f64 (log1p.f64 (log.f64 1/512)))
(exp.f64 (log.f64 (log.f64 1/512)))
(exp.f64 (+.f64 -16 (log.f64 (log.f64 1/512))))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) -16))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) (log.f64 (log.f64 1/512))))
(exp.f64 (-.f64 (log.f64 (log.f64 1/512)) -16))
(exp.f64 (*.f64 (log.f64 (log.f64 1/512)) -16))
(log1p.f64 (expm1.f64 (log.f64 1/512)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
1/512
1/64
1/8

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-/r*`
493×	`associate-+l+`
490×	`associate-+r+`
390×	`+-commutative`
381×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	6052
1	908	5650
2	3373	5634

Stop Event

1×	node limit

Counts

261 → 191

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (.f64 5 (log.f64 (/.f64 1 f))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/720 (/.f64 (-.f64 (+.f64 (.f64 -15/4 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 -3/256 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (+.f64 (.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (.f64 -320 (/.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (.f64 5 (log.f64 (/.f64 1 f)))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f)))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (.f64 5 (log.f64 (/.f64 -1 f))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(+.f64 -16 (neg.f64 (log.f64 107/20480)))
(-.f64 -16 (log.f64 107/20480))
(*.f64 -16 (log.f64 107/20480))
(*.f64 (log.f64 107/20480) -16)
(*.f64 (log.f64 107/20480) (log.f64 107/20480))
(/.f64 (log.f64 107/20480) (+.f64 -16 (log.f64 107/20480)))
(/.f64 (log.f64 107/20480) (+.f64 -16 (+.f64 (log.f64 107/20480) (log.f64 107/20480))))
(pow.f64 (log.f64 107/20480) -16)
(sqrt.f64 (log.f64 107/20480))
(fabs.f64 (log.f64 107/20480))
(cbrt.f64 (log.f64 107/20480))
(expm1.f64 (log1p.f64 (log.f64 107/20480)))
(exp.f64 (log.f64 (log.f64 107/20480)))
(exp.f64 (+.f64 (log.f64 (log.f64 107/20480)) (log.f64 (log.f64 107/20480))))
(exp.f64 (*.f64 (log.f64 (log.f64 107/20480)) -16))
(log1p.f64 (expm1.f64 (log.f64 107/20480)))
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
(sqrt.f64 (log.f64 20480/20587))
(fabs.f64 (log.f64 20480/20587))
(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(exp.f64 (log.f64 (log.f64 20480/20587)))
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
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0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(/.f64 -16 (/.f64 -16 (log.f64 1/512)))
(/.f64 (log.f64 1/512) -16)
(/.f64 (log.f64 1/512) (/.f64 -16 (log.f64 1/512)))
(/.f64 (neg.f64 (log.f64 1/512)) -16)
(pow.f64 (log.f64 1/512) -16)
(sqrt.f64 (log.f64 1/512))
(fabs.f64 (log.f64 1/512))
(log.f64 1/512)
(cbrt.f64 (log.f64 1/512))
(expm1.f64 (log1p.f64 (log.f64 1/512)))
(exp.f64 (log.f64 (log.f64 1/512)))
(exp.f64 (+.f64 -16 (log.f64 (log.f64 1/512))))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) -16))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) (log.f64 (log.f64 1/512))))
(exp.f64 (-.f64 (log.f64 (log.f64 1/512)) -16))
(exp.f64 (*.f64 (log.f64 (log.f64 1/512)) -16))
(log1p.f64 (expm1.f64 (log.f64 1/512)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
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0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
1/512
1/64
1/8

Outputs
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)))
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(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (+.f64 (/.f64 128 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))) (/.f64 2048 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 4))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/8))) (PI.f64)) (+.f64 (/.f64 (/.f64 128 (pow.f64 (PI.f64) 3)) (pow.f64 f 2)) (/.f64 (/.f64 131072/3 (pow.f64 f 6)) (pow.f64 (PI.f64) 7)))) (/.f64 (/.f64 2048 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))))
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(fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/8)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 128 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 128 (pow.f64 (PI.f64) 3)) (pow.f64 f 2)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 (/.f64 128 (pow.f64 f 2)) (pow.f64 (PI.f64) 3)))
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(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/8)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 128 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 2048 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 4))))
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(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/8)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 128 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (/.f64 131072/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 2048 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 4))))
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(fma.f64 4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (+.f64 (/.f64 (/.f64 128 (pow.f64 f 2)) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (/.f64 131072/3 (pow.f64 (PI.f64) 7)) (pow.f64 f 6)) (/.f64 (/.f64 -2048 (pow.f64 (PI.f64) 5)) (pow.f64 f 4)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 1/8 (.f64 f (PI.f64)))
(.f64 1/8 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/8))
(.f64 (PI.f64) (.f64 f 1/8))
(.f64 1/8 (.f64 f (PI.f64)))
(.f64 1/8 (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) 1/8))
(.f64 (PI.f64) (.f64 f 1/8))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(+.f64 -16 (neg.f64 (log.f64 107/20480)))
(-.f64 -16 (log.f64 107/20480))
(-.f64 -16 (log.f64 107/20480))
(*.f64 -16 (log.f64 107/20480))
(*.f64 (log.f64 107/20480) -16)
(*.f64 -16 (log.f64 107/20480))
(*.f64 (log.f64 107/20480) (log.f64 107/20480))
(/.f64 (log.f64 107/20480) (+.f64 -16 (log.f64 107/20480)))
(/.f64 (log.f64 107/20480) (+.f64 -16 (+.f64 (log.f64 107/20480) (log.f64 107/20480))))
(/.f64 (log.f64 107/20480) (+.f64 -16 (*.f64 2 (log.f64 107/20480))))
(/.f64 (log.f64 107/20480) (fma.f64 2 (log.f64 107/20480) -16))
(pow.f64 (log.f64 107/20480) -16)
(sqrt.f64 (log.f64 107/20480))
(fabs.f64 (log.f64 107/20480))
(cbrt.f64 (log.f64 107/20480))
(expm1.f64 (log1p.f64 (log.f64 107/20480)))
(log.f64 107/20480)
(exp.f64 (log.f64 (log.f64 107/20480)))
(log.f64 107/20480)
(exp.f64 (+.f64 (log.f64 (log.f64 107/20480)) (log.f64 (log.f64 107/20480))))
(*.f64 (log.f64 107/20480) (log.f64 107/20480))
(exp.f64 (*.f64 (log.f64 (log.f64 107/20480)) -16))
(pow.f64 (log.f64 107/20480) -16)
(log1p.f64 (expm1.f64 (log.f64 107/20480)))
(log.f64 107/20480)
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
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(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
(exp.f64 (log.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(pow.f64 (log.f64 20480/20587) -16)
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) -16)
(*.f64 -16 (log.f64 20480/20587))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(pow.f64 (log.f64 20480/20587) -16)
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(cbrt.f64 (log.f64 20480/20587))
(expm1.f64 (log1p.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
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(log.f64 20480/20587)
(exp.f64 (+.f64 (log.f64 (log.f64 20480/20587)) (log.f64 (log.f64 20480/20587))))
(*.f64 (log.f64 20480/20587) (log.f64 20480/20587))
(exp.f64 (*.f64 (log.f64 (log.f64 20480/20587)) -16))
(pow.f64 (log.f64 20480/20587) -16)
(log1p.f64 (expm1.f64 (log.f64 20480/20587)))
(log.f64 20480/20587)
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
(/.f64 -16 (/.f64 -16 (log.f64 1/512)))
(*.f64 1 (log.f64 1/512))
(log.f64 1/512)
(/.f64 (log.f64 1/512) -16)
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(*.f64 (/.f64 (log.f64 1/512) -16) (log.f64 1/512))
(*.f64 (log.f64 1/512) (/.f64 (log.f64 1/512) -16))
(/.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)) -16)
(/.f64 (neg.f64 (log.f64 1/512)) -16)
(*.f64 1/16 (log.f64 1/512))
(pow.f64 (log.f64 1/512) -16)
(sqrt.f64 (log.f64 1/512))
(fabs.f64 (log.f64 1/512))
(log.f64 1/512)
(*.f64 1 (log.f64 1/512))
(cbrt.f64 (log.f64 1/512))
(expm1.f64 (log1p.f64 (log.f64 1/512)))
(*.f64 1 (log.f64 1/512))
(log.f64 1/512)
(exp.f64 (log.f64 (log.f64 1/512)))
(*.f64 1 (log.f64 1/512))
(log.f64 1/512)
(exp.f64 (+.f64 -16 (log.f64 (log.f64 1/512))))
(*.f64 (log.f64 1/512) (exp.f64 -16))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) -16))
(*.f64 (log.f64 1/512) (exp.f64 -16))
(exp.f64 (+.f64 (log.f64 (log.f64 1/512)) (log.f64 (log.f64 1/512))))
(*.f64 (log.f64 1/512) (log.f64 1/512))
(exp.f64 (-.f64 (log.f64 (log.f64 1/512)) -16))
(/.f64 (log.f64 1/512) (exp.f64 -16))
(*.f64 (log.f64 1/512) (exp.f64 16))
(exp.f64 (*.f64 (log.f64 (log.f64 1/512)) -16))
(pow.f64 (log.f64 1/512) -16)
(log1p.f64 (expm1.f64 (log.f64 1/512)))
(*.f64 1 (log.f64 1/512))
(log.f64 1/512)
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
3/4
1
5/4
3/2
2
5/2
3
4
5
6
10
16
64
1/512
1/64
1/8

eval159.0ms (0.9%)

Compiler: Compiled 7861 to 5793 computations (26.3% saved)

prune62.0ms (0.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	218	10	228
Fresh	2	4	6
Picked	3	2	5
Done	0	2	2
Total	223	18	241

Accuracy

98.5%

Counts

241 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.8%	(neg.f64 (pow.f64 (log.f64 1/512) -16))
	13.5%	(neg.f64 (/.f64 (log.f64 1/512) -16))
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	96.9%	(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))))))))
	16.1%	(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
	10.0%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
	16.0%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
	17.3%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
▶	97.0%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
✓	97.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
✓	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	14.8%	(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
	96.9%	(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
▶	1.6%	(neg.f64 (log.f64 1/512))
	14.7%	(neg.f64 (fabs.f64 (log.f64 1/512)))
▶	9.8%	(neg.f64 (pow.f64 (log.f64 1/512) -16))
	13.5%	(neg.f64 (/.f64 (log.f64 1/512) -16))
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	97.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	96.9%	(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))))))))
	16.1%	(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
	10.0%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
	16.0%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
	17.3%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
▶	97.0%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
✓	97.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
✓	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	14.8%	(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
	96.9%	(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
▶	1.6%	(neg.f64 (log.f64 1/512))
	14.7%	(neg.f64 (fabs.f64 (log.f64 1/512)))

Compiler

Compiled 954 to 796 computations (16.6% saved)

localize369.0ms (2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	97.5%	(pow.f64 (log.f64 1/512) -16)
	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
✓	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))

Compiler

Compiled 261 to 206 computations (21.1% saved)

series47.0ms (0.3%)

Counts

5 → 24

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
3.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
2.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
0.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
0.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

rewrite171.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`associate-/r/`
446×	`associate-/l/`
191×	`pow1`
182×	`associate-r`
177×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	164
1	432	142
2	5536	142

Stop Event

1×	node limit

Counts

5 → 161

Calls

Call 1

Inputs
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (log.f64 1/512) -16)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/48 (PI.f64)))) 1)
(.f64 1/192 (.f64 4 (PI.f64)))
(.f64 (.f64 1/48 (PI.f64)) 1)
(.f64 2 (.f64 1/96 (PI.f64)))
(.f64 (.f64 (PI.f64) 2) 1/96)
(.f64 1 (.f64 1/48 (PI.f64)))
(.f64 4 (.f64 1/192 (PI.f64)))
(.f64 -1/96 (neg.f64 (.f64 (PI.f64) 2)))
(.f64 1/96 (.f64 (PI.f64) 2))
(.f64 (.f64 4 (PI.f64)) 1/192)
(.f64 -1/192 (.f64 -4 (PI.f64)))
(.f64 (sqrt.f64 (.f64 1/48 (PI.f64))) (sqrt.f64 (*.f64 1/48 (PI.f64))))
(.f64 (cbrt.f64 (.f64 1/48 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/48 (PI.f64))) 2) (cbrt.f64 (*.f64 1/48 (PI.f64))))
(*.f64 -1/48 (neg.f64 (PI.f64)))
(*.f64 1/48 (PI.f64))
(*.f64 1/48 (/.f64 (PI.f64) 1))
(*.f64 1/48 (neg.f64 (neg.f64 (PI.f64))))
(.f64 (.f64 2 (sqrt.f64 (PI.f64))) (*.f64 1/96 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2)) (/.f64 1/192 (cbrt.f64 (/.f64 1/4 (PI.f64)))))
(.f64 (.f64 -4 (PI.f64)) -1/192)
(*.f64 (/.f64 1/192 (/.f64 1/4 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/192 (/.f64 1/4 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1/96 (sqrt.f64 (/.f64 1/4 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/96 (/.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (PI.f64))) 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/192 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2)) (cbrt.f64 1/4)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1/48 (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/48 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (.f64 (PI.f64) 2))) 1) (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 1/2)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) 1) (cbrt.f64 (.f64 (PI.f64) 2)))
(*.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) (cbrt.f64 1/2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 (PI.f64))))
(pow.f64 (*.f64 1/48 (PI.f64)) 1)
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -1)
(pow.f64 (sqrt.f64 (*.f64 1/48 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 3) 1/3)
(sqrt.f64 (*.f64 1/2304 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 1/48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/48 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/48 (PI.f64))))
(exp.f64 (log.f64 (*.f64 1/48 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 1/48 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/48 (PI.f64))))
(+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))
(+.f64 (.f64 -1/24 (PI.f64)) (.f64 (*.f64 1/8 (PI.f64)) 1))
(+.f64 (.f64 1/8 (PI.f64)) (.f64 -1/24 (PI.f64)))
(+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (*.f64 -1/24 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/24 (PI.f64)))) (-.f64 1 (.f64 1/8 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) 1)
(-.f64 (+.f64 (.f64 1/8 (PI.f64)) (exp.f64 (log1p.f64 (.f64 -1/24 (PI.f64))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (exp.f64 (log1p.f64 (*.f64 -1/24 (PI.f64))))) 1)
(.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 1)
(.f64 1 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (sqrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 1/576 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 -1/24 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (PI.f64)) 3) (pow.f64 (.f64 1/8 (PI.f64)) 3)) (+.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (-.f64 (.f64 1/576 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/8 (PI.f64)) (*.f64 -1/24 (PI.f64))))))
(pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))))) 1)
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4)))
(/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 2) (/.f64 (PI.f64) (.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))))) 4)))
(/.f64 (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4) (PI.f64))
(/.f64 (.f64 4 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (.f64 -4 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (.f64 -1 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 1) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 1/2 (sqrt.f64 (PI.f64)))) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.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 (neg.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 2))
(log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 1/512) -16))) 1)
(*.f64 1 (pow.f64 (log.f64 1/512) -16))
(*.f64 (pow.f64 (log.f64 1/512) -16) 1)
(*.f64 (pow.f64 (log.f64 1/512) -8) (pow.f64 (log.f64 1/512) -8))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/512) -16)) (cbrt.f64 (pow.f64 (log.f64 1/512) -32)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/512) -32)) (cbrt.f64 (pow.f64 (log.f64 1/512) -16)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/512)) -16) (pow.f64 (sqrt.f64 (log.f64 1/512)) -16))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/512)) 2) -16) (pow.f64 (cbrt.f64 (log.f64 1/512)) -16))
(sqrt.f64 (pow.f64 (log.f64 1/512) -32))
(log.f64 (exp.f64 (pow.f64 (log.f64 1/512) -16)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 1/512) -16))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 1/512) -16) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 1/512) -16)))
(exp.f64 (*.f64 -16 (log.f64 (log.f64 1/512))))
(exp.f64 (.f64 (.f64 -16 (log.f64 (log.f64 1/512))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 1/512) -16)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.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 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1)
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (log.f64 (.f64 (PI.f64) (/.f64 f 4))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/r/`
402×	`associate-r`
375×	`distribute-lft-neg-out`
349×	`associate-/l/`
322×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	474	6979
1	1172	6341
2	5063	6341

Stop Event

1×	node limit

Counts

185 → 268

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(/.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 (exp.f64 (log1p.f64 (*.f64 1/48 (PI.f64)))) 1)
(.f64 1/192 (.f64 4 (PI.f64)))
(.f64 (.f64 1/48 (PI.f64)) 1)
(.f64 2 (.f64 1/96 (PI.f64)))
(.f64 (.f64 (PI.f64) 2) 1/96)
(.f64 1 (.f64 1/48 (PI.f64)))
(.f64 4 (.f64 1/192 (PI.f64)))
(.f64 -1/96 (neg.f64 (.f64 (PI.f64) 2)))
(.f64 1/96 (.f64 (PI.f64) 2))
(.f64 (.f64 4 (PI.f64)) 1/192)
(.f64 -1/192 (.f64 -4 (PI.f64)))
(.f64 (sqrt.f64 (.f64 1/48 (PI.f64))) (sqrt.f64 (*.f64 1/48 (PI.f64))))
(.f64 (cbrt.f64 (.f64 1/48 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1/48 (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/48 (PI.f64))) 2) (cbrt.f64 (*.f64 1/48 (PI.f64))))
(*.f64 -1/48 (neg.f64 (PI.f64)))
(*.f64 1/48 (PI.f64))
(*.f64 1/48 (/.f64 (PI.f64) 1))
(*.f64 1/48 (neg.f64 (neg.f64 (PI.f64))))
(.f64 (.f64 2 (sqrt.f64 (PI.f64))) (*.f64 1/96 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2)) (/.f64 1/192 (cbrt.f64 (/.f64 1/4 (PI.f64)))))
(.f64 (.f64 -4 (PI.f64)) -1/192)
(*.f64 (/.f64 1/192 (/.f64 1/4 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/192 (/.f64 1/4 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1/96 (sqrt.f64 (/.f64 1/4 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/96 (/.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (PI.f64))) 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/192 (pow.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) 2)) (cbrt.f64 1/4)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1/48 (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/48 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (.f64 (PI.f64) 2))) 1) (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 1/2)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/96 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) 1) (cbrt.f64 (.f64 (PI.f64) 2)))
(*.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) (cbrt.f64 1/2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/96 (pow.f64 (cbrt.f64 (/.f64 1/2 (PI.f64))) 2)) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 (PI.f64))))
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(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -1)
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(sqrt.f64 (*.f64 1/2304 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 1/48 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/48 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/48 (PI.f64))))
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(log1p.f64 (expm1.f64 (*.f64 1/48 (PI.f64))))
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(.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 1/576 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 -1/24 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (PI.f64)) 3) (pow.f64 (.f64 1/8 (PI.f64)) 3)) (+.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (-.f64 (.f64 1/576 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/8 (PI.f64)) (*.f64 -1/24 (PI.f64))))))
(pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))))) 1)
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4)))
(/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 2) (/.f64 (PI.f64) (.f64 (cbrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))))) 4)))
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(/.f64 (.f64 4 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (neg.f64 (PI.f64)))
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(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 1) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 1/2 (sqrt.f64 (PI.f64)))) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.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 (neg.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 2))
(log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 1/512) -16))) 1)
(*.f64 1 (pow.f64 (log.f64 1/512) -16))
(*.f64 (pow.f64 (log.f64 1/512) -16) 1)
(*.f64 (pow.f64 (log.f64 1/512) -8) (pow.f64 (log.f64 1/512) -8))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/512) -16)) (cbrt.f64 (pow.f64 (log.f64 1/512) -32)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/512) -32)) (cbrt.f64 (pow.f64 (log.f64 1/512) -16)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/512)) -16) (pow.f64 (sqrt.f64 (log.f64 1/512)) -16))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/512)) 2) -16) (pow.f64 (cbrt.f64 (log.f64 1/512)) -16))
(sqrt.f64 (pow.f64 (log.f64 1/512) -32))
(log.f64 (exp.f64 (pow.f64 (log.f64 1/512) -16)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 1/512) -16))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 1/512) -16) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 1/512) -16)))
(exp.f64 (*.f64 -16 (log.f64 (log.f64 1/512))))
(exp.f64 (.f64 (.f64 -16 (log.f64 (log.f64 1/512))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 1/512) -16)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.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 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1)
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (log.f64 (.f64 (PI.f64) (/.f64 f 4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (log.f64 (.f64 (PI.f64) (/.f64 f 4))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
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(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))

eval135.0ms (0.7%)

Compiler: Compiled 7055 to 5256 computations (25.5% saved)

prune81.0ms (0.4%)

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	260	19	279
Fresh	1	8	9
Picked	1	4	5
Done	1	3	4
Total	263	34	297

Accuracy

98.7%

Counts

297 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 2))
✓	9.8%	(neg.f64 (pow.f64 (log.f64 1/512) -16))
	13.5%	(neg.f64 (/.f64 (log.f64 1/512) -16))
	6.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
	97.4%	(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4))))
	9.8%	(neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/512)) 2) -16) (pow.f64 (cbrt.f64 (log.f64 1/512)) -16)))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.9%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
✓	96.9%	(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))))))))
	16.1%	(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
	96.9%	(neg.f64 (.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)))
	96.6%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
	95.5%	(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3)))
	10.0%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
	16.0%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
	17.3%	(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
	97.5%	(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
✓	97.0%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
✓	97.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
✓	6.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
✓	14.8%	(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
	96.9%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	95.4%	(neg.f64 (.f64 4 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	95.5%	(neg.f64 (.f64 4 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.6%	(neg.f64 (.f64 4 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	97.0%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
	95.8%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	95.9%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	96.6%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
	96.6%	(neg.f64 (.f64 4 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
	9.8%	(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
	76.5%	(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1)))
✓	1.6%	(neg.f64 (log.f64 1/512))
	14.7%	(neg.f64 (fabs.f64 (log.f64 1/512)))

Compiler

Compiled 1333 to 1036 computations (22.3% saved)

regimes84.0ms (0.5%)

Counts

47 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(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 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (.f64 4 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/512)) 2) -16) (pow.f64 (cbrt.f64 (log.f64 1/512)) -16)))
(neg.f64 (.f64 4 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 2))
(neg.f64 (.f64 4 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2))))))))

Outputs

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

Calls

6 calls:

20.0ms	f
20.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms	(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
97.7%	1	`f`
97.7%	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))))))))`
97.7%	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)))))))`
97.7%	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))))))`
97.7%	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)))))`
97.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 928 to 695 computations (25.1% saved)

regimes79.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(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 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (.f64 4 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (.f64 4 (-.f64 (+.f64 (/.f64 f (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/512)) 2) -16) (pow.f64 (cbrt.f64 (log.f64 1/512)) -16)))
(neg.f64 (.f64 4 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))))) 2))
(neg.f64 (.f64 4 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))

Calls

6 calls:

20.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
19.0ms	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	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms	(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
97.5%	1	`f`
97.5%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
97.5%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
97.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
97.5%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 838 to 629 computations (24.9% saved)

regimes22.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(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 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`f`

Compiler

Compiled 313 to 247 computations (21.1% saved)

regimes17.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) (log.f64 20480/20587))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`f`

Compiler

Compiled 158 to 138 computations (12.7% saved)

regimes11.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 20480/20587)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (log.f64 20480/20587) -16)))
(neg.f64 (sqrt.f64 (pow.f64 (log.f64 1/512) -32)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) (log.f64 107/20480)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fabs.f64 (log.f64 20480/20587))))

Outputs
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
17.3%	1	`f`

Compiler

Compiled 98 to 91 computations (7.1% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))

Outputs
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
16.1%	1	`f`

Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (pow.f64 (log.f64 1/512) -16))

Outputs
(neg.f64 (fabs.f64 (log.f64 1/512)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
14.7%	1	`f`

Compiler

Compiled 20 to 19 computations (5% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))
(neg.f64 (/.f64 (log.f64 1/512) -16))

Outputs
(neg.f64 (/.f64 (log.f64 1/512) -16))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
13.5%	1	`f`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 1/512))

Outputs
(neg.f64 (log.f64 1/512))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

238×	`distribute-lft-neg-in`
190×	`distribute-neg-out`
187×	`distribute-lft-neg-out`
158×	`distribute-rgt-neg-out`
155×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	388
1	134	388
2	205	388
3	263	384
4	302	384
5	330	384
6	457	384
7	938	384
8	1752	384
9	1769	384
10	1794	384
11	1823	384
12	1858	384
13	1877	384
14	1914	384
15	1920	384
16	1920	384

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(neg.f64 (log.f64 1/512))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 1/4) (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) (neg.f64 1/4))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (PI.f64)) (neg.f64 4))
(.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) (neg.f64 f)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))) (PI.f64)))
(.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (neg.f64 (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(.f64 4 (neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))))
(.f64 4 (/.f64 (neg.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 4) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(.f64 4 (neg.f64 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64))))
(.f64 4 (/.f64 (neg.f64 (.f64 (log.f64 107/20480) -16)) (PI.f64)))
(.f64 4 (/.f64 (.f64 (log.f64 107/20480) (neg.f64 -16)) (PI.f64)))
(.f64 (/.f64 (.f64 (log.f64 107/20480) -16) (PI.f64)) (neg.f64 4))
(neg.f64 (*.f64 (log.f64 1/512) (log.f64 1/512)))
(*.f64 (log.f64 1/512) (neg.f64 (log.f64 1/512)))
(neg.f64 (fabs.f64 (log.f64 1/512)))
(neg.f64 (/.f64 (log.f64 1/512) -16))
(/.f64 (neg.f64 (log.f64 1/512)) -16)
(neg.f64 (log.f64 1/512))

Compiler

Compiled 118 to 100 computations (15.3% saved)

soundness2.0s (10.8%)

Rules

818×	`associate-/r/`
684×	`associate-+r+`
684×	`associate-+r+`
684×	`associate-+r+`
656×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	10483
1	1300	9439
2	5744	9427
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240
0	50	294
1	770	294
0	336	6052
1	908	5650
2	3373	5634
0	50	294
1	770	294
0	50	294
1	770	294
0	50	294
1	770	294
0	336	6052
1	908	5650
2	3373	5634
0	50	294
1	770	294
0	413	10483
1	1300	9439
2	5744	9427
0	336	6052
1	908	5650
2	3373	5634
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240
0	34	164
1	432	142
2	5536	142
0	474	6979
1	1172	6341
2	5063	6341

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
1×	node limit
1×	node limit

Compiler

Compiled 1229 to 927 computations (24.6% saved)

end0.0ms (0%)

preprocess147.0ms (0.8%)

Compiler: Compiled 296 to 234 computations (20.9% saved)

analyze286.0ms (1.6%)

sample8.5s (47.4%)

preprocess952.0ms (5.3%)

eval3.0ms (0%)

prune2.0ms (0%)

localize568.0ms (3.1%)

series88.0ms (0.5%)

rewrite149.0ms (0.8%)

simplify95.0ms (0.5%)

eval57.0ms (0.3%)

prune44.0ms (0.2%)

localize2.3s (13%)

series169.0ms (0.9%)

rewrite70.0ms (0.4%)

simplify144.0ms (0.8%)

eval161.0ms (0.9%)

prune54.0ms (0.3%)

localize576.0ms (3.2%)

series12.0ms (0.1%)

rewrite65.0ms (0.4%)

simplify98.0ms (0.5%)

eval159.0ms (0.9%)

prune62.0ms (0.3%)

localize369.0ms (2%)

series47.0ms (0.3%)

rewrite171.0ms (0.9%)

simplify118.0ms (0.7%)

eval135.0ms (0.7%)

prune81.0ms (0.4%)

regimes84.0ms (0.5%)

regimes79.0ms (0.4%)

regimes22.0ms (0.1%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify68.0ms (0.4%)

soundness2.0s (10.8%)

end0.0ms (0%)

preprocess147.0ms (0.8%)

Profiling