Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

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

analyze158.0ms (1.4%)

Memory

1.7MiB live, 333.6MiB allocated; 22ms 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%	2.5%	46.4%	0%	0%	51%	0%	11
5.3%	2.6%	46.2%	0%	0%	51.1%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.8s (62.1%)

Memory

152.6MiB live, 7 751.7MiB allocated; 2.5s collecting garbage

Samples

3.0s	7 523×	1	invalid
2.5s	8 013×	1	valid
366.0ms	205×	5	exit
23.0ms	243×	0	valid
1.0ms	12×	0	invalid
0.0ms	7×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 5.1s

ival-exp: 2.6s (51.6% of total)

ival-sub!: 586.0ms (11.6% of total)

ival-log: 455.0ms (9% of total)

adjust: 452.0ms (8.9% of total)

ival-mult!: 368.0ms (7.3% of total)

ival-neg: 319.0ms (6.3% of total)

ival-div!: 153.0ms (3% of total)

ival-add!: 115.0ms (2.3% of total)

Bogosity

explain311.0ms (2.9%)

Memory

-48.2MiB live, 403.7MiB allocated; 79ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (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	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
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	-	-	`#s(literal 1 binary64)`
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	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	-	-	`#s(literal 4 binary64)`
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	-	-	`(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	-	-	`f`
0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
0	-	-	`(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	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

168.0ms	502×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-log: 64.0ms (45.4% of total)

ival-exp: 35.0ms (24.9% of total)

ival-mult!: 13.0ms (9.2% of total)

adjust: 12.0ms (8.5% of total)

ival-neg: 8.0ms (5.7% of total)

ival-div!: 4.0ms (2.8% of total)

ival-add!: 2.0ms (1.4% of total)

ival-sub!: 2.0ms (1.4% of total)

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

preprocess408.0ms (3.7%)

Memory

50.0MiB live, 328.3MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	118
1	88	96
2	288	96
3	827	91
4	5380	83
0	16	37
0	29	37
1	61	32
2	160	32
3	504	32
4	2487	22
0	8486	22

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.9%

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

series180.0ms (1.6%)

Memory

-23.8MiB live, 158.3MiB allocated; 94ms 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))))))))
#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 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))))
#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 (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
#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 (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
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#s(approx (/ (+ (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)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
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#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
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#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 1))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* -1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* 1/32 (* f (pow (PI) 2))))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* f (+ (* -1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (neg (* (/ (PI) 4) f)) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (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 (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (* (/ 1 (/ (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 (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#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
63.0ms	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)))))
62.0ms	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)))))
52.0ms	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)))))

Time

Variable

Point

Expression

63.0ms

-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)))))

62.0ms

((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)))))

52.0ms

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)))))

rewrite221.0ms (2%)

Memory

9.7MiB live, 255.3MiB allocated; 60ms 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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(.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))))
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Outputs
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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))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (PI.f64)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval69.0ms (0.6%)

Memory: 2.5MiB live, 47.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 841 to 1 167 computations (88.1% saved)

prune8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	203	5	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	204	5	209

Accuracy

99.8%

Counts

209 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
▶	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
▶	78.3%	(neg.f64 (log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶	99.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (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)))
▶	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 408 to 234 computations (42.6% saved)

series529.0ms (4.8%)

Memory

6.3MiB live, 599.6MiB allocated; 97ms collecting garbage

Counts

51 → 146

Calls

Call 1

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

Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
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#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))

Calls

3 calls:

Time	Variable		Point	Expression
238.0ms	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))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)
212.0ms	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))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)
64.0ms	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))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)

Time

Variable

Point

Expression

238.0ms

-inf

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

212.0ms

inf

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

64.0ms

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

rewrite310.0ms (2.8%)

Memory

-3.4MiB live, 328.0MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	912	18791
0	990	12867
1	5904	12762
0	8302	12297

Stop Event

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

Counts

197 → 364

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

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

eval76.0ms (0.7%)

Memory: 19.0MiB live, 165.7MiB allocated; 22ms collecting garbage
Compiler: Compiled 29 360 to 2 389 computations (91.9% saved)

prune28.0ms (0.3%)

Memory

-20.6MiB live, 70.9MiB allocated; 9ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	434	16	450
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	439	16	455

Accuracy

100.0%

Counts

455 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
	98.6%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 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)))))))))
	97.7%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	78.6%	(neg.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
	77.2%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
▶	99.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (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)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
	99.4%	#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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.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)))
	98.4%	#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)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
▶	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	98.4%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	99.2%	#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 (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)))
	98.1%	#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)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
▶	98.2%	#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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))

Compiler

Compiled 1 736 to 944 computations (45.6% saved)

series221.0ms (2%)

Memory

16.3MiB live, 404.6MiB allocated; 56ms collecting garbage

Counts

57 → 114

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

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

3 calls:

Time	Variable		Point	Expression
84.0ms	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)) (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)) (* (* f (PI)) 1/4) (* f (PI)) 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)))))))) (* (/ (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)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (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)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (sinh (* (* f (PI)) 1/4)) 2)) (* (sinh (* (* f (PI)) 1/4)) 2))
78.0ms	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)) (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)) (* (* f (PI)) 1/4) (* f (PI)) 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)))))))) (* (/ (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)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (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)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (sinh (* (* f (PI)) 1/4)) 2)) (* (sinh (* (* f (PI)) 1/4)) 2))
50.0ms	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)) (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)) (* (* f (PI)) 1/4) (* f (PI)) 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)))))))) (* (/ (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)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (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)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (sinh (* (* f (PI)) 1/4)) 2)) (* (sinh (* (* f (PI)) 1/4)) 2))

Time

Variable

Point

Expression

84.0ms

-inf

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78.0ms

inf

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50.0ms

((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (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)) (* (* f (PI)) 1/4) (* f (PI)) 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)))))))) (* (/ (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)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (* (log f) -1) (log (/ 4 (PI)))) (log f) -1 (log (/ 4 (PI))) (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (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)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (cosh (* (* f (PI)) 1/4)) 2)) (* (cosh (* (* f (PI)) 1/4)) 2) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) (log (* (sinh (* (* f (PI)) 1/4)) 2)) (* (sinh (* (* f (PI)) 1/4)) 2))

rewrite236.0ms (2.2%)

Memory

-9.9MiB live, 265.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	786	12286
0	868	7263
1	5307	7173
0	8022	6868

Stop Event

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

Counts

171 → 373

Calls

Call 1

Inputs
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f
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#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) #s(hole binary64 (+ (/ (log (/ 1 f)) (PI)) (/ (log (/ 4 (PI))) (PI)))))
#s(approx (/ (log f) (PI)) #s(hole binary64 (* -1 (/ (log (/ 1 f)) (PI)))))
#s(approx (* (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) -4) #s(hole binary64 (* -4 (- (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)) (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))))))
#s(approx (- (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI))) #s(hole binary64 (- (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)) (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI)))))
#s(approx (/ (log (* (cosh (* (* f (PI)) 1/4)) 2)) (PI)) #s(hole binary64 (/ (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))))
#s(approx (log (* (cosh (* (* f (PI)) 1/4)) 2)) #s(hole binary64 (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (cosh (* (* f (PI)) 1/4)) 2) #s(hole binary64 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
#s(approx (/ (log (* (sinh (* (* f (PI)) 1/4)) 2)) (PI)) #s(hole binary64 (/ (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (PI))))
#s(approx (log (* (sinh (* (* f (PI)) 1/4)) 2)) #s(hole binary64 (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (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 (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (+ (* (log f) -1) (log (/ 4 (PI)))) #s(hole binary64 (+ (log (/ 4 (PI))) (* -1 (+ (log -1) (* -1 (log (/ -1 f))))))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 f))))))
#s(approx (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) #s(hole binary64 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))) (/ (log (/ 4 (PI))) (PI)))))
#s(approx (/ (log f) (PI)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))

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

eval92.0ms (0.8%)

Memory: 6.2MiB live, 149.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 40 058 to 2 876 computations (92.8% saved)

prune42.0ms (0.4%)

Memory

24.2MiB live, 118.1MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	470	7	477
Fresh	5	6	11
Picked	2	3	5
Done	0	0	0
Total	477	16	493

Accuracy

100.0%

Counts

493 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
▶	97.7%	(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	77.2%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶	99.4%	#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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	99.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (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)))
	98.4%	#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 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (sinh ( (* f (PI)) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (PI.f64)))
▶	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	98.4%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
✓	99.2%	#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 (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)))
	98.1%	#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)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	98.6%	#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 #s(approx (/ (log ( (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (fma.f64 (.f64 (.f64 f f) (PI.f64)) #s(literal 1/32 binary64) (/.f64 (log.f64 #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)))
▶	98.2%	#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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 f (PI.f64)) (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 f (PI.f64)) (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))) #s(literal -4 binary64)))

Compiler

Compiled 1 837 to 1 000 computations (45.6% saved)

series498.0ms (4.6%)

Memory

-9.7MiB live, 655.6MiB allocated; 239ms collecting garbage

Counts

56 → 128

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

3 calls:

Time	Variable		Point	Expression
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78.0ms	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) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) -4) (PI)) (* (+ (log 2) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) -4) (+ (log 2) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) (log 2) 2 (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2))) (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (* (sinh (* (* 1/4 f) (PI))) 2) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (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))) (/ (/ 4 (PI)) f) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (neg (log f)) (log (/ 4 (PI)))) (neg (log f)) (log f) (log (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/ (log (/ 4 (PI))) (PI)) (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (pow (/ (PI) 4) -1/2) (/ (PI) 4) -1/2 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2)

Time

Variable

Point

Expression

275.0ms

inf

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119.0ms

-inf

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78.0ms

((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) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) -4) (PI)) (* (+ (log 2) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) -4) (+ (log 2) (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)))) (log 2) 2 (log (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2))) (/ (cosh (* (* f (PI)) -1/4)) (* (sinh (* (* 1/4 f) (PI))) 2)) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (* (sinh (* (* 1/4 f) (PI))) 2) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (log (/ (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))) (/ (/ 4 (PI)) f) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (neg (log f)) (log (/ 4 (PI)))) (neg (log f)) (log f) (log (/ 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 (/ (* 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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/ (log (/ 4 (PI))) (PI)) (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (pow (/ (PI) 4) -1/2) (/ (PI) 4) -1/2 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2)

rewrite222.0ms (2%)

Memory

38.0MiB live, 311.8MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	16794
0	822	9373
1	4915	9072
0	8101	8722

Stop Event

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

Counts

184 → 363

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

eval78.0ms (0.7%)

Memory: 5.2MiB live, 106.3MiB allocated; 33ms collecting garbage
Compiler: Compiled 31 028 to 2 181 computations (93% saved)

prune35.0ms (0.3%)

Memory

-24.2MiB live, 71.2MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	391	7	398
Fresh	3	5	8
Picked	3	2	5
Done	0	3	3
Total	397	17	414

Accuracy

100.0%

Counts

414 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
✓	99.4%	#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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	99.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (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)))
	98.4%	#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 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (sinh ( (* f (PI)) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (PI.f64)))
✓	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	98.4%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
	98.0%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	98.3%	#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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
✓	99.2%	#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 (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)))
	98.1%	#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)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	98.6%	#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 #s(approx (/ (log ( (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (fma.f64 (.f64 (.f64 f f) (PI.f64)) #s(literal 1/32 binary64) (/.f64 (log.f64 #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)))
	98.2%	#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 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))) #s(literal -4 binary64)))
	98.2%	#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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))

Compiler

Compiled 3 308 to 918 computations (72.2% saved)

regimes48.0ms (0.4%)

Memory

25.4MiB live, 71.4MiB allocated; 3ms collecting garbage

Counts

36 → 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)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #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) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (sinh ( (* f (PI)) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 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 (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 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #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 #s(approx (/ (log ( (cosh (* (* f (PI)) 1/4)) 2)) (PI)) (fma.f64 (.f64 (.f64 f f) (PI.f64)) #s(literal 1/32 binary64) (/.f64 (log.f64 #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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.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)))
#s(approx (neg (* (/ 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 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 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)))
(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)))))))))
(neg.f64 (log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 f (PI.f64)) (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 f (PI.f64)) (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))) #s(literal -4 binary64)))
(neg.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))

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:

9.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms	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)))))))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
99.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
99.5%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
99.5%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes32.0ms (0.3%)

Memory

-6.0MiB live, 42.9MiB allocated; 5ms collecting garbage

Counts

22 → 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)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #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) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.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 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (sinh ( (* f (PI)) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 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 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))

Calls

6 calls:

8.0ms	f
6.0ms	(*.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))))))
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
98.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
98.4%	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)))))`
98.4%	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))))))`
98.4%	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)))))))`
98.4%	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))))))))`
98.4%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes31.0ms (0.3%)

Memory

-13.3MiB live, 33.3MiB allocated; 3ms collecting garbage

Counts

17 → 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)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #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) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 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 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))

Calls

6 calls:

10.0ms	(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))))))))
5.0ms	f
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
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))))))

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
98.4%	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)))))`
98.4%	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))))))`
98.4%	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)))))))`
98.4%	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))))))))`
98.4%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes16.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

10 → 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)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (log.f64 #s(approx (/ (cosh ( (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #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) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
98.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.3%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.3%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes11.0ms (0.1%)

Memory

-33.0MiB live, 13.9MiB allocated; 2ms collecting garbage

Accuracy

Total -0.1b remaining (-13.8%)

Threshold costs -0.1b (-13.8%)

Counts

3 → 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)))

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

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

Calls

6 calls:

5.0ms	f
1.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
98.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.3%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.3%	1	`f`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify50.0ms (0.5%)

Memory

0.6MiB live, 46.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	298
1	137	288
2	300	288
3	866	288
4	4893	228

Stop Event

1×	node limit

Calls

Call 1

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

derivations188.0ms (1.7%)

Memory

34.0MiB live, 173.4MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 298 to 80 computations (73.2% saved)

preprocess32.0ms (0.3%)

Memory: 5.9MiB live, 50.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 670 to 192 computations (71.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze158.0ms (1.4%)

sample6.8s (62.1%)

explain311.0ms (2.9%)

preprocess408.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series180.0ms (1.6%)

rewrite221.0ms (2%)

eval69.0ms (0.6%)

prune8.0ms (0.1%)

series529.0ms (4.8%)

rewrite310.0ms (2.8%)

eval76.0ms (0.7%)

prune28.0ms (0.3%)

series221.0ms (2%)

rewrite236.0ms (2.2%)

eval92.0ms (0.8%)

prune42.0ms (0.4%)

series498.0ms (4.6%)

rewrite222.0ms (2%)

eval78.0ms (0.7%)

prune35.0ms (0.3%)

regimes48.0ms (0.4%)

regimes32.0ms (0.3%)

regimes31.0ms (0.3%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

simplify50.0ms (0.5%)

derivations188.0ms (1.7%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling