Metrics for VandenBroeck and Keller, Equation (20)

analyze414.0ms (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)

sample18.0s (61.9%)

Results

8.4s	7756×	body	8192	exit
3.0s	4019×	body	1024	valid
2.1s	3910×	body	1024	invalid
1.5s	7708×	body	256	unsamplable
912.0ms	2092×	body	512	valid
816.0ms	1955×	body	512	invalid
667.0ms	500×	body	2048	valid
421.0ms	1645×	body	256	valid
192.0ms	1025×	body	256	invalid
1.0ms	2×	body	2048	invalid

Bogosity

preprocess978.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-/r*`
494×	`fma-def`
449×	`associate-*r/`
370×	`times-frac`
366×	`*-commutative`

Problems

248×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
6×	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
2×	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	433
1	95	399
2	249	363
3	701	363
4	2625	363

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

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval4.0ms (0%)

Compiler: Compiled 169 to 122 computations (27.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

6.1%

(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%

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

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize551.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	97.3%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	10.9%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

series77.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
28.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite145.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

4 → 64

Calls

Call 1

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

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

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

112 → 65

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

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

eval55.0ms (0.2%)

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

prune35.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Accuracy

97.0%

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.6%	(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)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))))
▶	95.7%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.6%	(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)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))))
▶	95.7%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 992 to 796 computations (19.8% saved)

localize2.6s (9.1%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
✓	97.3%	(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
✓	10.9%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(-.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))))
✓	98.4%	(*.f64 1/384 (pow.f64 (PI.f64) 3))
✓	98.4%	(*.f64 -1/384 (pow.f64 (PI.f64) 3))

Compiler

Compiled 1213 to 884 computations (27.1% saved)

series281.0ms (1%)

Counts

17 → 108

Calls

36 calls:

Time	Variable		Point	Expression
154.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
41.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
21.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
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)))) (.f64 f (.f64 (PI.f64) 1/2))))
13.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`associate-r`
429×	`*-un-lft-identity`
370×	`add-sqr-sqrt`
305×	`times-frac`
290×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	255
1	1133	255

Stop Event

1×	node limit

Counts

17 → 374

Calls

Call 1

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

Outputs
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

565×	`*-commutative`
482×	`associate-+r+`
475×	`distribute-lft-in`
416×	`associate-+l+`
391×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	6915
1	730	6241
2	3134	6097

Stop Event

1×	node limit

Counts

482 → 135

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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.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))))
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-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
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1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
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-1
-1/2
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-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.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))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 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))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (log.f64 (/.f64 -1 f)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.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) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
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(-.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) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
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(-.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (PI.f64)))) (log.f64 f))
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(+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -3/2 (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))) (fma.f64 1/4 (.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)) (.f64 3 (.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))))) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0)))) (fma.f64 1/2 (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
(-.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 0 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192))))) (fma.f64 0 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (PI.f64) 0)))) (fma.f64 1/2 (.f64 (/.f64 f (PI.f64)) (.f64 (PI.f64) 0)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)))) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 0))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (fma.f64 1/6 (.f64 (fma.f64 0 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))) (fma.f64 0 (pow.f64 (.f64 (PI.f64) 1/2) 3) (.f64 (PI.f64) 0))) (/.f64 (pow.f64 f 3) (PI.f64))) (.f64 f 0)) (+.f64 (.f64 1/2 (.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 0)) (/.f64 (pow.f64 f 2) (PI.f64)))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16
-16
-4
-2
-1
-1/2
-1/4
-1/192
-1/384
0
1/147456
1/36864
1/384
1/256
1/192
1/16
1/8
1/4
1/2
1
2
4
16

eval166.0ms (0.6%)

Compiler: Compiled 6188 to 4681 computations (24.4% saved)

prune58.0ms (0.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	134	9	143

Accuracy

97.1%

Counts

143 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
▶	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) -1/4) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
✓	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	95.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (-.f64 (fma.f64 1/2 (.f64 (/.f64 f (PI.f64)) (.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
▶	95.8%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
▶	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) -1/4) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
✓	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	95.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (-.f64 (fma.f64 1/2 (.f64 (/.f64 f (PI.f64)) (.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 940 to 754 computations (19.8% saved)

localize698.0ms (2.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (pow.f64 f 2) (PI.f64))
✓	99.6%	(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
✓	99.5%	(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	100.0%	(+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 1 (*.f64 f (PI.f64)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.3%	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
✓	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))

Compiler

Compiled 483 to 337 computations (30.2% saved)

series23.0ms (0.1%)

Counts

15 → 75

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	f	@	0	(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))
2.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
2.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
1.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
1.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))

rewrite163.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

326×	`associate-r`
303×	`pow1`
284×	`add-exp-log`
277×	`add-log-exp`
268×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	429
1	732	401

Stop Event

1×	node limit

Counts

15 → 398

Calls

Call 1

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

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

simplify295.0ms (1%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-r`
651×	`associate-l`
392×	`associate-/l*`
391×	`*-commutative`
320×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	850	23533
1	2162	22321

Stop Event

1×	node limit

Counts

473 → 522

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 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))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 -1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 -1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 2048 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1/8 (.f64 f (PI.f64)))
(.f64 1/8 (.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))))
(.f64 1/192 (.f64 4 (PI.f64)))
(.f64 (.f64 1/48 (PI.f64)) 1)
(.f64 1 (.f64 1/48 (PI.f64)))
(.f64 1/96 (.f64 (PI.f64) 2))
(.f64 (.f64 4 (PI.f64)) 1/192)
(*.f64 -1/192 (/.f64 1 (/.f64 -1/4 (PI.f64))))
(.f64 (sqrt.f64 (.f64 1/48 (PI.f64))) (sqrt.f64 (*.f64 1/48 (PI.f64))))
(.f64 (cbrt.f64 (.f64 1/48 (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/48 (PI.f64)) 2)) (cbrt.f64 (*.f64 1/48 (PI.f64))))
(*.f64 -1/48 (neg.f64 (PI.f64)))
(*.f64 1/48 (PI.f64))
(pow.f64 (*.f64 1/48 (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/48 (PI.f64))) 2)
(pow.f64 (.f64 (.f64 1/48 (PI.f64)) (pow.f64 (*.f64 1/48 (PI.f64)) 2)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/48 (PI.f64)) 2))
(log.f64 (exp.f64 (*.f64 1/48 (PI.f64))))
(cbrt.f64 (.f64 (.f64 1/48 (PI.f64)) (pow.f64 (*.f64 1/48 (PI.f64)) 2)))
(expm1.f64 (log1p.f64 (*.f64 1/48 (PI.f64))))
(exp.f64 (log.f64 (*.f64 1/48 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 1/48 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/48 (PI.f64))))
(+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))
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(-.f64 (/.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 f (PI.f64))))) (/.f64 (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16) (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (*.f64 -4 (/.f64 f (PI.f64))))))
(.f64 1 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64)))))
(.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64)))) 1)
(.f64 (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16)) (/.f64 1 (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (*.f64 -4 (/.f64 f (PI.f64))))))
(.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 3) (pow.f64 (.f64 4 (/.f64 f (PI.f64))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (.f64 4 (/.f64 f (PI.f64))) (-.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (*.f64 (PI.f64) 1/8)))))))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64))))))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64))))))
(/.f64 1 (/.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 f (PI.f64)))) (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (.f64 4 (/.f64 f (PI.f64))) (-.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/8))))) (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 3) (pow.f64 (.f64 4 (/.f64 f (PI.f64))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16)) (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 3) (pow.f64 (.f64 4 (/.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (.f64 4 (/.f64 f (PI.f64))) (-.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/8))))))
(/.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 3) (pow.f64 (.f64 4 (/.f64 f (PI.f64))) 3)) (+.f64 (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16) (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/8))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16) (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2)) (-.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/8))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (pow.f64 (/.f64 f (PI.f64)) 2) 16))) (neg.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 f (PI.f64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 3) (pow.f64 (.f64 4 (/.f64 f (PI.f64))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/8)) 2) (.f64 (.f64 4 (/.f64 f (PI.f64))) (-.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/8)))))))
(pow.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))) 2)
(pow.f64 (.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64)))) 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))
(cbrt.f64 (.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (*.f64 4 (/.f64 f (PI.f64)))) 2)))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))))
(fma.f64 1/8 (.f64 (PI.f64) f) (.f64 4 (/.f64 f (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (log.f64 4) (log.f64 4)) (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (log.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (.f64 (log.f64 4) (log.f64 4)) (+.f64 (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 (PI.f64))))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 4 (/.f64 f (PI.f64)))))
(.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 (neg.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (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))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.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)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (.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)) 2)) 1/3)
(neg.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(cbrt.f64 (.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)) 2)))
(cbrt.f64 (/.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2)) (.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(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))))
(exp.f64 (-.f64 (log.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (log.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(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 (log.f64 4) (-.f64 (log.f64 (PI.f64)) (log.f64 f)))
(-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (log.f64 f)))
(-.f64 (+.f64 (log.f64 f) (log.f64 4)) (log.f64 (PI.f64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))) (/.f64 (pow.f64 (log.f64 f) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))))
(.f64 1 (log.f64 (.f64 4 (/.f64 f (PI.f64)))))
(.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 1)
(.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (/.f64 1 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (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))))))
(.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))))
(/.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64)))))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))))
(/.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 f) 2) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2)) (neg.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2)
(pow.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2)) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(cbrt.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1)
(pow.f64 (*.f64 f (sqrt.f64 (PI.f64))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4))) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 f 2)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 3) (pow.f64 f 3))))
(cbrt.f64 (.f64 (.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 f 2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 f 2))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 2 (log.f64 f))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 f)) (log.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 f 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 f 2))))

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
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(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2)) (neg.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3)) (pow.f64 (log.f64 f) 3)) (-.f64 (.f64 (neg.f64 (log.f64 f)) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 2)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(pow.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2)) 1/3)
(cbrt.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(cbrt.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 2)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(exp.f64 (log.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 f 2)) 1)
(*.f64 (PI.f64) (pow.f64 f 2))
(pow.f64 (*.f64 f (sqrt.f64 (PI.f64))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4))) 1/3)
(cbrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 3)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4)))
(sqrt.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 f 2)))
(*.f64 (pow.f64 f 2) (log.f64 (exp.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 f 2)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 f 4))))
(cbrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 3) (pow.f64 f 3))))
(cbrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 f 2))))
(*.f64 (PI.f64) (pow.f64 f 2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 f 2))))
(*.f64 (PI.f64) (pow.f64 f 2))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 2 (log.f64 f))))
(exp.f64 (fma.f64 2 (log.f64 f) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 f)) (log.f64 (PI.f64))))
(exp.f64 (fma.f64 2 (log.f64 f) (log.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 f 2))) 1))
(*.f64 (PI.f64) (pow.f64 f 2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 f 2))))
(*.f64 (PI.f64) (pow.f64 f 2))

eval538.0ms (1.9%)

Compiler: Compiled 14645 to 10281 computations (29.8% saved)

prune160.0ms (0.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	569	13	582
Fresh	2	0	2
Picked	2	3	5
Done	0	2	2
Total	573	18	591

Accuracy

97.2%

Counts

591 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
▶	1.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
	95.3%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))) (/.f64 (pow.f64 (log.f64 f) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))) (PI.f64)))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)))))
✓	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 4 (*.f64 (PI.f64) f))))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 (.f64 (PI.f64) f)) (sqrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	33.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (pow.f64 (.f64 (.f64 (PI.f64) f) (pow.f64 (*.f64 (PI.f64) f) 2)) 1/3)))))))
✓	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 f (*.f64 (PI.f64) 1/8)))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
✓	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
✓	95.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
	95.6%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	1.7%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
▶	1.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
	95.3%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))) (/.f64 (pow.f64 (log.f64 f) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))) (PI.f64)))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)))))
✓	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 4 (*.f64 (PI.f64) f))))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 (.f64 (PI.f64) f)) (sqrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	33.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (pow.f64 (.f64 (.f64 (PI.f64) f) (pow.f64 (*.f64 (PI.f64) f) 2)) 1/3)))))))
✓	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 f (*.f64 (PI.f64) 1/8)))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
✓	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
✓	95.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
	95.6%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 1494 to 1182 computations (20.9% saved)

localize500.0ms (1.7%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))
✓	99.2%	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)
✓	99.0%	(cbrt.f64 (*.f64 (PI.f64) f))
✓	98.9%	(cbrt.f64 (/.f64 f (PI.f64)))
✓	99.6%	(*.f64 (PI.f64) f)
	99.6%	(*.f64 f (PI.f64))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))))
✓	91.4%	(exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
✓	99.5%	(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
✓	99.5%	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
✓	98.4%	(*.f64 (PI.f64) 1/12)
✓	98.4%	(log.f64 (*.f64 (PI.f64) 1/12))
✓	100.0%	(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
✓	99.6%	(/.f64 f (PI.f64))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 4 (*.f64 (PI.f64) f)))))
	98.4%	(fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64)))) -2))
	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))

Compiler

Compiled 558 to 316 computations (43.4% saved)

series130.0ms (0.4%)

Counts

17 → 121

Calls

45 calls:

Time	Variable		Point	Expression
61.0ms	f	@	0	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
18.0ms	f	@	-inf	(exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
16.0ms	f	@	0	(exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
9.0ms	f	@	-inf	(/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))
6.0ms	f	@	inf	(exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))

rewrite156.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`associate-r`
370×	`*-un-lft-identity`
355×	`add-cbrt-cube`
352×	`add-cube-cbrt`
351×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	500
1	993	476

Stop Event

1×	node limit

Counts

17 → 378

Calls

Call 1

Inputs
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))
(/.f64 f (PI.f64))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(log.f64 (*.f64 4 (/.f64 f (PI.f64))))
(log.f64 (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))))
(*.f64 (PI.f64) f)
(cbrt.f64 (/.f64 f (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))

Outputs
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (.f64 4 (*.f64 (PI.f64) f)))))))
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(cbrt.f64 (.f64 (.f64 f (pow.f64 f 2)) (*.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 1 (cbrt.f64 (/.f64 f (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 f (PI.f64))) 1)
(*.f64 (pow.f64 (/.f64 f (PI.f64)) 1/6) (pow.f64 (/.f64 f (PI.f64)) 1/6))
(*.f64 (cbrt.f64 f) (/.f64 1 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 f) (cbrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 f (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 f (PI.f64)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 f (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 f (PI.f64)))))
(/.f64 1 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 f)))
(/.f64 1 (cbrt.f64 (/.f64 (PI.f64) f)))
(/.f64 (cbrt.f64 f) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (cbrt.f64 f)) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 (PI.f64))))
(pow.f64 (/.f64 f (PI.f64)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 f (PI.f64))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 f (PI.f64)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 f (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 f (PI.f64)))))
(.f64 1 (cbrt.f64 (.f64 (PI.f64) f)))
(.f64 (cbrt.f64 (.f64 (PI.f64) f)) 1)
(.f64 (pow.f64 (.f64 (PI.f64) f) 1/6) (pow.f64 (*.f64 (PI.f64) f) 1/6))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 f))
(*.f64 (cbrt.f64 f) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2))))
(/.f64 1 (cbrt.f64 (*.f64 (PI.f64) f)))
(/.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 f))))
(/.f64 (cbrt.f64 (/.f64 1 f)) (cbrt.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) f) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2))
(.f64 (cbrt.f64 (.f64 (PI.f64) f)) (cbrt.f64 (*.f64 (PI.f64) f)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) 1)
(.f64 (sqrt.f64 (.f64 (PI.f64) f)) (pow.f64 (*.f64 (PI.f64) f) 1/6))
(.f64 (pow.f64 (.f64 (PI.f64) f) 1/6) (.f64 (pow.f64 (.f64 (PI.f64) f) 1/6) (cbrt.f64 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 f) (cbrt.f64 (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 f 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) f))) (cbrt.f64 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) f)) (cbrt.f64 (PI.f64))) (cbrt.f64 f))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) f)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) f))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 2)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))))
(/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(/.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (.f64 -1 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 1) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) 1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (*.f64 (PI.f64) f))))) 2)))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/4) -2)) (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2))))
(cbrt.f64 (.f64 (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2)) (.f64 (/.f64 4 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/4) -2))))
(cbrt.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2)) (.f64 (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/16))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))

simplify179.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-r`
559×	`associate-l`
457×	`*-commutative`
318×	`associate-/r*`
296×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	925	21966
1	2163	18716

Stop Event

1×	node limit

Counts

499 → 591

Calls

Call 1

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

Outputs
(.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))) (neg.f64 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12)))
(fma.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (*.f64 1/12 (pow.f64 f 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(fma.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) 1/12) 2))) (fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(fma.f64 -1/8 (.f64 (PI.f64) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 f 4))) (fma.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(fma.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) 1/12) 2))) (fma.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) 1/12) 3))) (fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12)))))
(fma.f64 -1/8 (.f64 (PI.f64) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 f 4))) (fma.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/1728))) (fma.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (*.f64 1/12 (pow.f64 f 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
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(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))
(fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 1/12 (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 1/12 (pow.f64 (PI.f64) 3))))) (/.f64 -32 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 1/12 (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 4)))) (/.f64 -32 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f)))))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
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(fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (*.f64 1/12 (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 1/12 (pow.f64 (PI.f64) 3))))) (/.f64 -32 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (+.f64 (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 4)))) (+.f64 (/.f64 16 (.f64 (pow.f64 f 2) (.f64 1/12 (pow.f64 (PI.f64) 3)))) (/.f64 -32 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (*.f64 (PI.f64) f))))) 2)))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (*.f64 (PI.f64) f))))) 2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/4) -2)) (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (*.f64 (PI.f64) f))))) 2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (.f64 (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2)) (.f64 (/.f64 4 (PI.f64)) (pow.f64 (.f64 (PI.f64) 1/4) -2))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (*.f64 (PI.f64) f))))) 2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f))))) 3))
(cbrt.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))) 2)) (.f64 (.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 2) 1/16))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f)))) 3) (.f64 1/16 (*.f64 1/4 (pow.f64 (PI.f64) 3)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/4)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/4)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) (/.f64 f (PI.f64)))) (.f64 4 (.f64 (PI.f64) f)))))))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/4)) (log.f64 (fma.f64 1/8 (cbrt.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) f) 2) f) (PI.f64))) (.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) f)) (.f64 4 (.f64 (PI.f64) f)))))

eval440.0ms (1.5%)

Compiler: Compiled 19410 to 13008 computations (33% saved)

prune186.0ms (0.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	728	11	739
Fresh	3	5	8
Picked	4	1	5
Done	0	5	5
Total	735	22	757

Accuracy

97.2%

Counts

757 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	95.3%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))) (/.f64 (pow.f64 (log.f64 f) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))) (PI.f64)))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)))))
✓	95.7%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))))
✓	95.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 (.f64 (PI.f64) f)) (sqrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) 2)) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	33.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (pow.f64 (.f64 (.f64 (PI.f64) f) (pow.f64 (*.f64 (PI.f64) f) 2)) 1/3)))))))
✓	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (expm1.f64 (log.f64 (.f64 (PI.f64) 1/12))))) (PI.f64))))
✓	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	0.2%	(neg.f64 (.f64 4 (/.f64 (.f64 (sqrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))))) (PI.f64))))
✓	6.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
✓	95.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
	0.2%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
	0.2%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) 3)) (PI.f64))))
	95.6%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 1419 to 1058 computations (25.4% saved)

regimes82.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) 3)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (expm1.f64 (log.f64 (.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 4 (/.f64 (.f64 (sqrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 (.f64 (PI.f64) f)) (sqrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (pow.f64 (.f64 (.f64 (PI.f64) f) (pow.f64 (*.f64 (PI.f64) f) 2)) 1/3)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (-.f64 (fma.f64 1/2 (.f64 (/.f64 f (PI.f64)) (.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) 2)) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 f (PI.f64))))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) -1/4) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 4 (/.f64 f (PI.f64))))))) (/.f64 (pow.f64 (log.f64 f) 3) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))))

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

Calls

6 calls:

21.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
18.0ms	f
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
96.0%	1	`f`
96.0%	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))))))))`
96.0%	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)))))))`
96.0%	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))))))`
96.0%	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)))))`
96.0%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1082 to 787 computations (27.3% saved)

regimes16.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))) (PI.f64))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) 3)) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`f`

Compiler

Compiled 211 to 154 computations (27% saved)

regimes13.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 f (*.f64 (PI.f64) 1/8)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`f`

Compiler

Compiled 122 to 89 computations (27% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`f`

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes6.0ms (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 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
1.7%	1	`f`

Compiler

Compiled 25 to 19 computations (24% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative`
27×	`distribute-lft-neg-out`
26×	`distribute-lft-neg-in`
24×	`distribute-rgt-neg-out`
24×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	235
1	89	235
2	130	235
3	161	227
4	192	227
5	288	227
6	373	227
7	374	227

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(.f64 4 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(.f64 4 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)) (neg.f64 4))

Compiler

Compiled 68 to 56 computations (17.6% saved)

soundness1.7s (5.9%)

Rules

715×	`associate-r`
684×	`associate-+r+`
684×	`associate-+r+`
684×	`associate-+r+`
656×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240
0	239	6915
1	730	6241
2	3134	6097
0	50	429
1	732	401
0	850	23533
1	2162	22321
0	925	21966
1	2163	18716
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240
0	50	429
1	732	401
0	925	21966
1	2163	18716
0	239	6915
1	730	6241
2	3134	6097
0	142	3777
1	427	3549
2	1867	3244
3	7852	3240

Stop Event

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

Compiler

Compiled 1441 to 1076 computations (25.3% saved)

end0.0ms (0%)

preprocess77.0ms (0.3%)

Compiler: Compiled 204 to 154 computations (24.5% saved)

analyze414.0ms (1.4%)

sample18.0s (61.9%)

preprocess978.0ms (3.4%)

eval4.0ms (0%)

prune2.0ms (0%)

localize551.0ms (1.9%)

series77.0ms (0.3%)

rewrite145.0ms (0.5%)

simplify99.0ms (0.3%)

eval55.0ms (0.2%)

prune35.0ms (0.1%)

localize2.6s (9.1%)

series281.0ms (1%)

rewrite73.0ms (0.3%)

simplify102.0ms (0.4%)

eval166.0ms (0.6%)

prune58.0ms (0.2%)

localize698.0ms (2.4%)

series23.0ms (0.1%)

rewrite163.0ms (0.6%)

simplify295.0ms (1%)

eval538.0ms (1.9%)

prune160.0ms (0.6%)

localize500.0ms (1.7%)

series130.0ms (0.4%)

rewrite156.0ms (0.5%)

simplify179.0ms (0.6%)

eval440.0ms (1.5%)

prune186.0ms (0.6%)

regimes82.0ms (0.3%)

regimes16.0ms (0.1%)

regimes13.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

simplify12.0ms (0%)

soundness1.7s (5.9%)

end0.0ms (0%)

preprocess77.0ms (0.3%)

Profiling