Metrics for VandenBroeck and Keller, Equation (20)

analyze547.0ms (1.2%)

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)

sample29.1s (64.5%)

Results

14.0s	7894×	body	8192	exit
4.0s	4011×	body	1024	valid
3.8s	4247×	body	1024	invalid
2.5s	7874×	body	256	unsamplable
1.6s	2050×	body	512	valid
1.4s	2043×	body	512	invalid
811.0ms	537×	body	2048	valid
620.0ms	1658×	body	256	valid
321.0ms	958×	body	256	invalid
2.0ms	3×	body	2048	invalid

Bogosity

preprocess90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

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 38 to 30 computations (21.1% saved)

eval3.0ms (0%)

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

prune6.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.7%	(*.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)))
▶	6.8%	(.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))))
▶	6.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.7%	(*.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)))
▶	6.8%	(.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))))
▶	6.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 214 to 160 computations (25.2% saved)

localize3.1s (6.8%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.3%	(*.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)))
✓	99.2%	(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)))))
✓	96.9%	(/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
✓	12.1%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
✓	99.3%	(.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))))
✓	99.2%	(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))))))
✓	96.9%	(/.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)))))
✓	12.1%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	99.2%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	96.9%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	12.1%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 500 to 328 computations (34.4% saved)

series192.0ms (0.4%)

Counts

12 → 144

Calls

36 calls:

Time	Variable		Point	Expression
37.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
37.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
27.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
21.0ms	f	@	inf	(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))))))
18.0ms	f	@	-inf	(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))))))

rewrite101.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`add-sqr-sqrt`
716×	`pow1`
714×	`*-un-lft-identity`
688×	`add-exp-log`
682×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	636
1	980	354

Stop Event

1×	node limit

Counts

12 → 276

Calls

Call 1

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

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

simplify266.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

662×	`log-prod`
494×	`associate-r`
426×	`associate-l`
424×	`distribute-lft-neg-in`
422×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	26820
1	1047	20040
2	4506	19098

Stop Event

1×	node limit

Counts

420 → 200

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 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 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
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(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f)))) -4) (PI.f64))
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(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 -1/4 f))))) (/.f64 4 (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))) (/.f64 -4 (PI.f64)))
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eval139.0ms (0.3%)

Compiler: Compiled 7646 to 5779 computations (24.4% saved)

prune63.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	191	9	200
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	194	9	203

Accuracy

99.0%

Counts

203 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	94.8%	(.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
▶	6.8%	(.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)))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)))))))
▶	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	94.8%	(.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
▶	6.8%	(.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)))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)))))))
▶	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))

Compiler

Compiled 880 to 712 computations (19.1% saved)

localize1.8s (3.9%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.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))
✓	99.2%	(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)))))))
✓	96.9%	(/.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))))))
✓	12.1%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
✓	99.6%	(pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f))) 2))))
✓	99.2%	(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)))
✓	55.9%	(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2))
✓	99.7%	(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
✓	99.5%	(/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	99.7%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)
✓	98.4%	(fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))

Compiler

Compiled 668 to 477 computations (28.6% saved)

series483.0ms (1.1%)

Counts

19 → 148

Calls

42 calls:

Time	Variable		Point	Expression
123.0ms	f	@	0	(/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))
70.0ms	f	@	-inf	(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)))
70.0ms	f	@	inf	(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)))
39.0ms	f	@	-inf	(/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))
26.0ms	f	@	inf	(/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))

rewrite258.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`pow1`
1080×	`add-exp-log`
1068×	`add-log-exp`
1066×	`log1p-expm1-u`
1066×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	767
1	1227	767

Stop Event

1×	node limit

Counts

19 → 182

Calls

Call 1

Inputs
(fma.f64 1/16 (.f64 1 (/.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) 1/192)
(pow.f64 (PI.f64) 3)
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(.f64 (.f64 (PI.f64) 1/2) f)
(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f))) 2))))
(pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) -1/4) f))) 2)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(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 (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))

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

simplify170.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-r`
1202×	`associate-l`
856×	`fma-def`
518×	`times-frac`
518×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	740	23906
1	1917	19144

Stop Event

1×	node limit

Counts

330 → 368

Calls

Call 1

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

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

eval649.0ms (1.4%)

Compiler: Compiled 17574 to 13319 computations (24.2% saved)

prune197.0ms (0.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	341	27	368
Fresh	1	3	4
Picked	5	0	5
Done	0	0	0
Total	347	30	377

Accuracy

99.2%

Counts

377 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	94.8%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	94.8%	(*.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
	93.2%	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
▶	94.3%	(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	94.8%	(*.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	93.7%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
▶	93.6%	(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	94.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
	6.6%	(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
▶	94.9%	(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))
	94.8%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (fma.f64 1/2 (/.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))
	6.8%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
	94.8%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	94.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 4 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) -1/96 (.f64 (PI.f64) 1/8)))))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)))))))
	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
	93.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	93.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3))))
	76.1%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
▶	93.4%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
	93.5%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	94.8%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	94.8%	(*.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
	93.2%	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
▶	94.3%	(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	94.8%	(*.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	93.7%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
▶	93.6%	(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
	94.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
	6.6%	(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
▶	94.9%	(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))
	94.8%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (fma.f64 1/2 (/.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))
	6.8%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
	94.8%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	94.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 4 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) -1/96 (.f64 (PI.f64) 1/8)))))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)))))))
	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
	93.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	93.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3))))
	76.1%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
▶	93.4%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
	93.5%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2740 to 2208 computations (19.4% saved)

localize897.0ms (2%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
✓	99.3%	(*.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
✓	97.0%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	95.8%	(PI.f64)
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
✓	98.4%	(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
✓	97.0%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	95.8%	(PI.f64)
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4))
✓	99.4%	(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
✓	98.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4))))
✓	95.8%	(PI.f64)
✓	99.7%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (PI.f64))
✓	95.8%	(PI.f64)
✓	98.5%	(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
✓	98.5%	(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))
	98.5%	(pow.f64 (PI.f64) 3)
✓	95.8%	(PI.f64)

Compiler

Compiled 581 to 434 computations (25.3% saved)

series8.0ms (0%)

Counts

19 → 120

Calls

30 calls:

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

rewrite188.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`add-sqr-sqrt`
810×	`pow1`
800×	`*-un-lft-identity`
786×	`add-exp-log`
780×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	439
1	908	399

Stop Event

1×	node limit

Counts

19 → 304

Calls

Call 1

Inputs
(PI.f64)
(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192)
(PI.f64)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (PI.f64))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(PI.f64)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4))))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4))
(PI.f64)
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
(PI.f64)
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))

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)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96)))) 1)
(.f64 1 (fma.f64 (.f64 1/16 (PI.f64)) 2 (*.f64 (/.f64 (PI.f64) 1/4) -1/96)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))) (cbrt.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96)))) (cbrt.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(.f64 (sqrt.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))) (sqrt.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(/.f64 (+.f64 (.f64 1/4096 (pow.f64 (.f64 (PI.f64) 2) 3)) (.f64 (pow.f64 (/.f64 (PI.f64) 1/4) 3) -1/884736)) (+.f64 (pow.f64 (.f64 1/16 (.f64 (PI.f64) 2)) 2) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96) 2) (.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (/.f64 (PI.f64) 1/4) -1/96)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/16 (.f64 (PI.f64) 2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96) 2)) (-.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (/.f64 (PI.f64) 1/4) -1/96)))
(pow.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96)))))
(log.f64 (.f64 (exp.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (exp.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) (exp.f64 (.f64 1/16 (.f64 (PI.f64) 2)))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) 2) (fma.f64 (.f64 1/16 (PI.f64)) 2 (*.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(exp.f64 (log.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (*.f64 (/.f64 (PI.f64) 1/4) -1/96))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 1/16 (PI.f64)) 2 (.f64 (/.f64 (PI.f64) 1/4) -1/96))))
(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 (PI.f64) 1/4) -1/96))
(fma.f64 (.f64 (PI.f64) 2) 1/16 (.f64 (/.f64 (PI.f64) 1/4) -1/96))
(fma.f64 (/.f64 (PI.f64) 1/4) -1/96 (.f64 1/16 (.f64 (PI.f64) 2)))
(fma.f64 (.f64 (/.f64 (PI.f64) 1/4) 1/192) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 -2 (.f64 (/.f64 (PI.f64) 1/4) 1/192) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 1 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))
(fma.f64 1 (.f64 (/.f64 (PI.f64) 1/4) -1/96) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (.f64 (/.f64 (PI.f64) 1/4) -1/96))
(fma.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) (cbrt.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96))) (cbrt.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) (.f64 1/16 (.f64 (PI.f64) 2)))
(fma.f64 (sqrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (*.f64 (/.f64 (PI.f64) 1/4) -1/96))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) (sqrt.f64 (.f64 (/.f64 (PI.f64) 1/4) -1/96)) (.f64 1/16 (.f64 (PI.f64) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
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(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(-.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)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 1)
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(cbrt.f64 (pow.f64 (PI.f64) 3))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 0 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (sqrt.f64 (.f64 (/.f64 2 (PI.f64)) 2))))
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(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 0 (log.f64 (/.f64 1/2 (/.f64 2 (PI.f64)))))
(-.f64 (log.f64 (neg.f64 (/.f64 2 (PI.f64)))) (log.f64 -1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))) 1)
(.f64 1 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))
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(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
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(log1p.f64 (-.f64 (*.f64 (/.f64 2 (PI.f64)) 2) 1))
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))) 1)
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(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
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(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
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(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))

simplify207.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1268×	`fma-def`
590×	`div-sub`
466×	`log-prod`
430×	`exp-prod`
424×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	10316
1	829	9938
2	3396	9074

Stop Event

1×	node limit

Counts

424 → 205

Calls

Call 1

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

eval596.0ms (1.3%)

Compiler: Compiled 12522 to 9495 computations (24.2% saved)

prune169.0ms (0.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	460	14	474
Fresh	12	13	25
Picked	5	0	5
Done	0	0	0
Total	477	27	504

Accuracy

99.2%

Counts

504 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	94.8%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	94.7%	(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
	95.0%	(.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2)) -4)
▶	94.9%	(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
	93.7%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
	94.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
▶	94.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	6.6%	(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
	94.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
	3.2%	(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
	94.9%	(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))
	93.6%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))))
	6.8%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
	94.9%	(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
▶	94.8%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (/.f64 (PI.f64) 1/4) -1/96 (.f64 1/16 (.f64 (PI.f64) 2))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (.f64 (/.f64 (PI.f64) 1/4) -1/96)))))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)))))))
▶	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
	93.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	94.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	76.1%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	94.8%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	94.7%	(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
	95.0%	(.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2)) -4)
▶	94.9%	(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
	93.7%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
	94.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
▶	94.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	6.6%	(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
	94.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
	3.2%	(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
	94.9%	(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))
	93.6%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))))
	6.8%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
	94.9%	(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
▶	94.8%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (/.f64 (PI.f64) 1/4) -1/96 (.f64 1/16 (.f64 (PI.f64) 2))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (.f64 (/.f64 (PI.f64) 1/4) -1/96)))))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)))))))
▶	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
	93.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
	94.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	76.1%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2260 to 1828 computations (19.1% saved)

localize1.2s (2.7%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))))
✓	99.2%	(log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)))
✓	55.9%	(sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2))
✓	99.9%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
✓	99.4%	(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
✓	93.8%	(expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))))))
✓	99.0%	(.f64 f (+.f64 (/.f64 (PI.f64) -24) (.f64 (PI.f64) 1/8)))
✓	98.4%	(+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))
✓	98.4%	(/.f64 (PI.f64) -24)

Compiler

Compiled 391 to 282 computations (27.9% saved)

series43.0ms (0.1%)

Counts

18 → 176

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))))))
3.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))))))
3.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))))))
3.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))))
3.0ms	f	@	0	(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)

rewrite399.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`add-sqr-sqrt`
906×	`pow1`
902×	`*-un-lft-identity`
882×	`add-exp-log`
874×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	506
1	1016	506

Stop Event

1×	node limit

Counts

18 → 172

Calls

Call 1

Inputs
(/.f64 (PI.f64) -24)
(+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))
(.f64 f (+.f64 (/.f64 (PI.f64) -24) (.f64 (PI.f64) 1/8)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8))))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) 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 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2))
(log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)

Outputs
(*.f64 (PI.f64) -1/24)
(.f64 1 (.f64 (PI.f64) -1/24))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) -1/24)) (cbrt.f64 (.f64 (PI.f64) -1/24))) (cbrt.f64 (*.f64 (PI.f64) -1/24)))
(.f64 (sqrt.f64 (.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) -1/24)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) -1/24)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(.f64 1 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)))
(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))) (cbrt.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)))) (cbrt.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(.f64 (sqrt.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))) (sqrt.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) -1/24) 3) (pow.f64 (.f64 (PI.f64) 1/8) 3)) (+.f64 (.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) -1/24)) (-.f64 (.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) 1/8)) (.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) -1/24)) (.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) 1/8))) (-.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)))
(pow.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) 1)
(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(cbrt.f64 (.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))) (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))))
(+.f64 (.f64 f (.f64 (PI.f64) -1/24)) (.f64 f (.f64 (PI.f64) 1/8)))
(+.f64 (.f64 (.f64 (PI.f64) -1/24) f) (.f64 (.f64 (PI.f64) 1/8) f))
(pow.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f) 1)
(log.f64 (exp.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f)))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f)) (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f)))
(exp.f64 (log.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) f)))
(/.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64))) (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))) (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (+.f64 (.f64 (+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8)) f) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 4 (PI.f64)))))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
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simplify375.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1200×	`associate-r`
1148×	`associate-l`
852×	`fma-def`
672×	`log-prod`
508×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	19360
1	1635	15746
2	7688	15746

Stop Event

1×	node limit

Counts

348 → 329

Calls

Call 1

Inputs
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(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
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(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
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(log1p.f64 (expm1.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(/.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(.f64 1 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -2))
(.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1) (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(log.f64 (exp.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2) (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)) (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(exp.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4))) -2))
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))

Outputs
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
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(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 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 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64))
(/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (PI.f64))
(.f64 1 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) (sqrt.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(pow.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2) 1/2)
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2))
(pow.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1) 1)
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(log.f64 (exp.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2) (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))
(cbrt.f64 (.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(exp.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))
(/.f64 1 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))
(.f64 1 (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))) (cbrt.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (sqrt.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(pow.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) 1)
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(cbrt.f64 (.f64 (.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(cbrt.f64 (.f64 (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (.f64 (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(log1p.f64 (expm1.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(/.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)) (*.f64 (PI.f64) 1/4))
(/.f64 (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (.f64 (PI.f64) 1/4))
(.f64 -4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4)))) (PI.f64)))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))) 1)
(.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64))
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))) (.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (.f64 (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1)))))
(.f64 (/.f64 4 (PI.f64)) (.f64 -1 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(/.f64 (.f64 -4 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))))) (PI.f64))
(.f64 1 (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -2))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -1) (pow.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4)) -1))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(log.f64 (exp.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(cbrt.f64 (.f64 (.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2) (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)) (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(cbrt.f64 (.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2) (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -4)))
(cbrt.f64 (pow.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(exp.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) -1/4))) -2))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) -1/4)) -2)))
(pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) -1/4))) -2)

eval645.0ms (1.4%)

Compiler: Compiled 12338 to 9532 computations (22.7% saved)

prune210.0ms (0.5%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	319	10	329
Fresh	10	12	22
Picked	2	3	5
Done	0	0	0
Total	331	25	356

Accuracy

99.2%

Counts

356 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	94.8%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	94.7%	(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
✓	94.9%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	6.6%	(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
	94.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
	6.8%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
	93.5%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	93.6%	(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	6.8%	(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))
	93.7%	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	93.6%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	6.8%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
	1.7%	(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)))
	94.9%	(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
✓	94.8%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	6.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))
✓	53.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
	94.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
	76.0%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
	93.4%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.5%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))

Compiler

Compiled 1739 to 1308 computations (24.8% saved)

regimes594.0ms (1.3%)

Counts

63 → 2

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)))
(.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))))
(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
(.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 (PI.f64) -1/4) f))) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (/.f64 (PI.f64) 1/4) -1/96 (.f64 1/16 (.f64 (PI.f64) 2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/192) -2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 4 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) -1/96 (.f64 (PI.f64) 1/8)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 1/16 (.f64 1 (/.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 (.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (fma.f64 1/2 (/.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.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 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (fma.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) 2))) (.f64 (/.f64 (PI.f64) 1/4) -1/96)))))))
(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.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))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(*.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)))
(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) (cbrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (PI.f64)))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) 3)))
(.f64 -4 (/.f64 (cbrt.f64 (pow.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)))))) 3)) (PI.f64)))

Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))

Calls

6 calls:

149.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
149.0ms	f
72.0ms	(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))))))
36.0ms	(.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)))))))
35.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
98.8%	2	`f`
98.8%	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
97.7%	2	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.7%	2	`(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%	2	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
98.8%	2	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1417 to 1049 computations (26% saved)

regimes103.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)))
(.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))))
(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))) (PI.f64)))
(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)))) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (*.f64 (PI.f64) 1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)) 3)) -4)
(.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 2)) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (+.f64 (/.f64 (PI.f64) -24) (*.f64 (PI.f64) 1/8)))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))) -4)
(*.f64 (/.f64 (+.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)))) (neg.f64 (log.f64 f))) (PI.f64)) -4)

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))

Calls

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
95.1%	1	`f`

Compiler

Compiled 625 to 473 computations (24.3% saved)

regimes80.0ms (0.2%)

Accuracy

Total -59.7b remaining (-1821.9%)

Threshold costs -59.7b (-1821.9%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)))
(.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
94.9%	1	`f`

Compiler

Compiled 215 to 160 computations (25.6% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.928953076181227e-43	2.613606870690238e-40

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

34×	`neg-mul-1`
32×	`*-commutative`
22×	`unsub-neg`
18×	`distribute-lft-neg-in`
18×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	215
1	70	215
2	88	215
3	98	207
4	105	207
5	128	207
6	160	207

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) -2))))))

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 f (*.f64 (PI.f64) 1/12))))))

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

Outputs
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2)))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6277101735386681/6277101735386680763835789423207666416102355444464034512896) (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) -1/4))) -2))) (/.f64 -1 (/.f64 (PI.f64) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))

Compiler

Compiled 67 to 54 computations (19.4% saved)

soundness2.1s (4.7%)

Rules

1436×	`times-frac`
1336×	`fma-def`
1284×	`associate-r`
1284×	`associate-r`
1268×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	397
1	91	363
2	240	327
3	720	327
4	2345	327
0	740	23906
1	1917	19144
0	408	10316
1	829	9938
2	3396	9074
0	42	636
1	980	354
0	56	767
1	1227	767
0	740	23906
1	1917	19144
0	369	26820
1	1047	20040
2	4506	19098
0	56	767
1	1227	767
0	43	439
1	908	399
0	408	10316
1	829	9938
2	3396	9074
0	612	19360
1	1635	15746
2	7688	15746

Stop Event

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

Compiler

Compiled 1445 to 1152 computations (20.3% saved)

end0.0ms (0%)

preprocess138.0ms (0.3%)

Compiler: Compiled 206 to 160 computations (22.3% saved)

analyze547.0ms (1.2%)

sample29.1s (64.5%)

preprocess90.0ms (0.2%)

eval3.0ms (0%)

prune6.0ms (0%)

localize3.1s (6.8%)

series192.0ms (0.4%)

rewrite101.0ms (0.2%)

simplify266.0ms (0.6%)

eval139.0ms (0.3%)

prune63.0ms (0.1%)

localize1.8s (3.9%)

series483.0ms (1.1%)

rewrite258.0ms (0.6%)

simplify170.0ms (0.4%)

eval649.0ms (1.4%)

prune197.0ms (0.4%)

localize897.0ms (2%)

series8.0ms (0%)

rewrite188.0ms (0.4%)

simplify207.0ms (0.5%)

eval596.0ms (1.3%)

prune169.0ms (0.4%)

localize1.2s (2.7%)

series43.0ms (0.1%)

rewrite399.0ms (0.9%)

simplify375.0ms (0.8%)

eval645.0ms (1.4%)

prune210.0ms (0.5%)

regimes594.0ms (1.3%)

regimes103.0ms (0.2%)

regimes80.0ms (0.2%)

bsearch2.0ms (0%)

simplify11.0ms (0%)

soundness2.1s (4.7%)

end0.0ms (0%)

preprocess138.0ms (0.3%)

Profiling