Metrics for VandenBroeck and Keller, Equation (20)

analyze418.0ms (1.4%)

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)

sample16.8s (55.3%)

Results

7.8s	7776×	body	8192	exit
2.4s	4040×	body	1024	valid
2.2s	4066×	body	1024	invalid
1.4s	7747×	body	256	unsamplable
936.0ms	2073×	body	512	valid
699.0ms	2018×	body	512	invalid
616.0ms	527×	body	2048	valid
412.0ms	1616×	body	256	valid
229.0ms	1034×	body	256	invalid

Bogosity

preprocess60.0ms (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)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(*.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)))
▶	6.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.1%	(*.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)))
▶	6.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.8s (5.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.4%	(*.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)))
✓	98.9%	(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)))))
✓	97.0%	(/.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))))
✓	11.6%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.9%	(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))))))
✓	97.0%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	11.6%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 342 to 236 computations (31% saved)

series222.0ms (0.7%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
47.0ms	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))))))
42.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
39.0ms	f	@	inf	(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)))))
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))))))
20.0ms	f	@	-inf	(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)))))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	200
1	686	200

Stop Event

1×	node limit

Counts

8 → 248

Calls

Call 1

Inputs
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
(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 (/.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
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify166.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	9248
1	543	8488
2	2064	7892

Stop Event

1×	node limit

Counts

344 → 104

Calls

Call 1

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

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
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-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-6
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/64
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval126.0ms (0.4%)

Compiler: Compiled 4934 to 3728 computations (24.4% saved)

prune52.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	95	11	106

Accuracy

96.4%

Counts

106 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.3%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
▶	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
	95.5%	(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 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))))
	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 (PI.f64) (*.f64 f 1/2))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.3%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
▶	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
	95.5%	(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 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))))
	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 (PI.f64) (*.f64 f 1/2))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))

Compiler

Compiled 1372 to 1104 computations (19.5% saved)

localize2.7s (8.8%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.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))))))) (/.f64 -4 (PI.f64)))
✓	98.9%	(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)))))))
✓	97.0%	(/.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))))))
✓	11.6%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
✓	99.9%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓	97.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	99.6%	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
✓	99.5%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
✓	99.5%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	99.6%	(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
✓	99.5%	(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))

Compiler

Compiled 670 to 464 computations (30.7% saved)

series231.0ms (0.8%)

Counts

19 → 144

Calls

42 calls:

Time	Variable		Point	Expression
71.0ms	f	@	0	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
43.0ms	f	@	-inf	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
21.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
19.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
18.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))

rewrite156.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`pow1`
1050×	`add-exp-log`
1038×	`add-log-exp`
1032×	`log1p-expm1-u`
1032×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	697
1	1179	697

Stop Event

1×	node limit

Counts

19 → 175

Calls

Call 1

Inputs
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(-.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))))))) (/.f64 -4 (PI.f64)))

Outputs
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(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 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
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(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
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(.f64 1 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))
(.f64 (/.f64 2 f) (/.f64 1 (.f64 (PI.f64) 1/2)))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
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(exp.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
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(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(.f64 1 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))
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(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
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(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
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(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))
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(.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))))
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(.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))))))
(.f64 (sqrt.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 (/.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 (/.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 (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 (.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))))) -4) (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))))) (/.f64 -4 (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))))) (/.f64 -4 (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))))) (/.f64 -4 (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 -4 (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 -4 (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))))) (/.f64 -4 (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))))) (/.f64 -4 (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))))) (/.f64 -4 (PI.f64)))))

simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-r`
1048×	`associate-l`
798×	`times-frac`
654×	`fma-def`
604×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	15931
1	1517	12331

Stop Event

1×	node limit

Counts

319 → 338

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 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 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
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(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1)
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
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(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))
(.f64 1 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))
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(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
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(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
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(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
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(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
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(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(.f64 1 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f))
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(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
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(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)))))
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(.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)))))
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(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)))))))
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(.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)))))))
(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 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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)
(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 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(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 (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 (+.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 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 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 (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 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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)))))))
(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 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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)))))))
(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 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(/.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))))) -4) (PI.f64))
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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))))) (/.f64 -4 (PI.f64))) 1)
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (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))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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))))) (/.f64 -4 (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 -4 (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 -4 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (/.f64 -4 (PI.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 (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 -4 (PI.f64)) (.f64 (/.f64 -4 (PI.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 (pow.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (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))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (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))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 -4 (PI.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 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))

eval332.0ms (1.1%)

Compiler: Compiled 14151 to 10326 computations (27% saved)

prune205.0ms (0.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	347	34	381
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	356	36	392

Accuracy

96.6%

Counts

392 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.4%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.5%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
	94.8%	(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	93.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
▶	93.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.7%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	93.8%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.1%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
▶	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	94.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	3.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	33.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
	93.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.3%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	73.9%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
▶	0.1%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
	94.5%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
	1.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))
▶	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.4%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.5%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
	94.8%	(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	93.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
▶	93.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.7%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	93.8%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.1%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
▶	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	94.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	3.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	33.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
	93.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.3%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	73.9%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
▶	0.1%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
	94.5%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
	1.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))

Compiler

Compiled 3074 to 2536 computations (17.5% saved)

localize605.0ms (2%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 484 to 358 computations (26% saved)

series0.0ms (0%)

Counts: 5 → 0

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-udef`
602×	`associate-r`
568×	`pow1`
548×	`add-sqr-sqrt`
538×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	15
1	60	15
2	704	15
3	7563	15

Stop Event

1×	node limit

Counts

5 → 235

Calls

Call 1

Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)

Outputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def`
680×	`associate-+l-`
600×	`associate-+r-`
592×	`times-frac`
546×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2845
1	282	2685
2	892	2625
3	3935	2485

Stop Event

1×	node limit

Counts

235 → 64

Calls

Call 1

Inputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
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(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))

Outputs
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
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(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(PI.f64)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)

eval522.0ms (1.7%)

Compiler: Compiled 27733 to 19600 computations (29.3% saved)

prune243.0ms (0.8%)

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	828	4	832
Fresh	2	28	30
Picked	0	5	5
Done	0	1	1
Total	830	38	868

Accuracy

96.6%

Counts

868 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
✓	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.4%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.5%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
	94.8%	(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
▶	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
▶	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	93.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
✓	93.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.7%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	93.8%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.1%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	3.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	33.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
	93.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.3%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	73.9%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
✓	0.1%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
	94.5%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
	1.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))
	95.0%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
✓	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.4%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.5%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
	94.8%	(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
▶	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
▶	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	93.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
✓	93.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.7%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	93.8%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.1%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	95.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	3.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	33.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
	93.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
	95.3%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	73.9%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
✓	0.1%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
	94.5%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
	1.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))

Compiler

Compiled 2994 to 2484 computations (17% saved)

localize777.0ms (2.6%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.6%	(*.f64 (PI.f64) f)
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓	97.4%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	99.5%	(/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))
✓	99.4%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	99.1%	(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
✓	91.4%	(expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
✓	99.6%	(log.f64 (/.f64 2 f))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))))
✓	98.4%	(log.f64 (*.f64 (PI.f64) 1/2))
✓	99.6%	(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)
	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 1/384 (pow.f64 (PI.f64) 3))
✓	98.4%	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
✓	97.0%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))

Compiler

Compiled 732 to 532 computations (27.3% saved)

series83.0ms (0.3%)

Counts

17 → 168

Calls

42 calls:

Time	Variable		Point	Expression
27.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))))
15.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))))
8.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
7.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))
7.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))))

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`pow1`
1404×	`add-exp-log`
1388×	`add-log-exp`
1386×	`log1p-expm1-u`
1384×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	545
1	1659	545

Stop Event

1×	node limit

Counts

17 → 148

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(/.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 (PI.f64) 1/2))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 f))
(expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(*.f64 (PI.f64) f)

Outputs
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
(.f64 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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))))
(.f64 (.f64 (cbrt.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))) (cbrt.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))))) (cbrt.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(.f64 (sqrt.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))) (sqrt.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) 1)
(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(expm1.f64 (log1p.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(exp.f64 (log.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(log1p.f64 (expm1.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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(log.f64 (exp.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.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)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (log.f64 (PI.f64)) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (PI.f64) 1/2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (log.f64 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (/.f64 2 f)) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(.f64 1 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 f)) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 f))
(*.f64 1 (log.f64 (/.f64 2 f)))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 f))) (cbrt.f64 (log.f64 (/.f64 2 f)))) (cbrt.f64 (log.f64 (/.f64 2 f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 f))) (sqrt.f64 (log.f64 (/.f64 2 f))))
(pow.f64 (log.f64 (/.f64 2 f)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (log.f64 (/.f64 2 f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 f))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 f))))
(-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(.f64 1 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1))) (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(.f64 (sqrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (sqrt.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1)))
(pow.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1) (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(.f64 1 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(+.f64 1 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1))
(.f64 1 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (log.f64 262144))
(.f64 1 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(pow.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (.f64 (.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))

simplify176.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-r`
944×	`associate-l`
618×	`log-prod`
558×	`fma-def`
534×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	16000
1	1509	13052
2	7572	13048

Stop Event

1×	node limit

Counts

316 → 291

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
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(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.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)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (log.f64 (PI.f64)) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (PI.f64) 1/2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (log.f64 (*.f64 (PI.f64) 1/2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (/.f64 2 f)) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(.f64 1 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 f)) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 f))
(*.f64 1 (log.f64 (/.f64 2 f)))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 f))) (cbrt.f64 (log.f64 (/.f64 2 f)))) (cbrt.f64 (log.f64 (/.f64 2 f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 f))) (sqrt.f64 (log.f64 (/.f64 2 f))))
(pow.f64 (log.f64 (/.f64 2 f)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 f)) (log.f64 (/.f64 2 f))) (log.f64 (/.f64 2 f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 f))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 f))))
(-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(.f64 1 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1))) (cbrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(.f64 (sqrt.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (sqrt.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1)))
(pow.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1) (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)) (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(.f64 1 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(+.f64 1 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1))
(.f64 1 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (log.f64 262144))
(.f64 1 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(pow.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(pow.f64 (*.f64 f (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(cbrt.f64 (.f64 (.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))

Outputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
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(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
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(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(cbrt.f64 (.f64 (/.f64 4 (.f64 (PI.f64) f)) (.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))) (log.f64 262144))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f)))) (log.f64 262144))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 262144))
(.f64 1 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (cbrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (sqrt.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(pow.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) 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))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(cbrt.f64 (.f64 (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f))))) (.f64 (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f))))) (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) (neg.f64 f))))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144)) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(log1p.f64 (expm1.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))
(log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144))
(log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1/262144))
(/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) 1)
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f)))))) (.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 4 (PI.f64))) (.f64 (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f))))) (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) (neg.f64 f)))))))))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)))))
(.f64 4 (/.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))) 1/262144)) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1/262144)) (PI.f64)))
(pow.f64 (*.f64 f (PI.f64)) 1)
(*.f64 (PI.f64) f)
(log.f64 (exp.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)
(cbrt.f64 (.f64 (.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (*.f64 f (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) f) (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)

eval257.0ms (0.8%)

Compiler: Compiled 14237 to 10572 computations (25.7% saved)

prune110.0ms (0.4%)

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	311	19	330
Fresh	7	20	27
Picked	3	2	5
Done	3	3	6
Total	324	44	368

Accuracy

96.6%

Counts

368 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
✓	95.7%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
	95.3%	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.8%	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
	95.4%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	95.3%	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
✓	95.0%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	3.6%	(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	95.0%	(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	93.6%	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	93.4%	(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	94.4%	(.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64)))
	95.0%	(.f64 -4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	93.8%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	94.5%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f)))))))
	3.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))))))
	33.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f))) 3))))))
	94.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
	93.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.7%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	94.1%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
	94.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	93.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))))
	0.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
	73.9%	(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
✓	0.1%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
	1.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))

Compiler

Compiled 2338 to 1811 computations (22.5% saved)

regimes147.0ms (0.5%)

Counts

70 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (log1p.f64 (expm1.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)))
(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f))) 3))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (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 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))) (/.f64 -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 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5))))))))))

Outputs

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

Calls

6 calls:

49.0ms	f
30.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
9.0ms	(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))))))
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
7.0ms	(.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)))))))

Results

Accuracy	Segments	Branch
95.8%	1	`f`
95.8%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
95.8%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
95.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
95.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
95.8%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1607 to 1199 computations (25.4% saved)

regimes152.0ms (0.5%)

Counts

67 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (log1p.f64 (expm1.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)))
(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f))) 3))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (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))))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (cbrt.f64 (pow.f64 (PI.f64) 3))) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))

Outputs

(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (*.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))

Calls

6 calls:

41.0ms	(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))))))
29.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
28.0ms	f
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
95.7%	1	`f`
95.7%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
95.7%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
95.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
95.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
95.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1440 to 1075 computations (25.3% saved)

regimes167.0ms (0.5%)

Counts

59 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (log1p.f64 (expm1.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)))
(.f64 -4 (/.f64 (log.f64 (expm1.f64 (log1p.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f))) 3))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (log.f64 (exp.f64 (-.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 1) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))) 1/262144))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

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

Calls

6 calls:

53.0ms	(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))))))))
42.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
8.0ms	(/.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
95.3%	1	`f`
95.3%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
95.3%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
95.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
95.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
95.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1127 to 855 computations (24.1% saved)

regimes9.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (cbrt.f64 (pow.f64 (PI.f64) 3)))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`f`

Compiler

Compiled 113 to 88 computations (22.1% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative`
20×	`+-commutative`
18×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	353
1	104	353
2	122	353
3	133	353
4	139	353
5	140	353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Outputs
(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (/.f64 (PI.f64) 1/2) 1)))) 0)) -2 0))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (.f64 f f) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2)))) 0)) -2 0))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))

Compiler

Compiled 113 to 90 computations (20.4% saved)

soundness3.2s (10.6%)

Rules

1862×	`fma-def`
1436×	`times-frac`
1432×	`pow1`
1404×	`add-exp-log`
1388×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	397
1	91	363
2	240	327
3	720	327
4	2345	327
0	73	545
1	1659	545
0	31	200
1	686	200
0	607	15931
1	1517	12331
0	612	16000
1	1509	13052
2	7572	13048
0	186	9248
1	543	8488
2	2064	7892
0	53	697
1	1179	697
0	607	15931
1	1517	12331

Stop Event

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

Compiler

Compiled 1025 to 766 computations (25.3% saved)

end0.0ms (0%)

preprocess105.0ms (0.3%)

Compiler: Compiled 294 to 222 computations (24.5% saved)

analyze418.0ms (1.4%)

sample16.8s (55.3%)

preprocess60.0ms (0.2%)

eval3.0ms (0%)

prune4.0ms (0%)

localize1.8s (5.8%)

series222.0ms (0.7%)

rewrite87.0ms (0.3%)

simplify166.0ms (0.5%)

eval126.0ms (0.4%)

prune52.0ms (0.2%)

localize2.7s (8.8%)

series231.0ms (0.8%)

rewrite156.0ms (0.5%)

simplify174.0ms (0.6%)

eval332.0ms (1.1%)

prune205.0ms (0.7%)

localize605.0ms (2%)

series0.0ms (0%)

rewrite109.0ms (0.4%)

simplify87.0ms (0.3%)

eval522.0ms (1.7%)

prune243.0ms (0.8%)

localize777.0ms (2.6%)

series83.0ms (0.3%)

rewrite121.0ms (0.4%)

simplify176.0ms (0.6%)

eval257.0ms (0.8%)

prune110.0ms (0.4%)

regimes147.0ms (0.5%)

regimes152.0ms (0.5%)

regimes167.0ms (0.5%)

regimes9.0ms (0%)

regimes4.0ms (0%)

simplify12.0ms (0%)

soundness3.2s (10.6%)

end0.0ms (0%)

preprocess105.0ms (0.3%)

Profiling