Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

analyze168.0ms (2%)

Memory

22.0MiB live, 207.4MiB allocated; 49ms 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)

sample5.3s (60.9%)

Memory

106.3MiB live, 5 744.0MiB allocated; 2.4s collecting garbage

Samples

2.4s	7 573×	1	invalid
1.9s	7 835×	1	valid
131.0ms	170×	2	valid
21.0ms	251×	0	valid
1.0ms	11×	0	invalid
1.0ms	8×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-exp: 1.3s (35.6% of total)

ival-mult!: 727.0ms (20.3% of total)

adjust: 552.0ms (15.4% of total)

ival-log: 364.0ms (10.2% of total)

ival-neg: 337.0ms (9.4% of total)

ival-div!: 141.0ms (3.9% of total)

ival-add!: 107.0ms (3% of total)

ival-sub!: 78.0ms (2.2% of total)

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

Bogosity

preprocess81.0ms (0.9%)

Memory

-18.7MiB live, 49.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	72
1	146	54
2	756	54
3	5814	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))))))

Status

Accuracy

Program

▶

8.1%

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

Compiler

Compiled 68 to 32 computations (52.9% saved)

series97.0ms (1.1%)

Memory

39.0MiB live, 171.8MiB allocated; 16ms collecting garbage

Counts

16 → 42

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 (* -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
43.0ms	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)))))
43.0ms	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

43.0ms

-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)))))

43.0ms

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)))))

rewrite199.0ms (2.3%)

Memory

-23.3MiB live, 262.3MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	3538
0	327	2142
1	2400	1778
0	8242	1712

Stop Event

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

Counts

58 → 165

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

eval23.0ms (0.3%)

Memory: 37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 217 to 1 145 computations (72.8% saved)

prune12.0ms (0.1%)

Memory

-36.3MiB live, 10.6MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	8	161

Accuracy

99.7%

Counts

161 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
▶	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)) (.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))))))))))
	5.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
	98.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
▶	81.5%	(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶	99.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))

Compiler

Compiled 528 to 346 computations (34.5% saved)

series666.0ms (7.7%)

Memory

46.5MiB live, 950.3MiB allocated; 188ms collecting garbage

Counts

55 → 140

Calls

Call 1

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

Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(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 (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) #s(hole binary64 (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) #s(hole binary64 (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) #s(hole binary64 (+ (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* -1/2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))))))))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) #s(hole binary64 (+ (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -1/2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))) (* -1/6 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))))))))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) #s(hole binary64 (* -1 (+ (log f) (log (* 1/4 (PI)))))))
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Calls

3 calls:

Time	Variable		Point	Expression
387.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 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)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI))))) (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI)))) (/ 1 (tanh (* (* 1/4 (PI)) f))) 1 (tanh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (/ 4 (PI))) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (* 2 (cosh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (log (* 2 (sinh (* (* 1/4 (PI)) f)))) (* 2 (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))) (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (exp (* (* 1/4 (PI)) (neg f))) (* (* 1/4 (PI)) (neg f)) (neg f) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))
222.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 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)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI))))) (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI)))) (/ 1 (tanh (* (* 1/4 (PI)) f))) 1 (tanh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (/ 4 (PI))) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (* 2 (cosh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (log (* 2 (sinh (* (* 1/4 (PI)) f)))) (* 2 (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))) (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (exp (* (* 1/4 (PI)) (neg f))) (* (* 1/4 (PI)) (neg f)) (neg f) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))
47.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 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)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI))))) (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI)))) (/ 1 (tanh (* (* 1/4 (PI)) f))) 1 (tanh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (/ 4 (PI))) (/ 4 (PI)) 4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (* 2 (cosh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (log (* 2 (sinh (* (* 1/4 (PI)) f)))) (* 2 (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))) (/ (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))))) (+ (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f))))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (exp (* (* 1/4 (PI)) (neg f))) (* (* 1/4 (PI)) (neg f)) (neg f) (- (exp (* (/ (PI) 4) f)) (* (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt (exp (* (* 1/4 (PI)) (neg f)))))))

Time

Variable

Point

Expression

387.0ms

inf

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222.0ms

-inf

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47.0ms

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

rewrite279.0ms (3.2%)

Memory

-14.3MiB live, 170.8MiB allocated; 101ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1044	13970
0	1137	8708
0	8634	8332

Stop Event

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

Counts

195 → 452

Calls

Call 1

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

Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
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(PI.f64)
f
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#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) f) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -48 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))) (PI.f64)) #s(literal 24 binary64)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal 8 binary64))))) f (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)))) f) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (log (tanh (* (* (PI) f) 1/4))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (log (tanh (* (* (PI) f) 1/4))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) f) (PI.f64)) #s(literal 2 binary64))))
#s(approx (log (tanh (* (* (PI) f) 1/4))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) f) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal 8 binary64))) (.f64 (/.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 2 binary64))) f)))
#s(approx (log (tanh (* (* (PI) f) 1/4))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) f) (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -48 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))) (PI.f64)) #s(literal 24 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))) f)) f)))
#s(approx (tanh (* (* (PI) f) 1/4)) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
#s(approx (tanh (* (* (PI) f) 1/4)) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (.f64 (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) f) #s(literal 1/2 binary64))) f))
#s(approx (tanh (* (* (PI) f) 1/4)) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) f)) f)) f))
#s(approx (tanh (* (* (PI) f) 1/4)) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64) (.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))) f)) (.f64 #s(literal 1/128 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f)) f)) f))
#s(approx (* (PI) f) (*.f64 f (PI.f64)))
#s(approx f f)
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))))
#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 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (fma.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) f) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (fma.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (exp.f64 (.f64 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (exp.f64 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -8 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) #s(literal -64 binary64) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal -16 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))))) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 32 binary64))) #s(literal 2 binary64))) f) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (PI.f64) (PI.f64)))) f)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (fma.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) f) (fma.f64 (/.f64 (.f64 (.f64 (exp.f64 (.f64 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal -16 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))))) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 32 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (.f64 (exp.f64 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal -8 binary64))) (.f64 (PI.f64) (PI.f64)))) #s(literal -48 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) 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#s(approx (sinh (* (* 1/4 (PI)) f)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64) (.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)))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 f (-.f64 (.f64 #s(literal 1/6144 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/2048 binary64))))) (-.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 #s(literal 1/192 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))) f)) f)) f))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) f) (PI.f64)) #s(literal 2 binary64) (.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (fma.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))) f)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (fma.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64)) #s(literal 4 binary64) (.f64 (fma.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 f (/.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64))) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) (PI.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 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (PI.f64))) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal 2 binary64))) f)) f)))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (neg.f64 (log.f64 f)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 f (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) f)))
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#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) f)) f (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 (fma.f64 f (fma.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64) (.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 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) f)) (.f64 (/.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) f)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (* 2 (cosh (* (* 1/4 (PI)) f))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 0 binary64)) f)))
#s(approx (* 2 (cosh (* (* 1/4 (PI)) f))) (+.f64 #s(literal 2 binary64) (.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(approx (* 2 (cosh (* (* 1/4 (PI)) f))) (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 0 binary64) (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 0 binary64)) f)) f)) f)))
#s(approx (exp (* (/ (PI) 4) f)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (exp (* (/ (PI) 4) f)) (+.f64 #s(literal 1 binary64) (.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(approx (exp (* (/ (PI) 4) f)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)) f)))
#s(approx (exp (* (* 1/4 (PI)) (neg f))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (exp (* (* 1/4 (PI)) (neg f))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f)))
#s(approx (exp (* (* 1/4 (PI)) (neg f))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal -1/384 binary64) (.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)) f)))
#s(approx (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 f (PI.f64)))))
#s(approx (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (PI.f64) (.f64 (.f64 (.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) f) #s(literal 1/2 binary64))) f)))
#s(approx (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (PI.f64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))) f (.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) f)) f)))
#s(approx (* (* 1/4 (PI)) (neg f)) (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))
#s(approx (neg f) (neg.f64 f))
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#s(approx (* 2 (sinh (* (* 1/4 (PI)) f))) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (.f64 f f))) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f)) (.f64 #s(literal -1/4 binary64) (PI.f64)))) f))
#s(approx (* 2 (sinh (* (* 1/4 (PI)) f))) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64) (.f64 (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/122880 binary64) (.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 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)))) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))) (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)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)))
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#s(approx (log (tanh (* (* (PI) f) 1/4))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (tanh (* (* (PI) f) 1/4)) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (neg (/ 4 (PI)))) (exp.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64))))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log.f64 (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* 2 (cosh (* (* 1/4 (PI)) f))) (.f64 (cosh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* (* 1/4 (PI)) f)) (.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 (* (* 1/4 (PI)) f)))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
#s(approx (* 2 (sinh (* (* 1/4 (PI)) f))) (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
#s(approx (sinh (* (* 1/4 (PI)) f)) (.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (* 2 (cosh (* (* 1/4 (PI)) f))) (.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 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (exp (* (* 1/4 (PI)) (neg f))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (sqrt (exp (* (* 1/4 (PI)) (neg f)))) (sqrt.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
#s(approx (exp (* (* 1/4 (PI)) (neg f))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (* 2 (sinh (* (* 1/4 (PI)) f))) (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) f))))

eval87.0ms (1%)

Memory: 23.3MiB live, 68.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 590 to 2 328 computations (78% saved)

prune29.0ms (0.3%)

Memory

-13.4MiB live, 30.5MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	311	13	324
Fresh	3	0	3
Picked	5	0	5
Done	0	0	0
Total	319	13	332

Accuracy

99.9%

Counts

332 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (sqrt.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))))))
▶	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))))
	81.5%	(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	81.5%	(log.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	95.8%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
▶	98.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)) #s(literal -4 binary64)))
▶	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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 #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)))
	96.1%	#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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
▶	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
▶	99.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))

Compiler

Compiled 1 088 to 740 computations (32% saved)

series462.0ms (5.4%)

Memory

12.2MiB live, 760.0MiB allocated; 190ms collecting garbage

Counts

49 → 100

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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64))
(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))
(/.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64))
(log.f64 (.f64 (.f64 #s(literal 1/4 binary64) 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 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (log.f64 f))
(log.f64 f)
#s(literal -4 binary64)
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.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))
#s(approx (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f)))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64)))))
(log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))

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

3 calls:

Time	Variable		Point	Expression
219.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) 4) (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (* (* 1/4 f) (PI))) (PI)) 4) (/ (log (* (* 1/4 f) (PI))) (PI)) (log (* (* 1/4 f) (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (log (/ 4 (PI))) (neg (log f))) (log (/ 4 (PI))) (/ 4 (PI)) (neg (log f)) (log f) -4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 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)))))))) (* (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) -4) (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (* 2 (* (* 1/4 f) (PI))) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (exp (* 2 (* (* 1/4 f) (PI)))))
136.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) 4) (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (* (* 1/4 f) (PI))) (PI)) 4) (/ (log (* (* 1/4 f) (PI))) (PI)) (log (* (* 1/4 f) (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (log (/ 4 (PI))) (neg (log f))) (log (/ 4 (PI))) (/ 4 (PI)) (neg (log f)) (log f) -4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 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)))))))) (* (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) -4) (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (* 2 (* (* 1/4 f) (PI))) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (exp (* 2 (* (* 1/4 f) (PI)))))
101.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) 4) (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (* (* 1/4 f) (PI))) (PI)) 4) (/ (log (* (* 1/4 f) (PI))) (PI)) (log (* (* 1/4 f) (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (+ (log (/ 4 (PI))) (neg (log f))) (log (/ 4 (PI))) (/ 4 (PI)) (neg (log f)) (log f) -4 (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+ (log (/ 2 (* 1/2 (PI)))) (neg (log f))) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (* 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)))))))) (* (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) -4) (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (* 2 (* (* 1/4 f) (PI))) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (exp (* 2 (* (* 1/4 f) (PI)))))

Time

Variable

Point

Expression

219.0ms

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

136.0ms

-inf

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

101.0ms

inf

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

rewrite226.0ms (2.6%)

Memory

31.8MiB live, 262.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	8070
0	824	5350
1	6217	5318
0	8583	5075

Stop Event

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

Counts

149 → 498

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

Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (PI.f64))
(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (PI.f64))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(-.f64 (log.f64 (neg.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64)))) (log.f64 (neg.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(-.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64))))
(+.f64 (log.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(+.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64)))))
(log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64))))
(.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (neg.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))
(/.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 4 binary64)) (PI.f64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)) (-.f64 (.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))))))
(/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(fma.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))))
(+.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (log.f64 f))
(/.f64 (-.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (log.f64 (/.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (log.f64 f) (log.f64 f) (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) f)))
(-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 f) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) f)))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (pow.f64 f (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
(log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))
(log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
(/.f64 (*.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(*.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (neg.f64 (log.f64 f)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 f) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
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#s(approx (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (.f64 (.f64 (.f64 f f) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64))) #s(literal 4 binary64))))
#s(approx (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (.f64 (.f64 #s(literal 4 binary64) (fma.f64 f (/.f64 (-.f64 (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) (PI.f64)) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)))) (.f64 f f))))
#s(approx (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (+.f64 (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) f) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/7680 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/3072 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)))))) (PI.f64)) #s(literal 96 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal -192 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) (PI.f64)) #s(literal 4 binary64))) f (.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 4 binary64))) (*.f64 f f))))
#s(approx (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (.f64 f f))) f))
#s(approx (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) f (.f64 #s(literal 1/96 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
#s(approx (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 f (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/7680 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/3072 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)))))) (.f64 #s(literal 1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) (PI.f64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64)))) f (.f64 #s(literal 1/96 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/48 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 #s(literal 1/384 binary64) f) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) f (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/2 binary64) (PI.f64))) f))
#s(approx (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) #s(literal 2 binary64))
#s(approx (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f #s(literal 2 binary64)))
#s(approx (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/48 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64)))) f (.f64 #s(literal 1/2 binary64) (PI.f64))) f #s(literal 2 binary64)))
#s(approx (exp (* 2 (* (* 1/4 f) (PI)))) #s(literal 1 binary64))
#s(approx (exp (* 2 (* (* 1/4 f) (PI)))) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 (* (* 1/4 f) (PI)))) (fma.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) f) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (exp (* 2 (* (* 1/4 f) (PI)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/48 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64)))) f (.f64 #s(literal 1/2 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (tanh (* (* 1/4 f) (PI)))) (PI)) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)))
#s(approx (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
#s(approx (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (* (/ (log (* (* 1/4 f) (PI))) (PI)) 4) (.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (* (* 1/4 f) (PI))) (PI)) (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (* (* 1/4 f) (PI))) (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
#s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (neg (log f)) (neg.f64 (log.f64 f)))
#s(approx (log f) (neg.f64 (neg.f64 (log.f64 f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f)))))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (PI.f64))) #s(literal 4 binary64)))
#s(approx (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (PI)) (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (PI.f64)))
#s(approx (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))) (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)) (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (exp (* 2 (* (* 1/4 f) (PI)))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (* (/ (log (* (* 1/4 f) (PI))) (PI)) 4) (.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (log.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (* (* 1/4 f) (PI))) (PI)) (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (* (* 1/4 f) (PI))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (+ (log (/ 4 (PI))) (neg (log f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))

eval61.0ms (0.7%)

Memory: -0.4MiB live, 133.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 672 to 2 602 computations (70% saved)

prune31.0ms (0.4%)

Memory

16.1MiB live, 69.1MiB allocated; 7ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	361	14	375
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	368	20	388

Accuracy

99.9%

Counts

388 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	81.5%	(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	81.5%	(log.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.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)))
	5.9%	#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 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))))))) (PI.f64)) #s(literal -4 binary64)))
	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (.f64 (neg.f64 (neg.f64 (log.f64 f))) (neg.f64 (neg.f64 (log.f64 f))))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))))) (PI.f64)) #s(literal -4 binary64)))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
	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 #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)))
▶	96.1%	#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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (.f64 (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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (-.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64))))
▶	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
▶	98.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64)) #s(literal 4 binary64))))
✓	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
✓	99.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal 4 binary64))))

Compiler

Compiled 1 899 to 1 255 computations (33.9% saved)

series299.0ms (3.5%)

Memory

-35.5MiB live, 397.2MiB allocated; 58ms collecting garbage

Counts

44 → 82

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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64)) #s(literal 4 binary64))
(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (PI.f64))
(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(expm1.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))
f
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 #s(approx (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
(.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(log.f64 f)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
(.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))
(fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)

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

3 calls:

Time	Variable		Point	Expression
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73.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) 4) (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1)) (- (exp (* (* f (PI)) 1/2)) 1) (* (* f (PI)) 1/2) (* f (PI)) f (PI) 1/2 (+ (exp (* (* f (PI)) 1/2)) 1) (exp (* (* f (PI)) 1/2)) 1 4 (* (/ 4 (PI)) (neg (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))))) (/ 4 (PI)) (neg (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))))) (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log (/ (/ 4 (PI)) f)) (/ (/ 4 (PI)) 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 (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) 4) (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* 1/4 (PI)) 1/4 (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/ 1 (PI)) (/ (log (* 1/4 (PI))) (PI)) (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI)))) (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI))) (/ 1 (tanh (* (* 1/4 (PI)) f))) (tanh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (/ -4 (PI)) -4)
73.0ms	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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) 4) (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1)) (- (exp (* (* f (PI)) 1/2)) 1) (* (* f (PI)) 1/2) (* f (PI)) f (PI) 1/2 (+ (exp (* (* f (PI)) 1/2)) 1) (exp (* (* f (PI)) 1/2)) 1 4 (* (/ 4 (PI)) (neg (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))))) (/ 4 (PI)) (neg (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1))))) (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log (/ (/ 4 (PI)) f)) (/ (/ 4 (PI)) 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 (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) 4) (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* 1/4 (PI)) 1/4 (log f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/ 1 (PI)) (/ (log (* 1/4 (PI))) (PI)) (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI)))) (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI))) (/ 1 (tanh (* (* 1/4 (PI)) f))) (tanh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (/ -4 (PI)) -4)

Time

Variable

Point

Expression

144.0ms

inf

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73.0ms

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

73.0ms

-inf

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

rewrite214.0ms (2.5%)

Memory

6.9MiB live, 340.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	7370
0	766	5448
1	5438	5316
0	8115	5057

Stop Event

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

Counts

126 → 366

Calls

Call 1

Inputs
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f
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Outputs
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#s(approx (tanh (* (* 1/4 (PI)) f)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) f) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
#s(approx (tanh (* (* 1/4 (PI)) f)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))) f (.f64 #s(literal 1/4 binary64) (PI.f64))) f))
#s(approx (tanh (* (* 1/4 (PI)) f)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 f (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/8 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (.f64 #s(literal -1/384 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/128 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (* (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) 4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (PI)) (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (PI.f64)))
#s(approx (log (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1))) (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ (- (exp (* (* f (PI)) 1/2)) 1) (+ (exp (* (* f (PI)) 1/2)) 1)) (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* (* f (PI)) 1/2)) 1) (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (+ (exp (* (* f (PI)) 1/2)) 1) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (exp (* (* f (PI)) 1/2)) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (neg (log (/ (- (exp (* 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
#s(approx (log (/ (/ 4 (PI)) f)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (+ (log (* 1/4 (PI))) (log f)) (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (log f) (neg.f64 (neg.f64 (log.f64 f))))
#s(approx (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI)))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (pow (/ 1 (tanh (* (* 1/4 (PI)) f))) (/ -4 (PI))) (exp.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))))
#s(approx (/ 1 (tanh (* (* 1/4 (PI)) f))) (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (tanh (* (* 1/4 (PI)) f)) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (log (/ (/ 4 (PI)) f)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))

eval54.0ms (0.6%)

Memory: 5.5MiB live, 139.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 7 682 to 2 132 computations (72.2% saved)

prune120.0ms (1.4%)

Memory

12.6MiB live, 106.2MiB allocated; 175ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	318	7	325
Fresh	3	10	13
Picked	2	3	5
Done	0	2	2
Total	323	22	345

Accuracy

99.9%

Counts

345 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))))
	96.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 f (PI.f64)))))))
	96.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) f) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))))))))
	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
✓	81.5%	(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	81.5%	(log.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.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)))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.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 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
	98.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(literal 4 binary64)) (PI.f64))))
✓	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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))))
	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (-.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64))))
✓	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
	5.9%	#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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))))) (PI.f64)) #s(literal 4 binary64))))
✓	96.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
✓	99.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 4 binary64))))
	96.2%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal 4 binary64))))

Compiler

Compiled 1 772 to 1 068 computations (39.7% saved)

regimes104.0ms (1.2%)

Memory

21.3MiB live, 162.9MiB allocated; 57ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (-.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #s(literal -4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64)) #s(literal -4 binary64)))
(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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (-.f64 (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 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (fma.f64 (log.f64 f) (PI.f64) (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log ( 2 (cosh (* (* 1/4 (PI)) f)))) (log (* 2 (sinh (* (* 1/4 (PI)) f))))) (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(literal 4 binary64)) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 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 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (neg (log (/ (- (exp ( 2 (* (* 1/4 f) (PI)))) 1) (+ (exp (* 2 (* (* 1/4 f) (PI)))) 1)))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) f) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (fma.f64 (log.f64 f) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(approx (log (/ 2 ( (* (PI) 1/2) f))) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (.f64 (neg.f64 (neg.f64 (log.f64 f))) (neg.f64 (neg.f64 (log.f64 f))))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 f (PI.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)))))))) #s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (.f64 (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/4 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))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (sqrt.f64 (exp.f64 (.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))))))))))

Outputs

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

Calls

6 calls:

36.0ms	(/.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)))))
24.0ms	f
16.0ms	(.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)))))))
10.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
99.4%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
99.4%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
99.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
99.4%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
99.4%	1	`f`

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes27.0ms (0.3%)

Memory

-9.2MiB live, 38.6MiB allocated; 10ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Outputs

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

Calls

6 calls:

9.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0ms	f
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
96.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.3%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.3%	1	`f`

Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes13.0ms (0.2%)

Memory

-23.2MiB live, 23.9MiB allocated; 1ms collecting garbage

Accuracy

Total -0.3b remaining (-13.1%)

Threshold costs -0.3b (-13.1%)

Counts

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.3%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.3%	1	`f`

Compiler

Compiled 126 to 60 computations (52.4% saved)

derivations80.0ms (0.9%)

Memory

38.6MiB live, 84.8MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 80 to 49 computations (38.8% saved)

preprocess33.0ms (0.4%)

Memory: -0.6MiB live, 48.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 114 to 65 computations (43% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze168.0ms (2%)

sample5.3s (60.9%)

preprocess81.0ms (0.9%)

series97.0ms (1.1%)

rewrite199.0ms (2.3%)

eval23.0ms (0.3%)

prune12.0ms (0.1%)

series666.0ms (7.7%)

rewrite279.0ms (3.2%)

eval87.0ms (1%)

prune29.0ms (0.3%)

series462.0ms (5.4%)

rewrite226.0ms (2.6%)

eval61.0ms (0.7%)

prune31.0ms (0.4%)

series299.0ms (3.5%)

rewrite214.0ms (2.5%)

eval54.0ms (0.6%)

prune120.0ms (1.4%)

regimes104.0ms (1.2%)

regimes27.0ms (0.3%)

regimes13.0ms (0.2%)

derivations80.0ms (0.9%)

preprocess33.0ms (0.4%)

end0.0ms (0%)

Profiling