Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze277.0ms (1.9%)

Memory

14.3MiB live, 250.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	37.5%	0%	4
0%	0%	56.2%	0%	0%	43.7%	0%	5
0%	0%	53.1%	0%	0%	46.9%	0%	6
3.1%	1.6%	48.4%	0%	0%	50%	0%	7
4.8%	2.3%	46.1%	0%	0%	51.5%	0%	8
5.6%	2.7%	45.7%	0%	0%	51.5%	0%	9
6.5%	3.1%	45.1%	0%	0%	51.7%	0%	10
6.9%	3.3%	44.8%	0%	0%	51.8%	0%	11
6.9%	3.3%	44.8%	0%	0%	51.9%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.5s (44.4%)

Memory

107.9MiB live, 6 494.1MiB allocated

Samples

2.6s	7 609×	1	valid
2.3s	7 152×	1	invalid
246.0ms	161×	2	valid
58.0ms	486×	0	valid
1.0ms	14×	0	invalid
0.0ms	3×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-exp: 1.3s (27.7% of total)

ival-div: 729.0ms (15.9% of total)

ival-pi: 513.0ms (11.2% of total)

ival-mult: 509.0ms (11.1% of total)

ival-log: 476.0ms (10.4% of total)

adjust: 404.0ms (8.8% of total)

ival-neg: 306.0ms (6.7% of total)

ival-add: 185.0ms (4% of total)

ival-sub: 158.0ms (3.4% of total)

exact: 18.0ms (0.4% of total)

ival-true: 13.0ms (0.3% of total)

ival-assert: 6.0ms (0.1% of total)

Bogosity

explain425.0ms (2.9%)

Memory

-5.5MiB live, 289.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
247	0	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
6	0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
1	6	(10730.108212637997)	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	-	`f`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	247	0
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	7	0
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	6	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	6
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	6
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	6
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	6

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	248
2	6

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

136.0ms	476×	1	valid
39.0ms	24×	0	valid
11.0ms	12×	2	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-log: 51.0ms (32.9% of total)

ival-exp: 33.0ms (21.3% of total)

ival-div: 25.0ms (16.1% of total)

ival-mult: 12.0ms (7.7% of total)

adjust: 11.0ms (7.1% of total)

ival-neg: 8.0ms (5.2% of total)

ival-pi: 5.0ms (3.2% of total)

ival-sub: 5.0ms (3.2% of total)

ival-add: 5.0ms (3.2% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

preprocess200.0ms (1.4%)

Memory

16.1MiB live, 106.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	52	64
2	171	64
3	449	64
4	2129	44
5	6824	44
0	16	37
0	29	37
1	61	32
2	155	32
3	452	32
4	1831	22
0	8057	22

Stop Event

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

Calls

Call 1

Inputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Outputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.4%

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

simplify117.0ms (0.8%)

Memory

-16.3MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	5	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
cost-diff	5	(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	196
0	29	196
1	61	177
2	155	177
3	452	177
4	1831	127
0	8057	127

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Outputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(pow.f64 (exp.f64 (PI.f64)) (/.f64 f #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(pow.f64 (exp.f64 (PI.f64)) (/.f64 f #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 f #s(literal -4 binary64)) (PI.f64))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))

localize125.0ms (0.9%)

Memory

-9.6MiB live, 178.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy	0.40625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	1.718766506304951	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy	57.14479656142418	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Samples

100.0ms	238×	1	valid
6.0ms	6×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-exp: 16.0ms (26.3% of total)

ival-div: 12.0ms (19.7% of total)

adjust: 7.0ms (11.5% of total)

ival-log: 7.0ms (11.5% of total)

ival-mult: 6.0ms (9.9% of total)

ival-neg: 4.0ms (6.6% of total)

ival-pi: 2.0ms (3.3% of total)

ival-sub: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series93.0ms (0.6%)

Memory

30.0MiB live, 175.4MiB allocated

Counts

7 → 26

Calls

Call 1

Inputs
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)

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

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	f	@	inf	((+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
39.0ms	f	@	-inf	((+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
6.0ms	f	@	0	((+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))

Time

Variable

Point

Expression

46.0ms

inf

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

39.0ms

-inf

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

6.0ms

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

simplify326.0ms (2.2%)

Memory

-5.9MiB live, 452.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1040
1	610	660
2	2959	642
0	8328	598

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
2
(+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))
(+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))
(+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
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(+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (PI.f64)) #s(literal -4 binary64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (PI.f64)) #s(literal 4 binary64))

rewrite265.0ms (1.8%)

Memory

40.9MiB live, 405.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	140
0	29	92
1	111	73
2	702	73
0	8529	73

Stop Event

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

Counts

7 → 748

Calls

Call 1

Inputs
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) #s(literal 2 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))))) (.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal -2 binary64))) (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64)))))) (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f)))))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 6 binary64)) (pow.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 1 binary64))) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (+.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(.f64 (.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 f (neg.f64 f))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 f (neg.f64 f))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) f)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 2 binary64)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (exp.f64 f) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)))))) (+.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 f) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 f #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)))))
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(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (PI.f64))
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(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -2 binary64)))) (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -2 binary64)))))
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(.f64 (.f64 f (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)))
(*.f64 (neg.f64 (neg.f64 f)) (/.f64 (PI.f64) #s(literal 4 binary64)))
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(*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (neg.f64 f))
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(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 f #s(literal 4 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 f #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (neg.f64 f)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f))) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(+.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 f #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 f #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))

eval454.0ms (3.1%)

Memory: -73.4MiB live, 490.7MiB allocated
Compiler: Compiled 49 413 to 4 617 computations (90.7% saved)

prune23.0ms (0.2%)

Memory

-20.4MiB live, 73.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	841	11	852
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	842	11	853

Accuracy

97.5%

Counts

853 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
	96.7%	(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))) (sqrt.f64 (PI.f64)))
	96.8%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.9%	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
	96.9%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
	96.6%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (log.f64 (.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))))) (PI.f64))))
	96.7%	(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
▶	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
▶	95.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
▶	79.6%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 792 to 470 computations (40.7% saved)

simplify92.0ms (0.6%)

Memory

19.2MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
cost-diff	0	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
cost-diff	0	(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	0	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	0	(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64)))
cost-diff	5	(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	4	(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
cost-diff	4	(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64))
cost-diff	5	(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
cost-diff	1	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
cost-diff	2	(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
cost-diff	9	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	944
0	108	903
1	211	803
2	562	757
3	2120	696
0	8770	683

Stop Event

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

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
f
#s(literal 0 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))

Outputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (PI.f64) #s(literal -4 binary64))
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64))
(.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f)
(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64))
(PI.f64)
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (PI.f64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
f
#s(literal 0 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))

localize404.0ms (2.7%)

Memory

-9.4MiB live, 605.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
accuracy	5.278420956242012	(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	11.2900165443266	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.2890625	(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
accuracy	0.3515625	(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
accuracy	1.0	(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	1.0	(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64))
accuracy	1.8550666352842267	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
accuracy	0.11378310380939421	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
accuracy	0.40625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
accuracy	2.1348221600825825	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
accuracy	0.2578125	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
accuracy	0.2890625	(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
accuracy	0.2890625	(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))

Samples

275.0ms	238×	1	valid
24.0ms	6×	2	valid
6.0ms	12×	0	valid

Compiler

Compiled 799 to 62 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 54.0ms (22.9% of total)

ival-div: 45.0ms (19.1% of total)

ival-pow: 32.0ms (13.6% of total)

ival-log: 24.0ms (10.2% of total)

adjust: 19.0ms (8% of total)

ival-exp: 18.0ms (7.6% of total)

const: 10.0ms (4.2% of total)

ival-add: 9.0ms (3.8% of total)

ival-neg: 6.0ms (2.5% of total)

ival-cosh: 6.0ms (2.5% of total)

ival-sqrt: 4.0ms (1.7% of total)

ival-pi: 3.0ms (1.3% of total)

ival-sinh: 3.0ms (1.3% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series186.0ms (1.3%)

Memory

4.3MiB live, 234.0MiB allocated

Counts

28 → 57

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (PI.f64))

Outputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* -1 (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
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1
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Calls

3 calls:

Time	Variable		Point	Expression
94.0ms	f	@	inf	((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))
64.0ms	f	@	-inf	((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))
21.0ms	f	@	0	((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))

Time

Variable

Point

Expression

94.0ms

inf

((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))

64.0ms

-inf

((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))

21.0ms

((* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (PI) (/ 1 (/ (PI) 4)) (/ 2 (* 1/2 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (+ (* (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) -2) (* (/ (* (PI) (PI)) (PI)) 1/8)) (/ (/ (pow (PI) 3) (PI)) (PI)) (/ (* (PI) (PI)) (PI)) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) 4)) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ (/ (pow (PI) 3) (PI)) (PI)) 1/48) (pow (PI) 3) (sqrt (PI)))

simplify166.0ms (1.1%)

Memory

19.7MiB live, 202.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	6137
1	1608	3605
0	9237	3362

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))
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(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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1
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(* 1/4 (* f (PI)))
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(fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) (PI.f64)) (PI.f64) (.f64 (.f64 #s(literal -1/2 binary64) f) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/32 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal 1/4 binary64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal -1/1536 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) f (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))) (.f64 f f) #s(literal 1 binary64))
(* 1/4 (* f (PI)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* -1/4 (* f (PI)))
(.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 #s(literal 0 binary64) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 #s(literal 0 binary64) f))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(fma.f64 (.f64 (PI.f64) #s(literal 0 binary64)) f (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) f) (fma.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (PI.f64) #s(literal 0 binary64))) f (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) f) (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) #s(literal 0 binary64) (pow.f64 (.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) f (.f64 (PI.f64) #s(literal 0 binary64))) f (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))
(* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))
(* -1 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(exp (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))) (PI.f64)))
(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))
(.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) #s(literal 1/2 binary64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))

rewrite113.0ms (0.8%)

Memory

3.0MiB live, 107.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	455
0	102	370
1	331	302
0	2172	300

Stop Event

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

Counts

28 → 424

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (PI.f64))

Outputs
(.f64 (.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(neg.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(log.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (neg.f64 (PI.f64))) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (neg.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (neg.f64 (PI.f64))) (neg.f64 (PI.f64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (.f64 (PI.f64) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (PI.f64)) (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) (neg.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
(.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
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(neg.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))))
(neg.f64 (/.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) f)) (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64))))) (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) f))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) f)) (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64))))) (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) f))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (neg.f64 f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(neg.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))
(*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal 4 binary64))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal 4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64))
(neg.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal -2 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 f)))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 1 binary64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/48 binary64) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1/48 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/48 binary64) (PI.f64)))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 (PI.f64)) (PI.f64)) (neg.f64 (PI.f64)))
(.f64 (neg.f64 (PI.f64)) (.f64 (neg.f64 (PI.f64)) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))

eval266.0ms (1.8%)

Memory: -7.7MiB live, 402.1MiB allocated
Compiler: Compiled 72 598 to 7 830 computations (89.2% saved)

prune41.0ms (0.3%)

Memory

-4.3MiB live, 99.9MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 499	15	1 514
Fresh	4	2	6
Picked	5	0	5
Done	0	0	0
Total	1 508	17	1 525

Accuracy

97.6%

Counts

1 525 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
	96.0%	(/.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
▶	96.9%	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
	96.8%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	95.9%	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
▶	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	96.7%	(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
	95.9%	(neg.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
	95.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	93.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	94.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	79.1%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
▶	79.6%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	78.5%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 424 to 858 computations (39.7% saved)

simplify114.0ms (0.8%)

Memory

30.8MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
cost-diff	0	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
cost-diff	0	(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	0	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
cost-diff	2	(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	9	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64)))
cost-diff	2	(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	5	(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	0	(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
cost-diff	0	(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
cost-diff	0	(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	645
0	100	699
1	179	681
2	358	681
3	779	627
4	4147	555
0	9172	555

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
f
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (* f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))

Outputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
f
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (* f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))

localize331.0ms (2.2%)

Memory

-16.1MiB live, 412.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(*.f64 (PI.f64) f)
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
accuracy	5.278420956242012	(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	11.2900165443266	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.17578125	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
accuracy	0.2578125	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
accuracy	2.1348221600825825	#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
accuracy	0.3515625	(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.1348221600825825	#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
accuracy	0.11378310380939421	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	0.40625	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy	2.1348221600825825	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.2890625	(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
accuracy	0.2890625	(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
accuracy	0.359375	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))

Samples

244.0ms	238×	1	valid
25.0ms	6×	2	valid
5.0ms	12×	0	valid

Compiler

Compiled 519 to 51 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 49.0ms (22.6% of total)

ival-div: 47.0ms (21.7% of total)

ival-log: 35.0ms (16.1% of total)

ival-pow: 25.0ms (11.5% of total)

ival-exp: 17.0ms (7.8% of total)

adjust: 14.0ms (6.4% of total)

ival-cosh: 11.0ms (5.1% of total)

ival-neg: 4.0ms (1.8% of total)

ival-pi: 3.0ms (1.4% of total)

ival-sqrt: 3.0ms (1.4% of total)

ival-sinh: 3.0ms (1.4% of total)

ival-sub: 2.0ms (0.9% of total)

ival-add: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory

-2.5MiB live, 93.2MiB allocated

Counts

28 → 63

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(*.f64 (PI.f64) f)

Outputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))
(* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))))
(+ (* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))
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1
(+ 1 (* 1/32 (* (pow f 2) (pow (PI) 2))))
(+ 1 (* (pow f 2) (+ (* -1/2 (* f (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))))) (* 1/32 (pow (PI) 2)))))
(+ 1 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (* f (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/4 (* (PI) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))) (* -1/2 (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))
(* -1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ 4 (* f (PI)))
(* -2 (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
(+ (* -2 (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))))) (* 2 (* (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (sqrt (/ 1 (PI))))))
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(* f (PI))
(* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(exp (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -2 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))

Calls

3 calls:

Time

Variable

Point

Expression

30.0ms

inf

((/ (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ 2 (* 1/2 (PI))) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) -4)) (* f (/ (PI) 4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (sqrt (PI)) (/ (/ 2 (* 1/2 (PI))) f) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))))) (* (PI) f))

27.0ms

-inf

((/ (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ 2 (* 1/2 (PI))) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) -4)) (* f (/ (PI) 4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (sqrt (PI)) (/ (/ 2 (* 1/2 (PI))) f) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))))) (* (PI) f))

9.0ms

((/ (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) -4))) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (/ (sqrt (PI)) 4)) (/ 2 (* 1/2 (PI))) (/ (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (sqrt (PI))) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))) (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))))))) (pow (/ (PI) 4) -1/2) (/ (PI) 4) (log (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI)))) (pow (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ -4 (PI))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (cosh (* (/ (PI) -4) f)) (* f (/ (PI) -4)) (* f (/ (PI) 4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (sqrt (PI)) (/ (/ 2 (* 1/2 (PI))) f) (* (pow (/ (PI) 4) -1/2) (neg (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))))) (* (PI) f))

simplify301.0ms (2%)

Memory

24.7MiB live, 207.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	7087
1	1720	4159
0	10032	3879

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
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(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
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(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
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(+ (* -2 (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))))) (* f (+ (* -1 (* (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
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(* f (PI))
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(* -4 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
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(* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))
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Outputs
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(fma.f64 (fma.f64 (.f64 f (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 0 binary64))) f (.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+ (* -2 (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))))) (* f (+ (* 2 (* (sqrt (/ 1 (PI))) (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -1 (* (sqrt (/ 1 (PI))) (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* -1/3 (* (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (sqrt (/ 1 (PI))))))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal 1/32 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))))))) (fma.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 0 binary64))) f) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) f (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 0 binary64))) f))
(* f (PI))
(*.f64 (PI.f64) f)
(* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))))
(* -1 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))
(exp (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))) (PI.f64)))
(* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))
(.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) #s(literal 1/2 binary64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* -2 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))))

rewrite300.0ms (2%)

Memory

-6.4MiB live, 225.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	453
0	100	405
1	270	378
2	1217	378
0	8156	378

Stop Event

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

Counts

28 → 616

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(*.f64 (PI.f64) f)

Outputs
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (neg.f64 (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (cbrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (cbrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)))) (.f64 (PI.f64) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64)))) (.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64))) #s(literal -4 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (.f64 (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (sqrt.f64 (PI.f64))))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) f)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 f) (PI.f64)))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(.f64 (.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))) (log.f64 (pow.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(log.f64 (pow.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) f))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))

eval339.0ms (2.3%)

Memory: 10.9MiB live, 437.5MiB allocated
Compiler: Compiled 65 110 to 6 506 computations (90% saved)

prune66.0ms (0.4%)

Memory

10.0MiB live, 112.5MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 581	11	1 592
Fresh	4	8	12
Picked	4	1	5
Done	0	0	0
Total	1 589	20	1 609

Accuracy

97.6%

Counts

1 609 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	96.0%	(/.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
	96.9%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))) #s(literal -4 binary64)) (PI.f64))
▶	96.9%	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
	94.8%	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
	95.9%	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
	95.9%	(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
▶	96.7%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
▶	95.6%	(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	94.5%	(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
▶	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	95.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	93.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	79.1%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
✓	79.6%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
▶	78.5%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 680 to 955 computations (43.2% saved)

simplify123.0ms (0.8%)

Memory

9.9MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
cost-diff	0	(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
cost-diff	0	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
cost-diff	4	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
cost-diff	0	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
cost-diff	0	(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	0	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	0	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
cost-diff	0	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
cost-diff	0	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
cost-diff	4	(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
cost-diff	0	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
cost-diff	0	(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
cost-diff	0	(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	706
0	69	698
1	126	678
2	272	678
3	575	648
4	3096	578
5	7165	578
0	8096	578

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 4 binary64)
(*.f64 (PI.f64) f)
f
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
#s(literal -4 binary64)
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))

Outputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
#s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
f
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
#s(literal -4 binary64)
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (sqrt.f64 (PI.f64)))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))
(cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI.f64)
#s(literal -4 binary64)
f
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
#s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))

localize402.0ms (2.7%)

Memory

-90.2MiB live, 209.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
accuracy	0.2890625	(*.f64 (PI.f64) f)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	2.1348221600825825	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	5.278420956242012	(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	11.2900165443266	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.26171875	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
accuracy	0.37109375	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.1348221600825825	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.265625	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
accuracy	0.2890625	(*.f64 (PI.f64) f)
accuracy	0.40625	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
accuracy	2.1348221600825825	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
accuracy	0.2890625	(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
accuracy	0.2890625	(*.f64 (PI.f64) f)
accuracy	0.359375	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
accuracy	1.718766506304951	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

Samples

262.0ms	238×	1	valid
21.0ms	6×	2	valid
4.0ms	12×	0	valid

Compiler

Compiled 576 to 40 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 90.0ms (36.6% of total)

ival-mult: 59.0ms (24% of total)

ival-pow: 23.0ms (9.4% of total)

ival-log: 23.0ms (9.4% of total)

ival-exp: 17.0ms (6.9% of total)

adjust: 11.0ms (4.5% of total)

ival-cosh: 6.0ms (2.4% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-sinh: 3.0ms (1.2% of total)

ival-pi: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

ival-add: 2.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series154.0ms (1%)

Memory

39.8MiB live, 125.7MiB allocated

Counts

22 → 51

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(sqrt.f64 (PI.f64))

Outputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))
(* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))))
(+ (* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))
(+ (* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))) (* f (+ (* -2 (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(+ (* -4 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* -2 (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* -2/3 (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))))))))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* -1 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))
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(/ 4 (* f (PI)))
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(* f (PI))
(* -1/4 (* f (PI)))
(* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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Calls

3 calls:

Time

Variable

Point

Expression

70.0ms

inf

((/ (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI)))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI))) (/ (/ 4 (PI)) f) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (* (PI) f) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (* (PI) f)) (sqrt (PI)))

69.0ms

-inf

((/ (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI)))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI))) (/ (/ 4 (PI)) f) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (* (PI) f) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (* (PI) f)) (sqrt (PI)))

10.0ms

((/ (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (PI)) (* (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) -4) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (PI) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI)))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ -4 (PI))) (/ (/ 4 (PI)) f) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (/ -4 (sqrt (PI)))) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (sqrt (PI))) (* (PI) f) (* (/ (PI) -4) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (* (PI) f)) (sqrt (PI)))

simplify209.0ms (1.4%)

Memory

-13.7MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	5254
1	1528	3212
0	8828	3004

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
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(+ (* f (+ (* -1 (* (sqrt (/ 1 (PI))) (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (* (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (sqrt (/ 1 (PI))))))) (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 0 binary64) f (log.f64 f))) (.f64 (.f64 #s(literal 1/2 binary64) f) (.f64 (.f64 f (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)))))
(+ (* f (+ (* -1 (* (sqrt (/ 1 (PI))) (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* 1/6 (* (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* (sqrt (/ 1 (PI))) (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 0 binary64) f (log.f64 f))) (.f64 (.f64 f f) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 0 binary64) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal 1/2048 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal 1/32 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 0 binary64))) f) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64))))))
(* f (PI))
(*.f64 (PI.f64) f)
(* -1/4 (* f (PI)))
(.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))
(* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))
(log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(* (sqrt (/ 1 (PI))) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(exp (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))) (PI.f64)))
(* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))

rewrite251.0ms (1.7%)

Memory

-3.4MiB live, 335.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	504
0	69	388
1	197	352
2	1018	352
0	8334	352

Stop Event

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

Counts

22 → 524

Calls

Call 1

Inputs
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(sqrt.f64 (PI.f64))

Outputs
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(neg.f64 (*.f64 (neg.f64 f) (PI.f64)))
(fma.f64 (cosh.f64 (log.f64 (PI.f64))) f (*.f64 (sinh.f64 (log.f64 (PI.f64))) f))
(fma.f64 f (cosh.f64 (log.f64 (PI.f64))) (*.f64 f (sinh.f64 (log.f64 (PI.f64)))))
(+.f64 (.f64 (cosh.f64 (log.f64 (PI.f64))) f) (.f64 (sinh.f64 (log.f64 (PI.f64))) f))
(+.f64 (.f64 f (cosh.f64 (log.f64 (PI.f64)))) (.f64 f (sinh.f64 (log.f64 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(.f64 (.f64 (neg.f64 f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (.f64 (neg.f64 f) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -4 binary64)))
(.f64 (.f64 f (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (neg.f64 (PI.f64)) (/.f64 f #s(literal 4 binary64)))
(*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))
(*.f64 f (log.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64)))))
(*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)
(*.f64 (PI.f64) (neg.f64 (/.f64 f #s(literal 4 binary64))))
(*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))
(/.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal 4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal -4 binary64))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (-.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(log.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(exp.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))
(+.f64 (cosh.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))))) (sinh.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 f) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 f (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64)))))

eval273.0ms (1.9%)

Memory: 18.0MiB live, 431.9MiB allocated
Compiler: Compiled 62 917 to 4 707 computations (92.5% saved)

prune62.0ms (0.4%)

Memory

16.6MiB live, 161.9MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 396	12	1 408
Fresh	6	8	14
Picked	4	1	5
Done	0	1	1
Total	1 406	22	1 428

Accuracy

97.6%

Counts

1 428 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(/.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
	95.0%	(/.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
	96.9%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)) (PI.f64))
	96.9%	(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
	95.9%	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
	95.9%	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
	96.8%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	96.7%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	95.8%	(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	95.6%	(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	94.5%	(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f)))))
✓	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	96.6%	(.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	95.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	93.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
✓	79.6%	(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	78.5%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 2 923 to 848 computations (71% saved)

regimes81.0ms (0.5%)

Memory

-43.9MiB live, 111.7MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (log.f64 (.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))))) (PI.f64))))

Outputs

(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))

Calls

6 calls:

27.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
14.0ms	f
11.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
96.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.9%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes79.0ms (0.5%)

Memory

0.5MiB live, 91.6MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))

Outputs

(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 #s(approx (* (/ (PI) -4) f) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))

Calls

6 calls:

27.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms	f
8.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
8.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
96.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.9%	1	`f`
96.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes33.0ms (0.2%)

Memory

20.6MiB live, 66.6MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))

Outputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Calls

6 calls:

7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
6.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms	f
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
96.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes24.0ms (0.2%)

Memory

-10.7MiB live, 41.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

Outputs

(/.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))

Calls

6 calls:

6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	f
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
95.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.9%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes9.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

(/.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))

Outputs

(/.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))

Calls

6 calls:

2.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	f
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
95.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.9%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes7.0ms (0%)

Memory

-30.8MiB live, 16.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

Outputs

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

Calls

6 calls:

2.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	f
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
1.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
95.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.8%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.8%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify57.0ms (0.4%)

Memory

26.3MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	230
1	113	230
2	198	230
3	447	229
4	1786	181

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

Outputs
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 #s(approx ( (/ (PI) -4) f) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -4 binary64)) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

soundness1.3s (8.5%)

Memory

-11.8MiB live, 941.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	5254
1	1528	3212
0	8828	3004
0	43	504
0	69	388
1	197	352
2	1018	352
0	8334	352
0	61	453
0	100	405
1	270	378
2	1217	378
0	8156	378
0	61	455
0	102	370
1	331	302
0	2172	300
0	189	1040
1	610	660
2	2959	642
0	8328	598
0	423	6137
1	1608	3605
0	9237	3362
0	16	140
0	29	92
1	111	73
2	702	73
0	8529	73

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 632 to 318 computations (49.7% saved)

preprocess65.0ms (0.4%)

Memory: 28.4MiB live, 74.9MiB allocated
Compiler: Compiled 532 to 178 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze277.0ms (1.9%)

sample6.5s (44.4%)

explain425.0ms (2.9%)

preprocess200.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (0.8%)

localize125.0ms (0.9%)

series93.0ms (0.6%)

simplify326.0ms (2.2%)

rewrite265.0ms (1.8%)

eval454.0ms (3.1%)

prune23.0ms (0.2%)

simplify92.0ms (0.6%)

localize404.0ms (2.7%)

series186.0ms (1.3%)

simplify166.0ms (1.1%)

rewrite113.0ms (0.8%)

eval266.0ms (1.8%)

prune41.0ms (0.3%)

simplify114.0ms (0.8%)

localize331.0ms (2.2%)

series72.0ms (0.5%)

simplify301.0ms (2%)

rewrite300.0ms (2%)

eval339.0ms (2.3%)

prune66.0ms (0.4%)

simplify123.0ms (0.8%)

localize402.0ms (2.7%)

series154.0ms (1%)

simplify209.0ms (1.4%)

rewrite251.0ms (1.7%)

eval273.0ms (1.9%)

prune62.0ms (0.4%)

regimes81.0ms (0.5%)

regimes79.0ms (0.5%)

regimes33.0ms (0.2%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

simplify57.0ms (0.4%)

soundness1.3s (8.5%)

preprocess65.0ms (0.4%)

end0.0ms (0%)

Profiling