Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze283.0ms (1.6%)

Memory

-13.0MiB live, 272.0MiB 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
3.2%	1.6%	47.6%	0%	0%	50.8%	0%	8
4%	2%	47.2%	0%	0%	50.8%	0%	9
4.8%	2.3%	46.7%	0%	0%	51%	0%	10
5%	2.4%	46.6%	0%	0%	51%	0%	11
5.1%	2.5%	46.4%	0%	0%	51%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.5s (37%)

Memory

117.8MiB live, 6 597.7MiB allocated

Samples

2.9s	7 463×	1	invalid
2.5s	7 878×	1	valid
139.0ms	164×	2	valid
23.0ms	214×	0	valid
0.0ms	5×	0	exit
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 5.0s

ival-exp: 1.2s (24.7% of total)

adjust: 908.0ms (18.3% of total)

ival-div: 728.0ms (14.7% of total)

ival-mult: 550.0ms (11.1% of total)

ival-neg: 480.0ms (9.7% of total)

ival-log: 380.0ms (7.7% of total)

ival-add: 235.0ms (4.7% of total)

ival-pi: 226.0ms (4.6% of total)

ival-sub: 194.0ms (3.9% of total)

exact: 18.0ms (0.4% of total)

ival-true: 12.0ms (0.2% of total)

ival-assert: 7.0ms (0.1% of total)

Bogosity

explain417.0ms (2.4%)

Memory

24.1MiB live, 495.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
248	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))))`
5	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	5	(228072.62090028022)	-	`(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	248	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	6	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	5	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	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))))`	overflow	5
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	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))))`	overflow	5

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	249
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

209.0ms	488×	1	valid
9.0ms	10×	2	valid
2.0ms	14×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-exp: 54.0ms (28.9% of total)

adjust: 51.0ms (27.3% of total)

ival-log: 21.0ms (11.2% of total)

ival-div: 19.0ms (10.2% of total)

ival-mult: 17.0ms (9.1% of total)

ival-neg: 9.0ms (4.8% of total)

ival-pi: 5.0ms (2.7% of total)

ival-sub: 5.0ms (2.7% of total)

ival-add: 5.0ms (2.7% of total)

exact: 1.0ms (0.5% of total)

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

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

preprocess194.0ms (1.1%)

Memory

-28.7MiB live, 161.4MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(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

▶

6.9%

(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)

simplify83.0ms (0.5%)

Memory

41.3MiB live, 128.5MiB 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)))))

localize113.0ms (0.6%)

Memory

-6.7MiB live, 225.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2418016035444729	(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	0.390625	(.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	1.492201255254126	(/.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	56.97398028826564	(-.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

93.0ms	244×	1	valid
5.0ms	5×	2	valid
1.0ms	7×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 22.0ms (26.8% of total)

ival-exp: 21.0ms (25.6% of total)

adjust: 9.0ms (11% of total)

ival-div: 9.0ms (11% of total)

ival-log: 7.0ms (8.5% of total)

ival-sub: 4.0ms (4.9% of total)

ival-neg: 4.0ms (4.9% of total)

ival-pi: 2.0ms (2.4% of total)

ival-add: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.6%)

Memory

-15.6MiB live, 177.6MiB allocated

Counts

7 → 30

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)))))))
(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
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))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log 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))))))))
(+ (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)))))))))
(+ (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))))))))))))
(+ (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)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	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))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
35.0ms	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))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (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))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

Time

Variable

Point

Expression

44.0ms

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

35.0ms

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

simplify127.0ms (0.7%)

Memory

-1.5MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1043
1	693	721
2	3563	627
0	9622	600

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

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))))
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(/ (+ (* 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)
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(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)))
(+ (* 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))))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) #s(literal 0 binary64)) (PI.f64))
(+ (* 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))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (.f64 (.f64 (.f64 #s(literal 2 binary64) f) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)) (PI.f64))
(+ (* 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))))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (.f64 (.f64 (.f64 #s(literal 2 binary64) f) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)) (PI.f64))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log 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)) (* 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))))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (log.f64 f) #s(literal 0 binary64)))
(+ (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 (.f64 f (.f64 #s(literal 1/2 binary64) f)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.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 (.f64 f (.f64 #s(literal 1/2 binary64) f)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))
(+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 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)))
(- (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))
(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 (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)))))

rewrite303.0ms (1.7%)

Memory

6.3MiB live, 294.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	165
0	29	105
1	111	82
2	702	82
0	8529	82

Stop Event

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

Counts

7 → 755

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)))))))
(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
(.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)))))))
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(-.f64 (log.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))))) (log.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (log.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 (log.f64 (+.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)))))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
(-.f64 (log.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))))) (log.f64 (.f64 (.f64 (+.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))))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(-.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)))))
(-.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)))))) #s(literal 0 binary64))
(+.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (log.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)))))) (log1p.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 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (log.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)))))) (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.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)) #s(literal 2 binary64))))
(+.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 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)))))) (log1p.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 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
(+.f64 #s(literal 0 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 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))

eval214.0ms (1.2%)

Memory: 4.0MiB live, 189.9MiB allocated
Compiler: Compiled 46 550 to 4 103 computations (91.2% saved)

prune61.0ms (0.3%)

Memory

13.4MiB live, 60.2MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	761	19	780
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	762	19	781

Accuracy

97.8%

Counts

781 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.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)))
	96.9%	(/.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)))
	97.0%	(-.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))))
	97.1%	(.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)))))))))
▶	97.2%	(.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))
	96.7%	(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))))
	96.9%	(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)))))
	97.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.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)))))))
▶	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
▶	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))))
	54.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (.f64 #s(literal -2 binary64) (sinh.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))))))))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (-.f64 (/.f64 (+.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) #s(literal 1/2 binary64)))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 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 (/.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)))))))))
	96.8%	(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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
▶	96.1%	(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)))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))))
	80.7%	(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))))
▶	96.9%	#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
	96.2%	#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 1 512 to 884 computations (41.5% saved)

simplify176.0ms (1%)

Memory

3.0MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
cost-diff	1	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.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	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
cost-diff	1	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	2	(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	2	(fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))))
cost-diff	4	(.f64 (.f64 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))
cost-diff	5	(fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 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	(/.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	(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 (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))
cost-diff	0	(.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	817
0	122	761
1	262	709
2	793	677
3	3518	671
0	8846	669

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 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.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))
(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)
(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
#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
(fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.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)
(log.f64 f)
f
#s(literal -4 binary64)
(.f64 (.f64 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))
(*.f64 f #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))
(.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 1/192 binary64)
#s(literal -2 binary64)
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(/.f64 f (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.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)
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (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 (PI.f64) #s(literal -4 binary64))
#s(literal -4 binary64)
f
(log.f64 (sinh.f64 (*.f64 f (/.f64 (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)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.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)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))
(log.f64 (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 (PI.f64) #s(literal -4 binary64))
#s(literal -4 binary64)
f
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
#s(literal -2 binary64)
(sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))

Outputs
(.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 #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 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (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)))) (PI.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 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(/.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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(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 (*.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)
(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
#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (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 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -4 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (PI.f64)) f) f)) (PI.f64)))
(fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))))
(/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -4 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (PI.f64)) f) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log.f64 (/.f64 #s(literal 4 binary64) (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)
(log.f64 f)
f
#s(literal -4 binary64)
(.f64 (.f64 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))
(.f64 (.f64 (/.f64 f (PI.f64)) f) (.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (PI.f64)))
(*.f64 f #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) f)
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))
(.f64 (.f64 (/.f64 f (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 1/192 binary64)
#s(literal -2 binary64)
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/16 binary64)
(/.f64 f (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.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 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 (-.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 #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)
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 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))))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(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))
#s(literal -4 binary64)
f
(log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(log.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(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)
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
(.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 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)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(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))
#s(literal -4 binary64)
f
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(log.f64 (.f64 (sinh.f64 (.f64 f (/.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)))
(.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))
#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))))

localize901.0ms (5.1%)

Memory

-79.6MiB live, 566.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.390625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
accuracy	0.4175828535444729	(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))
accuracy	1.2143889472477007	(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
accuracy	32.16866527306883	(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
accuracy	0.2574266035444729	(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
accuracy	0.390625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
accuracy	1.2104826982433563	(log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
accuracy	32.16866527306883	(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
accuracy	1.0	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
accuracy	1.0	(.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
accuracy	1.6610528764452221	#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
accuracy	2.0	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
accuracy	0.2418016035444729	(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	0.390625	(.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	0.40234375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
accuracy	2.0522538929153225	#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	0.234375	(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
accuracy	0.2418016035444729	(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	0.3125	(/.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))
accuracy	1.492201255254126	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))

Samples

720.0ms	178×	2	valid
88.0ms	76×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 753 to 68 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-mult: 89.0ms (25% of total)

ival-log: 81.0ms (22.8% of total)

adjust: 61.0ms (17.1% of total)

ival-div: 43.0ms (12.1% of total)

ival-exp: 20.0ms (5.6% of total)

ival-sub: 15.0ms (4.2% of total)

ival-cosh: 12.0ms (3.4% of total)

ival-neg: 10.0ms (2.8% of total)

ival-add: 10.0ms (2.8% of total)

ival-sinh: 6.0ms (1.7% of total)

const: 4.0ms (1.1% of total)

ival-pi: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series501.0ms (2.8%)

Memory

46.7MiB live, 543.4MiB allocated

Counts

29 → 89

Calls

Call 1

Inputs
(.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 (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))
(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)))))
(/.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 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))
(fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
(*.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 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)))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
(.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) 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)))))))))
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Calls

3 calls:

Time	Variable		Point	Expression
316.0ms	f	@	-inf	((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))
142.0ms	f	@	inf	((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))
36.0ms	f	@	0	((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))

Time

Variable

Point

Expression

316.0ms

-inf

((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))

142.0ms

inf

((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))

36.0ms

((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/ 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))))))) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16)) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI)))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))))) (/ (PI) 4) (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))) (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f))))))) (* f (/ (PI) 4)) (/ (+ (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)))))) (log (/ 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)))))))) (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (* (* (* (PI) 2) 2) 1/192) (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4)))) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))) (log (* -2 (sinh (* (/ (PI) -4) f)))) (+ (log 2) (- (log (cosh (* (/ (PI) -4) f))) (log (* -2 (sinh (* (/ (PI) -4) f)))))))

simplify291.0ms (1.6%)

Memory

11.8MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	7024
1	2406	4929
0	9252	4606

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 89

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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(/.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 (/.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))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
(* -4 (/ (- (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI)))
(.f64 (/.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))) #s(literal 1/2 binary64))) (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))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -4 binary64))
(* 4 (/ (- (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI)))
(.f64 (/.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))) #s(literal 1/2 binary64))) (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))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))
(* -4 (/ (- (+ (log 2) (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))) (log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))) (PI)))
(.f64 (/.f64 (-.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))) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 (neg.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)))))) (PI.f64)) #s(literal -4 binary64))
(* 4 (/ (- (+ (log 2) (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))) (log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))) (PI)))
(.f64 (/.f64 (-.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))) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 (neg.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)))))) (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 #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)))))
(log (* 1/2 (+ (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))) #s(literal 1/2 binary64)))
(log (* 1/2 (- (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))) #s(literal 1/2 binary64)))
(- (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (log (* 1/2 (- (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))) #s(literal 1/2 binary64))) (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))) #s(literal 1/2 binary64))))
(log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))
(log.f64 (neg.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)))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))) (log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (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))) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 (neg.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))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))

rewrite293.0ms (1.7%)

Memory

1.3MiB live, 272.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	591
0	122	459
1	409	411
2	2894	409
0	8930	404

Stop Event

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

Counts

29 → 1 092

Calls

Call 1

Inputs
(.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 (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))
(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)))))
(/.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 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))
(fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))))))
(*.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 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)))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
(.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(log.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
(log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) 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)))) (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 (*.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 (pow.f64 (PI.f64) #s(literal -1 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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(.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 (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))))) (/.f64 #s(literal 4 binary64) (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)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.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))))))
(.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)))) (PI.f64)) #s(literal -4 binary64))
(.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 (/.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))) (sqrt.f64 (PI.f64)))
(/.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))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (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)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (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)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
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(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))))

eval228.0ms (1.3%)

Memory: 4.9MiB live, 379.3MiB allocated
Compiler: Compiled 50 886 to 4 111 computations (91.9% saved)

prune120.0ms (0.7%)

Memory

-10.6MiB live, 145.2MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	858	18	876
Fresh	11	3	14
Picked	5	0	5
Done	0	0	0
Total	874	21	895

Accuracy

97.8%

Counts

895 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))))
▶	97.0%	(-.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))))
	97.1%	(.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)))))))))
	96.6%	(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.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 (log.f64 (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (PI.f64))) #s(literal -4 binary64))
▶	97.2%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
	97.2%	(.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 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.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 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) (PI.f64)) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) #s(literal -2 binary64))))) f (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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 #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
▶	96.2%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
	96.1%	(.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))))
	95.6%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	96.8%	(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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
	94.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (/.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)))))
	79.8%	(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))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
	96.6%	#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)))))))) (fma.f64 (/.f64 (log.f64 (/.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 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
	96.8%	#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)))))))) (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) #s(literal -1/2 binary64)) (PI.f64)) (.f64 (/.f64 f (PI.f64)) (.f64 #s(literal 2 binary64) f)) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.8%	#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)))))))) (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 (.f64 (.f64 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
▶	96.8%	#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
▶	51.8%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))

Compiler

Compiled 2 598 to 1 288 computations (50.4% saved)

simplify198.0ms (1.1%)

Memory

-1.3MiB live, 179.1MiB 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)) #s(literal 2 binary64))
cost-diff	0	(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
cost-diff	0	(/.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)))
cost-diff	3	(-.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))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
cost-diff	0	(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
cost-diff	0	#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f)))
cost-diff	0	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
cost-diff	3	(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
cost-diff	3	(.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64))
cost-diff	4	(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
cost-diff	6	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
cost-diff	0	(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
cost-diff	0	(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
cost-diff	0	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
cost-diff	2	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
cost-diff	0	(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))))
cost-diff	0	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64))
cost-diff	0	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
cost-diff	4	(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	851
0	171	825
1	373	728
2	1218	690
3	7021	689
0	8330	688

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 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
(.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
#s(literal 2 binary64)
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
f
#s(literal -4 binary64)
#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f)
(.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) f)
#s(literal 2 binary64)
f
#s(literal -1/2 binary64)
(.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))
(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(PI.f64)
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
(neg.f64 (PI.f64))
(.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
(*.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (/.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)
#s(literal -4 binary64)
(*.f64 (PI.f64) (neg.f64 (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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(.f64 (.f64 f f) (PI.f64))
(*.f64 f f)
#s(literal -4 binary64)
(*.f64 (PI.f64) #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
(-.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 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 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
#s(literal 2 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)))
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))
#s(literal -2 binary64)
(sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))

Outputs
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
(.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 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (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)))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (/.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 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))
(sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
#s(literal 2 binary64)
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
f
#s(literal -4 binary64)
#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (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)))))))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) (neg.f64 f) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) (neg.f64 f) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(.f64 (PI.f64) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) (PI.f64)) f (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f)
(.f64 (.f64 f (.f64 (neg.f64 f) (PI.f64))) (.f64 #s(literal 1/12 binary64) (PI.f64)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64)))
(.f64 (.f64 (*.f64 (neg.f64 f) (PI.f64)) (PI.f64)) #s(literal 1/12 binary64))
(.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64))
(neg.f64 f)
(*.f64 #s(literal 2 binary64) f)
#s(literal 2 binary64)
f
#s(literal -1/2 binary64)
(.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(PI.f64)
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
(neg.f64 (PI.f64))
(.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
(.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 4 binary64))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (/.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)
#s(literal -4 binary64)
(*.f64 (PI.f64) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f)))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 #s(literal -1/12 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f (PI.f64)) f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(.f64 (.f64 f f) (PI.f64))
(.f64 (.f64 f (PI.f64)) f)
(*.f64 f f)
#s(literal -4 binary64)
(*.f64 (PI.f64) #s(literal -1/12 binary64))
(*.f64 #s(literal -1/12 binary64) (PI.f64))
#s(literal -1/12 binary64)
(-.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 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64))) (neg.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (PI.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 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 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
#s(literal 2 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 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
(log.f64 (.f64 (sinh.f64 (.f64 f (/.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)))
(.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))
#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))))

localize690.0ms (3.9%)

Memory

37.0MiB live, 842.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(/.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)))
accuracy	0.5347723303358316	(-.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))))
accuracy	1.2143889472477007	(log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))))
accuracy	1.2261076972477007	(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
accuracy	1.0	(*.f64 (PI.f64) #s(literal -1/12 binary64))
accuracy	1.6610528764452221	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
accuracy	2.0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	28.969831468321395	(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
accuracy	0.4459762695368841	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
accuracy	1.0	(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
accuracy	1.0	(.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))
accuracy	1.6610528764452221	#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
accuracy	0.2418016035444729	(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
accuracy	0.27734375	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
accuracy	0.3125	(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
accuracy	2.0522538929153225	#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
accuracy	0.3125	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.492201255254126	(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))

Samples

530.0ms	243×	1	valid
21.0ms	5×	2	valid
6.0ms	8×	0	valid

Compiler

Compiled 707 to 105 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

ival-mult: 144.0ms (34.2% of total)

ival-div: 79.0ms (18.8% of total)

ival-log: 54.0ms (12.8% of total)

adjust: 52.0ms (12.4% of total)

ival-exp: 22.0ms (5.2% of total)

ival-sinh: 15.0ms (3.6% of total)

ival-add: 13.0ms (3.1% of total)

const: 11.0ms (2.6% of total)

ival-sub: 9.0ms (2.1% of total)

ival-neg: 8.0ms (1.9% of total)

ival-cosh: 6.0ms (1.4% of total)

ival-sqrt: 4.0ms (1% of total)

ival-pi: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series179.0ms (1%)

Memory

-12.6MiB live, 234.5MiB allocated

Counts

29 → 79

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64))
(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(-.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 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))
(sqrt.f64 (PI.f64))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal -1/12 binary64))
(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)))) (/.f64 (PI.f64) #s(literal -4 binary64)))

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)))))))))
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(* -4 (/ (log 2) (PI)))
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(log 2)
(+ (log 2) (* 1/32 (* (pow f 2) (pow (PI) 2))))
(+ (log 2) (* (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)))))
(+ (log 2) (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))) (* 1/24 (* f (+ (* -12 (+ (* -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)))))))))))) (* -3/256 (pow (PI) 4))))))))))
2
(+ 2 (* 1/16 (* (pow f 2) (pow (PI) 2))))
(+ 2 (* (pow f 2) (+ (* -1 (* f (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))))) (* 1/16 (pow (PI) 2)))))
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(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* -2 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (- (* f (- (* 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)))))) (* 2 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (- (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* -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))))))))) (+ (* -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)))))) (* 2 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(+ (log f) (log (* -1 (- (* -1/4 (PI)) (* 1/4 (PI))))))
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(* -4 (/ (+ (log f) (log (* -1 (- (* -1/4 (PI)) (* 1/4 (PI)))))) (PI)))
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(/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (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 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(* (pow f 2) (+ (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(* (pow f 2) (+ (* 4 (/ (* (PI) (+ (log (/ 1 f)) (log (/ 4 (PI))))) (pow f 2))) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (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)))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* -1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(* -1/12 (PI))
(+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1/12 (PI)))
(- (* -4 (/ (log (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))) (PI))) (* -4 (/ (log (* -1 (- (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))))))) (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)))))))
(log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))
(* -4 (/ (log (* -1 (- (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (PI)))
(* (pow f 2) (+ (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (+ (* 4 (/ (* (PI) (+ (log (/ -4 (PI))) (log (/ -1 f)))) (pow f 2))) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1/12 (PI)))

Calls

3 calls:

Time

Variable

Point

Expression

62.0ms

((* (sqrt (PI)) (/ (sqrt (PI)) 4)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (/ 2 (* (* (PI) 1/2) f)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (* 2 f) -1/2) (+ (* (PI) -1/24) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (* f f)) (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (- (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4))) (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (log (* (cosh (* (/ (PI) -4) f)) 2)) (* (cosh (* (/ (PI) -4) f)) 2) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4))))) (sqrt (PI)) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (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)))))))) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI)) (log (/ 4 (PI))) (* (PI) -1/12) (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4)))

57.0ms

-inf

((* (sqrt (PI)) (/ (sqrt (PI)) 4)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (/ 2 (* (* (PI) 1/2) f)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (* 2 f) -1/2) (+ (* (PI) -1/24) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (* f f)) (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (- (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4))) (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (log (* (cosh (* (/ (PI) -4) f)) 2)) (* (cosh (* (/ (PI) -4) f)) 2) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4))))) (sqrt (PI)) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (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)))))))) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI)) (log (/ 4 (PI))) (* (PI) -1/12) (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4)))

55.0ms

inf

((* (sqrt (PI)) (/ (sqrt (PI)) 4)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4)))))) (/ 2 (* (* (PI) 1/2) f)) (* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (* 2 f) -1/2) (+ (* (PI) -1/24) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (* f f)) (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (- (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4))) (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (log (* (cosh (* (/ (PI) -4) f)) 2)) (* (cosh (* (/ (PI) -4) f)) 2) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (* (sqrt (PI)) (/ (sqrt (PI)) 4))))) (sqrt (PI)) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (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)))))))) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI)) (log (/ 4 (PI))) (* (PI) -1/12) (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4)))

simplify245.0ms (1.4%)

Memory

-39.9MiB live, 221.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	524	4683
1	1918	3110
0	9269	2902

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

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))) (PI))
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(/ 4 (* f (PI)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* 4 (* (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))
(+ (* 4 (* (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))) (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* -1 f)
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Outputs
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rewrite202.0ms (1.1%)

Memory

24.0MiB live, 298.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	635
0	171	550
1	591	491
2	4027	491
0	8093	489

Stop Event

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

Counts

29 → 569

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (PI.f64))
(log.f64 #s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64))
(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(-.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 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 binary64))
(/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))
(sqrt.f64 (PI.f64))
#s(approx (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal -1/12 binary64))
(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)))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Outputs
(*.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 (neg.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 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (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 (/.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 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (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 (pow.f64 (PI.f64) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (/.f64 #s(literal 4 binary64) (PI.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 (/.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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.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 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (PI.f64))))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (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))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (log.f64 (.f64 (.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)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 (.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)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (-.f64 (neg.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (/.f64 (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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 (.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)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 (.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)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))))
(/.f64 (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (pow.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) #s(literal 2 binary64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
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(*.f64 (PI.f64) #s(literal -1/12 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 2 binary64)) (log.f64 (pow.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (log.f64 #s(literal -2 binary64)))))))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))))
(log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))
(.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (/.f64 (log.f64 #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64))))

eval119.0ms (0.7%)

Memory: -18.0MiB live, 230.1MiB allocated
Compiler: Compiled 39 549 to 3 521 computations (91.1% saved)

prune40.0ms (0.2%)

Memory

-0.7MiB live, 92.4MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	611	13	624
Fresh	5	11	16
Picked	4	1	5
Done	0	0	0
Total	620	25	645

Accuracy

97.8%

Counts

645 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))))
	95.3%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	96.6%	(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64))
✓	97.2%	(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (sinh.f64 (.f64 f (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))))) (PI.f64)) #s(literal -4 binary64))
▶	97.2%	(.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 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.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 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) (PI.f64)) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) #s(literal -2 binary64))))) f (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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 #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
	96.0%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	96.2%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
	96.1%	(.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))))
▶	95.6%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
	96.8%	(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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
	79.8%	(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))))
	95.9%	#s(approx (- (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4))) (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (log.f64 f)) (PI.f64)))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
	96.8%	#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)))))))) (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) #s(literal -1/2 binary64)) (PI.f64)) (.f64 (/.f64 f (PI.f64)) (.f64 #s(literal 2 binary64) f)) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
▶	96.9%	#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
	96.8%	#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 (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64) (.f64 (.f64 (neg.f64 (PI.f64)) f) (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))))) (.f64 (PI.f64) (neg.f64 (PI.f64)))))
	4.3%	#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
▶	51.8%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
	51.7%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 f f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
	51.7%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) f) (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
	51.8%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (PI.f64) #s(literal -1/12 binary64) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))))) (*.f64 f f))))
	53.1%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)))
▶	4.3%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))

Compiler

Compiled 3 532 to 1 848 computations (47.7% saved)

simplify311.0ms (1.8%)

Memory

32.2MiB live, 327.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
cost-diff	1	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 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	4	(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	1	(.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64)))
cost-diff	1	(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
cost-diff	2	(fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
cost-diff	8	(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
cost-diff	0	(fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
cost-diff	0	(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
cost-diff	0	#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
cost-diff	0	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
cost-diff	0	#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
cost-diff	0	#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
cost-diff	0	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f 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	(log.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))))))
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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1012
0	165	957
1	360	922
2	1148	835
3	6490	835
0	8415	825

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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #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 (PI.f64) f) #s(literal 1/4 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 (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 (.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)
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
(*.f64 #s(literal -1/12 binary64) (PI.f64))
#s(literal -1/12 binary64)
(PI.f64)
(*.f64 f f)
f
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
(fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64)))
(log.f64 (/.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 (.f64 f f) (PI.f64))
(*.f64 f f)
#s(literal -4 binary64)
(*.f64 #s(literal -1/12 binary64) (PI.f64))
#s(literal -1/12 binary64)
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
(.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 f (PI.f64))
f
(PI.f64)
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
#s(literal -4 binary64)
(*.f64 (neg.f64 (PI.f64)) (PI.f64))
(neg.f64 (PI.f64))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64)))
(.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(.f64 (.f64 #s(literal -1 binary64) f) (PI.f64))
(*.f64 #s(literal -1 binary64) f)
#s(literal -1 binary64)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(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 -1/2 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
#s(literal -1/2 binary64)
#s(literal 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 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)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f

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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(.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 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (log.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)))))) (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 (PI.f64) #s(literal 4 binary64)) f))))) (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 (PI.f64) f) #s(literal 1/4 binary64))))))
(log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 #s(approx ( f (/ (PI) 4)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.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 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(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 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 #s(approx (* f (/ (PI) 4)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
#s(approx (* f (/ (PI) 4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (* f (/ (PI) 4)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
#s(literal 1/4 binary64)
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))))
(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
(.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))))
#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
(*.f64 #s(literal -1/12 binary64) (PI.f64))
#s(literal -1/12 binary64)
(PI.f64)
(*.f64 f f)
f
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
(fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) f) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (.f64 (.f64 f f) (PI.f64)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(log.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) f) (PI.f64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(.f64 (.f64 f f) (PI.f64))
(*.f64 f f)
#s(literal -4 binary64)
(*.f64 #s(literal -1/12 binary64) (PI.f64))
#s(literal -1/12 binary64)
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (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)))))))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
(fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64)))
(.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (log.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (PI.f64))
(log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))
(log.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
#s(literal 1/4 binary64)
(*.f64 f (PI.f64))
f
(PI.f64)
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))
#s(literal -4 binary64)
(*.f64 (neg.f64 (PI.f64)) (PI.f64))
(neg.f64 (PI.f64))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) (.f64 (*.f64 f (PI.f64)) #s(literal -1/12 binary64)))
(.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (PI.f64)) f)
(.f64 (.f64 #s(literal -1 binary64) f) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) f)
(*.f64 #s(literal -1 binary64) f)
(neg.f64 f)
#s(literal -1 binary64)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal 1/12 binary64)
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 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)))))
(.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 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) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (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)
#s(literal 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 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 (/ (+ (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) 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))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f

localize606.0ms (3.4%)

Memory

-21.8MiB live, 823.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.390625	(.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
accuracy	0.40234375	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
accuracy	1.0	(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	2.0522538929153225	#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	0.33431625976844204	(fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
accuracy	0.649765039073768	(.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64)))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 1/12 binary64))
accuracy	1.6610528764452221	#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
accuracy	0.40234375	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	1.0	(*.f64 #s(literal -1/12 binary64) (PI.f64))
accuracy	1.6610528764452221	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
accuracy	28.969831468321395	(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
accuracy	1.0	(*.f64 #s(literal -1/12 binary64) (PI.f64))
accuracy	1.6610528764452221	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
accuracy	28.969831468321395	(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
accuracy	60.49009764321049	#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
accuracy	0.234375	(*.f64 (PI.f64) f)
accuracy	0.2418016035444729	(log.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))))))
accuracy	0.3125	(/.f64 (log.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)))))) (PI.f64))
accuracy	1.492201255254126	(/.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)))))

Samples

474.0ms	244×	1	valid
20.0ms	5×	2	valid
5.0ms	7×	0	valid

Compiler

Compiled 724 to 98 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-mult: 131.0ms (29.9% of total)

adjust: 79.0ms (18% of total)

ival-log: 78.0ms (17.8% of total)

ival-div: 52.0ms (11.9% of total)

ival-cosh: 18.0ms (4.1% of total)

ival-exp: 17.0ms (3.9% of total)

ival-add: 13.0ms (3% of total)

const: 12.0ms (2.7% of total)

ival-pow: 10.0ms (2.3% of total)

ival-neg: 8.0ms (1.8% of total)

ival-sub: 7.0ms (1.6% of total)

ival-pow2: 5.0ms (1.1% of total)

ival-pi: 3.0ms (0.7% of total)

ival-sinh: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series121.0ms (0.7%)

Memory

15.8MiB live, 161.7MiB allocated

Counts

27 → 62

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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #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 (PI.f64) f) #s(literal 1/4 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 (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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
(fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
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(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(+ (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI))) (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(+ (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI))) (* -1/12 (* (pow f 2) (PI))))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (* (pow f 2) (PI))))
(/ (+ (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI))) (* -1/12 (* (pow f 2) (PI)))) (pow f 2))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1/12 (* (pow f 2) (PI))))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (* (pow f 2) (PI))))
(/ (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1/12 (* (pow f 2) (PI)))) (pow f 2))
(* -1/12 (* (pow f 2) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(* -1/12 (* f (pow (PI) 2)))
(* 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))))
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(* f (PI))
(/ 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 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (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)))
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(* -1/12 (PI))
(+ (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* -1/12 (PI)))
(* (pow f 2) (+ (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(+ (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (PI)))) (* -1/12 (PI)))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (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)))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(* (pow f 2) (+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(+ (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* -1/12 (PI)))
(* (pow f 2) (+ (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (PI)))) (* -1/12 (PI))))
(+ (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (PI)))) (* -1/12 (PI)))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))

Calls

3 calls:

Time

Variable

Point

Expression

71.0ms

inf

((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (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)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (* f f)) (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (log (/ (/ 4 (PI)) f)) (* (* f f) (PI))) -4) (* -1/12 (PI))) (* f f)) (+ (* (/ (log (/ (/ 4 (PI)) f)) (* (* f f) (PI))) -4) (* -1/12 (PI))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (+ (* (* (log (* 1/4 (* f (PI)))) (PI)) (/ -4 (* (neg (PI)) (PI)))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI)))) (/ -4 (* (neg (PI)) (PI))) (* (* (* -1 f) (PI)) (* (PI) 1/12)) (pow (pow (/ (PI) 4) -1/2) 2) (/ 2 (* 1/2 (PI))) (neg (* (pow (pow (/ (PI) 4) -1/2) 2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (pow (pow (/ (PI) 4) -1/2) 2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (PI) f) (* -1/12 (PI)) (/ (/ 4 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (PI) 1/12) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f))

28.0ms

-inf

((* (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) -4) (/ (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (PI)) (log (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (PI) 4))))) (/ (cosh (* (/ (PI) -4) f)) (sinh (* f (/ (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)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (* f f)) (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (* (+ (* (/ (log (/ (/ 4 (PI)) f)) (* (* f f) (PI))) -4) (* -1/12 (PI))) (* f f)) (+ (* (/ (log (/ (/ 4 (PI)) f)) (* (* f f) (PI))) -4) (* -1/12 (PI))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (+ (* (* (log (* 1/4 (* f (PI)))) (PI)) (/ -4 (* (neg (PI)) (PI)))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI)))) (/ -4 (* (neg (PI)) (PI))) (* (* (* -1 f) (PI)) (* (PI) 1/12)) (pow (pow (/ (PI) 4) -1/2) 2) (/ 2 (* 1/2 (PI))) (neg (* (pow (pow (/ (PI) 4) -1/2) 2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (pow (pow (/ (PI) 4) -1/2) 2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (PI) f) (* -1/12 (PI)) (/ (/ 4 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (PI) 1/12) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 2 (* 1/2 (PI))) f))

17.0ms

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simplify301.0ms (1.7%)

Memory

-19.6MiB live, 367.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	3689
1	1331	2426
2	6539	2386
0	8747	2240

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

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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rewrite225.0ms (1.3%)

Memory

26.6MiB live, 254.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	810
0	165	673
1	554	621
2	3519	611
0	8181	603

Stop Event

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

Counts

27 → 377

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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #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 (PI.f64) f) #s(literal 1/4 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 (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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f)))
(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
(.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))
(fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
(.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))
(*.f64 (PI.f64) f)
(*.f64 #s(literal -1/12 binary64) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) #s(literal 1/12 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 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)

Outputs
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (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))))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (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 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 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 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (neg.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (log.f64 (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))))) (log.f64 (sinh.f64 (neg.f64 (neg.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))))) (log.f64 (sinh.f64 (neg.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(-.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)))))))
(-.f64 (log.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (log.f64 (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))))) (sinh.f64 (neg.f64 (neg.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 (neg.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64))))) (sinh.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal -4 binary64)))) (sinh.f64 (neg.f64 #s(approx ( f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))))
(.f64 (.f64 #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))) (neg.f64 f)) (neg.f64 f))
(.f64 (.f64 #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))) (fabs.f64 f)) (fabs.f64 f))
(.f64 (.f64 #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)
(.f64 (neg.f64 f) (.f64 (neg.f64 f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))))
(.f64 (fabs.f64 f) (.f64 (fabs.f64 f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64)))))
(.f64 (.f64 f f) #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))))
(.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))
(.f64 f (.f64 #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f))
#s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f)))
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eval94.0ms (0.5%)

Memory: 4.4MiB live, 138.2MiB allocated
Compiler: Compiled 29 726 to 1 866 computations (93.7% saved)

prune133.0ms (0.7%)

Memory

42.0MiB live, 225.5MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	378	12	390
Fresh	7	12	19
Picked	3	2	5
Done	1	0	1
Total	389	26	415

Accuracy

97.8%

Counts

415 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))))
	95.3%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	96.6%	(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64))
	97.2%	(.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 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
✓	97.2%	(.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 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.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 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) f #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
	96.9%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) (PI.f64)) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) #s(literal -2 binary64))))) f (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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 #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 binary64))
	96.2%	(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
	96.1%	(.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))))
	96.3%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 (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)))))
	95.6%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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)))))
	96.8%	(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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
	96.9%	#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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (PI.f64)))))
	96.8%	#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)))))))) (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) #s(literal -1/2 binary64)) (PI.f64)) (.f64 (/.f64 f (PI.f64)) (.f64 #s(literal 2 binary64) f)) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.9%	#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64)))))
	96.8%	#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 (fma.f64 (.f64 (.f64 (neg.f64 f) (PI.f64)) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) (neg.f64 (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64)))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
	96.8%	#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 (fma.f64 (.f64 (.f64 f (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f))) (.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))))
	4.3%	#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
	51.7%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) f) (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
	51.8%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
	51.7%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
	53.1%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)))
	4.3%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
	4.3%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
✓	4.3%	#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
	96.2%	#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)))))))) #s(approx (+ (* (* (log (* 1/4 (* f (PI)))) (PI)) (/ -4 (* (neg (PI)) (PI)))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI)))) (.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))

Compiler

Compiled 5 879 to 1 643 computations (72.1% saved)

regimes213.0ms (1.2%)

Memory

-39.9MiB live, 293.8MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
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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))))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 (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)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) 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 (/.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 (+.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) #s(literal 1/2 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 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) f))) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f))) (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (.f64 #s(literal -2 binary64) (sinh.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))))))))))
(.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 (log.f64 (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)))) (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 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal 2 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 (/.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 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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))) (PI.f64)) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) #s(literal -2 binary64))))) f (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 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 #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f))) (PI.f64)) #s(literal -4 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))))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64)))) (log.f64 (/.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) f)) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64))

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 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))

Calls

6 calls:

106.0ms	(.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)))))))
23.0ms	f
18.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
14.0ms	(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))))))
12.0ms	(/.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
97.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.2%	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)))))`
97.2%	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))))))`
97.2%	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)))))))`
97.2%	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))))))))`
97.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes90.0ms (0.5%)

Memory

23.3MiB live, 217.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (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))))
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 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)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (PI.f64) #s(literal -1/12 binary64) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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 (fma.f64 (.f64 (.f64 (neg.f64 f) (PI.f64)) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) (neg.f64 (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64)))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.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 (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) f) (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 f f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (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 (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64) (.f64 (.f64 (neg.f64 (PI.f64)) f) (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))))) (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (/.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)))))
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (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)))))))) (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 (.f64 (.f64 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
#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)))))))) (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) #s(literal -1/2 binary64)) (PI.f64)) (.f64 (/.f64 f (PI.f64)) (.f64 #s(literal 2 binary64) f)) (.f64 (log.f64 (/.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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (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 (fma.f64 (.f64 (.f64 f (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f))) (.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (PI.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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
#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)))))))) (fma.f64 (/.f64 (log.f64 (/.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 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
#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)))))))) #s(approx (+ (* (* (log (* 1/4 (* f (PI)))) (PI)) (/ -4 (* (neg (PI)) (PI)))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI)))) (.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (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))))
#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)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))
#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))
#s(approx (- (/ (log (* (cosh (* (/ (PI) -4) f)) 2)) (/ (PI) -4)) (/ (log (* -2 (sinh (* (/ (PI) -4) f)))) (/ (PI) -4))) (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (log.f64 f)) (PI.f64)))))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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)))))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 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 (.f64 (PI.f64) f) #s(literal 1/4 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 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal -4 binary64))

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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))

Calls

6 calls:

38.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms	(.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)))))))
10.0ms	(/.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)))))
10.0ms	f
9.0ms	(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))))))))

Results

Accuracy	Segments	Branch
97.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.2%	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)))))`
97.2%	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))))))`
97.2%	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)))))))`
97.2%	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))))))))`
97.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes105.0ms (0.6%)

Memory

-14.1MiB live, 124.7MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
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Outputs

#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)))))))) (fma.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 f #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (PI.f64))))))

Calls

6 calls:

38.0ms	f
30.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms	(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))))))
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	`(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)

regimes64.0ms (0.4%)

Memory

26.8MiB live, 122.2MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (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))))
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 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)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (PI.f64) #s(literal -1/12 binary64) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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 (fma.f64 (.f64 (.f64 (neg.f64 f) (PI.f64)) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) (neg.f64 (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64)))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.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 (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) f) (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 f f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (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 (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64) (.f64 (.f64 (neg.f64 (PI.f64)) f) (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))))) (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (/.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)))))
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) f) (PI.f64)) (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (PI.f64))) (*.f64 (PI.f64) (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)))))))) (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 (.f64 (.f64 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
#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)))))))) (fma.f64 (.f64 (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) #s(literal -1/2 binary64)) (PI.f64)) (.f64 (/.f64 f (PI.f64)) (.f64 #s(literal 2 binary64) f)) (.f64 (log.f64 (/.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 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) f) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) f) (neg.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (neg.f64 (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 (fma.f64 (.f64 (.f64 f (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f))) (.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (PI.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))))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))))))
#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)))))))) (fma.f64 (/.f64 (log.f64 (/.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 (/.f64 f (PI.f64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal -1/24 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64))) (.f64 #s(literal 2 binary64) f))))
#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)))))))) #s(approx (+ (* (* (log (* 1/4 (* f (PI)))) (PI)) (/ -4 (* (neg (PI)) (PI)))) (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI)))) (.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (/ (PI) -4) f))) (log (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (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))))
#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)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 f f))))

Outputs

#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)))))))) (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (PI.f64)))))

Calls

6 calls:

19.0ms	(.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)))))))
10.0ms	(/.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)))))
9.0ms	f
9.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms	(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
96.9%	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)

regimes59.0ms (0.3%)

Memory

-15.0MiB live, 76.5MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (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))))
#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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 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)))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (*.f64 #s(literal -1/12 binary64) (PI.f64))) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (PI.f64) #s(literal -1/12 binary64) (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (.f64 (.f64 f f) (PI.f64))) #s(literal -4 binary64) (.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))
#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 (fma.f64 (.f64 (.f64 (neg.f64 f) (PI.f64)) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)) (neg.f64 (PI.f64)) (.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (PI.f64) #s(literal -4 binary64)))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.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 (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) f) (/.f64 #s(literal -4 binary64) (.f64 f (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 f f)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))

Outputs

#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)))))))) (fma.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64)))))

Calls

6 calls:

31.0ms	(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))))))
7.0ms	f
5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(/.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)))))
4.0ms	(.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
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	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.9%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes14.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))) (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))))

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

Calls

6 calls:

3.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms	f
2.0ms	(.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)))))))
2.0ms	(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))))))
2.0ms	(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))))))))

Results

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

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes66.0ms (0.4%)

Memory

-30.0MiB live, 26.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#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)))))))) #s(approx (/ (+ (* (* (* (* (* 2 f) -1/2) (* (+ (* (PI) -1/24) (* 1/8 (PI))) (PI))) f) (neg (PI))) (* (PI) (* (neg (log (/ (/ 4 (PI)) f))) -4))) (* (PI) (neg (PI)))) (.f64 (.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) f) f)))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 f f))))

Outputs

#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (*.f64 #s(approx (+ (* (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (*.f64 #s(literal -1/12 binary64) (PI.f64))) (*.f64 f f))))

Calls

6 calls:

56.0ms	(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))))))))
2.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms	f
2.0ms	(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	(/.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
4.3%	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)))))`
4.3%	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))))))`
4.3%	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)))))))`
4.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
4.3%	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))))))))`
4.3%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify58.0ms (0.3%)

Memory

20.9MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	401
1	300	393
2	943	383
3	5078	383

Stop Event

1×	node 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 (.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64)))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))

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 (.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 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 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
#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)))))))) (fma.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 f #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 f (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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (neg.f64 f)) (/.f64 f (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)))))))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) f) (/.f64 (neg.f64 f) (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)))))))) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (PI.f64)) (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(approx (/ (* (* (* (* -1 f) (PI)) (* (PI) 1/12)) (* f (PI))) (* (PI) (PI))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64)))))
(.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (/ (PI) -4) f)) (sinh (* f (/ (PI) 4)))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
#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)))))))) #s(approx (+ (* (/ (- (log (/ 2 (* 1/2 (PI)))) (log f)) (PI)) -4) (* (* f 2) (* (* (* -1/2 (PI)) (+ (* (* (* (* (PI) 2) 2) 1/192) -2) (* (* (PI) 2) 1/16))) (/ f (PI))))) (.f64 #s(approx (+ ( (/ (- (log (/ 4 (PI))) (log f)) (* (* f f) (PI))) -4) (* (PI) -1/12)) (.f64 #s(literal -1/12 binary64) (PI.f64))) (.f64 f f))))

derivations2.5s (14.2%)

Memory

-77.5MiB live, 1 230.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	591
0	122	459
1	409	411
2	2894	409
0	8930	404
0	377	3689
1	1331	2426
2	6539	2386
0	8747	2240
0	109	635
0	171	550
1	591	491
2	4027	491
0	8093	489
0	208	1043
1	693	721
2	3563	627
0	9622	600
0	658	7024
1	2406	4929
0	9252	4606
0	524	4683
1	1918	3110
0	9269	2902
0	16	165
0	29	105
1	111	82
2	702	82
0	8529	82
0	110	810
0	165	673
1	554	621
2	3519	611
0	8181	603

Stop Event

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

Compiler

Compiled 402 to 156 computations (61.2% saved)

preprocess83.0ms (0.5%)

Memory: 33.0MiB live, 124.5MiB allocated
Compiler: Compiled 878 to 344 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze283.0ms (1.6%)

sample6.5s (37%)

explain417.0ms (2.4%)

preprocess194.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify83.0ms (0.5%)

localize113.0ms (0.6%)

series101.0ms (0.6%)

simplify127.0ms (0.7%)

rewrite303.0ms (1.7%)

eval214.0ms (1.2%)

prune61.0ms (0.3%)

simplify176.0ms (1%)

localize901.0ms (5.1%)

series501.0ms (2.8%)

simplify291.0ms (1.6%)

rewrite293.0ms (1.7%)

eval228.0ms (1.3%)

prune120.0ms (0.7%)

simplify198.0ms (1.1%)

localize690.0ms (3.9%)

series179.0ms (1%)

simplify245.0ms (1.4%)

rewrite202.0ms (1.1%)

eval119.0ms (0.7%)

prune40.0ms (0.2%)

simplify311.0ms (1.8%)

localize606.0ms (3.4%)

series121.0ms (0.7%)

simplify301.0ms (1.7%)

rewrite225.0ms (1.3%)

eval94.0ms (0.5%)

prune133.0ms (0.7%)

regimes213.0ms (1.2%)

regimes90.0ms (0.5%)

regimes105.0ms (0.6%)

regimes64.0ms (0.4%)

regimes59.0ms (0.3%)

regimes14.0ms (0.1%)

regimes66.0ms (0.4%)

simplify58.0ms (0.3%)

derivations2.5s (14.2%)

preprocess83.0ms (0.5%)

end0.0ms (0%)

Profiling