Metrics for Migdal et al, Equation (51)

start0.0ms (0%)

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

analyze99.0ms (0.7%)

Memory

22.2MiB live, 173.6MiB allocated; 21ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
50%	25%	25%	0.1%	0%	50%	0%	3
50%	25%	25%	0.1%	0%	50%	0%	4
50%	25%	25%	0.1%	0%	50%	0%	5
50%	25%	25%	0.1%	0%	50%	0%	6
51.6%	25%	23.4%	0.1%	0%	51.5%	0%	7
52.5%	25%	22.6%	0.1%	0%	52.3%	0%	8
53.8%	25%	21.5%	0.1%	0%	53.5%	0%	9
54.5%	25%	20.9%	0.1%	0%	54%	0%	10
55.3%	25%	20.2%	0.1%	0%	54.7%	0%	11
55.7%	25%	19.9%	0.1%	0%	55.1%	0%	12

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.0s (21.9%)

Memory

91.7MiB live, 3 268.6MiB allocated; 874ms collecting garbage

Samples

1.3s	5 350×	1	invalid
985.0ms	8 255×	0	valid
111.0ms	455×	2	invalid
25.0ms	261×	0	exit
23.0ms	378×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-pow: 606.0ms (33.5% of total)

ival-mult!: 499.0ms (27.6% of total)

ival-div!: 254.0ms (14.1% of total)

adjust: 225.0ms (12.5% of total)

ival-sqrt: 154.0ms (8.5% of total)

ival-sub!: 69.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

Bogosity

preprocess82.0ms (0.6%)

Memory

-47.7MiB live, 58.3MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	101
1	128	87
2	462	87
3	2175	86

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))

Symmetry

(abs k)

Compiler

Compiled 32 to 26 computations (18.8% saved)

series221.0ms (1.6%)

Memory

28.9MiB live, 216.4MiB allocated; 49ms collecting garbage

Counts

13 → 37

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)

Outputs
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 k (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
#s(approx (sqrt k) (sqrt.f64 k))
#s(approx k k)
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 #s(literal -1/2 binary64) (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (.f64 k (fma.f64 #s(literal -1/48 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 k) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))
#s(approx (- 1 k) #s(literal 1 binary64))
#s(approx (- 1 k) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal 1 binary64) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (- 1 k) 2) (*.f64 #s(literal -1/2 binary64) k))
#s(approx (/ (- 1 k) 2) (.f64 k (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (- 1 k) (*.f64 #s(literal -1 binary64) k))
#s(approx (- 1 k) (*.f64 k (-.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal -1 binary64) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt k) (.f64 #s(literal -1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))
#s(approx (/ (- 1 k) 2) (.f64 #s(literal -1 binary64) (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) k))))))
#s(approx (- 1 k) (.f64 #s(literal -1 binary64) (.f64 k (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (* 2 (PI)) n) (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
#s(approx n n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))

Calls

6 calls:

Time	Variable	Point
33.0ms	n	0
25.0ms	n	-inf
8.0ms	n	inf
2.0ms	k	0
2.0ms	k	-inf

rewrite1.1s (8%)

Memory

-27.8MiB live, 1 003.4MiB allocated; 379ms collecting garbage

Counts

13 → 2 438

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)

Outputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 k))) #s(literal 2 binary64))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k))) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 k)))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 (.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 k)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 k) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 k)) (.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 k) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) (sqrt.f64 k)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k)))))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 #s(literal 4 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal -1 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal -2 binary64)))
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(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 k)) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 k)) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (sqrt.f64 k)) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 (-.f64 k #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (-.f64 k #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1/4 binary64) #s(literal -2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/8 binary64) #s(literal 8 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/8 binary64) #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1/4 binary64) #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1/8 binary64) #s(literal -4 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/16 binary64) #s(literal 16 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 8 binary64) #s(literal 1/8 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal 4 binary64) #s(literal 1/8 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal -4 binary64) #s(literal -1/4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal 1/64 binary64) #s(literal 64 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -4 binary64) #s(literal -1/8 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(fma.f64 #s(literal -1 binary64) (-.f64 k #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 k #s(literal 1 binary64)) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) k) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) k) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 k)))
(fma.f64 #s(literal -2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (*.f64 #s(literal 0 binary64) (-.f64 k #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (*.f64 (-.f64 k #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 k))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) k))
(fma.f64 (neg.f64 (sqrt.f64 k)) (*.f64 (neg.f64 (sqrt.f64 k)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 k))) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) #s(literal -1/8 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 1/8 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/8 binary64) #s(literal -4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) k) k) #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) k))
(fma.f64 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k))
(neg.f64 (-.f64 k #s(literal 1 binary64)))

eval385.0ms (2.8%)

Memory: 7.2MiB live, 384.4MiB allocated; 131ms collecting garbage
Compiler: Compiled 57 007 to 10 007 computations (82.4% saved)

prune67.0ms (0.5%)

Memory

-10.0MiB live, 83.7MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	2 456	9	2 465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 457	9	2 466

Accuracy

99.8%

Counts

2 466 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
	99.1%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
▶	99.2%	(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	49.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
	49.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 #s(literal -1/2 binary64) (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))))
▶	95.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
▶	99.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
▶	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
	95.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))

Compiler

Compiled 448 to 350 computations (21.9% saved)

series265.0ms (1.9%)

Memory

26.9MiB live, 170.6MiB allocated; 25ms collecting garbage

Counts

41 → 89

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64)))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 k) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))
(*.f64 n (PI.f64))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))
(log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)

Outputs
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64)))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (.f64 k (fma.f64 #s(literal -1/48 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))))))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) k))
#s(approx (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (/.f64 (sqrt.f64 k) k))
#s(approx (+ (* 1 (sqrt k)) (* (sqrt k) 0)) (sqrt.f64 k))
#s(approx k k)
#s(approx (* (sqrt k) 0) #s(literal 0 binary64))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 #s(literal -1/2 binary64) (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (.f64 k (fma.f64 #s(literal -1/48 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 k) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))
#s(approx (- 1 k) #s(literal 1 binary64))
#s(approx (- 1 k) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 k (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (sqrt.f64 k)))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
#s(approx (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))))
#s(approx (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))) (fma.f64 #s(literal -1/2 binary64) (.f64 k (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))
#s(approx (* (log (* 2 (* n (PI)))) (- 1 k)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))
#s(approx (* (log (* 2 (* n (PI)))) (- 1 k)) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 k (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))))
#s(approx (/ 1 k) (/.f64 #s(literal 1 binary64) k))
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#s(approx (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
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#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (- 1 k) 2) (*.f64 #s(literal -1/2 binary64) k))
#s(approx (/ (- 1 k) 2) (.f64 k (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (- 1 k) (*.f64 #s(literal -1 binary64) k))
#s(approx (- 1 k) (*.f64 k (-.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (sqrt k)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k)))))
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#s(approx (* (log (* 2 (* n (PI)))) (- 1 k)) (.f64 #s(literal -1 binary64) (.f64 k (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))
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#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
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#s(approx (* (* 2 (PI)) n) (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
#s(approx n n)
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#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)) k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (sqrt.f64 k))))
#s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))))
#s(approx (/ (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (sqrt k)) (/.f64 (exp.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))) (sqrt.f64 k)))
#s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))
#s(approx (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (log (* 2 (* n (PI)))) (- 1 k)) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (log (* 2 (* n (PI)))) (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))

Calls

6 calls:

Time	Variable	Point
28.0ms	k	inf
27.0ms	k	-inf
19.0ms	n	inf
18.0ms	n	0
14.0ms	n	-inf

rewrite1.3s (9.5%)

Memory

50.4MiB live, 1 159.7MiB allocated; 346ms collecting garbage

Counts

41 → 4 781

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64)))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 k) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))
(*.f64 n (PI.f64))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))
(log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 1 binary64))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal -1 binary64))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal -1 binary64) k))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))))
(.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k))
(.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal -1 binary64)))
(.f64 (neg.f64 (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 k)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))))
(.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal -1 binary64))
(/.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 (sqrt.f64 k) k)) (.f64 k k))
(/.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) (neg.f64 k))
(/.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) k)
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (.f64 (.f64 (sqrt.f64 k) k) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (.f64 k k))
(/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 k)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal -1 binary64) k) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 k)) #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(fma.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64))
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(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 k)) k) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (*.f64 k (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 k (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 (neg.f64 k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) k) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 k)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 k (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 k)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 k)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k))) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(fma.f64 #s(literal 0 binary64) (.f64 k (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal 1 binary64) k))
(neg.f64 (/.f64 #s(literal -1 binary64) k))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) k) #s(literal 1 binary64)))
(pow.f64 k #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k)))

eval1.3s (9.3%)

Memory: -9.6MiB live, 1 097.9MiB allocated; 501ms collecting garbage
Compiler: Compiled 196 605 to 25 109 computations (87.2% saved)

prune186.0ms (1.4%)

Memory

-1.3MiB live, 234.7MiB allocated; 34ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	6 163	19	6 182
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	6 171	20	6 191

Accuracy

100.0%

Counts

6 191 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
▶	99.1%	(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
	95.8%	(/.f64 #s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))) (sqrt.f64 k))
▶	99.3%	(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
	72.1%	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 k) k) k) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	53.7%	(.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 k) #s(literal 1 binary64)) #s(literal 1 binary64)) k) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	90.8%	(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
▶	95.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	95.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (E.f64) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
	95.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 k #s(literal 1 binary64))))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
	99.1%	(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
▶	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	49.7%	#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
	50.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
	49.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
▶	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))

Compiler

Compiled 1 007 to 759 computations (24.6% saved)

series399.0ms (2.9%)

Memory

7.2MiB live, 431.5MiB allocated; 127ms collecting garbage

Counts

41 → 115

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64)))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 k) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
n
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))
(.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))
(log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(neg.f64 k)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(/.f64 n k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
(.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))
#s(literal 2 binary64)
(*.f64 n (PI.f64))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))
(-.f64 #s(literal 1 binary64) k)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
(exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
(.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))

Outputs
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 k (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (fma.f64 k (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))))) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (fma.f64 k (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 k (fma.f64 #s(literal -1/6 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 3 binary64)) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) k))
#s(approx (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (/.f64 (sqrt.f64 k) k))
#s(approx (+ (* 1 (sqrt k)) (* (sqrt k) 0)) (sqrt.f64 k))
#s(approx k k)
#s(approx (* (sqrt k) 0) #s(literal 0 binary64))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 k (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))))))))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 #s(literal 1/2 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))))))))))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (+.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 k (fma.f64 #s(literal -1/6 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 3 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))))))))))
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#s(approx (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (+ (* 1 (sqrt k)) (* (sqrt k) 0)) (.f64 #s(literal -1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (sqrt (pow (* (+ (PI) (PI)) n) (- 1 k))) (sqrt.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))))
#s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k)))))
#s(approx (- 1 k) (.f64 #s(literal -1 binary64) (.f64 k (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal -1 binary64) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))
#s(approx (exp (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n))))) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k)))))
#s(approx (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n)))) (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))))))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) k))
#s(approx n n)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 n) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (* n (PI)) (*.f64 n (PI.f64)))
#s(approx (sqrt (pow (* (+ (PI) (PI)) n) (- 1 k))) (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 n) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (+.f64 (log.f64 n) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n)))) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 n (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))))) k))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (.f64 n (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))))
#s(approx (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))))
#s(approx (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)) (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))
#s(approx (log (sqrt (* (+ (PI) (PI)) n))) (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (sqrt.f64 k)))
#s(approx (/ (sqrt (* 2 (* n (PI)))) (* k (sqrt (/ 1 k)))) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt (pow (* (+ (PI) (PI)) n) (- 1 k))) (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (exp (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n))))) (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n)))) (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))))) k)))
#s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (.f64 #s(literal -1 binary64) (.f64 n (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))))
#s(approx (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))))
#s(approx (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)) (.f64 #s(literal -1 binary64) (.f64 k (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))
#s(approx (log (sqrt (* (+ (PI) (PI)) n))) (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (sqrt.f64 k))))
#s(approx (/ (sqrt (* 2 (* n (PI)))) (* k (sqrt (/ 1 k)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (sqrt (pow (* (+ (PI) (PI)) n) (- 1 k))) (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (exp (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n))))) (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (- 1 k) (log (sqrt (* (+ (PI) (PI)) n)))) (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))

Calls

6 calls:

Time	Variable	Point
65.0ms	k	0
33.0ms	n	-inf
31.0ms	k	inf
24.0ms	n	0
21.0ms	n	inf

rewrite2.1s (15.6%)

Memory

-141.3MiB live, 1 580.0MiB allocated; 1.8s collecting garbage

Counts

41 → 5 062

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64)))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 k) #s(literal 0 binary64))
#s(literal 0 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
n
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))
(.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))
(log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(neg.f64 k)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(/.f64 n k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
(.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))
#s(literal 2 binary64)
(*.f64 n (PI.f64))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))
(-.f64 #s(literal 1 binary64) k)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
(exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
(.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))

Outputs
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)) #s(literal 1 binary64))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(.f64 (neg.f64 (sqrt.f64 (.f64 k (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))) (/.f64 #s(literal -1 binary64) k))
(.f64 (sqrt.f64 (.f64 k (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal 1 binary64) k))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))) #s(literal -1 binary64))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 (sqrt.f64 (.f64 k (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k)))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
(.f64 (/.f64 (sqrt.f64 (.f64 k (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k)))) k) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (/.f64 #s(literal 1 binary64) k)))
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(fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
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(fma.f64 #s(literal 0 binary64) (/.f64 k (neg.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 k) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
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(fma.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
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(fma.f64 (sqrt.f64 (.f64 k (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 k)) #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k)))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 k (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
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(fma.f64 #s(literal 0 binary64) (.f64 k (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))) #s(literal 1/2 binary64) (sinh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))) #s(literal 1/2 binary64) (cosh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
(fma.f64 (sinh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))) (.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
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(fma.f64 (.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) #s(literal 1 binary64) (.f64 (.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) #s(literal 1 binary64)))
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(neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
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(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 0 binary64) (.f64 k (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
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(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))) #s(literal 1/2 binary64) (sinh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
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(fma.f64 (sinh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1 binary64) (.f64 (cosh.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) k (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))
(fma.f64 k (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(log.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 k #s(literal 1 binary64))))

eval929.0ms (6.8%)

Memory: 54.9MiB live, 1 448.9MiB allocated; 389ms collecting garbage
Compiler: Compiled 188 855 to 23 325 computations (87.6% saved)

prune141.0ms (1%)

Memory

-20.9MiB live, 267.9MiB allocated; 40ms collecting garbage

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	5 316	29	5 345
Fresh	9	5	14
Picked	3	2	5
Done	0	1	1
Total	5 328	37	5 365

Accuracy

100.0%

Counts

5 365 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
▶	99.1%	(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
	76.5%	(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
	95.8%	(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
	49.8%	(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
	90.8%	(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
✓	95.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	99.1%	(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
	76.2%	(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	74.1%	(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
	85.0%	(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
	49.7%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	39.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
	41.4%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
	49.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	39.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
	41.3%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
▶	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
▶	39.7%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
✓	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	35.4%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
	53.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
	49.7%	#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
▶	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
	50.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
	41.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
	39.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
▶	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
	35.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))

Compiler

Compiled 1 942 to 1 435 computations (26.1% saved)

series325.0ms (2.4%)

Memory

38.4MiB live, 415.6MiB allocated; 118ms collecting garbage

Counts

35 → 88

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
(sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
n
(-.f64 #s(literal 2 binary64) (+.f64 k k))
#s(literal 2 binary64)
(+.f64 k k)
k
(sqrt.f64 k)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
(sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64)))
(*.f64 (/.f64 (+.f64 n n) k) (PI.f64))
(/.f64 (+.f64 n n) k)
(+.f64 n n)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
(sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k)))))
(.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))
(/.f64 n (sqrt.f64 (*.f64 k k)))
(sqrt.f64 (*.f64 k k))
(*.f64 k k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
#s(literal 1 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))

Outputs
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 k (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 k))))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (fma.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))))) (/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 k))))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (fma.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))) (.f64 k (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))))))) (/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 k))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 k (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)))))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)))))))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 k (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))))))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (fma.f64 #s(literal -2 binary64) (.f64 k (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (fma.f64 k (fma.f64 #s(literal -2 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (fma.f64 k (fma.f64 #s(literal -2 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))) (.f64 k (fma.f64 #s(literal -4/3 binary64) (.f64 k (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))
#s(approx (- 2 (+ k k)) #s(literal 2 binary64))
#s(approx (- 2 (+ k k)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) k)))
#s(approx (+ k k) (*.f64 #s(literal 2 binary64) k))
#s(approx k k)
#s(approx (sqrt k) (sqrt.f64 k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 k (.f64 n (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (sqrt.f64 k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (fma.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 n (.f64 (PI.f64) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (sqrt.f64 k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (fma.f64 k (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 k (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 k (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 n (.f64 (PI.f64) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (.f64 (PI.f64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 (.f64 n (.f64 (PI.f64) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 n (.f64 (PI.f64) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))))))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 k))))
#s(approx (sqrt (* (/ (+ n n) k) (PI))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 k (*.f64 n (PI.f64))))) k))
#s(approx (* (/ (+ n n) k) (PI)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 n (PI.f64)) k)))
#s(approx (/ (+ n n) k) (*.f64 #s(literal 2 binary64) (/.f64 n k)))
#s(approx (/ n (sqrt (* k k))) (/.f64 n k))
#s(approx (* k k) (pow.f64 k #s(literal 2 binary64)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 k (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)) (.f64 k (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 k (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (sqrt.f64 k)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 k)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k))))
#s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))
#s(approx (/ 1 k) (/.f64 #s(literal 1 binary64) k))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k)))))
#s(approx (- 2 (+ k k)) (*.f64 #s(literal -2 binary64) k))
#s(approx (- 2 (+ k k)) (.f64 k (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k)) #s(literal 2 binary64))))
#s(approx (sqrt k) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt (* (/ (+ n n) k) (PI))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 n (PI.f64)) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt (/ 1 k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) k))))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) k)))))
#s(approx (- 2 (+ k k)) (.f64 #s(literal -1 binary64) (.f64 k (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k))))))
#s(approx (sqrt k) (.f64 #s(literal -1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n (sqrt (* k k))))) (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 n (PI.f64)) k))))
#s(approx (* (+ (PI) (PI)) (/ n (sqrt (* k k)))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 n (PI.f64)) k)))
#s(approx (/ n (sqrt (* k k))) (*.f64 #s(literal -1 binary64) (/.f64 n k)))
#s(approx (sqrt (* k k)) (*.f64 #s(literal -1 binary64) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) k))))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))) (sqrt.f64 k)))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))))
#s(approx (* (+ (PI) (PI)) n) (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))
#s(approx n n)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 n) (log.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (+ n n) (*.f64 #s(literal 2 binary64) n))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n (sqrt (* k k))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 n (PI.f64)) (sqrt.f64 (pow.f64 k #s(literal 2 binary64)))))))
#s(approx (* (+ (PI) (PI)) (/ n (sqrt (* k k)))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 n (PI.f64)) (sqrt.f64 (pow.f64 k #s(literal 2 binary64))))))
#s(approx (/ n (sqrt (* k k))) (/.f64 n (sqrt.f64 (pow.f64 k #s(literal 2 binary64)))))
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#s(approx (log (sqrt (* (+ (PI) (PI)) n))) (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))) (sqrt.f64 k)))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k)))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n (sqrt (* k k))))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n (sqrt.f64 (pow.f64 k #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (sqrt.f64 k)))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (* k (sqrt (/ 1 k)))) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (log (sqrt (* (+ (PI) (PI)) n))) (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))) (sqrt.f64 k)))
#s(approx (sqrt (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k)))) (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 2 (+ k k))) (exp.f64 (.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) k)))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 k n)))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n (sqrt (* k k))))) (.f64 #s(literal -1 binary64) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 n (sqrt.f64 (pow.f64 k #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (.f64 #s(literal -2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (sqrt.f64 k))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (* k (sqrt (/ 1 k)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (log (sqrt (* (+ (PI) (PI)) n))) (+.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))

Calls

6 calls:

Time	Variable	Point
31.0ms	n	inf
30.0ms	n	-inf
30.0ms	n	0
7.0ms	k	-inf
6.0ms	k	0

rewrite401.0ms (2.9%)

Memory

14.1MiB live, 570.1MiB allocated; 112ms collecting garbage

Counts

35 → 943

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
(sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
n
(-.f64 #s(literal 2 binary64) (+.f64 k k))
#s(literal 2 binary64)
(+.f64 k k)
k
(sqrt.f64 k)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
(sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64)))
(*.f64 (/.f64 (+.f64 n n) k) (PI.f64))
(/.f64 (+.f64 n n) k)
(+.f64 n n)
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
(sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k)))))
(.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))
(/.f64 n (sqrt.f64 (*.f64 k k)))
(sqrt.f64 (*.f64 k k))
(*.f64 k k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
(*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
#s(literal 1 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))

Outputs
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)) #s(literal 1 binary64))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 k)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
(sqrt.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(fabs.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) #s(literal 1 binary64)))
(+.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(+.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(/.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fabs.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)))))
(fabs.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) #s(literal 1 binary64))
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(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1 binary64) (.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) #s(literal 1/2 binary64) (.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal 1/2 binary64) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))

eval269.0ms (2%)

Memory: -16.9MiB live, 370.0MiB allocated; 75ms collecting garbage
Compiler: Compiled 44 304 to 5 733 computations (87.1% saved)

prune52.0ms (0.4%)

Memory

13.8MiB live, 107.6MiB allocated; 5ms collecting garbage

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 275	9	1 284
Fresh	5	24	29
Picked	1	4	5
Done	0	3	3
Total	1 281	40	1 321

Accuracy

100.0%

Counts

1 321 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
	99.1%	(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sqrt.f64 k))
	76.5%	(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
	95.8%	(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
	49.8%	(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
	90.8%	(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
✓	95.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	99.1%	(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
	76.2%	(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	74.1%	(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
	85.0%	(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
	39.6%	#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
	49.7%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	39.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
	41.4%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
	49.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	39.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
	41.3%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
✓	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
	23.8%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
✓	39.7%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
	34.3%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
✓	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	35.5%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
	35.4%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	53.6%	#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
	49.7%	#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
✓	46.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
	50.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
	41.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
✓	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
	35.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
	49.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))

Compiler

Compiled 1 100 to 811 computations (26.3% saved)

regimes765.0ms (5.6%)

Memory

-9.8MiB live, 1 158.5MiB allocated; 296ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

7 → 1

10 → 1

13 → 2

16 → 3

17 → 3

31 → 3

35 → 2

39 → 3

42 → 2

43 → 1

47 → 1

61 → 1

65 → 1

67 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))

Outputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))

Call 2

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))

Outputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))

Call 3

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))

Outputs
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))

Call 4

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))

Outputs

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))

Call 5

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))

Outputs

#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (*.f64 k k))))))

Call 6

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))

Outputs

#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (*.f64 k k))))))

Call 7

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))

Outputs
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))

Outputs

#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (*.f64 k k))))))

Call 8

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))

Outputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))

Outputs

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 k k) (*.f64 k k))))))))

#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))

Call 9

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))

Outputs

#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 k k) (*.f64 k k))))))))

(*.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))))

#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (*.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))

Call 10

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))

Outputs

#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (*.f64 n (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))

(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))

Call 11

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))

Outputs
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))

Call 12

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))

Outputs
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))

Call 13

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sqrt.f64 k))
(/.f64 #s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
(.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 k) #s(literal 1 binary64)) #s(literal 1 binary64)) k) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 k) k) k) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))

Outputs
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sqrt.f64 k))

Call 14

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sqrt.f64 k))
(/.f64 #s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
(.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 k) #s(literal 1 binary64)) #s(literal 1 binary64)) k) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 k) k) k) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 k #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (E.f64) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))

Outputs

(*.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))

Call 15

Inputs
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 n n) k) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (PI.f64) (.f64 n (/.f64 #s(literal 2 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 n (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (/.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) #s(approx (sqrt (* (/ (+ n n) k) (PI))) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 k n)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (.f64 k k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 k)))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k))))) (/.f64 (.f64 (sqrt.f64 k) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 #s(approx (pow (* 2 (* n (PI))) 1/2) (.f64 n (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) n))))) (sqrt.f64 k)))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 k (+.f64 n n)) (*.f64 k k)) (PI.f64))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 (.f64 k (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (.f64 (sqrt.f64 k) (sqrt.f64 k))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (+.f64 n n) (.f64 (sqrt.f64 k) (sqrt.f64 k))) (PI.f64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (+ 1/2 (* k -1/2))) (sqrt k)) #s(approx (sqrt (* n (/ (+ (PI) (PI)) k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) k))) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k #s(approx (sqrt (/ 1 k)) (/.f64 (sqrt.f64 k) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (*.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (.f64 (neg.f64 (sqrt.f64 k)) (.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (neg.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n (sqrt.f64 (sqrt.f64 (.f64 (.f64 k k) (.f64 k k))))))))
#s(approx (/ (sqrt (pow (* n (+ (PI) (PI))) (- 1 k))) (sqrt k)) (sqrt.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) #s(approx (* (sqrt (* (+ (PI) (PI)) n)) (exp (* (log (sqrt (* (+ (PI) (PI)) n))) (neg k)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (.f64 k (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (.f64 k (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 #s(literal 1 binary64) k))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (* (/ (+ (* 1 (sqrt k)) (* (sqrt k) 0)) k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 1/2 binary64))) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k))
(/.f64 (sqrt.f64 #s(approx (pow (* (+ (PI) (PI)) n) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))) (sqrt.f64 k))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (fma.f64 k #s(literal -2 binary64) #s(literal 2 binary64)))) (sqrt.f64 k))
(/.f64 #s(approx (pow (* (+ (PI) (PI)) n) (+ (* k -1/2) 1/2)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 2 binary64) (+.f64 k k)))) (sqrt.f64 k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k))
(.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 k)))
(.f64 (sqrt.f64 (.f64 k (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (neg.f64 k))) k))
(.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 k) #s(literal 1 binary64)) #s(literal 1 binary64)) k) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 k) k) k) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 k #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (pow.f64 (E.f64) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt k) (.f64 k (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
(.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 #s(literal -1/2 binary64) (.f64 k (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 n (PI.f64))) #s(literal 1/2 binary64)))))

Outputs

(*.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 k) (*.f64 (sqrt.f64 k) #s(literal 0 binary64))) k) (*.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 k)))))

Calls

49 calls:

82.0ms	k
46.0ms	n
33.0ms	k
32.0ms	k
28.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)

Results

Accuracy	Segments	Branch
35.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
35.5%	1	`k`
35.5%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
35.5%	1	`n`
35.5%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
35.5%	1	`n`
35.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
35.5%	1	`k`
49.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
49.7%	1	`k`
49.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
49.7%	1	`n`
64.1%	2	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
64.5%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
64.5%	2	`n`
64.1%	2	`k`
68.2%	3	`k`
68.2%	3	`k`
68.6%	3	`k`
65.2%	2	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
70.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
66.8%	3	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
66.8%	3	`n`
79.3%	3	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
70.4%	2	`k`
99.5%	2	`k`
93.9%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.3%	3	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
93.9%	2	`n`
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.1%	1	`k`
99.1%	1	`n`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.1%	1	`k`
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.1%	1	`n`
99.1%	1	`k`
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.1%	1	`n`
99.2%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.2%	1	`k`
99.2%	1	`n`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.3%	1	`k`
99.3%	1	`n`

Compiler

Compiled 2 120 to 618 computations (70.8% saved)

bsearch17.0ms (0.1%)

Memory

-25.3MiB live, 21.8MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.378613263833382e-42	9.011580242738858e-41

Samples

10.0ms

112×

valid

Compiler

Compiled 355 to 291 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow: 4.0ms (52.4% of total)

ival-sqrt: 1.0ms (13.1% of total)

ival-div!: 1.0ms (13.1% of total)

ival-mult!: 1.0ms (13.1% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0269729741351464e+296	+inf
0.0ms	0.0	1.1522769029521955e-132

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.010320301419688e-124	2.970430059044331e-111

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch61.0ms (0.5%)

Memory

-11.7MiB live, 45.3MiB allocated; 48ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.878913061337738e+164	5.18123572223864e+166
11.0ms	2.720210481196943e-32	2.8775591210171676e-31

Samples

49.0ms

224×

valid

Compiler

Compiled 897 to 682 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 36.0ms (81.1% of total)

ival-pow: 4.0ms (9% of total)

ival-div!: 2.0ms (4.5% of total)

ival-mult!: 2.0ms (4.5% of total)

ival-sub!: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.878913061337738e+164	5.18123572223864e+166
1.0ms	2.720210481196943e-32	2.8775591210171676e-31

Compiler

Compiled 933 to 688 computations (26.3% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.878913061337738e+164	5.18123572223864e+166
1.0ms	2.720210481196943e-32	2.8775591210171676e-31

Compiler

Compiled 837 to 640 computations (23.5% saved)

bsearch16.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.404659974406331e-60	3.381152207362162e-57

Samples

9.0ms

128×

valid

Compiler

Compiled 459 to 354 computations (22.9% saved)

Precisions

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

ival-pow: 3.0ms (46.7% of total)

ival-sqrt: 1.0ms (15.6% of total)

ival-div!: 1.0ms (15.6% of total)

ival-mult!: 1.0ms (15.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations9.0ms (0.1%)

Memory

-32.7MiB live, 17.2MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 810 to 155 computations (80.9% saved)

preprocess172.0ms (1.3%)

Memory: 9.1MiB live, 244.5MiB allocated; 21ms collecting garbage
Remove: (abs k)
Compiler: Compiled 2 446 to 1 120 computations (54.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze99.0ms (0.7%)

sample3.0s (21.9%)

preprocess82.0ms (0.6%)

series221.0ms (1.6%)

rewrite1.1s (8%)

eval385.0ms (2.8%)

prune67.0ms (0.5%)

series265.0ms (1.9%)

rewrite1.3s (9.5%)

eval1.3s (9.3%)

prune186.0ms (1.4%)

series399.0ms (2.9%)

rewrite2.1s (15.6%)

eval929.0ms (6.8%)

prune141.0ms (1%)

series325.0ms (2.4%)

rewrite401.0ms (2.9%)

eval269.0ms (2%)

prune52.0ms (0.4%)

regimes765.0ms (5.6%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch61.0ms (0.5%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch16.0ms (0.1%)

derivations9.0ms (0.1%)

preprocess172.0ms (1.3%)

end0.0ms (0%)

Profiling