Metrics for VandenBroeck and Keller, Equation (20)

analyze442.0ms (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
25%	25%	75%	0%	0%	0%	0%	3
25%	25%	75%	0%	0%	0%	0%	4
25%	25%	75%	0%	0%	0%	0%	5
29%	28.1%	68.7%	0%	0%	3.1%	0%	6
29%	28.1%	68.7%	0%	0%	3.1%	0%	7
29%	28.1%	68.7%	0%	0%	3.1%	0%	8
29.1%	28.1%	68.3%	0%	0%	3.5%	0%	9
29.2%	28.1%	68.1%	0%	0%	3.7%	0%	10
29.2%	28.1%	68%	0%	0%	3.8%	0%	11
29.2%	28.1%	68%	0%	0%	3.8%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample17.4s (63.1%)

Results

8.2s	7733×	body	8192	exit
2.6s	4057×	body	1024	valid
2.2s	3876×	body	1024	invalid
1.4s	7746×	body	256	unsamplable
850.0ms	1990×	body	512	valid
792.0ms	1965×	body	512	invalid
657.0ms	513×	body	2048	valid
389.0ms	1696×	body	256	valid
247.0ms	1026×	body	256	invalid
1.0ms	1×	body	2048	invalid

Bogosity

preprocess860.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1436×	`times-frac`
1336×	`fma-def`
954×	`associate-/r*`
602×	`associate-*r/`
586×	`associate-/l*`

Problems

250×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
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)))))`
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))))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	397
1	91	363
2	240	327
3	720	327
4	2345	327

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)))))))))

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

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 114 computations (32.5% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.0%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
▶	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))))))))
▶	5.0%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
▶	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))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.7s (6.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
✓	99.5%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
✓	97.7%	(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
✓	9.3%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
✓	99.6%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	97.7%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	9.3%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 342 to 236 computations (31% saved)

series201.0ms (0.7%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
43.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
35.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
35.0ms	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)))))))
30.0ms	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)))))))
21.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`add-sqr-sqrt`
644×	`pow1`
642×	`*-un-lft-identity`
620×	`add-exp-log`
616×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	200
1	686	200

Stop Event

1×	node limit

Counts

8 → 248

Calls

Call 1

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

Outputs
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1862×	`fma-def`
1378×	`times-frac`
936×	`distribute-lft-in`
930×	`distribute-rgt-in`
834×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	9248
1	543	8488
2	2063	7892

Stop Event

1×	node limit

Counts

344 → 107

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
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(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.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 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 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 (.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)))))
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(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (fma.f64 f (.f64 (PI.f64) 0) (.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))) (neg.f64 (log.f64 f))))
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(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (fma.f64 f (.f64 (PI.f64) 0) (.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))) (neg.f64 (log.f64 f))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (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))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (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))))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
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-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval107.0ms (0.4%)

Compiler: Compiled 5031 to 3780 computations (24.9% saved)

prune94.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	10	107
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	99	10	109

Accuracy

97.5%

Counts

109 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
▶	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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)))) 262144))))
	97.1%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
▶	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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)))) 262144))))

Compiler

Compiled 1204 to 968 computations (19.6% saved)

localize1.1s (4.1%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	99.7%	(.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)))
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	98.1%	(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))))
✓	99.7%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
✓	99.3%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 768 to 573 computations (25.4% saved)

series228.0ms (0.8%)

Counts

17 → 96

Calls

24 calls:

Time	Variable		Point	Expression
72.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
61.0ms	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))))
24.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
21.0ms	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))))
16.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))

rewrite176.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`add-sqr-sqrt`
798×	`pow1`
794×	`*-un-lft-identity`
782×	`add-exp-log`
774×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	407
1	942	407

Stop Event

1×	node limit

Counts

17 → 262

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.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 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1))

Outputs
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/48) 2) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) 1)
(.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 1 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (cbrt.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (sqrt.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(pow.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2)
(pow.f64 (/.f64 f (/.f64 2 (*.f64 (PI.f64) 1/2))) -1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 2) (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(exp.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) 2) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
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(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)))) 1)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) 2) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))) 2)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) 2) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`log-prod`
672×	`exp-prod`
642×	`cube-prod`
636×	`associate-r`
618×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	10920
1	1218	9616
2	5456	9462

Stop Event

1×	node limit

Counts

358 → 284

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (PI.f64) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2)))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 f 4) (+.f64 (.f64 -3/256 (pow.f64 (PI.f64) 4)) (.f64 1/256 (pow.f64 (PI.f64) 4))))) (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (PI.f64) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))))))))
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(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
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(.f64 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 (+.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 (+.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)))))))
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(.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))))
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(.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 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
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(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
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(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) 2) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f)))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f)))
(.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))) 2)
(pow.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f)) 2) (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (.f64 (PI.f64) 1/2) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1)
(pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 2)
(log.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 2) (.f64 (*.f64 (PI.f64) 1/2) f)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/48) 2) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)))) 1)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) 2) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))) 2)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) 2) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))

Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/12)

eval368.0ms (1.3%)

Compiler: Compiled 14045 to 10659 computations (24.1% saved)

prune131.0ms (0.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	397	20	417
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	403	24	427

Accuracy

97.7%

Counts

427 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
	95.7%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))) 2)))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 f (/.f64 4 (PI.f64)))))))
	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
	97.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	95.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	96.7%	(neg.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) 2) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
	95.7%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
▶	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))) 2)))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 f (/.f64 4 (PI.f64)))))))
	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
	97.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	95.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	96.7%	(neg.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) 2) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2136 to 1772 computations (17% saved)

localize597.0ms (2.2%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))))
✓	99.2%	(pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2)
✓	99.2%	(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
✓	97.7%	(PI.f64)
✓	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))))
✓	98.4%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))
✓	97.7%	(PI.f64)
✓	99.7%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 1 (*.f64 f (PI.f64)))
✓	99.5%	(.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)))))))
✓	97.7%	(PI.f64)
✓	99.7%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	97.7%	(PI.f64)
✓	99.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
✓	98.5%	(*.f64 (PI.f64) 1/12)
✓	97.7%	(PI.f64)
	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 525 to 361 computations (31.2% saved)

series12.0ms (0%)

Counts

19 → 108

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	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)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
1.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
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)))))))

rewrite180.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`add-sqr-sqrt`
838×	`pow1`
834×	`*-un-lft-identity`
806×	`add-exp-log`
798×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	411
1	983	411

Stop Event

1×	node limit

Counts

19 → 243

Calls

Call 1

Inputs
(PI.f64)
(*.f64 (PI.f64) 1/12)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(PI.f64)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(*.f64 f (PI.f64))
(PI.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)))))))
(/.f64 1 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(PI.f64)
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(PI.f64)
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) (.f64 1/2 (.f64 f f))) 0) 1/2 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) (.f64 1/2 (.f64 f f))) 0) 1/2 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) (.f64 1/2 (.f64 f f))) 0) 1/2 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) (.f64 1/2 (.f64 f f))) 0) 1/2 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) (.f64 1/2 (.f64 f f))) 0) 1/2 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 (PI.f64) 1/4)))))
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(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (.f64 (PI.f64) (.f64 1/2 f)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(-.f64 0 (log.f64 (/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 (log.f64 f) (log.f64 f) (.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(/.f64 (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (log.f64 f) (log.f64 f)))) (log.f64 (.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))
(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 1)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(log1p.f64 (-.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2))) 1)
(.f64 1 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 2))
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)) (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 2)))
(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2) (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)) (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))

simplify144.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub`
626×	`log-prod`
576×	`associate-l`
572×	`associate-r`
456×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	9743
1	946	8823
2	4697	8823

Stop Event

1×	node limit

Counts

351 → 243

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 -1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 -1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
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(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
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(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
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(+.f64 (log.f64 2) (log.f64 (/.f64 1 (.f64 (PI.f64) (.f64 1/2 f)))))
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(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
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(-.f64 0 (log.f64 (/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 (log.f64 f) (log.f64 f) (.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2))) 1)
(.f64 1 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 2))
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(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2) (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)) (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
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(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))

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

eval262.0ms (0.9%)

Compiler: Compiled 12219 to 8730 computations (28.6% saved)

prune148.0ms (0.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	461	13	474
Fresh	5	13	18
Picked	3	2	5
Done	0	1	1
Total	469	29	498

Accuracy

97.7%

Counts

498 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	97.3%	(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))))
	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
	1.6%	(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
	95.7%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
	97.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
▶	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	4.0%	(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
	97.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	96.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
	96.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))))
✓	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	97.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (PI.f64))))
	95.8%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	95.8%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
▶	4.0%	(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
▶	95.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	97.3%	(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))))
	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
	1.6%	(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
	95.7%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
	97.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
▶	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	4.0%	(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
	97.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	96.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
	96.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))))
✓	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	97.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (PI.f64))))
	95.8%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	95.8%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
▶	4.0%	(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
▶	95.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2076 to 1702 computations (18% saved)

localize334.0ms (1.2%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	98.5%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	98.5%	(sqrt.f64 (PI.f64))
	97.7%	(PI.f64)
✓	99.6%	(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))
	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	98.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
	97.7%	(PI.f64)
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	97.7%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.7%	(.f64 (PI.f64) (.f64 f f))
✓	99.7%	(.f64 1/12 (.f64 (PI.f64) (*.f64 f f)))
	97.7%	(PI.f64)
✓	99.7%	(*.f64 (PI.f64) f)
✓	99.6%	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
	97.7%	(PI.f64)

Compiler

Compiled 308 to 171 computations (44.5% saved)

series3.0ms (0%)

Counts

12 → 104

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(.f64 1/12 (.f64 (PI.f64) (*.f64 f f)))
0.0ms	f	@	inf	(.f64 1/12 (.f64 (PI.f64) (*.f64 f f)))
0.0ms	f	@	0	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
0.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`add-sqr-sqrt`
594×	`pow1`
590×	`*-un-lft-identity`
580×	`add-exp-log`
576×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
1	753	246

Stop Event

1×	node limit

Counts

12 → 400

Calls

Call 1

Inputs
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(*.f64 (PI.f64) f)
(.f64 1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 f f))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (exp.f64 (neg.f64 (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 4) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4)))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4))) (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))
(.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (/.f64 1 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1/4))
(.f64 (/.f64 1 (PI.f64)) (.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 4)
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1) (/.f64 4 (PI.f64)))
(.f64 (.f64 (/.f64 4 (PI.f64)) 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 1/12 (PI.f64))) f) 2)
(sqrt.f64 (.f64 1/144 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4))))
(log.f64 (pow.f64 (exp.f64 1/12) (.f64 (PI.f64) (.f64 f f))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)) 3))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 f f) 1/12))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f f)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 f f)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f f))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f f)) 3) 1/3)
(pow.f64 (*.f64 f (sqrt.f64 (PI.f64))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f f)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f f)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f f) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f f))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f f))) 1))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(.f64 -1 (log.f64 (.f64 (PI.f64) 1/4)))
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
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(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2))))
(/.f64 1 (/.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2))) 1))
(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 -1 (neg.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)))))
(/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)) 1/4)
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) -1/4)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 3) 1) (+.f64 (.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)))) (+.f64 1 (.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)))) 1) (+.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))) 1))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))) 1))
(+.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) -1)
(-.f64 (+.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 1)
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) 1/4)))
(.f64 4 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4)))
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 4 (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 4 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 4 (PI.f64))))
(.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 1/4))
(.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)) 4)
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 1) (/.f64 4 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 1/4))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 4) (/.f64 1 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 2))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))

simplify149.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`times-frac`
1238×	`associate-r`
1206×	`associate-l`
438×	`distribute-lft-in`
432×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	791	17906
1	1991	16518

Stop Event

1×	node limit

Counts

504 → 473

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))

Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(*.f64 f (PI.f64))
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(*.f64 f (PI.f64))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 f (*.f64 f 1/12)))
(.f64 (.f64 f f) (*.f64 (PI.f64) 1/12))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 (pow.f64 f 2) (PI.f64))
(.f64 (PI.f64) (.f64 f f))
(.f64 f (.f64 f (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
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(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))) (PI.f64))
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(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (cbrt.f64 (/.f64 4 (PI.f64)))))
(.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 2 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (sqrt.f64 (PI.f64)))))
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(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 2))
(fabs.f64 (.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
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(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3))
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(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
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(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
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(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (*.f64 (PI.f64) -1/4))) 1))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))
(.f64 -4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(sqrt.f64 (PI.f64))
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(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
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(sqrt.f64 (PI.f64))
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(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)

eval417.0ms (1.5%)

Compiler: Compiled 23283 to 13904 computations (40.3% saved)

prune202.0ms (0.7%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1188	17	1205
Fresh	11	10	21
Picked	2	3	5
Done	1	2	3
Total	1202	32	1234

Accuracy

97.7%

Counts

1234 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	5.3%	(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1))) (.f64 (PI.f64) 1/4))))
✓	97.3%	(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))))
	4.0%	(neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 1/12 (PI.f64))) f) 2))
	1.6%	(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
	97.0%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	97.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	97.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
✓	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 4) (neg.f64 (log.f64 (.f64 (PI.f64) f))))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
✓	97.0%	(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))))))))
	4.0%	(neg.f64 (.f64 (PI.f64) (.f64 f (*.f64 f 1/12))))
	4.0%	(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
	97.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	96.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	95.8%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	95.8%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	4.0%	(neg.f64 (.f64 1/12 (pow.f64 (.f64 f (sqrt.f64 (PI.f64))) 2)))
	3.3%	(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 f))))))
✓	4.0%	(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
	4.0%	(neg.f64 (.f64 1/12 (.f64 f (*.f64 f (PI.f64)))))
	4.0%	(neg.f64 (.f64 1/12 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 f f))))))
	76.3%	(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64)))))
	95.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))))
	4.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
	4.0%	(neg.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
	96.7%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3)))

Compiler

Compiled 1616 to 1223 computations (24.3% saved)

regimes120.0ms (0.4%)

Counts

62 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 1/12 (.f64 f (*.f64 f (PI.f64)))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 f (*.f64 f 1/12))))
(neg.f64 (.f64 1/12 (pow.f64 (.f64 f (sqrt.f64 (PI.f64))) 2)))
(neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 1/12 (PI.f64))) f) 2))
(neg.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (.f64 1/12 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 f f))))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 f))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (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)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64)))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 4) (neg.f64 (log.f64 (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(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 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))))
(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 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))) 2)))
(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1))) (.f64 (PI.f64) 1/4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) 2) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) 2) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (.f64 (PI.f64) 1/12) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) 1) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (.f64 (.f64 (PI.f64) 1/2) (.f64 f f)) 0) 1/2 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.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 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))

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

Calls

6 calls:

34.0ms	f
30.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
9.0ms	(.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)))))))
9.0ms	(/.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)))))
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))))))

Results

Accuracy	Segments	Branch
97.3%	1	`f`
97.3%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
97.3%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
97.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
97.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1280 to 940 computations (26.6% saved)

regimes35.0ms (0.1%)

Counts

41 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 1/12 (.f64 f (*.f64 f (PI.f64)))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 f (*.f64 f 1/12))))
(neg.f64 (.f64 1/12 (pow.f64 (.f64 f (sqrt.f64 (PI.f64))) 2)))
(neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 1/12 (PI.f64))) f) 2))
(neg.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (.f64 1/12 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 f f))))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 f))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (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)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8)))) (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 4 (PI.f64)))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 4) (neg.f64 (log.f64 (.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(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 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))))
(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 (/.f64 (log.f64 (/.f64 4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1/2)) (.f64 (PI.f64) -1/4)) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))) 2)))

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`f`

Compiler

Compiled 545 to 399 computations (26.8% saved)

regimes10.0ms (0%)

Accuracy

Total -0.4b remaining (-0.7%)

Threshold costs -0.4b (-0.7%)

Counts

10 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 1/12 (.f64 f (*.f64 f (PI.f64)))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 1/12 (*.f64 f f))))
(neg.f64 (.f64 (PI.f64) (.f64 f (*.f64 f 1/12))))
(neg.f64 (.f64 1/12 (pow.f64 (.f64 f (sqrt.f64 (PI.f64))) 2)))
(neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 1/12 (PI.f64))) f) 2))
(neg.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 f f) 1/12)))))
(neg.f64 (.f64 1/12 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 f f))))))
(neg.f64 (.f64 1/12 (.f64 (PI.f64) (*.f64 f (log.f64 (exp.f64 f))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
4.0%	1	`f`

Compiler

Compiled 93 to 60 computations (35.5% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
22×	`sub-neg`
22×	`neg-mul-1`
22×	`+-commutative`
22×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121
1	50	121
2	78	121
3	100	121
4	112	121
5	117	121
6	118	121

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

(neg.f64 (*.f64 1/12 (*.f64 f (*.f64 f (PI.f64)))))

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

Compiler

Compiled 40 to 31 computations (22.5% saved)

soundness1.5s (5.5%)

Rules

1862×	`fma-def`
1862×	`fma-def`
1460×	`times-frac`
1378×	`times-frac`
1378×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	9248
1	543	8488
2	2063	7892
0	43	407
1	942	407
0	535	10920
1	1218	9616
2	5456	9462
0	447	9743
1	946	8823
2	4697	8823
0	447	9743
1	946	8823
2	4697	8823
0	791	17906
1	1991	16518
0	186	9248
1	543	8488
2	2063	7892
0	535	10920
1	1218	9616
2	5456	9462

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

Compiler

Compiled 952 to 719 computations (24.5% saved)

end0.0ms (0%)

preprocess53.0ms (0.2%)

Compiler: Compiled 152 to 112 computations (26.3% saved)

analyze442.0ms (1.6%)

sample17.4s (63.1%)

preprocess860.0ms (3.1%)

eval3.0ms (0%)

prune4.0ms (0%)

localize1.7s (6.3%)

series201.0ms (0.7%)

rewrite89.0ms (0.3%)

simplify113.0ms (0.4%)

eval107.0ms (0.4%)

prune94.0ms (0.3%)

localize1.1s (4.1%)

series228.0ms (0.8%)

rewrite176.0ms (0.6%)

simplify193.0ms (0.7%)

eval368.0ms (1.3%)

prune131.0ms (0.5%)

localize597.0ms (2.2%)

series12.0ms (0%)

rewrite180.0ms (0.7%)

simplify144.0ms (0.5%)

eval262.0ms (0.9%)

prune148.0ms (0.5%)

localize334.0ms (1.2%)

series3.0ms (0%)

rewrite113.0ms (0.4%)

simplify149.0ms (0.5%)

eval417.0ms (1.5%)

prune202.0ms (0.7%)

regimes120.0ms (0.4%)

regimes35.0ms (0.1%)

regimes10.0ms (0%)

simplify8.0ms (0%)

soundness1.5s (5.5%)

end0.0ms (0%)

preprocess53.0ms (0.2%)

Profiling