Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze253.0ms (2.2%)

Memory

9.4MiB live, 348.4MiB allocated; 84ms 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)

sample7.1s (61.2%)

Memory

64.5MiB live, 7 614.3MiB allocated; 2.7s collecting garbage

Samples

3.1s	7 585×	1	invalid
2.7s	7 858×	1	valid
225.0ms	208×	2	valid
29.0ms	190×	0	valid
0.0ms	3×	0	invalid
0.0ms	2×	0	exit

Precisions

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

ival-exp: 1.3s (28.2% of total)

adjust: 733.0ms (15.9% of total)

ival-div: 636.0ms (13.8% of total)

ival-mult: 603.0ms (13.1% of total)

ival-log: 407.0ms (8.8% of total)

ival-neg: 365.0ms (7.9% of total)

ival-add: 222.0ms (4.8% of total)

ival-pi: 169.0ms (3.7% of total)

ival-sub: 151.0ms (3.3% of total)

exact: 22.0ms (0.5% of total)

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

Bogosity

explain366.0ms (3.2%)

Memory

-7.3MiB live, 560.1MiB allocated; 88ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
243	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))))`
3	0	-	1	(105.50792986595336)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
3	0	-	1	(105.50792986595336)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
2	0	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
2	4	(4315342.720269956)	0	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	0	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	0	-	`f`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	243	1
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	6	1
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	sensitivity	2	2
`/.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	2	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	2
↳	`(+.f64 (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	2
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	2
↳	`(-.f64 (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	2
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`	sensitivity	2	2

Confusion

	Predicted +	Predicted -
+	247	1
-	2	6

Precision

0.9919678714859438

Recall

0.9959677419354839

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	1	0
-	2	1	5

Precision?

0.9880478087649402

Recall?

1.0

Freqs

test

number	freq
0	7
1	245
2	2
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

161.0ms	488×	1	valid
7.0ms	8×	2	valid
2.0ms	16×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-exp: 34.0ms (26.6% of total)

adjust: 19.0ms (14.9% of total)

ival-div: 18.0ms (14.1% of total)

ival-log: 13.0ms (10.2% of total)

ival-mult: 12.0ms (9.4% of total)

ival-sub: 9.0ms (7% of total)

ival-neg: 8.0ms (6.3% of total)

ival-add: 8.0ms (6.3% of total)

ival-pi: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess157.0ms (1.4%)

Memory

30.3MiB live, 162.7MiB allocated; 30ms 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 (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)))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

9.1%

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

series115.0ms (1%)

Memory

-0.3MiB live, 147.0MiB allocated; 25ms 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 (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))

Calls

3 calls:

Time	Variable		Point	Expression
45.0ms	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)))))
40.0ms	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)))))
28.0ms	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

45.0ms

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)))))

40.0ms

-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)))))

28.0ms

((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)))))

rewrite202.0ms (1.7%)

Memory

-31.9MiB live, 266.3MiB allocated; 64ms 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 (.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 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))))))) (*.f64 (/.f64 #s(literal 1 binary64) (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)))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 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)))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 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))))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (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 (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)))))) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #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 (exp.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)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.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 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (.f64 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 (exp.f64 (.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 (exp.f64 (.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 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (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 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (.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 (exp.f64 (.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 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (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 (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.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 (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.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 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.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 (exp.f64 (*.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 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (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)))))
(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 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 (.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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(/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.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))))))
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(-.f64 (/.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (.f64 (.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)))))))
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#s(approx (neg (* (/ (PI) 4) f)) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
#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 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (.f64 (.f64 f f) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.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 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64) (.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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/122880 binary64))) (.f64 f f))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.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)) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.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) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval33.0ms (0.3%)

Memory: 13.8MiB live, 59.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 947 to 1 166 computations (88.3% saved)

prune18.0ms (0.2%)

Memory

-6.3MiB live, 41.3MiB allocated; 1ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	193	15	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	15	209

Accuracy

98.2%

Counts

209 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 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)))))))))
	97.8%	(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)))))))))
	9.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	8.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.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))))))))))
	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
▶	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	97.8%	(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)) (neg.f64 f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.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))))))))))
▶	95.6%	(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))))) (/.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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	9.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 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))))))))
	77.2%	(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 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
▶	97.8%	#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 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 1 272 to 692 computations (45.6% saved)

series176.0ms (1.5%)

Memory

37.2MiB live, 267.8MiB allocated; 20ms collecting garbage

Counts

73 → 140

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 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(/.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 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(+.f64 (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)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)
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(/.f64 #s(literal 2 binary64) (PI.f64))
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(/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
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(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
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(/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
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(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
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(sqrt.f64 (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)))))
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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)))))))) #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))))))
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#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)))))
#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))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (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))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#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))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (/ (+ (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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54.0ms	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)))))))) (* (/ (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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4))) -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) (PI)) 1/192 (* (* (PI) (PI)) 1/4) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)))
32.0ms	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)))))))) (* (/ (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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4))) -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) (PI)) 1/192 (* (* (PI) (PI)) 1/4) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)))

Time

Variable

Point

Expression

79.0ms

inf

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54.0ms

-inf

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32.0ms

((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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4))) -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)) (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) (PI)) 1/192 (* (* (PI) (PI)) 1/4) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)))

rewrite256.0ms (2.2%)

Memory

-27.4MiB live, 254.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	13609
0	876	8337
1	4722	7794
0	8275	7505

Stop Event

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

Counts

213 → 501

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))
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(.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)
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f
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Outputs
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#s(approx (* (PI) f) (*.f64 f (PI.f64)))
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#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))) f) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) f) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 0 binary64) (fma.f64 (.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)))) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))) f (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(literal 0 binary64) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64))) f)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) f (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(approx (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (.f64 (.f64 f f) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) f))
#s(approx (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) 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 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64) (.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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/122880 binary64))) (.f64 f f))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) #s(literal 1 binary64))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) f (.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)) -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 (log.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (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 (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) 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 (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))))) (.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))))) (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 (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) 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 (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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)))

eval147.0ms (1.3%)

Memory: -6.6MiB live, 227.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 49 852 to 4 662 computations (90.6% saved)

prune71.0ms (0.6%)

Memory

12.5MiB live, 158.3MiB allocated; 9ms collecting garbage

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	758	26	784
Fresh	8	2	10
Picked	5	0	5
Done	0	0	0
Total	771	28	799

Accuracy

98.4%

Counts

799 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	95.2%	(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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 #s(approx (- (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
	9.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	4.8%	(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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) #s(approx (exp (neg ( (/ (PI) 4) f))) #s(literal 1 binary64)))))))
	95.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	95.6%	(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))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
▶	1.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
	95.6%	(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))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) f))))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
	49.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	97.7%	(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 (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) 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))))))))
	94.8%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	72.7%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	77.2%	(log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	97.8%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	95.0%	#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 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
▶	97.8%	#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 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
	97.8%	#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 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	95.1%	#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 (-.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)))
	8.4%	#s(approx (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 (-.f64 (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 (pow.f64 (exp.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)))
▶	97.9%	#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 (log.f64 (+.f64 (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	95.1%	#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 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))

Compiler

Compiled 3 382 to 1 910 computations (43.5% saved)

series425.0ms (3.7%)

Memory

-12.7MiB live, 525.3MiB allocated; 147ms collecting garbage

Counts

53 → 151

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

3 calls:

Time	Variable		Point	Expression
198.0ms	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)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (* (sinh (* (* f (PI)) 1/4)) 2) (sinh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) 1/4 2 (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (* (* (PI) 1/12) (* f f)) (* (PI) 1/12) 1/12 (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) -4) (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (log (* (sinh (* (* f (PI)) 1/4)) 2)))
160.0ms	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)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (* (sinh (* (* f (PI)) 1/4)) 2) (sinh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) 1/4 2 (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (* (* (PI) 1/12) (* f f)) (* (PI) 1/12) 1/12 (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) -4) (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (log (* (sinh (* (* f (PI)) 1/4)) 2)))
41.0ms	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)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (* (sinh (* (* f (PI)) 1/4)) 2) (sinh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) 1/4 2 (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (* (* (PI) 1/12) (* f f)) (* (PI) 1/12) 1/12 (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) -4) (/ (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (PI)) (- (log (* (cosh (* (* f (PI)) 1/4)) 2)) (log (* (sinh (* (* f (PI)) 1/4)) 2))) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (log (* (sinh (* (* f (PI)) 1/4)) 2)))

Time

Variable

Point

Expression

198.0ms

inf

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160.0ms

-inf

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41.0ms

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rewrite286.0ms (2.5%)

Memory

46.2MiB live, 369.5MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1026	23546
0	1106	15726
1	6890	15476
0	8521	14866

Stop Event

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

Counts

204 → 343

Calls

Call 1

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

eval87.0ms (0.7%)

Memory: -28.8MiB live, 163.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 48 006 to 2 796 computations (94.2% saved)

prune75.0ms (0.6%)

Memory

8.2MiB live, 114.0MiB allocated; 26ms collecting garbage

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	478	8	486
Fresh	5	18	23
Picked	1	4	5
Done	0	0	0
Total	484	30	514

Accuracy

98.5%

Counts

514 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	1.2%	(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
	95.2%	(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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 #s(approx (- (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	4.8%	(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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) #s(approx (exp (neg ( (/ (PI) 4) f))) #s(literal 1 binary64)))))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	95.6%	(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))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
	1.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (exp.f64 (*.f64 (log.f64 f) #s(literal 2 binary64))))) f)))))
	95.6%	(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))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) f))))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
	49.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	94.8%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	72.7%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	77.2%	(log.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	97.8%	#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 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	97.8%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) f)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
	27.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -4 binary64))) (PI.f64)))
	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	95.0%	#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 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
✓	97.8%	#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 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
	95.1%	#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 (-.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)))
	8.4%	#s(approx (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 (-.f64 (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
✓	97.9%	#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 (log.f64 (+.f64 (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
▶	94.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
✓	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	97.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64))) #s(literal -4 binary64)))
▶	95.1%	#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 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
▶	97.7%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 3 503 to 1 970 computations (43.8% saved)

series470.0ms (4.1%)

Memory

7.5MiB live, 517.6MiB allocated; 84ms collecting garbage

Counts

54 → 136

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 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
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(*.f64 f (PI.f64))
f
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(log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
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Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
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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)))))))) #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))))))
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#s(approx (/ (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) #s(hole binary64 (+ (* -4 (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))
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#s(approx (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) #s(hole binary64 (* 4 (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) #s(hole binary64 (+ (* -4 (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
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Calls

3 calls:

Time	Variable		Point	Expression
266.0ms	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)))))))) (/ (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 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)))))))) (* (/ 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) -4) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (/ (neg (log f)) (PI)) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ -4 (PI))) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/ -4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ 1 (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))
152.0ms	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)))))))) (/ (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 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)))))))) (* (/ 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) -4) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (/ (neg (log f)) (PI)) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ -4 (PI))) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/ -4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ 1 (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))
38.0ms	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)))))))) (/ (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) -4) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 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)))))))) (* (/ 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) -4) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (/ (neg (log f)) (PI))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (/ (neg (log f)) (PI)) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ -4 (PI))) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/ -4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) -4) (/ (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (PI)) (log (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)))) (+ (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))) (/ (exp (* (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/ 1 (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2))

Time

Variable

Point

Expression

266.0ms

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

152.0ms

inf

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38.0ms

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rewrite314.0ms (2.7%)

Memory

-6.7MiB live, 276.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1002	22242
0	1076	14635
1	6705	14455
0	8275	13893

Stop Event

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

Counts

190 → 354

Calls

Call 1

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

eval87.0ms (0.8%)

Memory: 2.1MiB live, 100.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 43 412 to 2 474 computations (94.3% saved)

prune112.0ms (1%)

Memory

4.9MiB live, 142.6MiB allocated; 8ms collecting garbage

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	429	16	445
Fresh	6	15	21
Picked	3	2	5
Done	1	3	4
Total	439	36	475

Accuracy

98.5%

Counts

475 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
	95.7%	(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
	1.2%	(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
	8.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	4.8%	(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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) #s(approx (exp (neg ( (/ (PI) 4) f))) #s(literal 1 binary64)))))))
	95.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	95.6%	(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))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
	1.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (exp.f64 (*.f64 (log.f64 f) #s(literal 2 binary64))))) f)))))
	95.6%	(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))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -1/24 binary64) (PI.f64))) f))))))
	49.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (PI.f64) (.f64 #s(literal 1/12 binary64) f)))))))
	94.8%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	97.9%	#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 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 #s(literal 2 binary64))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	97.8%	#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 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
	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 #s(approx (log (cosh ( (* f (PI)) 1/4))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	97.8%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
	95.1%	#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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
	95.1%	#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 (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64) (.f64 (PI.f64) (neg.f64 (log.f64 f)))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.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)))
	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	95.0%	#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 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
✓	97.8%	#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 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
	95.1%	#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 (-.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)))
	8.4%	#s(approx (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 (-.f64 (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	94.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 f (PI.f64))) (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	94.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 (exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (.f64 f (PI.f64)))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	94.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(approx (/ (exp (* (* f (PI)) 1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.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 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) f) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))) (PI.f64)) #s(literal -4 binary64)))
	94.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) #s(approx (/ 1 (* (* 1/2 (PI)) f)) (/.f64 #s(literal 2 binary64) (.f64 f (PI.f64))))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
✓	95.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	97.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64))) #s(literal -4 binary64)))
	95.1%	#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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
✓	97.7%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	97.0%	#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 (log.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) f)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	95.1%	#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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	77.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))))

Compiler

Compiled 6 459 to 1 897 computations (70.6% saved)

regimes121.0ms (1%)

Memory

21.5MiB live, 167.7MiB allocated; 11ms collecting garbage

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 #s(literal 2 binary64) (.f64 (.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 (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (PI.f64) (.f64 #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) 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))))))
#s(approx (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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -1/24 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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (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 (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64) (.f64 (PI.f64) (neg.f64 (log.f64 f)))) (*.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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (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))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (.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) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
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(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(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)) (neg.f64 f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.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))))))))))
(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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(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 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.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 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.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))))))))))

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

Calls

6 calls:

27.0ms	(/.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)))))
23.0ms	f
16.0ms	(*.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 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
97.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
97.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
97.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
97.9%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes75.0ms (0.6%)

Memory

-4.4MiB live, 96.7MiB allocated; 4ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 #s(literal 2 binary64) (.f64 (.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 (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (PI.f64) (.f64 #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) 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))))))
#s(approx (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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -1/24 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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (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 (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64) (.f64 (PI.f64) (neg.f64 (log.f64 f)))) (*.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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (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))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (.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) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (exp.f64 (*.f64 (log.f64 f) #s(literal 2 binary64))))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (-.f64 #s(approx (log (cosh ( (* f (PI)) 1/4))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(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 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (log.f64 #s(approx (- (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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 (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) 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 (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 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (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 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #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 (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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 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)))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 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 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) #s(approx (/ 1 (* (* 1/2 (PI)) f)) (/.f64 #s(literal 2 binary64) (.f64 f (PI.f64))))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.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 (log.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -4 binary64))) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 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 (+.f64 #s(approx (/ (exp ( (* f (PI)) -1/4)) (* (sinh (* (* f (PI)) 1/4)) 2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))))))))

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

Calls

6 calls:

17.0ms	(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))))))))
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)))))
11.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms	f
8.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.8%	1	`f`
97.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
97.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
97.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
97.8%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes46.0ms (0.4%)

Memory

-36.6MiB live, 56.8MiB allocated; 3ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 #s(literal 2 binary64) (.f64 (.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 (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (PI.f64) (.f64 #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) 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))))))
#s(approx (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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -1/24 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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (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 (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64) (.f64 (PI.f64) (neg.f64 (log.f64 f)))) (*.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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (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))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (.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) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (exp.f64 (*.f64 (log.f64 f) #s(literal 2 binary64))))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (-.f64 #s(approx (log (cosh ( (* f (PI)) 1/4))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 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)))))))) (*.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))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Calls

6 calls:

13.0ms	f
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
5.0ms	(/.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)))))
5.0ms	(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
97.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
97.7%	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)))))`
97.7%	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))))))`
97.7%	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)))))))`
97.7%	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))))))))`
97.7%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes38.0ms (0.3%)

Memory

23.2MiB live, 69.2MiB allocated; 3ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 #s(literal 2 binary64) (.f64 (.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 (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (PI.f64) (.f64 #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 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))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(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(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) 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))))))
#s(approx (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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -1/24 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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (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 (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64) (.f64 (PI.f64) (neg.f64 (log.f64 f)))) (*.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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (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))) (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 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) 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 (.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) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (exp.f64 (*.f64 (log.f64 f) #s(literal 2 binary64))))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (-.f64 #s(approx (log (cosh ( (* f (PI)) 1/4))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f) f))))))

Outputs

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes38.0ms (0.3%)

Memory

15.3MiB live, 67.2MiB allocated; 15ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

12.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
5.0ms	f
5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
95.6%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.6%	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)))))`
95.6%	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))))))`
95.6%	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)))))))`
95.6%	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))))))))`
95.6%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes35.0ms (0.3%)

Memory

-32.9MiB live, 58.8MiB allocated; 9ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	f
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
95.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes21.0ms (0.2%)

Memory

0.9MiB live, 47.4MiB allocated; 3ms collecting garbage

Accuracy

Total -60.2b remaining (-1938.9%)

Threshold costs -60.2b (-1938.9%)

Counts

11 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
95.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.2%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify59.0ms (0.5%)

Memory

15.9MiB live, 64.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	423
1	235	404
2	731	393
3	4219	392

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 (-.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 #s(literal 2 binary64))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (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)))

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 (-.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 #s(literal 2 binary64))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 (neg.f64 (PI.f64)) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 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) #s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (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)))

derivations304.0ms (2.6%)

Memory

28.7MiB live, 454.8MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 428 to 121 computations (71.7% saved)

preprocess103.0ms (0.9%)

Memory: -42.2MiB live, 159.8MiB allocated; 95ms collecting garbage
Compiler: Compiled 930 to 274 computations (70.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze253.0ms (2.2%)

sample7.1s (61.2%)

explain366.0ms (3.2%)

preprocess157.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series115.0ms (1%)

rewrite202.0ms (1.7%)

eval33.0ms (0.3%)

prune18.0ms (0.2%)

series176.0ms (1.5%)

rewrite256.0ms (2.2%)

eval147.0ms (1.3%)

prune71.0ms (0.6%)

series425.0ms (3.7%)

rewrite286.0ms (2.5%)

eval87.0ms (0.7%)

prune75.0ms (0.6%)

series470.0ms (4.1%)

rewrite314.0ms (2.7%)

eval87.0ms (0.8%)

prune112.0ms (1%)

regimes121.0ms (1%)

regimes75.0ms (0.6%)

regimes46.0ms (0.4%)

regimes38.0ms (0.3%)

regimes38.0ms (0.3%)

regimes35.0ms (0.3%)

regimes21.0ms (0.2%)

simplify59.0ms (0.5%)

derivations304.0ms (2.6%)

preprocess103.0ms (0.9%)

end0.0ms (0%)

Profiling