Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

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

analyze263.0ms (1.8%)

Memory

-11.0MiB live, 312.1MiB allocated; 216ms 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)

sample7.6s (51.6%)

Memory

163.9MiB live, 7 849.3MiB allocated; 7.1s collecting garbage

Samples

3.4s	7 509×	1	invalid
3.1s	7 824×	1	valid
193.0ms	174×	2	valid
20.0ms	258×	0	valid
1.0ms	11×	0	invalid
0.0ms	7×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-exp: 2.3s (38.2% of total)

ival-mult!: 1.1s (18.4% of total)

adjust: 919.0ms (15.3% of total)

ival-log: 702.0ms (11.7% of total)

ival-neg: 462.0ms (7.7% of total)

ival-sub!: 251.0ms (4.2% of total)

ival-div!: 176.0ms (2.9% of total)

ival-add!: 102.0ms (1.7% of total)

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

Bogosity

preprocess56.0ms (0.4%)

Memory

-11.4MiB live, 39.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	78
1	121	54
2	498	54
3	2950	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

7.3%

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

Compiler

Compiled 68 to 32 computations (52.9% saved)

series103.0ms (0.7%)

Memory

38.4MiB live, 128.9MiB allocated; 15ms 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))))))))))
#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)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#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)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))))
#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))
#s(approx (+ (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)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#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))))))
#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)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -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)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(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
51.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
40.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
10.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

Time

Variable

Point

Expression

51.0ms

-inf

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

40.0ms

inf

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

10.0ms

((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)))))

rewrite230.0ms (1.6%)

Memory

-20.1MiB live, 260.2MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	3547
0	328	2177
1	1879	2038
0	10001	1972

Stop Event

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

Counts

59 → 125

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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#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)))
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#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
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#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 1))
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Outputs
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(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
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(.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
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#s(literal 1 binary64)
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(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
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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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 f (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) f)))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#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 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 0 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/96 binary64)))) f (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f)) f)) f))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 (PI.f64) #s(literal 0 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 0 binary64)) f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f)) f #s(literal 2 binary64)))
#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
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#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
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#s(approx f f)
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#s(approx (neg (* (/ (PI) 4) f)) (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (.f64 f f) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval26.0ms (0.2%)

Memory: 1.2MiB live, 45.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 961 to 925 computations (76.6% saved)

prune9.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	9	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Accuracy

99.8%

Counts

119 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
	97.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.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) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (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) (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))))))))))))
▶	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 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)))))))))
▶	7.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64))) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
	6.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp ( (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	96.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	78.4%	(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)))))) (.f64 (/.f64 #s(literal 1 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 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 696 to 422 computations (39.4% saved)

series1.4s (9.8%)

Memory

24.1MiB live, 1 476.4MiB allocated; 1.2s collecting garbage

Counts

73 → 221

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

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

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

548.0ms

inf

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484.0ms

-inf

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329.0ms

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rewrite426.0ms (2.9%)

Memory

29.9MiB live, 347.9MiB allocated; 335ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1327	23209
0	1459	15677
0	8436	15045

Stop Event

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

Counts

294 → 476

Calls

Call 1

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

eval102.0ms (0.7%)

Memory: 19.7MiB live, 199.6MiB allocated; 79ms collecting garbage
Compiler: Compiled 17 334 to 3 210 computations (81.5% saved)

prune33.0ms (0.2%)

Memory

-0.5MiB live, 59.3MiB allocated; 20ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	416	14	430
Fresh	3	1	4
Picked	5	0	5
Done	0	0	0
Total	424	15	439

Accuracy

100.0%

Counts

439 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
▶	96.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 #s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
▶	96.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 #s(approx (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))))
	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
▶	6.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp ( (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp ( (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	78.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64))) (/.f64 #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 (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg 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)))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) f) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.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)))
▶	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
	96.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	96.6%	#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 #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)) (+.f64 (neg.f64 (.f64 f (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))

Compiler

Compiled 1 312 to 884 computations (32.6% saved)

series1.4s (9.2%)

Memory

-2.6MiB live, 1 312.1MiB allocated; 1.3s collecting garbage

Counts

54 → 123

Calls

Call 1

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

3 calls:

Time	Variable		Point	Expression
693.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (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)) (* (* f (PI)) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) 1 (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ 2 (* (* 1/2 (PI)) f)) 2 (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 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)) (/ (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)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
406.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (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)) (* (* f (PI)) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) 1 (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ 2 (* (* 1/2 (PI)) f)) 2 (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 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)) (/ (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)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
234.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (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)) (* (* f (PI)) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) 1 (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ 2 (* (* 1/2 (PI)) f)) 2 (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 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)) (/ (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)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

Time

Variable

Point

Expression

693.0ms

-inf

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

406.0ms

inf

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

234.0ms

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

rewrite258.0ms (1.8%)

Memory

23.2MiB live, 210.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	871	14012
0	940	9352
1	5564	9270
0	8115	8938

Stop Event

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

Counts

177 → 340

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg 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 (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))
(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)))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 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)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 #s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (PI.f64))
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Outputs
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#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal -1/384 binary64) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) f (.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (neg (* (/ (PI) 4) f)) (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
#s(approx (* (/ (PI) 4) f) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (.f64 (.f64 f f) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (.f64 f f) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/122880 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/122880 binary64))) (.f64 f f))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 0 binary64))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) (PI.f64)))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -3/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)))
#s(approx (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (cosh (* (* f (PI)) -1/4)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* f (PI)) 1/4)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))
#s(approx (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (neg.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))))
#s(approx (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))
#s(approx (neg (log f)) (neg.f64 (log.f64 f)))
#s(approx (log f) (neg.f64 (neg.f64 (log.f64 f))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 #s(literal 2 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 (* 1/2 (PI)))) (neg (log f))) (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 (neg.f64 f))))))
#s(approx (neg (log f)) (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (log.f64 #s(literal -1 binary64)))))
#s(approx (log f) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (log.f64 #s(literal -1 binary64))))

eval77.0ms (0.5%)

Memory: -8.3MiB live, 82.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 10 171 to 1 932 computations (81% saved)

prune38.0ms (0.3%)

Memory

0.2MiB live, 47.0MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	298	10	308
Fresh	4	6	10
Picked	3	2	5
Done	0	0	0
Total	305	18	323

Accuracy

100.0%

Counts

323 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
	98.2%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
	96.6%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	96.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (log ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))))
	96.1%	(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)) (neg.f64 (log.f64 #s(approx ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
	4.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	78.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	78.9%	(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #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 (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
✓	98.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg 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)))
	97.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(approx (cosh ( (* f (PI)) -1/4)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 #s(approx (/ (log (/ (cosh ( (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (neg.f64 (.f64 f (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
▶	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
▶	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
✓	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
	96.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (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)))

Compiler

Compiled 1 549 to 1 065 computations (31.2% saved)

series1.7s (11.2%)

Memory

-202.6MiB live, 1 943.8MiB allocated; 1.8s collecting garbage

Counts

62 → 141

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64))
(-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
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#s(literal 4 binary64)
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#s(literal 2 binary64)
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Outputs
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#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))
#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* -4 (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))
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#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (* -1 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))
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#s(approx (+ (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) #s(hole binary64 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))) (/ (log (/ 4 (PI))) (PI)))))
#s(approx (/ (neg (log f)) (PI)) #s(hole binary64 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI)))))

Calls

3 calls:

Time	Variable		Point	Expression
884.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (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 f) 4 (* (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 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))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (* (* 1/2 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+ (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 4 (PI))) (PI)) (log (/ 4 (PI))) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))))) (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* (* 1/2 (PI)) (PI)) (/ (neg (log f)) (PI)))
519.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (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 f) 4 (* (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 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))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (* (* 1/2 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+ (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 4 (PI))) (PI)) (log (/ 4 (PI))) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))))) (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* (* 1/2 (PI)) (PI)) (/ (neg (log f)) (PI)))
236.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (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 f) 4 (* (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 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))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (* (* 1/2 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+ (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 4 (PI))) (PI)) (log (/ 4 (PI))) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))))) (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* (* 1/2 (PI)) (PI)) (/ (neg (log f)) (PI)))

Time

Variable

Point

Expression

884.0ms

inf

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519.0ms

-inf

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236.0ms

((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* f (PI)) 1/4))) (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (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 f) 4 (* (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))))) (/ 4 (PI)) (neg (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))))) (log (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 1/2 (PI)) 1/2 (neg (log f)) (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 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))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (* (* 1/2 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (* (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+ (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 4 (PI))) (PI)) (log (/ 4 (PI))) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))))) (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* (* 1/2 (PI)) (PI)) (/ (neg (log f)) (PI)))

rewrite239.0ms (1.6%)

Memory

9.4MiB live, 289.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	17194
0	1095	10090
1	6794	10003
0	8611	9559

Stop Event

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

Counts

203 → 419

Calls

Call 1

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

eval59.0ms (0.4%)

Memory: 13.5MiB live, 103.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 11 185 to 2 759 computations (75.3% saved)

prune31.0ms (0.2%)

Memory

-46.4MiB live, 52.9MiB allocated; 10ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	357	5	362
Fresh	2	9	11
Picked	3	2	5
Done	0	2	2
Total	362	18	380

Accuracy

100.0%

Counts

380 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
	96.6%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	96.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (log ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
	98.2%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (log ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))))
	96.1%	(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)) (neg.f64 (log.f64 #s(approx ( 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
	4.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	78.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 (.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 2 binary64))) (/.f64 #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 (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	97.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (-.f64 #s(approx (log (cosh ( (* f (PI)) 1/4))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)))) (log.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (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 (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg 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)))
	97.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(approx (cosh ( (* f (PI)) -1/4)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg f))))))))))) (.f64 #s(approx (/ (log (/ (cosh ( (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4)))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 4 (PI))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))
	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(approx ( 2 (cosh (* (* (PI) f) -1/4))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 f f)) (.f64 (PI.f64) (PI.f64)) #s(literal 2 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)))
✓	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
✓	96.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
	96.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (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)))

Compiler

Compiled 1 802 to 999 computations (44.6% saved)

regimes52.0ms (0.4%)

Memory

39.5MiB live, 85.5MiB allocated; 2ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (/ (- (exp (* (* f (/ (PI) 4)) 3)) (exp (* (* (/ (PI) 4) (neg f)) 3))) (+ (exp (* (* f (/ (PI) 4)) 2)) (+ (exp (* (* (/ (PI) 4) (neg f)) 2)) (exp (+ (* f (/ (PI) 4)) (* (/ (PI) 4) (neg 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)))

Calls

6 calls:

9.0ms	f
9.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms	(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 #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	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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 126 to 60 computations (52.4% saved)

regimes29.0ms (0.2%)

Memory

5.3MiB live, 51.3MiB allocated; 2ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Outputs

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

Calls

6 calls:

6.0ms	f
5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

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

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes182.0ms (1.2%)

Memory

-45.1MiB live, 57.3MiB allocated; 224ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

151.0ms	f
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

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

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes30.0ms (0.2%)

Memory

5.2MiB live, 51.1MiB allocated; 5ms collecting garbage

Counts

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

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 #s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 2 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:

9.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	f
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

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

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes26.0ms (0.2%)

Memory

-0.8MiB live, 44.8MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Calls

6 calls:

8.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	f
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

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

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes9.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.3b remaining (-15.6%)

Threshold costs -0.3b (-15.6%)

Counts

4 → 1

Calls

Call 1

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

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:

2.0ms	f
2.0ms	(*.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))))))
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))))))))

Results

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

Compiler

Compiled 126 to 60 computations (52.4% saved)

derivations341.0ms (2.3%)

Memory

20.2MiB live, 289.3MiB allocated; 110ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 222 to 118 computations (46.8% saved)

preprocess61.0ms (0.4%)

Memory: -7.2MiB live, 138.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 256 to 134 computations (47.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze263.0ms (1.8%)

sample7.6s (51.6%)

preprocess56.0ms (0.4%)

series103.0ms (0.7%)

rewrite230.0ms (1.6%)

eval26.0ms (0.2%)

prune9.0ms (0.1%)

series1.4s (9.8%)

rewrite426.0ms (2.9%)

eval102.0ms (0.7%)

prune33.0ms (0.2%)

series1.4s (9.2%)

rewrite258.0ms (1.8%)

eval77.0ms (0.5%)

prune38.0ms (0.3%)

series1.7s (11.2%)

rewrite239.0ms (1.6%)

eval59.0ms (0.4%)

prune31.0ms (0.2%)

regimes52.0ms (0.4%)

regimes29.0ms (0.2%)

regimes182.0ms (1.2%)

regimes30.0ms (0.2%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

derivations341.0ms (2.3%)

preprocess61.0ms (0.4%)

end0.0ms (0%)

Profiling