Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

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

analyze247.0ms (2.8%)

Memory

32.6MiB live, 172.7MiB allocated; 87ms 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)

sample5.9s (66.1%)

Memory

-45.9MiB live, 6 468.6MiB allocated; 2.5s collecting garbage

Samples

3.0s	7 810×	1	valid
1.8s	7 164×	1	invalid
179.0ms	181×	2	valid
24.0ms	265×	0	valid
1.0ms	13×	0	invalid
0.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-exp: 1.5s (34.7% of total)

ival-log: 1.2s (27.9% of total)

adjust: 546.0ms (12.5% of total)

ival-mult!: 356.0ms (8.1% of total)

ival-neg: 335.0ms (7.6% of total)

ival-sub!: 159.0ms (3.6% of total)

ival-div!: 137.0ms (3.1% of total)

ival-add!: 107.0ms (2.4% of total)

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

Bogosity

preprocess51.0ms (0.6%)

Memory

-3.8MiB live, 32.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	118
1	88	96
2	288	96
3	827	91
4	5380	83

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.2%

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

series147.0ms (1.6%)

Memory

-5.3MiB live, 240.1MiB allocated; 79ms 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
95.0ms	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)))))
39.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
8.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

Time

Variable

Point

Expression

95.0ms

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)))))

39.0ms

-inf

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

8.0ms

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

rewrite180.0ms (2%)

Memory

15.3MiB live, 203.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

59 → 123

Calls

Call 1

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

eval18.0ms (0.2%)

Memory: 24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 820 to 906 computations (76.3% saved)

prune38.0ms (0.4%)

Memory

-32.3MiB live, 14.5MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Accuracy

99.3%

Counts

117 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(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)))))))))
	3.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
▶	6.5%	(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))))))))
▶	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (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)))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
	76.3%	(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)))))
▶	96.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 706 to 470 computations (33.4% saved)

series316.0ms (3.5%)

Memory

43.9MiB live, 422.4MiB allocated; 44ms collecting garbage

Counts

73 → 155

Calls

Call 1

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

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

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

150.0ms

-inf

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112.0ms

inf

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44.0ms

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

rewrite312.0ms (3.5%)

Memory

-16.3MiB live, 294.2MiB allocated; 124ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	948	14245
0	1056	9620
1	6255	9533
0	8805	9155

Stop Event

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

Counts

228 → 477

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))))))
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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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#s(approx (cosh (* (* (PI) f) -1/4)) #s(literal 1 binary64))
#s(approx (cosh (* (* (PI) f) -1/4)) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 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)
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
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#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* (PI) f) 1/4)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
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#s(approx (* (* (PI) f) 1/4) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
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#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
#s(approx (* (* (PI) 1/2) f) (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
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#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 f (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/48 binary64)) #s(literal -2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 0 binary64) (fma.f64 (.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)))) (PI.f64))) (.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/48 binary64)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (PI.f64)) #s(literal 2 binary64))) f (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))) f (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)) #s(literal 4 binary64))))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(literal 0 binary64) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/48 binary64)) #s(literal -2 binary64))) f)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
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#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64))
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#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (exp (* (/ (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)))
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#s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))
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#s(approx (cosh (* f (/ (PI) 4))) #s(literal 1 binary64))
#s(approx (cosh (* f (/ (PI) 4))) (fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
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#s(approx (* f (/ (PI) 4)) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (log (* 2 (sinh (* f (/ (PI) 4))))) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (log (* 2 (sinh (* f (/ (PI) 4))))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
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#s(approx (* 2 (sinh (* f (/ (PI) 4)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(approx (* 2 (sinh (* f (/ (PI) 4)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))) f (.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
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#s(approx (sinh (* f (/ (PI) 4))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
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#s(approx (sinh (* f (/ (PI) 4))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)))) f (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64)))))) f (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
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#s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 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)))
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#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)))
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#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 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 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (log (* 2 (cosh (* f (/ (PI) 4))))) (log.f64 (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* 2 (cosh (* f (/ (PI) 4)))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* f (/ (PI) 4))) (.f64 (.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (log (* 2 (sinh (* f (/ (PI) 4))))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* 2 (sinh (* f (/ (PI) 4)))) (.f64 (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (sinh (* f (/ (PI) 4))) (.f64 (.f64 (sinh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) (.f64 f f)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (neg.f64 (.f64 (-.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))

eval86.0ms (1%)

Memory: -0.7MiB live, 98.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 14 353 to 3 560 computations (75.2% saved)

prune16.0ms (0.2%)

Memory

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

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	455	12	467
Fresh	3	1	4
Picked	5	0	5
Done	0	0	0
Total	463	13	476

Accuracy

99.5%

Counts

476 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
	3.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	4.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx ( 2 (cosh (* f (/ (PI) 4)))) #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))))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
▶	44.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))))))
	1.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	76.3%	(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))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	96.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
▶	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
▶	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
▶	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 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)))

Compiler

Compiled 1 304 to 878 computations (32.7% saved)

series289.0ms (3.2%)

Memory

26.8MiB live, 167.1MiB allocated; 10ms collecting garbage

Counts

63 → 124

Calls

Call 1

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

3 calls:

Time	Variable		Point	Expression
115.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* f (PI)) 1/4)) (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)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (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 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (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)) (neg (log f)) (log f))
106.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* f (PI)) 1/4)) (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)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (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 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (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)) (neg (log f)) (log f))
59.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (log (/ (cosh (* (* f (PI)) 1/4)) (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)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (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 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (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)) (neg (log f)) (log f))

Time

Variable

Point

Expression

115.0ms

-inf

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106.0ms

inf

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (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)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (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 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (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)) (neg (log f)) (log f))

59.0ms

((neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ (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)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) 1/12 (/ 4 (* (* f f) (PI))) (* (* f f) (PI)) (* f f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (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 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (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)) (neg (log f)) (log f))

rewrite186.0ms (2.1%)

Memory

2.3MiB live, 93.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	799	12496
0	885	7266
1	5097	6861
0	8276	6596

Stop Event

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

Counts

187 → 479

Calls

Call 1

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

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

eval100.0ms (1.1%)

Memory: -37.0MiB live, 108.0MiB allocated; 69ms collecting garbage
Compiler: Compiled 10 382 to 2 932 computations (71.8% saved)

prune23.0ms (0.3%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	1	7	8
Picked	2	3	5
Done	0	0	0
Total	397	19	416

Accuracy

99.6%

Counts

416 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
	44.8%	(.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f)))))
	3.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
▶	4.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx ( 2 (cosh (* f (/ (PI) 4)))) #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))))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
	44.7%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	76.3%	(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))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
✓	96.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
▶	95.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
▶	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
✓	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
✓	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
▶	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (PI.f64))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
	95.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 #s(approx (/ (log (/ ( 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))) #s(literal -4 binary64)))

Compiler

Compiled 1 876 to 1 186 computations (36.8% saved)

series306.0ms (3.4%)

Memory

-13.4MiB live, 367.2MiB allocated; 39ms collecting garbage

Counts

53 → 116

Calls

Call 1

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

3 calls:

Time	Variable		Point	Expression
189.0ms	f	@	inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (/ 4 (PI)) 4 (PI) (log f) f -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) (/ (log 2) (PI)) (log 2) 2 (/ (log (* (* f (PI)) 1/2)) (PI)) (log (* (* f (PI)) 1/2)) (* (* f (PI)) 1/2) (* f (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* 2 (cosh (* f (/ (PI) 4)))) (- (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) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) -4) (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (/ (neg (log f)) (PI)) (neg (log f)) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI))) (/ (log (/ 4 (PI))) (PI)) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI))))
68.0ms	f	@	-inf	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (/ 4 (PI)) 4 (PI) (log f) f -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) (/ (log 2) (PI)) (log 2) 2 (/ (log (* (* f (PI)) 1/2)) (PI)) (log (* (* f (PI)) 1/2)) (* (* f (PI)) 1/2) (* f (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* 2 (cosh (* f (/ (PI) 4)))) (- (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) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) -4) (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (/ (neg (log f)) (PI)) (neg (log f)) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI))) (/ (log (/ 4 (PI))) (PI)) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI))))
42.0ms	f	@	0	((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (/ 4 (PI))) (log f)) (PI)) -4) (/ (- (log (/ 4 (PI))) (log f)) (PI)) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (/ 4 (PI)) 4 (PI) (log f) f -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) -4) (- (/ (log 2) (PI)) (/ (log (* (* f (PI)) 1/2)) (PI))) (/ (log 2) (PI)) (log 2) 2 (/ (log (* (* f (PI)) 1/2)) (PI)) (log (* (* f (PI)) 1/2)) (* (* f (PI)) 1/2) (* f (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* 2 (cosh (* f (/ (PI) 4)))) (- (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) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) -4) (/ (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI)))) (- (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI)))) (* (/ (neg (log f)) (PI)) (/ (neg (log f)) (PI))) (/ (neg (log f)) (PI)) (neg (log f)) (* (/ (log (/ 4 (PI))) (PI)) (/ (log (/ 4 (PI))) (PI))) (/ (log (/ 4 (PI))) (PI)) (- (/ (neg (log f)) (PI)) (/ (log (/ 4 (PI))) (PI))))

Time

Variable

Point

Expression

189.0ms

inf

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68.0ms

-inf

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42.0ms

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rewrite255.0ms (2.9%)

Memory

27.1MiB live, 294.2MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	8905
0	749	6028
1	3989	5708
0	8906	5543

Stop Event

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

Counts

169 → 396

Calls

Call 1

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

eval149.0ms (1.7%)

Memory: -28.3MiB live, 139.7MiB allocated; 158ms collecting garbage
Compiler: Compiled 9 064 to 2 354 computations (74% saved)

prune28.0ms (0.3%)

Memory

23.0MiB live, 70.2MiB allocated; 1ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	354	10	364
Fresh	3	8	11
Picked	3	2	5
Done	0	3	3
Total	360	23	383

Accuracy

99.6%

Counts

383 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
	1.6%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ ( 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
	4.2%	(.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(approx ( 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))
	44.8%	(.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 f f) (PI.f64)))) f)))))
	3.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
	96.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
	1.5%	(neg.f64 (log.f64 (pow.f64 #s(approx (/ (* 2 (cosh (* f (/ (PI) 4)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	76.3%	(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))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
	4.2%	(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
✓	96.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
	95.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (/.f64 (-.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
✓	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
	95.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
✓	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
	95.6%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
✓	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 #s(approx (/ 2 ( (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal -4 binary64)))
✓	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (PI.f64))) #s(literal -4 binary64)))
	95.5%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) #s(literal -4 binary64)))

Compiler

Compiled 2 240 to 1 111 computations (50.4% saved)

regimes58.0ms (0.6%)

Memory

-22.1MiB live, 122.7MiB allocated; 6ms collecting garbage

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

10.0ms	(/.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)))))
10.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms	f
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
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))))))

Results

Accuracy	Segments	Branch
99.2%	2	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
99.2%	2	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
99.2%	2	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
99.2%	2	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
99.2%	2	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
99.2%	2	`f`

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes35.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.8%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.8%	1	`f`
96.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes32.0ms (0.4%)

Memory

-28.3MiB live, 19.1MiB allocated; 1ms collecting garbage

Accuracy

Total -60.6b remaining (-2444.9%)

Threshold costs -60.6b (-2444.9%)

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	f
6.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
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
96.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.1%	1	`f`
96.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`

Compiler

Compiled 126 to 60 computations (52.4% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 37 to 20 computations (45.9% saved)

derivations134.0ms (1.5%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 142 to 76 computations (46.5% saved)

preprocess25.0ms (0.3%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 176 to 92 computations (47.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze247.0ms (2.8%)

sample5.9s (66.1%)

preprocess51.0ms (0.6%)

series147.0ms (1.6%)

rewrite180.0ms (2%)

eval18.0ms (0.2%)

prune38.0ms (0.4%)

series316.0ms (3.5%)

rewrite312.0ms (3.5%)

eval86.0ms (1%)

prune16.0ms (0.2%)

series289.0ms (3.2%)

rewrite186.0ms (2.1%)

eval100.0ms (1.1%)

prune23.0ms (0.3%)

series306.0ms (3.4%)

rewrite255.0ms (2.9%)

eval149.0ms (1.7%)

prune28.0ms (0.3%)

regimes58.0ms (0.6%)

regimes35.0ms (0.4%)

regimes32.0ms (0.4%)

bsearch1.0ms (0%)

derivations134.0ms (1.5%)

preprocess25.0ms (0.3%)

end0.0ms (0%)

Profiling