Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze266.0ms (2.3%)

Memory

32.9MiB live, 489.6MiB allocated; 76ms collecting garbage

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)

sample6.9s (60.5%)

Memory

154.6MiB live, 8 841.1MiB allocated; 2.5s collecting garbage

Samples

3.1s	7 899×	1	valid
2.5s	7 474×	1	invalid
209.0ms	160×	2	valid
32.0ms	197×	0	valid
0.0ms	3×	0	invalid
0.0ms	2×	0	exit

Precisions

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

ival-exp: 1.5s (29.8% of total)

adjust: 750.0ms (15% of total)

ival-div: 731.0ms (14.6% of total)

ival-mult: 629.0ms (12.6% of total)

ival-log: 380.0ms (7.6% of total)

ival-neg: 315.0ms (6.3% of total)

ival-add: 238.0ms (4.8% of total)

ival-pi: 232.0ms (4.6% of total)

ival-sub: 214.0ms (4.3% of total)

exact: 21.0ms (0.4% of total)

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

Bogosity

explain321.0ms (2.8%)

Memory

8.9MiB live, 433.3MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	1	(0.005823309804344409)	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))))`
3	0	-	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)))))`
3	3	(4795783.449749051)	0	-	`(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	0	-	1	(66.88561001256434)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
2	0	-	1	(66.88561001256434)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	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	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	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	-	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	-	0	-	`f`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	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	5	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	3	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(+.f64 (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	3
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(-.f64 (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	3
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	sensitivity	1	1
`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))))))`	oflow-rescue	1	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	6
↳	`(/.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)))))`	overflow	1
↳	`(-.f64 (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	3
↳	`(+.f64 (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	3
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	252	1
-	1	2

Precision

0.9960474308300395

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	1
-	1	0	2

Precision?

0.9960474308300395

Recall?

0.9960474308300395

Freqs

test

number	freq
0	3
1	248
2	4
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

146.0ms	484×	1	valid
7.0ms	8×	2	valid
3.0ms	20×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-exp: 35.0ms (28.8% of total)

ival-div: 19.0ms (15.6% of total)

adjust: 19.0ms (15.6% of total)

ival-mult: 12.0ms (9.9% of total)

ival-log: 12.0ms (9.9% of total)

ival-neg: 8.0ms (6.6% of total)

ival-pi: 5.0ms (4.1% of total)

ival-sub: 5.0ms (4.1% of total)

ival-add: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess127.0ms (1.1%)

Memory

43.0MiB live, 134.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	118
1	88	96
2	288	96
3	827	91
4	5380	83
0	16	37
0	29	37
1	61	32
2	160	32
3	504	32
4	2487	22
0	8486	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 (/.f64 f #s(literal -4 binary64)) (PI.f64))) (*.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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory

-45.7MiB live, 0.9MiB allocated; 3ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

8.1%

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

series186.0ms (1.6%)

Memory

-24.6MiB live, 107.7MiB allocated; 166ms collecting garbage

Counts

16 → 43

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
#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(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#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(hole binary64 (- (* -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))))))
#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(hole binary64 (- (* 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))))))
#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(hole binary64 (- (* 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))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 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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#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole 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)))))
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))

Calls

3 calls:

Time	Variable		Point	Expression
134.0ms	f	@	inf	((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))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
41.0ms	f	@	-inf	((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))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
8.0ms	f	@	0	((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))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

Time

Variable

Point

Expression

134.0ms

inf

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

41.0ms

-inf

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

8.0ms

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

rewrite170.0ms (1.5%)

Memory

9.8MiB live, 190.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	301	3547
0	328	2177
1	1875	2038
0	8404	2038

Stop Event

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

Counts

59 → 123

Calls

Call 1

Inputs
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Outputs
(.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(neg.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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))
(PI.f64)
#s(literal 4 binary64)
(-.f64 (log.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (log.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.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 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)))
(pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))) f))
(exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 f #s(literal 2 binary64)))
(*.f64 (/.f64 f #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
f
(pow.f64 (exp.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))) f)
(pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f))
(pow.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))) (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))
(-.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))
(+.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))
(neg.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 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (+.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (.f64 f f)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (.f64 f f)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/122880 binary64))) (.f64 #s(literal -1/122880 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 f f)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 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)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (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)))))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (PI.f64)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval62.0ms (0.5%)

Memory

-4.0MiB live, 86.5MiB allocated; 9ms collecting garbage

Samples

20.0ms	504×	0	valid
0.0ms	6×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 9 926 to 1 204 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (32.1% of total)

ival-mult: 3.0ms (32.1% of total)

ival-add: 2.0ms (21.4% of total)

adjust: 0.0ms (0% of total)

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

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

prune13.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	196	12	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Accuracy

97.8%

Counts

209 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
	8.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (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))))))))
	8.0%	(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 (/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	8.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	95.3%	(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)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) f)))))
▶	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (-.f64 (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) f)) f) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
▶	97.0%	(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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	81.0%	(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
	97.1%	#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)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 1 212 to 636 computations (47.5% saved)

series211.0ms (1.9%)

Memory

12.8MiB live, 243.8MiB allocated; 42ms collecting garbage

Counts

72 → 121

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.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))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.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 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
#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 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64))
(log.f64 (/.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))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 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 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) 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 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) 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 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) f))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)) f)
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)
(.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 0 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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(.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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 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) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
#s(literal -1/4 binary64)
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 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 (.f64 (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (-.f64 (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) f)) f) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
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Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) #s(hole binary64 (* -4 (/ (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))
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#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) #s(hole binary64 (* 4 (/ (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))
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#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) #s(hole binary64 (+ (* 4 (/ (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (+ (* 4 (* f (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -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))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))) (* 4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) #s(hole binary64 (+ (* 4 (/ (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (+ (* 4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* f (+ (* 4 (* f (- (* -1/2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 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)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI)))))) (* 4 (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -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))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))))))))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) #s(hole binary64 (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) #s(hole binary64 (- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) #s(hole binary64 (- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/32 (pow (PI) 2)) (* 1/2 (+ (* -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))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) #s(hole binary64 (- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/32 (pow (PI) 2)) (* f (- (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/6 (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 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)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -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))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) #s(hole binary64 (log 2)))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) #s(hole binary64 (+ (log 2) (* 1/32 (* (pow f 2) (pow (PI) 2))))))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) #s(hole binary64 (+ (log 2) (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2)))))))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) #s(hole binary64 (+ (log 2) (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/24 (* f (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4))))))))))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(hole binary64 (+ 2 (* 1/16 (* (pow f 2) (pow (PI) 2))))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(hole binary64 (+ 2 (* (pow f 2) (+ (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/16 (pow (PI) 2)))))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(hole binary64 (+ 2 (* (pow f 2) (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4)))))) (* -1 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))))
#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 1))
#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 (+ 1 (* 1/32 (* (pow f 2) (pow (PI) 2))))))
#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2)))))))
#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4)))))) (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))))
#s(approx (* f (/ (PI) 4)) #s(hole binary64 (* 1/4 (* f (PI)))))
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Calls

3 calls:

Time	Variable		Point	Expression
88.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) 2 (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) f (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (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))))))) (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))))) (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f) (* (/ (PI) (* (PI) 1/2)) 0) (/ (PI) (* (PI) 1/2)) 0 (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))))))) (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))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 (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))))))) (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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f) (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2)) (* 2 (* (pow (PI) 3) 1/192)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2))
77.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) 2 (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) f (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (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))))))) (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))))) (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f) (* (/ (PI) (* (PI) 1/2)) 0) (/ (PI) (* (PI) 1/2)) 0 (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))))))) (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))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 (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))))))) (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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f) (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2)) (* 2 (* (pow (PI) 3) 1/192)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2))
37.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) 2 (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) f (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (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))))))) (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))))) (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f) (* (/ (PI) (* (PI) 1/2)) 0) (/ (PI) (* (PI) 1/2)) 0 (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))))))) (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))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 (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))))))) (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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f) (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2)) (* 2 (* (pow (PI) 3) 1/192)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2))

Time

Variable

Point

Expression

88.0ms

inf

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77.0ms

-inf

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37.0ms

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) 2 (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) f (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (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))))))) (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))))) (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f) (* (/ (PI) (* (PI) 1/2)) 0) (/ (PI) (* (PI) 1/2)) 0 (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))))))) (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))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 (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))))))) (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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f) (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2)) (* 2 (* (pow (PI) 3) 1/192)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2))

rewrite226.0ms (2%)

Memory

20.0MiB live, 256.2MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	10767
0	864	7206
1	4886	6911
0	8403	6873

Stop Event

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

Counts

193 → 428

Calls

Call 1

Inputs
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(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
f
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Outputs
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f
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#s(approx (cosh (* (* (PI) f) -1/4)) #s(literal 1 binary64))
#s(approx (cosh (* (* (PI) f) -1/4)) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* (* (PI) f) -1/4)) (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) f) (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (*.f64 f f)) #s(literal 1 binary64)))
#s(approx (cosh (* (* (PI) f) -1/4)) (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/1536 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal 2 binary64))) f) (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) f) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 f f)) #s(literal 1 binary64)))
#s(approx (* (* (PI) f) -1/4) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
#s(approx (* (PI) f) (*.f64 (PI.f64) f))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) f) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))))) f) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) f) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) f) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))))) f) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))))) f) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))))) f) (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) #s(literal 1/2 binary64))) f) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (* (* (PI) f) 1/4) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))
#s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) (log.f64 (.f64 (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) (.f64 (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* f (/ (PI) 4))) (.f64 (.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (log (* 2 (sinh (* f (/ (PI) 4))))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* 2 (sinh (* f (/ (PI) 4)))) (.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (sinh (* f (/ (PI) 4))) (.f64 (.f64 (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
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#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (.f64 (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
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#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal 1/8 binary64) (PI.f64))) (*.f64 #s(literal 1/24 binary64) (PI.f64))) f))
#s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))
#s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal 1/8 binary64) (PI.f64))) (.f64 #s(literal 1/24 binary64) (PI.f64))) (.f64 f f)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))

eval122.0ms (1.1%)

Memory

-41.8MiB live, 193.6MiB allocated; 23ms collecting garbage

Samples

22.0ms

512×

valid

Compiler

Compiled 37 107 to 3 674 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (63.6% of total)

ival-div: 3.0ms (27.3% of total)

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

adjust: 0.0ms (0% of total)

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

prune60.0ms (0.5%)

Memory

2.3MiB live, 98.3MiB allocated; 10ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	554	20	574
Fresh	7	0	7
Picked	5	0	5
Done	0	0	0
Total	566	20	586

Accuracy

98.1%

Counts

586 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64)))))))))
	8.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64))))))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
	1.6%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
▶	53.4%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))))
	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64))) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.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)))) f) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) f) (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.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))) f) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))))
	76.8%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 0 binary64) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	81.0%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	95.3%	#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)))))))) (/.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
	95.2%	#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 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
	95.3%	#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)))))))) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f)))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.3%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
▶	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
	95.7%	#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)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))

Samples

19.0ms

512×

valid

Compiler

Compiled 3 126 to 1 526 computations (51.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (62.9% of total)

ival-div: 3.0ms (31.5% of total)

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

adjust: 0.0ms (0% of total)

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

series662.0ms (5.8%)

Memory

-134.6MiB live, 297.8MiB allocated; 867ms collecting garbage

Counts

72 → 132

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.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) f) #s(literal -1/4 binary64))) (sinh.f64 (.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) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#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 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (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))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))
(neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f))
(.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)
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Calls

3 calls:

Time	Variable		Point	Expression
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120.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (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))))))) (/ 1 (/ (PI) 4)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (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 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4)) (* 1 (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)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f) (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) (* 1/8 (PI)) 1/8 (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* 2 (pow (PI) 3)) 1/192) (* 2 (pow (PI) 3)) (pow (PI) 3) 3 1/192 (* (* (PI) (PI)) 1/4) (* (PI) (PI)) 0)
96.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (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))))))) (/ 1 (/ (PI) 4)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (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 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4)) (* 1 (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)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f) (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) (* 1/8 (PI)) 1/8 (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* 2 (pow (PI) 3)) 1/192) (* 2 (pow (PI) 3)) (pow (PI) 3) 3 1/192 (* (* (PI) (PI)) 1/4) (* (PI) (PI)) 0)

Time

Variable

Point

Expression

436.0ms

inf

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120.0ms

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96.0ms

-inf

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (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))))))) (/ 1 (/ (PI) 4)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (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 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4)) (* 1 (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)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f) (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) (* 1/8 (PI)) 1/8 (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* 2 (pow (PI) 3)) 1/192) (* 2 (pow (PI) 3)) (pow (PI) 3) 3 1/192 (* (* (PI) (PI)) 1/4) (* (PI) (PI)) 0)

rewrite225.0ms (2%)

Memory

6.9MiB live, 234.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	774	13188
0	867	8376
1	4544	8073
0	8500	8011

Stop Event

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

Counts

204 → 456

Calls

Call 1

Inputs
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(log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
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#s(approx (* (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (/ (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) (PI)) #s(hole binary64 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (log (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4)))) #s(hole binary64 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) #s(hole binary64 (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (sinh (* (* (PI) f) 1/4)) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#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(hole 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)))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole 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)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* f (- (* 1/8 (PI)) (* 1/24 (PI))))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* f (- (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))) (* 1/24 (PI))))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) #s(hole binary64 (* 1/12 (* f (PI)))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) #s(hole binary64 (* f (- (* 4 (/ 1 (* (pow f 2) (PI)))) (* -1/12 (PI))))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* -1/12 (* f (PI)))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) #s(hole binary64 (* -1/12 (PI))))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) #s(hole binary64 (* -1 (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI))))))
#s(approx (log (/ 2 f)) #s(hole binary64 (+ (log 2) (log (/ 1 f)))))
#s(approx (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) #s(hole 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)))))
#s(approx (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4)) #s(hole 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)))))
#s(approx (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) #s(hole binary64 (* f (- (* 1/8 (PI)) (* 1/24 (PI))))))
#s(approx (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) #s(hole binary64 (* f (- (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))) (* 1/24 (PI))))))
#s(approx (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) #s(hole binary64 (* (pow f 2) (- (* 1/8 (PI)) (* 1/24 (PI))))))
#s(approx (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) #s(hole binary64 (* (pow f 2) (- (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))) (* 1/24 (PI))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* -1 (* f (- (* -1 (- (* 1/8 (PI)) (* 1/24 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f)) #s(hole binary64 (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* -1 (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI))))))
#s(approx (log (/ 2 f)) #s(hole binary64 (+ (log -2) (log (/ -1 f)))))
#s(approx (/ (+ (/ 2 (* 1/2 (PI))) (* (+ (* (- (* 1/8 (PI)) (/ (* (* 2 (pow (PI) 3)) 1/192) (* (* (PI) (PI)) 1/4))) f) 0) f)) f) #s(hole binary64 (* -1 (* f (- (* -1 (- (* 1/8 (PI)) (* 1/24 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))

Outputs
#s(approx (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 (neg.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (neg.f64 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (neg.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(.f64 (.f64 #s(literal -1/4 binary64) f) (PI.f64))
(.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))
(.f64 #s(literal 1/4 binary64) (neg.f64 (.f64 f (PI.f64))))
(.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(PI.f64)
f
#s(literal -1/4 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (/ (* 1 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4))) (.f64 (/.f64 (log.f64 #s(approx (/ 4 ( (PI) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ 4 ( (PI) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 #s(approx (/ 4 ( (PI) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 #s(approx (/ 4 ( (PI) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 #s(approx (/ 4 (* (PI) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
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(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(.f64 (neg.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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
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eval131.0ms (1.1%)

Memory

32.1MiB live, 170.9MiB allocated; 29ms collecting garbage

Samples

25.0ms

512×

valid

Compiler

Compiled 34 698 to 3 164 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (70.1% of total)

ival-div: 3.0ms (21% of total)

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

adjust: 0.0ms (0% of total)

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

prune80.0ms (0.7%)

Memory

2.4MiB live, 147.5MiB allocated; 27ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	438	16	454
Fresh	9	6	15
Picked	3	2	5
Done	0	0	0
Total	450	24	474

Accuracy

98.1%

Counts

474 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
	53.4%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	8.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64))))))))
	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
	1.6%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	53.4%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f f)) (PI.f64))) f)))))))
▶	53.4%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
▶	81.0%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
	53.4%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	97.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
✓	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64))) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.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)))) f) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) f) (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.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))) f)) f))) (PI.f64)) #s(literal -4 binary64)))
	95.2%	#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 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
	95.3%	#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)))))))) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))))) (PI.f64)) #s(literal -4 binary64)))
	95.5%	#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 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 f)))) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
▶	95.7%	#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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
▶	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
	95.2%	#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) f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	95.6%	#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)))))))) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))

Samples

27.0ms

512×

valid

Compiler

Compiled 3 547 to 1 800 computations (49.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.7% of total)

ival-div: 3.0ms (36.4% of total)

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

adjust: 0.0ms (0% of total)

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

series517.0ms (4.5%)

Memory

13.3MiB live, 717.3MiB allocated; 169ms collecting garbage

Counts

57 → 137

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64))
(-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal -1/4 binary64)
(log.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
#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 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f))))))
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Outputs
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Calls

3 calls:

Time	Variable		Point	Expression
319.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ (/ 4 (PI)) f) (/ 4 (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)))))))) (* (/ 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)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* f (* f (PI)))) (* f (* f (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 (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (log f) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (neg (/ 4 (PI))))
137.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ (/ 4 (PI)) f) (/ 4 (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)))))))) (* (/ 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)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* f (* f (PI)))) (* f (* f (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 (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (log f) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (neg (/ 4 (PI))))
51.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ (/ 4 (PI)) f) (/ 4 (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)))))))) (* (/ 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)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* f (* f (PI)))) (* f (* f (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 (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (log f) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (neg (/ 4 (PI))))

Time

Variable

Point

Expression

319.0ms

-inf

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137.0ms

inf

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ (/ 4 (PI)) f) (/ 4 (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)))))))) (* (/ 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)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* f (* f (PI)))) (* f (* f (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 (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (log f) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (neg (/ 4 (PI))))

51.0ms

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -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 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ (/ 4 (PI)) f) (/ 4 (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)))))))) (* (/ 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)) 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))))) (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg (* (PI) 1/12)) (* (PI) 1/12) 1/12 (/ 4 (* f (* f (PI)))) (* f (* f (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 (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (log f) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (neg (/ 4 (PI))))

rewrite233.0ms (2%)

Memory

-11.9MiB live, 310.3MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	13102
0	958	8380
1	5416	8277
0	8049	8203

Stop Event

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

Counts

194 → 335

Calls

Call 1

Inputs
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(.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal -1/4 binary64)
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(sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
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#s(approx (sinh (* (* 1/4 f) (PI))) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#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(hole 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)))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole 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)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* f (- (* 1/8 (PI)) (* 1/24 (PI))))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* f (- (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))) (* 1/24 (PI))))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) #s(hole binary64 (* 1/12 (* f (PI)))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) #s(hole binary64 (* f (- (* 4 (/ 1 (* (pow f 2) (PI)))) (* -1/12 (PI))))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) #s(hole binary64 (* -1/12 (* f (PI)))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) #s(hole binary64 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) #s(hole binary64 (* -1/12 (PI))))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) #s(hole binary64 (* -1 (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) #s(hole binary64 (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))))
#s(approx (/ (- (log (/ 4 (PI))) (log f)) (PI)) #s(hole binary64 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))))
#s(approx (- (log (/ 4 (PI))) (log f)) #s(hole binary64 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))))
#s(approx (log f) #s(hole binary64 (* -1 (log (/ 1 f)))))
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) #s(hole 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)))))
#s(approx (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) #s(hole binary64 (exp (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))))))
#s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) #s(hole binary64 (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (sinh (* (* (PI) f) 1/4)) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) #s(hole binary64 (* -1 (* f (- (* -1 (- (* 1/8 (PI)) (* 1/24 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) #s(hole binary64 (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) #s(hole binary64 (* -1 (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) #s(hole binary64 (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))))
#s(approx (/ (- (log (/ 4 (PI))) (log f)) (PI)) #s(hole binary64 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))))
#s(approx (- (log (/ 4 (PI))) (log f)) #s(hole binary64 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 f))))))

Outputs
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64))
(-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) f) (PI.f64))
(.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))
(.f64 #s(literal 1/4 binary64) (neg.f64 (.f64 f (PI.f64))))
(.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))
(.f64 f (.f64 #s(literal -1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal -1/4 binary64)
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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#s(approx (cosh (* (* f (PI)) -1/4)) (+.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
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#s(approx (cosh (* (* f (PI)) -1/4)) (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/1536 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal 2 binary64))) f) (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) f) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 f f)) #s(literal 1 binary64)))
#s(approx (* (* f (PI)) -1/4) (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
#s(approx (* f (PI)) (*.f64 f (PI.f64)))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) f) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))))) f) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))))) f) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))))) f) (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) #s(literal 1/2 binary64))) f) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (* (* 1/4 f) (PI)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (PI)) (/.f64 (log.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))) (PI.f64)))
#s(approx (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (log (cosh (* (* f (PI)) -1/4))) (log.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))))
#s(approx (cosh (* (* f (PI)) -1/4)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (log (sinh (* (* 1/4 f) (PI)))) (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (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)))))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 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) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal 1/8 binary64) (PI.f64))) (*.f64 #s(literal 1/24 binary64) (PI.f64))) f))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (.f64 (.f64 f (PI.f64)) #s(literal 1/12 binary64)))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) f))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (.f64 #s(literal -1/12 binary64) (.f64 f (PI.f64))))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (*.f64 #s(literal -1/12 binary64) (PI.f64)))
#s(approx (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (*.f64 #s(literal -1/12 binary64) (PI.f64)))))
#s(approx (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) (*.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (/ 4 (PI))) (log f)) (PI)) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
#s(approx (- (log (/ 4 (PI))) (log f)) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))))
#s(approx (log f) (*.f64 #s(literal 1 binary64) (log.f64 f)))
#s(approx (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (neg (/ 4 (PI)))) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64))))
#s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (cosh (* (* f (PI)) -1/4)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* 1/4 f) (PI))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))
#s(approx (neg (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f)) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) f))
#s(approx (* (- (neg (* (PI) 1/12)) (/ 4 (* f (* f (PI))))) f) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64))) (.f64 #s(literal -1/12 binary64) (PI.f64))) f)))
#s(approx (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (/ 4 (PI))) (log f)) (PI)) (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64)))
#s(approx (- (log (/ 4 (PI))) (log f)) (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))
#s(approx (log f) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64))))

eval149.0ms (1.3%)

Memory

-23.8MiB live, 153.4MiB allocated; 58ms collecting garbage

Samples

63.0ms

768×

valid

Compiler

Compiled 25 470 to 2 047 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (55.2% of total)

ival-div: 5.0ms (39.4% of total)

ival-true: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

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

prune90.0ms (0.8%)

Memory

2.1MiB live, 189.1MiB allocated; 21ms collecting garbage

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	328	8	336
Fresh	4	13	17
Picked	2	3	5
Done	0	2	2
Total	334	26	360

Accuracy

98.1%

Counts

360 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(.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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
	53.4%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	8.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) #s(literal 2 binary64))))))))
	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
	1.6%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	53.4%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
	53.4%	(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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f f)) (PI.f64))) f)))))))
	81.0%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	53.4%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	79.2%	(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
✓	97.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
✓	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64))) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.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)))) f) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) f) (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.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))) f)) f))) (PI.f64)) #s(literal -4 binary64)))
	95.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (PI.f64)) #s(literal -4 binary64)))
	95.3%	#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)))))))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (log.f64 f) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 f) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))) (PI.f64)) #s(literal -4 binary64)))
	95.2%	#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 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
	95.5%	#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 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 f)))) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
✓	95.7%	#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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	95.3%	#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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#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)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal -4 binary64)))
	95.2%	#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) f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
	95.6%	#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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))

Samples

19.0ms

512×

valid

Compiler

Compiled 6 029 to 1 614 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (59.1% of total)

ival-div: 3.0ms (35.5% of total)

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

adjust: 0.0ms (0% of total)

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

regimes82.0ms (0.7%)

Memory

0.1MiB live, 143.2MiB allocated; 16ms collecting garbage

Counts

57 → 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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
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(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64)))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ (cosh ( (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64))) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.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)))) f) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) f) (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.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))) f)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64))) (+.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.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)))) f) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (ratio-of-squares.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) f) (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (.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))) f) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))))

Outputs

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

Calls

6 calls:

16.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms	(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))))))
13.0ms	f
13.0ms	(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))))))))
11.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
97.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.5%	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)))))`
97.5%	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))))))`
97.5%	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)))))))`
97.5%	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))))))))`
97.5%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes82.0ms (0.7%)

Memory

3.4MiB live, 94.3MiB allocated; 10ms collecting garbage

Counts

38 → 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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f f)) (PI.f64))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) 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 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (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)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (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)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (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)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (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))))) #s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))) (neg.f64 (/.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 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 0 binary64) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.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)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 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)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))

Outputs

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

Calls

6 calls:

34.0ms	(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))))))))
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms	f
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
7.0ms	(.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
97.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.1%	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)))))`
97.1%	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))))))`
97.1%	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)))))))`
97.1%	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))))))))`
97.1%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes59.0ms (0.5%)

Memory

8.2MiB live, 101.9MiB allocated; 25ms collecting garbage

Counts

34 → 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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f f)) (PI.f64))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) 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 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (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)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (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)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (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)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (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))))) #s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))) (neg.f64 (/.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 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 0 binary64) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))

Outputs

(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))

Calls

6 calls:

15.0ms	(.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)))))))
13.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms	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))))))
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
96.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.3%	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)))))`
96.3%	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))))))`
96.3%	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)))))))`
96.3%	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))))))))`
96.3%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes47.0ms (0.4%)

Memory

15.7MiB live, 109.2MiB allocated; 5ms collecting garbage

Counts

33 → 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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f f)) (PI.f64))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) 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 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.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)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (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)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (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)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (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)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (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)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (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))))) #s(approx (/ (cosh (* (* (PI) f) -1/4)) (sinh (* (* (PI) f) 1/4))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))) (neg.f64 (/.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 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (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)))))))) (.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (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)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 0 binary64) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))

Outputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))

Calls

6 calls:

8.0ms	f
8.0ms	(*.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)))))
7.0ms	(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))))))))
6.0ms	(.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
96.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes28.0ms (0.3%)

Memory

-22.1MiB live, 43.6MiB allocated; 11ms collecting garbage

Counts

15 → 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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (/ 2 (* (PI) 1/2)) (* (* (/ (PI) (* (PI) 1/2)) 0) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (neg.f64 f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))))))

Outputs

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

Calls

6 calls:

9.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms	f
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
95.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.7%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.3%	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))))))))`
95.3%	1	`f`
95.3%	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)))))`
95.3%	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))))))`
95.3%	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)))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify78.0ms (0.7%)

Memory

-26.1MiB live, 65.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	353
1	270	341
2	698	337
3	3342	336

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))

Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) #s(literal 0 binary64)) f)) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) f)) f))) (/.f64 (neg.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.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 #s(approx (+ (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (- (* (/ (* (PI) (PI)) (PI)) 1/8) (/ (* 2 (* (pow (PI) 3) 1/192)) (pow (* (PI) 1/2) 2))) f)) f) (/ 2 (* (PI) 1/2))) (+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 #s(approx (- (log (cosh ( (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (neg.f64 (log.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)))) (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)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))

derivations222.0ms (1.9%)

Memory

26.7MiB live, 212.8MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 358 to 141 computations (60.6% saved)

preprocess45.0ms (0.4%)

Memory: -7.6MiB live, 89.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 790 to 314 computations (60.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze266.0ms (2.3%)

sample6.9s (60.5%)

explain321.0ms (2.8%)

preprocess127.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

series186.0ms (1.6%)

rewrite170.0ms (1.5%)

eval62.0ms (0.5%)

prune13.0ms (0.1%)

series211.0ms (1.9%)

rewrite226.0ms (2%)

eval122.0ms (1.1%)

prune60.0ms (0.5%)

series662.0ms (5.8%)

rewrite225.0ms (2%)

eval131.0ms (1.1%)

prune80.0ms (0.7%)

series517.0ms (4.5%)

rewrite233.0ms (2%)

eval149.0ms (1.3%)

prune90.0ms (0.8%)

regimes82.0ms (0.7%)

regimes82.0ms (0.7%)

regimes59.0ms (0.5%)

regimes47.0ms (0.4%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

simplify78.0ms (0.7%)

derivations222.0ms (1.9%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling