Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

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

analyze370.0ms (1.3%)

Memory

-6.0MiB live, 267.9MiB allocated; 94ms 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)

sample13.2s (45.3%)

Memory

158.5MiB live, 7 946.9MiB allocated; 5.6s collecting garbage

Samples

6.1s	7 877×	1	valid
4.6s	7 450×	1	invalid
219.0ms	160×	2	valid
173.0ms	219×	0	valid
1.0ms	4×	0	exit
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 9.6s

ival-exp: 2.2s (22.6% of total)

ival-div: 1.3s (13.6% of total)

ival-add: 1.3s (13.1% of total)

ival-log: 1.2s (12.2% of total)

adjust: 1.1s (11.9% of total)

ival-neg: 820.0ms (8.6% of total)

ival-pi: 678.0ms (7.1% of total)

ival-mult: 660.0ms (6.9% of total)

ival-sub: 345.0ms (3.6% of total)

exact: 34.0ms (0.4% of total)

ival-assert: 11.0ms (0.1% of total)

Bogosity

explain571.0ms (2%)

Memory

9.5MiB live, 431.5MiB allocated; 71ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
249	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))))`
7	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)))))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	7	(3256.178015264372)	-	`(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	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	-	`f`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	249	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	7	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	7
↳	`(+.f64 (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	7
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	7
↳	`(-.f64 (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	7
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	7	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	1	0	0

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	249
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

250.0ms	488×	1	valid
24.0ms	14×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-exp: 51.0ms (24.4% of total)

adjust: 37.0ms (17.7% of total)

ival-div: 31.0ms (14.8% of total)

ival-log: 23.0ms (11% of total)

ival-mult: 20.0ms (9.6% of total)

ival-neg: 17.0ms (8.1% of total)

ival-add: 11.0ms (5.3% of total)

ival-pi: 8.0ms (3.8% of total)

ival-sub: 8.0ms (3.8% of total)

ival-assert: 1.0ms (0.5% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

preprocess382.0ms (1.3%)

Memory

13.3MiB live, 199.1MiB allocated; 67ms 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)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(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

▶

5.8%

(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)

series221.0ms (0.8%)

Memory

2.7MiB live, 144.9MiB allocated; 59ms 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))))))
#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))) (* 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))))))))
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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
110.0ms	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)))))
82.0ms	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)))))
24.0ms	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

110.0ms

-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)))))

82.0ms

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)))))

24.0ms

((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)))))

rewrite515.0ms (1.8%)

Memory

2.3MiB live, 232.9MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	3547
0	328	2177
1	1875	2038
0	8404	1972

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))) (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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))) (fma.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))) (fma.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 (fma.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 (fma.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 (fma.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 (fma.f64 (-.f64 (fma.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 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.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)))))

eval73.0ms (0.3%)

Memory: -9.7MiB live, 36.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 841 to 1 167 computations (88.1% saved)

prune19.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	202	6	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	6	209

Accuracy

97.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(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)))))))))
▶	96.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.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)) f)))))
▶	95.9%	(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))))))
	73.7%	(neg.f64 (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)))))
▶	96.7%	#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 (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)))
▶	96.1%	#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 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 560 to 320 computations (42.9% saved)

series874.0ms (3%)

Memory

-27.1MiB live, 274.7MiB allocated; 257ms collecting garbage

Counts

68 → 133

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

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

494.0ms

-inf

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215.0ms

inf

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

149.0ms

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

rewrite604.0ms (2.1%)

Memory

-0.1MiB live, 380.3MiB allocated; 151ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	13575
0	943	9106
1	5503	9026
0	8074	8675

Stop Event

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

Counts

201 → 431

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

eval332.0ms (1.1%)

Memory: 4.9MiB live, 189.7MiB allocated; 50ms collecting garbage
Compiler: Compiled 37 310 to 3 444 computations (90.8% saved)

prune58.0ms (0.2%)

Memory

-9.4MiB live, 82.4MiB allocated; 13ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	538	14	552
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	544	14	558

Accuracy

97.3%

Counts

558 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(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))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
▶	45.5%	(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)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
	73.1%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	96.7%	#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 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)))
	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 (-.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))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #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)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.7%	#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 (log.f64 #s(approx (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))))))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 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)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) f (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))
▶	96.1%	#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 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.1%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #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)))
▶	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))

Compiler

Compiled 2 314 to 1 114 computations (51.9% saved)

series849.0ms (2.9%)

Memory

-1.9MiB live, 479.9MiB allocated; 175ms collecting garbage

Counts

115 → 124

Calls

Call 1

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

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 (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
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Calls

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

327.0ms

-inf

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rewrite794.0ms (2.7%)

Memory

40.3MiB live, 420.2MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	22304
0	998	14839
1	5255	13744
0	8721	13445

Stop Event

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

Counts

239 → 791

Calls

Call 1

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

eval2.0s (6.8%)

Memory: -7.6MiB live, 1 610.2MiB allocated; 524ms collecting garbage
Compiler: Compiled 550 687 to 20 395 computations (96.3% saved)

prune273.0ms (0.9%)

Memory

-15.8MiB live, 414.8MiB allocated; 57ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 939	17	1 956
Fresh	1	8	9
Picked	3	2	5
Done	0	0	0
Total	1 943	27	1 970

Accuracy

97.3%

Counts

1 970 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(.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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))))))
	95.9%	(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))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
	73.1%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	96.7%	#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 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)))
	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) #s(literal 2 binary64))) (-.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)))
	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 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64))) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) f) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64))))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
	96.7%	#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 (log.f64 #s(approx (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))))))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 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)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) f (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))
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	96.7%	#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 (log.f64 #s(approx (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))))))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 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)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) f (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))
	96.1%	#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 #s(approx (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 #s(approx (+ (* (- (+ (* (- (/ (neg (+ (* (* (* -1/32 (* (PI) (PI))) (PI)) 1/4) (* 1/128 (pow (PI) 3)))) (* 1/2 (PI))) (+ (* (* (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (pow (PI) 3) 1/8))) -2) (+ (* (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (/ (- (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI))) (+ (* (/ (pow (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) 2) (* (pow (PI) 3) 1/8)) -2) (* (/ (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (pow (* 1/2 (PI)) 2)) 2))) (* 1/2 (PI)))) (* (/ (- (* (pow (PI) 4) 1/6144) (+ (* (* (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192)) (PI)) -1/4) (+ (* (pow (PI) 4) 1/2048) (* (* -1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI))))))) (pow (* 1/2 (PI)) 2)) 2)))) f) (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI)))) (+ (* (/ (pow (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) 2) (* (pow (PI) 3) 1/8)) -2) (* (/ (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (pow (* 1/2 (PI)) 2)) 2))) f) (* -2 (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (pow (* 1/2 (PI)) 2)))) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2048 binary64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (.f64 f f))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))
	1.1%	#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 #s(approx (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) #s(approx (/ (+ (* (+ (* (- (+ (* (- (/ (neg (+ (* (* (* -1/32 (* (PI) (PI))) (PI)) 1/4) (* 1/128 (pow (PI) 3)))) (* 1/2 (PI))) (+ (* (* (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (pow (PI) 3) 1/8))) -2) (+ (* (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (/ (- (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI))) (+ (* (/ (pow (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) 2) (* (pow (PI) 3) 1/8)) -2) (* (/ (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (pow (* 1/2 (PI)) 2)) 2))) (* 1/2 (PI)))) (* (/ (- (* (pow (PI) 4) 1/6144) (+ (* (* (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192)) (PI)) -1/4) (+ (* (pow (PI) 4) 1/2048) (* (* -1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI))))))) (pow (* 1/2 (PI)) 2)) 2)))) f) (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI)))) (+ (* (/ (pow (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) 2) (* (pow (PI) 3) 1/8)) -2) (* (/ (- (* (pow (PI) 3) 1/384) (+ (* (* (* 1/32 (* (PI) (PI))) (PI)) -1/4) (* (pow (PI) 3) 1/192))) (pow (* 1/2 (PI)) 2)) 2))) f) (* -2 (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (pow (* 1/2 (PI)) 2)))) f) (/ 2 (* 1/2 (PI)))) f) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2048 binary64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (.f64 f f))))) (PI.f64)) #s(literal -4 binary64)))
✓	96.1%	#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 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.1%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (fma.f64 (log.f64 f) (PI.f64) (log.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 1/2 binary64))) (PI.f64))) #s(literal -4 binary64)))
✓	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #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)))
	95.7%	#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 #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) #s(literal -4 binary64)))
▶	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.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)))

Compiler

Compiled 8 273 to 3 090 computations (62.6% saved)

series676.0ms (2.3%)

Memory

14.8MiB live, 536.7MiB allocated; 110ms collecting garbage

Counts

133 → 132

Calls

Call 1

Inputs
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Outputs
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Calls

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

346.0ms

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128.0ms

-inf

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rewrite713.0ms (2.4%)

Memory

37.3MiB live, 640.8MiB allocated; 99ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	854	34128
0	1064	23784
1	5446	23739
0	8112	23276

Stop Event

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

Counts

265 → 979

Calls

Call 1

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

eval4.0s (13.8%)

Memory: -91.4MiB live, 2 488.8MiB allocated; 2.7s collecting garbage
Compiler: Compiled 937 687 to 31 534 computations (96.6% saved)

prune479.0ms (1.6%)

Memory

11.8MiB live, 582.1MiB allocated; 82ms collecting garbage

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 968	15	2 983
Fresh	7	13	20
Picked	4	1	5
Done	0	2	2
Total	2 979	31	3 010

Accuracy

97.3%

Counts

3 010 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(.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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))))))
	1.6%	(.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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
	95.9%	(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))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
	73.1%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	1.4%	(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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	96.7%	#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 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)))
	96.1%	#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 #s(literal -4 binary64) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)))
	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) #s(literal 2 binary64))) (-.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)))
	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 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64))) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) f) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64))))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
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✓	96.1%	#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 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (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 #s(literal 2 binary64)) (PI.f64)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 f) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 (.f64 (log.f64 f) (PI.f64)) (.f64 (log.f64 f) (PI.f64))) (.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (log.f64 f) (PI.f64)))))) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 1/2 binary64))) (PI.f64))) #s(literal -4 binary64)))
✓	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #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)))
	95.7%	#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 #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) #s(literal -4 binary64)))
✓	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.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)))

Compiler

Compiled 13 440 to 2 695 computations (79.9% saved)

regimes115.0ms (0.4%)

Memory

24.9MiB live, 119.1MiB allocated; 10ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

Calls

6 calls:

22.0ms	f
18.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
17.0ms	(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))))))
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)))))))
15.0ms	(/.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
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes113.0ms (0.4%)

Memory

-33.3MiB live, 108.5MiB allocated; 18ms collecting garbage

Counts

48 → 1

Calls

Call 1

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

Calls

6 calls:

17.0ms	(/.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)))))
17.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
17.0ms	f
17.0ms	(.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)))))))
16.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes103.0ms (0.4%)

Memory

9.3MiB live, 102.4MiB allocated; 6ms collecting garbage

Counts

47 → 1

Calls

Call 1

Inputs
(.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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 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 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
(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)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) 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))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #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))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (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 #s(literal -4 binary64) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (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 (.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64))))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
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#s(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 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/128 binary64) (exp.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))))))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 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)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) f (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (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 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 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)))) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))) f (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))

Calls

6 calls:

21.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
16.0ms	f
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	(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 (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
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes95.0ms (0.3%)

Memory

-3.4MiB live, 91.7MiB allocated; 13ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Calls

6 calls:

19.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms	f
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	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
12.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	1	`f`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes91.0ms (0.3%)

Memory

-1.5MiB live, 91.5MiB allocated; 9ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Calls

6 calls:

17.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms	f
14.0ms	(.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)))))))
14.0ms	(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))))))))
12.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes87.0ms (0.3%)

Memory

40.5MiB live, 87.0MiB allocated; 3ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Calls

6 calls:

15.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms	f
14.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
13.0ms	(.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)))))))
12.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	1	`f`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes92.0ms (0.3%)

Memory

-14.9MiB live, 82.5MiB allocated; 22ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

Calls

6 calls:

14.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
14.0ms	f
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
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
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes80.0ms (0.3%)

Memory

-13.3MiB live, 80.0MiB allocated; 8ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.7%	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)))))`
96.7%	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))))))`
96.7%	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)))))))`
96.7%	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))))))))`
96.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes51.0ms (0.2%)

Memory

-0.8MiB live, 47.8MiB allocated; 8ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Calls

6 calls:

11.0ms	(/.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)))))
8.0ms	f
8.0ms	(*.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)))))))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
96.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.1%	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)))))`
96.1%	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))))))`
96.1%	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)))))))`
96.1%	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))))))))`
96.1%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes28.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.1%	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))))))))`
96.1%	1	`f`
96.1%	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)))))`
96.1%	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))))))`
96.1%	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)))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes13.0ms (0%)

Memory

-31.4MiB live, 15.6MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

6 calls:

3.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
2.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms	f
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	(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
1.6%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
1.6%	1	`f`
1.6%	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)))))`
1.6%	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))))))`
1.6%	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)))))))`
1.6%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify148.0ms (0.5%)

Memory

28.8MiB live, 75.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	2473
1	501	2155
2	1097	2137
3	4413	2137

Stop Event

1×	node limit

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

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

derivations912.0ms (3.1%)

Memory

-33.4MiB live, 451.1MiB allocated; 169ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 199 to 308 computations (86% saved)

preprocess178.0ms (0.6%)

Memory: -2.7MiB live, 187.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 4 472 to 648 computations (85.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze370.0ms (1.3%)

sample13.2s (45.3%)

explain571.0ms (2%)

preprocess382.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series221.0ms (0.8%)

rewrite515.0ms (1.8%)

eval73.0ms (0.3%)

prune19.0ms (0.1%)

series874.0ms (3%)

rewrite604.0ms (2.1%)

eval332.0ms (1.1%)

prune58.0ms (0.2%)

series849.0ms (2.9%)

rewrite794.0ms (2.7%)

eval2.0s (6.8%)

prune273.0ms (0.9%)

series676.0ms (2.3%)

rewrite713.0ms (2.4%)

eval4.0s (13.8%)

prune479.0ms (1.6%)

regimes115.0ms (0.4%)

regimes113.0ms (0.4%)

regimes103.0ms (0.4%)

regimes95.0ms (0.3%)

regimes91.0ms (0.3%)

regimes87.0ms (0.3%)

regimes92.0ms (0.3%)

regimes80.0ms (0.3%)

regimes51.0ms (0.2%)

regimes28.0ms (0.1%)

regimes13.0ms (0%)

simplify148.0ms (0.5%)

derivations912.0ms (3.1%)

preprocess178.0ms (0.6%)

end0.0ms (0%)

Profiling