Metrics for Migdal et al, Equation (51)

start0.0ms (0%)

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

analyze103.0ms (1.6%)

Memory

39.7MiB live, 132.3MiB allocated; 43ms 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 (45.7%)

Memory

93.4MiB live, 3 079.0MiB allocated; 1.2s collecting garbage

Samples

1.3s	5 466×	1	invalid
821.0ms	8 256×	0	valid
149.0ms	502×	2	invalid
79.0ms	353×	0	invalid
21.0ms	237×	0	exit

Precisions

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

ival-div!: 576.0ms (32.7% of total)

ival-pow: 474.0ms (26.9% of total)

adjust: 226.0ms (12.8% of total)

ival-mult!: 210.0ms (11.9% of total)

ival-sqrt: 203.0ms (11.5% of total)

ival-sub!: 76.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

Bogosity

preprocess67.0ms (1%)

Memory

-30.4MiB live, 55.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	104
1	108	90
2	345	88
3	1503	88

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.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))))

Compiler

Compiled 30 to 26 computations (13.3% saved)

series88.0ms (1.4%)

Memory

20.1MiB live, 126.8MiB allocated; 11ms 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))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx (- 1 k) #s(hole binary64 1))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1/2 k)))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k)))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k))))))
#s(approx (* (* 2 (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx n #s(hole binary64 n))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k))))))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	n	@	0	((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (PI) n (/ (- 1 k) 2) (- 1 k))
35.0ms	n	@	-inf	((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (PI) n (/ (- 1 k) 2) (- 1 k))
8.0ms	n	@	inf	((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (PI) n (/ (- 1 k) 2) (- 1 k))
2.0ms	k	@	0	((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (PI) n (/ (- 1 k) 2) (- 1 k))
2.0ms	k	@	-inf	((* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) 1 (sqrt k) k (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (PI) n (/ (- 1 k) 2) (- 1 k))

rewrite216.0ms (3.3%)

Memory

5.4MiB live, 237.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1003
0	181	956
1	765	852
0	6608	834

Stop Event

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

Counts

50 → 216

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)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx (- 1 k) #s(hole binary64 1))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1/2 k)))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k)))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k))))))
#s(approx (* (* 2 (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx n #s(hole binary64 n))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k))))))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (pow.f64 n (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (.f64 (pow.f64 n (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(.f64 (pow.f64 (sqrt.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)) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (sqrt.f64 k)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))
(neg.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (neg.f64 (sqrt.f64 k))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)) (/.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
(pow.f64 k #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 k) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 k #s(literal 1/4 binary64)) (pow.f64 k #s(literal 1/4 binary64)))
(pow.f64 k #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(sqrt.f64 k)
(exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))
k
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (pow.f64 n (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))) (fabs.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (pow.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) n) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (pow.f64 (.f64 (PI.f64) n) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))))
(*.f64 (pow.f64 n (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (pow.f64 n (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.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)) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k)))) (.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.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))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.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))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 #s(literal 1/2 binary64) k)))
(neg.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k)))
(+.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))) (cosh.f64 (.f64 (log.f64 (sqrt.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))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (+.f64 n n) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 (*.f64 (PI.f64) n))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(*.f64 (+.f64 n n) (PI.f64))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(pow.f64 (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)) (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))) (-.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n) (-.f64 (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)) (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)))))
(fma.f64 (.f64 n (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (PI.f64) n))
(fma.f64 (.f64 n (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) n))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (PI.f64) n))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))
(fma.f64 (.f64 (PI.f64) n) #s(literal 1 binary64) (.f64 (*.f64 (PI.f64) n) #s(literal 1 binary64)))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) n) (.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))
(sqrt.f64 (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(-.f64 (.f64 (PI.f64) n) (.f64 (neg.f64 (PI.f64)) n))
(-.f64 (.f64 (PI.f64) n) (.f64 (neg.f64 n) (PI.f64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (PI.f64) n) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) n) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (PI.f64) n)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) n)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (+.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (PI.f64) (.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64))))
(+.f64 (.f64 (PI.f64) #s(literal 1 binary64)) (.f64 (PI.f64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (PI.f64)))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
#s(literal 2 binary64)
(PI.f64)
n
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) k))
(/.f64 (-.f64 (.f64 (.f64 k k) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 k k) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) k)) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k k) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) k) (-.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k k) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 k k)) (.f64 (+.f64 k #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k) #s(literal 1/8 binary64)) (fma.f64 (.f64 k k) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) k))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (-.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k)) (*.f64 (+.f64 (fma.f64 k k k) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) k))) (/.f64 (.f64 (.f64 k k) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) k))))
(-.f64 (*.f64 #s(literal -1/2 binary64) k) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 k) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (-.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k)) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (-.f64 (*.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) k))
(/.f64 (-.f64 (*.f64 k k) #s(literal 1 binary64)) (-.f64 (neg.f64 k) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k))) (neg.f64 (+.f64 k #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k))) (neg.f64 (+.f64 (fma.f64 k k k) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 k #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k)) (fma.f64 k k (+.f64 k #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k)) (+.f64 (fma.f64 k k k) #s(literal 1 binary64)))
(neg.f64 (+.f64 k #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) k))
(fma.f64 (neg.f64 k) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) k #s(literal 1 binary64))
(fma.f64 k #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 k) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 k k k) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 k k) k) (+.f64 (fma.f64 k k k) #s(literal 1 binary64))))
(-.f64 (neg.f64 k) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 k) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) k)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 k k k) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 k k) (neg.f64 k)) (+.f64 (fma.f64 k k k) #s(literal 1 binary64))))
(+.f64 (neg.f64 k) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 k (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal 1/8 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)) k (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (fma.f64 k (/.f64 (fma.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal -1/48 binary64))) (sqrt.f64 k)) (.f64 (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))) k (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) 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)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (.f64 k (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (-.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal 1/8 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (-.f64 (.f64 (fma.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal -1/48 binary64))) k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
#s(approx (- 1 k) #s(literal 1 binary64))
#s(approx (- 1 k) (-.f64 #s(literal 1 binary64) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (/.f64 k (sqrt.f64 k))))
#s(approx (/ 1 (sqrt k)) (/.f64 (sqrt.f64 k) k))
#s(approx (sqrt k) (/.f64 k (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
#s(approx (/ (- 1 k) 2) (*.f64 #s(literal -1/2 binary64) k))
#s(approx (/ (- 1 k) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) k) #s(literal 1/2 binary64)) k))
#s(approx (- 1 k) (neg.f64 k))
#s(approx (- 1 k) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64)) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (/.f64 (neg.f64 k) (sqrt.f64 k))))
#s(approx (/ 1 (sqrt k)) (neg.f64 (/.f64 (sqrt.f64 k) k)))
#s(approx (sqrt k) (/.f64 (neg.f64 k) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
#s(approx (/ (- 1 k) 2) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k)) (neg.f64 k)))
#s(approx (- 1 k) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k)) (neg.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (* 2 (PI)) n) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx n n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))))))

eval42.0ms (0.6%)

Memory: -69.3MiB live, 86.5MiB allocated; 43ms collecting garbage
Compiler: Compiled 2 273 to 825 computations (63.7% saved)

prune15.0ms (0.2%)

Memory

-14.5MiB live, 31.6MiB allocated; 5ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	187	15	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	15	203

Accuracy

100.0%

Counts

203 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))
	99.4%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 (.f64 (PI.f64) n)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
▶	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 1/2 binary64) k))))
	96.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
▶	99.6%	(.f64 (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))))
	99.6%	(.f64 #s(approx (/ 1 (sqrt k)) (/.f64 (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))))
	46.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal 1/8 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 k)) k (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k))))
	49.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 k (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 k)))
▶	99.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (/.f64 k (sqrt.f64 k))))
	96.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))))) (sqrt.f64 k)))
▶	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))

Compiler

Compiled 684 to 552 computations (19.3% saved)

series250.0ms (3.9%)

Memory

36.8MiB live, 479.8MiB allocated; 115ms collecting garbage

Counts

36 → 121

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))) (sqrt k))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))) (sqrt k))))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (+ (* -1/16 (/ (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/48 (/ (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI))))) (sqrt k))))))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))) (sqrt k))))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1/2 (* k (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (- (* -1 (* k (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (+ (* -1/16 (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI)))))) (* 1/48 (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI)))))))))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 1))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/8 (* k (pow (log (* 2 (* n (PI)))) 2))) (* 1/2 (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/2 (log (* 2 (* n (PI))))) (* k (+ (* 1/48 (* k (pow (log (* 2 (* n (PI)))) 3))) (* 1/8 (pow (log (* 2 (* n (PI)))) 2)))))))))
#s(approx (* 1/2 k) #s(hole binary64 (* 1/2 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (/ (* (+ (PI) (PI)) n) k) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ k (sqrt k))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (sqrt (/ 1 k)) #s(hole binary64 (/ (sqrt k) k)))
#s(approx (/ 1 k) #s(hole binary64 (/ 1 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 3) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 3) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (exp (* 1/2 (* k (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ 1 (sqrt (/ 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (sqrt (/ 1 k)) #s(hole binary64 (sqrt (/ 1 k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1/2 k)))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (sqrt (* 2 (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k))))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ -1 (sqrt (/ 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k)))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (+ 1 (* -1 k)))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (* (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))) (sqrt k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))))))
#s(approx (* (+ (PI) (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx n #s(hole binary64 n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (pow (sqrt (PI)) 2)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (pow (sqrt (PI)) 2)))) (- 1 k))))))
#s(approx (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* 2 (* n (pow (sqrt (PI)) 2)))))
#s(approx (* (+ n n) (sqrt (PI))) #s(hole binary64 (* 2 (* n (sqrt (PI))))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (sqrt k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (pow (sqrt (PI)) 2))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (pow (sqrt (PI)) 2))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* n (sqrt (* 2 (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))) (sqrt k))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* -1 (/ (* n (sqrt (* 2 (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (pow (sqrt (PI)) 2))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (pow (sqrt (PI)) 2))) (* -1 (log (/ -1 n)))) (- 1 k))))))

Calls

6 calls:

Time	Variable		Point	Expression
110.0ms	n	@	0	((* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt (* (+ (PI) (PI)) n)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (- 1 k) (/ k (sqrt k)) (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (* (+ n n) (sqrt (PI))) (+ n n) (sqrt (PI)))
51.0ms	n	@	-inf	((* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt (* (+ (PI) (PI)) n)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (- 1 k) (/ k (sqrt k)) (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (* (+ n n) (sqrt (PI))) (+ n n) (sqrt (PI)))
46.0ms	n	@	inf	((* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt (* (+ (PI) (PI)) n)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (- 1 k) (/ k (sqrt k)) (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (* (+ n n) (sqrt (PI))) (+ n n) (sqrt (PI)))
21.0ms	k	@	inf	((* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt (* (+ (PI) (PI)) n)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (- 1 k) (/ k (sqrt k)) (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (* (+ n n) (sqrt (PI))) (+ n n) (sqrt (PI)))
8.0ms	k	@	0	((* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt (* (+ (PI) (PI)) n)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (- 1 k) (/ k (sqrt k)) (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ 1 k)) (/ 1 k) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) 2 (/ (- 1 k) 2) (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (* (+ n n) (sqrt (PI))) (+ n n) (sqrt (PI)))

rewrite215.0ms (3.3%)

Memory

-2.8MiB live, 333.7MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	4858
0	651	4202
1	3185	4010
0	8864	3932

Stop Event

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

Counts

157 → 519

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 1/2 binary64) k))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 #s(literal 1/2 binary64) 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
(pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 1/2 binary64) k))
(*.f64 #s(literal 1/2 binary64) k)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
(sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k))
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (/.f64 k (sqrt.f64 k))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (/.f64 k (sqrt.f64 k)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k))
(-.f64 #s(literal 1 binary64) k)
(/.f64 k (sqrt.f64 k))
(.f64 (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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.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 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))
(+.f64 n n)
(sqrt.f64 (PI.f64))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))) (sqrt k))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))) (sqrt k))))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (+ (* -1/16 (/ (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/48 (/ (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI))))) (sqrt k))))))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))) (sqrt k))))) (/ (sqrt (* 2 (* n (PI)))) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1/2 (* k (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (- (* -1 (* k (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (+ (* -1/16 (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI)))))) (* 1/48 (* (pow (log (* 2 (* n (PI)))) 3) (sqrt (* 2 (* n (PI)))))))))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (sqrt (* 2 (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (sqrt (* 2 (* n (PI)))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 1))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/8 (* k (pow (log (* 2 (* n (PI)))) 2))) (* 1/2 (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/2 (log (* 2 (* n (PI))))) (* k (+ (* 1/48 (* k (pow (log (* 2 (* n (PI)))) 3))) (* 1/8 (pow (log (* 2 (* n (PI)))) 2)))))))))
#s(approx (* 1/2 k) #s(hole binary64 (* 1/2 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (/ (* (+ (PI) (PI)) n) k) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ k (sqrt k))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2)))))))) (* (sqrt k) (pow (* 2 (* n (PI))) 1/2))) k)))
#s(approx (sqrt (/ 1 k)) #s(hole binary64 (/ (sqrt k) k)))
#s(approx (/ 1 k) #s(hole binary64 (/ 1 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 3) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2) (sqrt k)))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 3) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (pow (sqrt (PI)) 2)))) 2) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))))) (pow (* 2 (* n (pow (sqrt (PI)) 2))) 1/2))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (exp (* 1/2 (* k (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ 1 (sqrt (/ 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (sqrt (/ 1 k)) #s(hole binary64 (sqrt (/ 1 k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1/2 k)))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (sqrt (* 2 (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k))))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (/ k (sqrt k)) #s(hole binary64 (/ -1 (sqrt (/ 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k)))))))
#s(approx (/ (- 1 k) 2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (log (* 2 (* n (pow (sqrt (PI)) 2)))) (+ 1 (* -1 k)))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (* (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))) (sqrt k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))))))
#s(approx (* (+ (PI) (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx n #s(hole binary64 n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (pow (sqrt (PI)) 2)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log n) (log (* 2 (pow (sqrt (PI)) 2)))) (- 1 k))))))
#s(approx (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) #s(hole binary64 (* 2 (* n (pow (sqrt (PI)) 2)))))
#s(approx (* (+ n n) (sqrt (PI))) #s(hole binary64 (* 2 (* n (sqrt (PI))))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (sqrt k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (pow (sqrt (PI)) 2))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* 2 (pow (sqrt (PI)) 2))) (* -1 (log (/ 1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* n (sqrt (* 2 (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))) (sqrt k))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* -1 (/ (* n (sqrt (* 2 (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt (/ 1 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (pow (sqrt (PI)) 2))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (pow (* (* (+ n n) (sqrt (PI))) (sqrt (PI))) (/ (- 1 k) 2)) #s(hole binary64 (exp (* 1/2 (* (+ (log (* -2 (pow (sqrt (PI)) 2))) (* -1 (log (/ -1 n)))) (- 1 k))))))

Outputs
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 n (.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)) (sqrt.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64)))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
(pow.f64 k #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 k) #s(literal 1 binary64))
(pow.f64 k #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k)))
(sqrt.f64 k)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))
k
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 n) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 n) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 n (.f64 #s(literal 1/2 binary64) k))))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))))
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))))
(*.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 n) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 n n) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1 binary64))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
(PI.f64)
n
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (+.f64 n n) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (.f64 (PI.f64) n) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (.f64 (PI.f64) n) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 n (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k)))
(pow.f64 (exp.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 #s(literal 1/2 binary64) k))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (+.f64 n n) (PI.f64))) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))))
(pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (*.f64 #s(literal 1/2 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))))
(*.f64 #s(literal 1/2 binary64) k)
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (pow.f64 (/.f64 n k) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)))
(pow.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (fabs.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) n) k))
(pow.f64 (.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 (.f64 (PI.f64) n))) (neg.f64 k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 k) (.f64 (neg.f64 k) (neg.f64 (.f64 (PI.f64) n)))) (.f64 k k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) k (.f64 (neg.f64 k) (.f64 (PI.f64) n))) (.f64 (neg.f64 k) k))
(/.f64 (fma.f64 (.f64 (PI.f64) n) (neg.f64 k) (.f64 k (neg.f64 (.f64 (PI.f64) n)))) (.f64 k (neg.f64 k)))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) n) (.f64 (-.f64 (PI.f64) (PI.f64)) k))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) n) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) k))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64))) (neg.f64 k))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))
(/.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (sqrt.f64 k) (sqrt.f64 k)))
(/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)
(fma.f64 n (/.f64 (PI.f64) k) (/.f64 (*.f64 (PI.f64) n) k))
(sqrt.f64 (.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
(+.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (neg.f64 (/.f64 k (sqrt.f64 k)))))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) (neg.f64 (/.f64 k (sqrt.f64 k))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 k (sqrt.f64 k)))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 k (sqrt.f64 k))) (/.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 k (sqrt.f64 k))))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 n) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (+.f64 n n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) k)) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k))) (neg.f64 (+.f64 #s(literal 1 binary64) k)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k (*.f64 #s(literal 1 binary64) k)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 #s(literal 1 binary64) k))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k (*.f64 #s(literal 1 binary64) k))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) k)) (/.f64 (*.f64 k k) (+.f64 #s(literal 1 binary64) k)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k (.f64 #s(literal 1 binary64) k)))) (/.f64 (.f64 (.f64 k k) k) (+.f64 #s(literal 1 binary64) (fma.f64 k k (.f64 #s(literal 1 binary64) k)))))
(-.f64 #s(literal 1 binary64) k)
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 k) (neg.f64 (sqrt.f64 k)))
(/.f64 k (sqrt.f64 k))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) (sqrt.f64 k)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
(pow.f64 k #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) #s(literal -1 binary64)))
(pow.f64 k #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 k))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 k)))
(/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) k)
(exp.f64 (*.f64 (log.f64 k) #s(literal -1 binary64)))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 n) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (+.f64 n n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) k)) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1 binary64))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 k #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 k #s(literal 2 binary64)) (/.f64 k #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) k)) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) (sqrt.f64 k)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) (sqrt.f64 k))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 n) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (+.f64 n n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) k)) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1 binary64))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) n) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))
(*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) n))
(fma.f64 (sqrt.f64 (PI.f64)) n (*.f64 (sqrt.f64 (PI.f64)) n))
(fma.f64 n (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) n))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (sqrt.f64 (PI.f64)) n))
(*.f64 #s(literal 2 binary64) n)
(*.f64 n #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 n n) (.f64 n n))) (neg.f64 (-.f64 n n)))
(/.f64 (neg.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n))) (neg.f64 (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n)))))
(/.f64 (-.f64 (.f64 n n) (.f64 n n)) (-.f64 n n))
(/.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n)) (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n))))
(-.f64 (/.f64 (.f64 n n) (-.f64 n n)) (/.f64 (.f64 n n) (-.f64 n n)))
(+.f64 (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))) (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))))
(+.f64 n n)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (fma.f64 k (fma.f64 (neg.f64 k) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/8 binary64)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 k) (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/8 binary64)) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/8 binary64))) k (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/2 binary64))) k (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.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 (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 k (-.f64 (.f64 (neg.f64 k) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/8 binary64))) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 k) (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/8 binary64))) k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) k (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(literal 1 binary64))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) k #s(literal 1 binary64)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 k (fma.f64 k (fma.f64 (.f64 #s(literal 1/48 binary64) k) (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) #s(literal 1 binary64)))
#s(approx (* 1/2 k) (*.f64 #s(literal 1/2 binary64) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) (sqrt.f64 k)) k (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (fma.f64 k (/.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (sqrt.f64 k)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/2 binary64))) k (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (PI.f64) n) k) #s(literal 2 binary64))) k))
#s(approx (/ (* (+ (PI) (PI)) n) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (/.f64 (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (/.f64 (fma.f64 k (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (/.f64 (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/6 binary64) k) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))))) k (sqrt.f64 (.f64 (*.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/6 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (- 1 k) (+.f64 (neg.f64 k) #s(literal 1 binary64)))
#s(approx (/ k (sqrt k)) (/.f64 k (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) k) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (*.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 k (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) k) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)))) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (*.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (/ 1 (sqrt k)) (/.f64 (sqrt.f64 k) k))
#s(approx (/ 1 k) (/.f64 #s(literal 1 binary64) k))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) (sqrt.f64 k)) k (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (fma.f64 k (/.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (sqrt.f64 k)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal -1/2 binary64))) k (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 k (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) k)))
#s(approx (/ 1 (sqrt k)) (*.f64 (/.f64 #s(literal 1 binary64) k) (sqrt.f64 k)))
#s(approx (sqrt k) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (- 1 k) (neg.f64 k))
#s(approx (- 1 k) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64)) k))
#s(approx (/ k (sqrt k)) (sqrt.f64 k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n 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 (-.f64 (/.f64 #s(literal 1/2 binary64) k) #s(literal 1/2 binary64)) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) k))))
#s(approx (/ 1 (sqrt k)) (*.f64 (/.f64 #s(literal -1 binary64) k) (sqrt.f64 k)))
#s(approx (sqrt k) (*.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))
#s(approx (- 1 k) (*.f64 (neg.f64 k) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k))))
#s(approx (/ k (sqrt k)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))
#s(approx (/ (- 1 k) 2) (*.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))) (sqrt.f64 k))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64)))))))
#s(approx (* (+ (PI) (PI)) n) (*.f64 (+.f64 n n) (PI.f64)))
#s(approx n n)
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 (sqrt.f64 k) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (+ (PI) (PI)) n) (*.f64 (+.f64 n n) (PI.f64)))
#s(approx (* (+ n n) (sqrt (PI))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
#s(approx (+ n n) (+.f64 n n))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) (/.f64 n (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64))))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (.f64 n (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.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 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (neg.f64 (.f64 (/.f64 n (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))))
#s(approx (/ (sqrt (* (+ (PI) (PI)) n)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (neg.f64 (.f64 n (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* (+ (PI) (PI)) n)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (neg.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
#s(approx (/ (pow (sqrt (* (+ (PI) (PI)) n)) (- 1 k)) (/ k (sqrt k))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))

eval80.0ms (1.2%)

Memory: 47.4MiB live, 189.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 813 to 1 947 computations (71.4% saved)

prune79.0ms (1.2%)

Memory

-5.5MiB live, 87.6MiB allocated; 6ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	493	19	512
Fresh	7	3	10
Picked	4	1	5
Done	0	0	0
Total	504	23	527

Accuracy

100.0%

Counts

527 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))
	99.6%	(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
	79.0%	(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64)))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 #s(literal 1/2 binary64) k))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)))))
	96.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	48.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
	48.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 k)))
	35.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
	96.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 k (sqrt.f64 k))))
▶	94.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k)))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k))))
✓	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	21.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))))
▶	38.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)))
	23.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64)))) k)))
	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))))
▶	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	27.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))))
	36.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 1/2 binary64))))
▶	46.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))

Compiler

Compiled 936 to 885 computations (5.4% saved)

series146.0ms (2.3%)

Memory

-9.2MiB live, 352.9MiB allocated; 58ms collecting garbage

Counts

42 → 101

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))) (sqrt k))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (+ (* -1/16 (/ (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/48 (/ (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* (sqrt 2) (sqrt (* n (PI))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (+ (* -1/16 (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/48 (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI)))))))))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 1))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/8 (* k (pow (log (* 2 (* n (PI)))) 2))) (* 1/2 (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/2 (log (* 2 (* n (PI))))) (* k (+ (* 1/48 (* k (pow (log (* 2 (* n (PI)))) 3))) (* 1/8 (pow (log (* 2 (* n (PI)))) 2)))))))))
#s(approx (* 1/2 k) #s(hole binary64 (* 1/2 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (* (+ (PI) (PI)) (/ n k)) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ n k) #s(hole binary64 (/ n k)))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (* k (PI)) n)))) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* k (PI)) n))) k)))
#s(approx (/ (+ (PI) (PI)) (* n k)) #s(hole binary64 (* 2 (/ (PI) (* k n)))))
#s(approx (* n k) #s(hole binary64 (* k n)))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (pow (sqrt (PI)) 2))))) k)))
#s(approx (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) #s(hole binary64 (* 2 (/ (* n (pow (sqrt (PI)) 2)) k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (exp (* 1/2 (* k (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (sqrt (* 2 (/ (PI) (* k n))))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (sqrt (* 2 (/ (* n (pow (sqrt (PI)) 2)) k)))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k))))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))) (sqrt k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (sqrt (* n (PI)))))
#s(approx (* (PI) n) #s(hole binary64 (* n (PI))))
#s(approx n #s(hole binary64 n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI)))))))))
#s(approx (* (+ (PI) (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* n (PI)) k))) n)))
#s(approx (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) #s(hole binary64 (* 2 (* n (pow (sqrt (PI)) 2)))))
#s(approx (* (sqrt (PI)) (+ n n)) #s(hole binary64 (* 2 (* n (sqrt (PI))))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (sqrt k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) #s(hole binary64 (* n (* (sqrt 2) (sqrt (/ (PI) n))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (* n (sqrt (/ (PI) n)))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (* n (sqrt (* 2 (/ (pow (sqrt (PI)) 2) (* k n)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))) (sqrt k))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* -1 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) #s(hole binary64 (* -1 (* n (* (sqrt 2) (sqrt (/ (PI) n)))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (* -1 (* n (sqrt (/ (PI) n))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (pow (sqrt (PI)) 2) (* k n))))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	n	@	-inf	((* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (* (sqrt (* (PI) n)) (sqrt 2)) (sqrt (* (PI) n)) (* (PI) n) (PI) n (sqrt 2) 2 (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (* n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (* (sqrt (PI)) (+ n n)) (sqrt (PI)) (+ n n) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (+ n n) (PI)) (- 1 k))
33.0ms	n	@	inf	((* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (* (sqrt (* (PI) n)) (sqrt 2)) (sqrt (* (PI) n)) (* (PI) n) (PI) n (sqrt 2) 2 (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (* n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (* (sqrt (PI)) (+ n n)) (sqrt (PI)) (+ n n) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (+ n n) (PI)) (- 1 k))
28.0ms	n	@	0	((* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (* (sqrt (* (PI) n)) (sqrt 2)) (sqrt (* (PI) n)) (* (PI) n) (PI) n (sqrt 2) 2 (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (* n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (* (sqrt (PI)) (+ n n)) (sqrt (PI)) (+ n n) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (+ n n) (PI)) (- 1 k))
16.0ms	k	@	0	((* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (* (sqrt (* (PI) n)) (sqrt 2)) (sqrt (* (PI) n)) (* (PI) n) (PI) n (sqrt 2) 2 (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (* n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (* (sqrt (PI)) (+ n n)) (sqrt (PI)) (+ n n) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (+ n n) (PI)) (- 1 k))
10.0ms	k	@	-inf	((* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (* (sqrt (* (PI) n)) (sqrt 2)) (sqrt (* (PI) n)) (* (PI) n) (PI) n (sqrt 2) 2 (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (* 1/2 k) 1/2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (* n k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (* (sqrt (PI)) (+ n n)) (sqrt (PI)) (+ n n) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (+ n n) (PI)) (- 1 k))

rewrite226.0ms (3.5%)

Memory

-5.9MiB live, 296.2MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	3800
0	563	3426
1	2356	3273
0	9015	3233

Stop Event

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

Counts

143 → 470

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (.f64 #s(literal 1/2 binary64) k))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(+.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) k)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (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 (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n))
(.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)
(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))) (sqrt.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)))
(sqrt.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))
(sqrt.f64 (PI.f64))
(+.f64 n n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))
(sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))
(*.f64 (+.f64 n n) (PI.f64))
(-.f64 #s(literal 1 binary64) k)
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))) (sqrt k))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (+ (* -1/16 (/ (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/48 (/ (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))))) (+ (* -1/4 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k)))))) (* 1/2 (/ (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))) (sqrt k))))) (/ (* (sqrt 2) (sqrt (* n (PI)))) (sqrt k)))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (sqrt k))))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* (sqrt 2) (sqrt (* n (PI))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* k (- (* -1 (* k (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (+ (* k (- (* k (- (* -1 (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (+ (* -1/16 (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/48 (* (pow (log (* 2 (* n (PI)))) 3) (* (sqrt 2) (sqrt (* n (PI)))))))))) (+ (* -1/4 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI)))))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (* (sqrt 2) (sqrt (* n (PI))))))))) (* 1/2 (* (log (* 2 (* n (PI)))) (* (sqrt 2) (sqrt (* n (PI)))))))) (* (sqrt 2) (sqrt (* n (PI)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 1))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/8 (* k (pow (log (* 2 (* n (PI)))) 2))) (* 1/2 (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (+ 1 (* k (+ (* 1/2 (log (* 2 (* n (PI))))) (* k (+ (* 1/48 (* k (pow (log (* 2 (* n (PI)))) 3))) (* 1/8 (pow (log (* 2 (* n (PI)))) 2)))))))))
#s(approx (* 1/2 k) #s(hole binary64 (* 1/2 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (* (+ (PI) (PI)) (/ n k)) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ n k) #s(hole binary64 (/ n k)))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (* k (PI)) n)))) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* k (PI)) n))) k)))
#s(approx (/ (+ (PI) (PI)) (* n k)) #s(hole binary64 (* 2 (/ (PI) (* k n)))))
#s(approx (* n k) #s(hole binary64 (* k n)))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (pow (sqrt (PI)) 2))))) k)))
#s(approx (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) #s(hole binary64 (* 2 (/ (* n (pow (sqrt (PI)) 2)) k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (- 1 k) #s(hole binary64 (+ 1 (* -1 k))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k)))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ 1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (exp (* 1/2 (* k (log (* 2 (* n (PI))))))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (log (* 2 (* n (PI)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (sqrt (* 2 (/ (PI) (* k n))))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (sqrt (* 2 (/ (* n (pow (sqrt (PI)) 2)) k)))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (- 1 k) #s(hole binary64 (* -1 k)))
#s(approx (- 1 k) #s(hole binary64 (* k (- (/ 1 k) 1))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* k (* (exp (* 1/2 (* k (log (* 2 (* n (PI))))))) (sqrt (/ 1 k))))))))
#s(approx (/ 1 (sqrt k)) #s(hole binary64 (/ -1 (* k (sqrt (/ 1 k))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (- 1 k) #s(hole binary64 (* -1 (* k (- 1 (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (* (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))) (sqrt k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* (sqrt 2) (sqrt (* n (PI)))) (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI))))))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (sqrt (* n (PI)))))
#s(approx (* (PI) n) #s(hole binary64 (* n (PI))))
#s(approx n #s(hole binary64 n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log n) (log (* 2 (PI)))))))))
#s(approx (* (+ (PI) (PI)) n) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* n (PI)) k))) n)))
#s(approx (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) #s(hole binary64 (* 2 (* n (pow (sqrt (PI)) 2)))))
#s(approx (* (sqrt (PI)) (+ n n)) #s(hole binary64 (* 2 (* n (sqrt (PI))))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))) (sqrt k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) #s(hole binary64 (* n (* (sqrt 2) (sqrt (/ (PI) n))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (* n (sqrt (/ (PI) n)))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (* n (sqrt (* 2 (/ (pow (sqrt (PI)) 2) (* k n)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) #s(hole binary64 (* -1 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (* (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))) (sqrt k))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) #s(hole binary64 (* -1 (/ (* n (* (sqrt 2) (sqrt (/ (PI) n)))) (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) #s(hole binary64 (* -1 (* n (* (sqrt 2) (sqrt (/ (PI) n)))))))
#s(approx (sqrt (* (PI) n)) #s(hole binary64 (* -1 (* n (sqrt (/ (PI) n))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(hole binary64 (exp (* 1/2 (* k (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (pow (sqrt (PI)) 2) (* k n))))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))

Outputs
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 n (.f64 #s(literal 1/2 binary64) k))))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64)))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
(pow.f64 k #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 k) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 k #s(literal 1/2 binary64))
(sqrt.f64 k)
(exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))
k
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 n (.f64 #s(literal 1/2 binary64) k))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (sqrt.f64 (.f64 (PI.f64) n)) (pow.f64 n (.f64 #s(literal 1/2 binary64) k))))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))))
(pow.f64 (.f64 (+.f64 n n) (PI.f64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k))))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))))
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 n n)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n))
(pow.f64 (*.f64 (PI.f64) n) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (PI.f64) n))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) n)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) n)
(*.f64 n (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) n))
(PI.f64)
n
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 n n) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (.f64 (PI.f64) n) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (+.f64 n n) (*.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (.f64 (PI.f64) n) (.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 n (.f64 #s(literal 1/2 binary64) k)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) k)))
(.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)) (pow.f64 n (*.f64 #s(literal 1/2 binary64) k)))
(pow.f64 (exp.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 #s(literal 1/2 binary64) k))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (+.f64 n n) (PI.f64))) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) k) #s(literal 2 binary64))))
(pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (*.f64 #s(literal 1/2 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 #s(literal 1/2 binary64) k))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n) (-.f64 (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)) (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)))))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) k)
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)))
(pow.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 k))
(sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) n) k))
(pow.f64 (.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k) (-.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k)) (.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k)))))
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 (.f64 (PI.f64) n))) (neg.f64 k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 k) (.f64 (neg.f64 k) (neg.f64 (.f64 (PI.f64) n)))) (.f64 k k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) k (.f64 (neg.f64 k) (.f64 (PI.f64) n))) (.f64 (neg.f64 k) k))
(/.f64 (fma.f64 (.f64 (PI.f64) n) (neg.f64 k) (.f64 k (neg.f64 (.f64 (PI.f64) n)))) (.f64 k (neg.f64 k)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 k)) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (neg.f64 n) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 k) (-.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (neg.f64 n) (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 (neg.f64 k) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 n (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 k (-.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 n (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (.f64 k (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (neg.f64 n)) (.f64 (-.f64 (PI.f64) (PI.f64)) (neg.f64 k)))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) n) (.f64 (-.f64 (PI.f64) (PI.f64)) k))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (neg.f64 n)) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 k)))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) n) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) k))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (*.f64 (+.f64 n n) (PI.f64))) (neg.f64 k))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))
(/.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 (sqrt.f64 k) (sqrt.f64 k)))
(/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)
(fma.f64 n (/.f64 (PI.f64) k) (/.f64 (*.f64 (PI.f64) n) k))
(sqrt.f64 (.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k))
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 n) (neg.f64 k))
(/.f64 n k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n))
(.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)
(.f64 n (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 n k))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) (.f64 n k))))
(pow.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 n k))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (neg.f64 (*.f64 n k))))
(/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (*.f64 n k)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k))
(sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (PI.f64) n))
(*.f64 (/.f64 (PI.f64) k) (/.f64 #s(literal 2 binary64) n))
(.f64 (/.f64 (PI.f64) (.f64 n k)) #s(literal 2 binary64))
(*.f64 (/.f64 (PI.f64) n) (/.f64 #s(literal 2 binary64) k))
(.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 n k)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) (.f64 n k)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 n k)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) (.f64 n k)) (/.f64 (PI.f64) (.f64 n k)) (-.f64 (.f64 (/.f64 (PI.f64) (.f64 n k)) (/.f64 (PI.f64) (.f64 n k))) (.f64 (/.f64 (PI.f64) (.f64 n k)) (/.f64 (PI.f64) (.f64 n k))))))
(/.f64 (+.f64 (/.f64 (PI.f64) k) (/.f64 (PI.f64) k)) n)
(/.f64 (+.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (neg.f64 (*.f64 n k)))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) n (/.f64 (.f64 (PI.f64) n) k)) (.f64 n n))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) (neg.f64 (.f64 n k)) (.f64 n (neg.f64 (PI.f64)))) (.f64 n (neg.f64 (.f64 n k))))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) (.f64 n k) (.f64 (PI.f64) n)) (.f64 n (.f64 n k)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) n (.f64 (neg.f64 (.f64 n k)) (/.f64 (PI.f64) k))) (.f64 (neg.f64 (.f64 n k)) n))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 n k)) (.f64 (neg.f64 (.f64 n k)) (neg.f64 (PI.f64)))) (.f64 (neg.f64 (.f64 n k)) (neg.f64 (.f64 n k))))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (.f64 n k) (.f64 (neg.f64 (.f64 n k)) (PI.f64))) (.f64 (neg.f64 (.f64 n k)) (.f64 n k)))
(/.f64 (fma.f64 (PI.f64) n (.f64 (.f64 n k) (/.f64 (PI.f64) k))) (.f64 (.f64 n k) n))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (.f64 n k)) (.f64 (.f64 n k) (neg.f64 (PI.f64)))) (.f64 (.f64 n k) (neg.f64 (.f64 n k))))
(/.f64 (fma.f64 (PI.f64) (.f64 n k) (.f64 (.f64 (PI.f64) n) k)) (.f64 (.f64 n k) (.f64 n k)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (neg.f64 (*.f64 n k))))
(/.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (neg.f64 k))
(/.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 n k)))
(/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)
(/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) n) (/.f64 (cbrt.f64 (PI.f64)) k) (/.f64 (PI.f64) (.f64 n k)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) k) (/.f64 (cbrt.f64 (PI.f64)) n) (/.f64 (PI.f64) (.f64 n k)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) n) (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (PI.f64) (*.f64 n k)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) n) (/.f64 (PI.f64) (*.f64 n k)))
(+.f64 (/.f64 (/.f64 (PI.f64) n) k) (/.f64 (/.f64 (PI.f64) n) k))
(+.f64 (/.f64 (PI.f64) (.f64 n k)) (/.f64 (PI.f64) (.f64 n k)))
(*.f64 n k)
(*.f64 k n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) k)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) k) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (neg.f64 k)))
(/.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))) (sqrt.f64 k))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))) (neg.f64 k))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) n) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n))
(*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (PI.f64)) n))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) n) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) n) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (sqrt.f64 (PI.f64)) n) (-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (sqrt.f64 (PI.f64)) n)) (.f64 (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (sqrt.f64 (PI.f64)) n)))))
(fma.f64 (sqrt.f64 (PI.f64)) n (*.f64 (sqrt.f64 (PI.f64)) n))
(fma.f64 n (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) n))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) n) (.f64 (sqrt.f64 (PI.f64)) n))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) n)
(*.f64 n #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 n n) (.f64 n n))) (neg.f64 (-.f64 n n)))
(/.f64 (neg.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n))) (neg.f64 (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n)))))
(/.f64 (-.f64 (.f64 n n) (.f64 n n)) (-.f64 n n))
(/.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n)) (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n))))
(-.f64 (/.f64 (.f64 n n) (-.f64 n n)) (/.f64 (.f64 n n) (-.f64 n n)))
(+.f64 (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))) (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))))
(+.f64 n n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 (sqrt.f64 k) k)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 (sqrt.f64 k) k))
(.f64 (sqrt.f64 k) (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))) (neg.f64 k))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)) k)
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) k))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) (neg.f64 k))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) k) (/.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) k))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 n n)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (+.f64 n n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (+.f64 n n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (.f64 (PI.f64) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (pow.f64 n (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) k)) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) (.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k)))
(/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 n n)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n) (-.f64 (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)) (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)))))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k))) (neg.f64 (+.f64 #s(literal 1 binary64) k)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k (*.f64 #s(literal 1 binary64) k)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 #s(literal 1 binary64) k))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 k k) k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k (*.f64 #s(literal 1 binary64) k))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) k)) (/.f64 (*.f64 k k) (+.f64 #s(literal 1 binary64) k)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k (.f64 #s(literal 1 binary64) k)))) (/.f64 (.f64 (.f64 k k) k) (+.f64 #s(literal 1 binary64) (fma.f64 k k (.f64 #s(literal 1 binary64) k)))))
(-.f64 #s(literal 1 binary64) k)
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (fma.f64 k (fma.f64 (neg.f64 k) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/8 binary64)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 k) (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/8 binary64)) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/8 binary64))) k (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
#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 (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 k (-.f64 (.f64 (neg.f64 k) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) #s(literal -1/8 binary64))) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 k) (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64))) #s(literal -1/24 binary64)))) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) #s(literal -1/8 binary64))) k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))))) k (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) #s(literal 1 binary64))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) k #s(literal 1 binary64)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 k (fma.f64 k (fma.f64 (.f64 #s(literal 1/48 binary64) k) (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/8 binary64))) (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))) #s(literal 1 binary64)))
#s(approx (* 1/2 k) (*.f64 #s(literal 1/2 binary64) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 k)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) k) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 k)) k (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (fma.f64 (fma.f64 k (/.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (pow.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 3 binary64))) k) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) #s(literal 1/8 binary64))) (sqrt.f64 k)) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 (.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (PI.f64) n) k) #s(literal 2 binary64))) k))
#s(approx (* (+ (PI) (PI)) (/ n k)) (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))
#s(approx (/ n k) (/.f64 n k))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (PI.f64) k) n) #s(literal 2 binary64))) n) k))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k))
#s(approx (/ (+ (PI) (PI)) (* n k)) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k)))
#s(approx (* n k) (*.f64 n k))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (PI.f64) n) k) #s(literal 2 binary64))) k))
#s(approx (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k) (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 k (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/6 binary64) k) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k))))) k (sqrt.f64 (.f64 (*.f64 (+.f64 n n) (PI.f64)) k))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 k (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 k (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/6 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 k (fma.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 k (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 (.f64 (+.f64 n n) (PI.f64))) (log.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) k) #s(literal -1/6 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))) (sqrt.f64 (.f64 (+.f64 n n) (PI.f64)))))) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
#s(approx (- 1 k) (+.f64 (neg.f64 k) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) k)))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (sqrt k) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64)))))))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (- 1 k) (neg.f64 k))
#s(approx (- 1 k) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1 binary64)) k))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) k))))
#s(approx (/ 1 (sqrt k)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (sqrt k) (*.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))
#s(approx (- 1 k) (*.f64 (neg.f64 k) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k))))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))) (sqrt.f64 k))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (/.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64)))))))
#s(approx (sqrt (* (PI) n)) (sqrt.f64 (*.f64 (PI.f64) n)))
#s(approx (* (PI) n) (*.f64 (PI.f64) n))
#s(approx n n)
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 n n) (PI.f64))))))
#s(approx (* (+ (PI) (PI)) n) (*.f64 (+.f64 n n) (PI.f64)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (*.f64 (/.f64 n k) (+.f64 (PI.f64) (PI.f64)))) n))
#s(approx (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) (*.f64 (+.f64 n n) (PI.f64)))
#s(approx (* (sqrt (PI)) (+ n n)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)))
#s(approx (+ n n) (+.f64 n n))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) (/.f64 (sqrt.f64 k) k)))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (.f64 (/.f64 n (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k)))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (.f64 n (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n))
#s(approx (sqrt (* (PI) n)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) n)) n))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) k) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n))
#s(approx (* (/ 1 (sqrt k)) (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k)))) (neg.f64 (.f64 (/.f64 n (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))))))
#s(approx (/ (* (sqrt (* (PI) n)) (sqrt 2)) (pow (* (+ (PI) (PI)) n) (* 1/2 k))) (neg.f64 (.f64 n (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64)))))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n)))
#s(approx (sqrt (* (PI) n)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) n)) n)))
#s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) k) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (neg.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
#s(approx (sqrt (/ (* (* (sqrt (PI)) (+ n n)) (sqrt (PI))) k)) (neg.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (sqrt (* (PI) n)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n)))

eval50.0ms (0.8%)

Memory: 28.1MiB live, 118.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 357 to 2 070 computations (67.4% saved)

prune35.0ms (0.5%)

Memory

-13.6MiB live, 86.0MiB allocated; 7ms collecting garbage

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	410	17	427
Fresh	2	15	17
Picked	0	5	5
Done	0	1	1
Total	412	38	450

Accuracy

100.0%

Counts

450 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))
▶	99.6%	(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
	79.0%	(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (+.f64 n n) (PI.f64)))) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (.f64 #s(literal 1/2 binary64) k)))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (*.f64 #s(literal 1/2 binary64) k))))
	48.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (pow ( (+ (PI) (PI)) n) (* 1/2 k)) #s(literal 1 binary64))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)))))
	96.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	48.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
	48.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))) (sqrt.f64 k)))
	74.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) k)))
	35.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
✓	94.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k)))
	92.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k)))
▶	44.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k) (sqrt.f64 k)))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))
✓	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	21.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))))
✓	38.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)))
	23.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64)))) k)))
▶	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))))
✓	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	38.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k))))
	27.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))))
	36.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 1/2 binary64))))
	49.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)) n)))
	46.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (.f64 n k))) n)))
	46.2%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 n k))) (sqrt.f64 #s(literal 2 binary64))) n)))
	33.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) k) (.f64 n k) (.f64 (PI.f64) n)) (.f64 n (*.f64 n k)))) n)))
	37.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) k) n (/.f64 (.f64 (PI.f64) n) k)) (*.f64 n n))) n)))
	31.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (.f64 n k) (.f64 (.f64 (PI.f64) n) k)) (.f64 (.f64 n k) (*.f64 n k)))) n)))
	44.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) n)))
✓	46.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
	44.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) n) (/.f64 #s(literal 2 binary64) k))) n)))
▶	44.2%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))) #s(literal 1/2 binary64))) n)))
▶	50.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n)))
	50.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (PI.f64) k) n) #s(literal 2 binary64))) n) k))))

Compiler

Compiled 1 703 to 1 568 computations (7.9% saved)

series259.0ms (4%)

Memory

25.4MiB live, 485.3MiB allocated; 94ms collecting garbage

Counts

42 → 96

Calls

Call 1

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

Outputs
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx k #s(hole binary64 k))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (* (/ (* (PI) n) k) 2) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ (* (PI) n) k) #s(hole binary64 (/ (* n (PI)) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (* k (PI)) n)))) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* k (PI)) n))) k)))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (sqrt (* 2 (/ (* k (PI)) n)))))
#s(approx (* (/ (* (PI) k) n) 2) #s(hole binary64 (* 2 (/ (* k (PI)) n))))
#s(approx (/ (* (PI) k) n) #s(hole binary64 (/ (* k (PI)) n)))
#s(approx (* (PI) k) #s(hole binary64 (* k (PI))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) n))) (* -1 (log k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) n))) (* -1 (log k)))))
#s(approx (/ (+ (PI) (PI)) (* n k)) #s(hole binary64 (* 2 (/ (PI) (* k n)))))
#s(approx (* n k) #s(hole binary64 (* k n)))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (log (* 2 (* n (PI)))) (- 1/2 (* 1/2 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (log (* 2 (* n (PI)))) (- 1/2 (* 1/2 k))))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* -1/2 k)))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (sqrt (* 2 (/ (PI) (* k n))))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (* k (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) n))) (log (/ 1 k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) n))) (log (/ 1 k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (* -1 (/ (exp (* (log (* 2 (* n (PI)))) (+ 1/2 (* -1/2 k)))) (* k (sqrt (/ 1 k)))))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (log (* 2 (* n (PI)))) (+ 1/2 (* -1/2 k))))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) #s(hole binary64 (* -1 (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (* -1 (* k (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -2 (/ (PI) n))) (log (/ -1 k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* -2 (/ (PI) n))) (log (/ -1 k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log n) (log (* 2 (PI)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log n) (log (* 2 (PI))))))))
#s(approx (* (+ n n) (PI)) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx n #s(hole binary64 n))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (* (PI) n) #s(hole binary64 (* n (PI))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* n (PI)) k))) n)))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) (* k n))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) n)))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) k))) (* -1 (log n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) k))) (* -1 (log n)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) k))) (log (/ 1 n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) k))) (log (/ 1 n)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -2 (/ (PI) k))) (log (/ -1 n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* -2 (/ (PI) k))) (log (/ -1 n)))))

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	k	@	0	((/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2)) (* (+ n n) (PI)) (+ n n) n (PI) (+ (* -1/2 k) 1/2) -1/2 k 1/2 (sqrt k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (PI) n) 2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (sqrt (* (/ (* (PI) k) n) 2)) (* (/ (* (PI) k) n) 2) (/ (* (PI) k) n) (* (PI) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) n) (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (log (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (+ (PI) (PI)) (* n k))
61.0ms	n	@	inf	((/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2)) (* (+ n n) (PI)) (+ n n) n (PI) (+ (* -1/2 k) 1/2) -1/2 k 1/2 (sqrt k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (PI) n) 2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (sqrt (* (/ (* (PI) k) n) 2)) (* (/ (* (PI) k) n) 2) (/ (* (PI) k) n) (* (PI) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) n) (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (log (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (+ (PI) (PI)) (* n k))
50.0ms	n	@	-inf	((/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2)) (* (+ n n) (PI)) (+ n n) n (PI) (+ (* -1/2 k) 1/2) -1/2 k 1/2 (sqrt k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (PI) n) 2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (sqrt (* (/ (* (PI) k) n) 2)) (* (/ (* (PI) k) n) 2) (/ (* (PI) k) n) (* (PI) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) n) (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (log (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (+ (PI) (PI)) (* n k))
36.0ms	n	@	0	((/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2)) (* (+ n n) (PI)) (+ n n) n (PI) (+ (* -1/2 k) 1/2) -1/2 k 1/2 (sqrt k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (PI) n) 2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (sqrt (* (/ (* (PI) k) n) 2)) (* (/ (* (PI) k) n) 2) (/ (* (PI) k) n) (* (PI) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) n) (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (log (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (+ (PI) (PI)) (* n k))
23.0ms	k	@	-inf	((/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2)) (* (+ n n) (PI)) (+ n n) n (PI) (+ (* -1/2 k) 1/2) -1/2 k 1/2 (sqrt k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (PI) n) 2 (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt (* (+ n n) (PI))) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (sqrt (/ (+ (PI) (PI)) (* n k))) (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (sqrt (* (/ (* (PI) k) n) 2)) (* (/ (* (PI) k) n) 2) (/ (* (PI) k) n) (* (PI) k) (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt (/ (* (+ (PI) (PI)) n) k)) (* (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) n) (exp (* (log (/ (+ (PI) (PI)) (* n k))) 1/2)) (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (log (/ (+ (PI) (PI)) (* n k))) (/ (+ (PI) (PI)) (* n k)) (+ (PI) (PI)) (* n k))

rewrite223.0ms (3.4%)

Memory

-3.4MiB live, 226.7MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	3243
0	477	3047
1	1928	3008
0	8345	2978

Stop Event

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

Counts

138 → 428

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (+.f64 n n) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
(*.f64 (+.f64 n n) (PI.f64))
(+.f64 n n)
n
(PI.f64)
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
k
#s(literal 1/2 binary64)
(sqrt.f64 k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) n) k)
(*.f64 (PI.f64) n)
#s(literal 2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k) (sqrt.f64 k)))
(.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k) (sqrt.f64 k))
(/.f64 #s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k)
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64))))
(sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n))
(.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n)
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k))
(/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) k) n)
(*.f64 (PI.f64) k)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))) #s(literal 1/2 binary64))) n)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))) #s(literal 1/2 binary64))) n))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))) #s(literal 1/2 binary64))) n)
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) #s(literal 1/2 binary64))
(log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k)))
(/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 n k))
(+.f64 (PI.f64) (PI.f64))
(*.f64 n k)
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* -1/2 (/ (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* 1/8 (/ (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (+ (* k (+ (* -1/2 (/ (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))) (* k (+ (* -1/48 (/ (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2))) (sqrt k))) (* 1/8 (/ (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)) (sqrt k))))))) (/ (pow (* 2 (* n (PI))) 1/2) (sqrt k)))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (pow (* 2 (* n (PI))) 1/2)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* -1/2 (* k (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2)))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* 1/8 (* k (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2)))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (+ (* k (+ (* -1/2 (* (log (* 2 (* n (PI)))) (pow (* 2 (* n (PI))) 1/2))) (* k (+ (* -1/48 (* k (* (pow (log (* 2 (* n (PI)))) 3) (pow (* 2 (* n (PI))) 1/2)))) (* 1/8 (* (pow (log (* 2 (* n (PI)))) 2) (pow (* 2 (* n (PI))) 1/2))))))) (pow (* 2 (* n (PI))) 1/2))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 k))))
#s(approx k #s(hole binary64 k))
#s(approx (sqrt k) #s(hole binary64 (sqrt k)))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) k)))
#s(approx (* (/ (* (PI) n) k) 2) #s(hole binary64 (* 2 (/ (* n (PI)) k))))
#s(approx (/ (* (PI) n) k) #s(hole binary64 (/ (* n (PI)) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (sqrt k) (sqrt (* 2 (* n (PI))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (+ (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (* (sqrt k) (sqrt (* 2 (* n (PI))))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (* (sqrt k) (sqrt (* 2 (* n (PI)))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (* (sqrt k) (sqrt (* 2 (* n (PI))))))))))) (* (sqrt k) (sqrt (* 2 (* n (PI)))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (sqrt (* 2 (* n (PI)))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (sqrt (* 2 (* n (PI))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* -1 (* k (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* 1/2 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI))))))))))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (+ (sqrt (* 2 (* n (PI)))) (* k (+ (* -1 (* (log (sqrt (* 2 (* n (PI))))) (sqrt (* 2 (* n (PI)))))) (* k (+ (* -1/6 (* k (* (pow (log (sqrt (* 2 (* n (PI))))) 3) (sqrt (* 2 (* n (PI))))))) (* 1/2 (* (pow (log (sqrt (* 2 (* n (PI))))) 2) (sqrt (* 2 (* n (PI)))))))))))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (/ (* n (sqrt (* 2 (/ (* k (PI)) n)))) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* k (PI)) n))) k)))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (sqrt (* 2 (/ (* k (PI)) n)))))
#s(approx (* (/ (* (PI) k) n) 2) #s(hole binary64 (* 2 (/ (* k (PI)) n))))
#s(approx (/ (* (PI) k) n) #s(hole binary64 (/ (* k (PI)) n)))
#s(approx (* (PI) k) #s(hole binary64 (* k (PI))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) n))) (* -1 (log k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) n))) (* -1 (log k)))))
#s(approx (/ (+ (PI) (PI)) (* n k)) #s(hole binary64 (* 2 (/ (PI) (* k n)))))
#s(approx (* n k) #s(hole binary64 (* k n)))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (log (* 2 (* n (PI)))) (- 1/2 (* 1/2 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (log (* 2 (* n (PI)))) (- 1/2 (* 1/2 k))))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* -1/2 k)))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* k (- (* 1/2 (/ 1 k)) 1/2))))
#s(approx (sqrt k) #s(hole binary64 (* k (sqrt (/ 1 k)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (- 1 k)))) (* k (sqrt (/ 1 k))))))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (sqrt (* 2 (/ (* n (PI)) k)))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt (/ 1 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (sqrt (* 2 (/ (PI) (* k n))))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (* k (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) n))) (log (/ 1 k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) n))) (log (/ 1 k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (* -1 (/ (exp (* (log (* 2 (* n (PI)))) (+ 1/2 (* -1/2 k)))) (* k (sqrt (/ 1 k)))))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (log (* 2 (* n (PI)))) (+ 1/2 (* -1/2 k))))))
#s(approx (+ (* -1/2 k) 1/2) #s(hole binary64 (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))))
#s(approx (sqrt k) #s(hole binary64 (* -1 (* k (sqrt (/ 1 k))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (* -1 (/ (exp (* 1/2 (* (log (* 2 (* n (PI)))) (+ 1 (* -1 k))))) (* k (sqrt (/ 1 k)))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (* -1 (* (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) (sqrt (/ 1 k))))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k)))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (log (sqrt (* 2 (* n (PI))))) (+ 1 (* -1 k))))))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) #s(hole binary64 (* -1 (sqrt (* 2 (/ (PI) (* k n)))))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (* -1 (* k (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -2 (/ (PI) n))) (log (/ -1 k))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* -2 (/ (PI) n))) (log (/ -1 k)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log n) (log (* 2 (PI)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log n) (log (* 2 (PI))))))))
#s(approx (* (+ n n) (PI)) #s(hole binary64 (* 2 (* n (PI)))))
#s(approx (+ n n) #s(hole binary64 (* 2 n)))
#s(approx n #s(hole binary64 n))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 (PI)))) (- 1 k)))) (sqrt k))))
#s(approx (* (PI) n) #s(hole binary64 (* n (PI))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (log (sqrt (* 2 (* n (PI))))) (- 1 k))) (sqrt k)) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (/ (sqrt (* 2 (/ (* n (PI)) k))) n)))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) (* k n))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) #s(hole binary64 (/ (sqrt (* 2 (* k (* n (PI))))) n)))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) k))) (* -1 (log n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) k))) (* -1 (log n)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* 2 (PI))) (* -1 (log (/ 1 n))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* 2 (PI))) (* -1 (log (/ 1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ 1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* n (sqrt (* 2 (/ (PI) n))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* 2 (/ (PI) k))) (log (/ 1 n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* 2 (/ (PI) k))) (log (/ 1 n)))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) #s(hole binary64 (/ (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))))) (sqrt k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) #s(hole binary64 (exp (* (+ 1/2 (* -1/2 k)) (+ (log (* -2 (PI))) (* -1 (log (/ -1 n))))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(hole binary64 (/ (exp (* 1/2 (* (+ (log (* -2 (PI))) (* -1 (log (/ -1 n)))) (- 1 k)))) (sqrt k))))
#s(approx (sqrt (* (/ (* (PI) n) k) 2)) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) (* k n))))))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) #s(hole binary64 (/ (* (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) (sqrt k)) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) #s(hole binary64 (/ (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k))) k)))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) #s(hole binary64 (exp (* (+ (log (sqrt (* 2 (/ (PI) n)))) (* -1 (log (/ -1 n)))) (- 1 k)))))
#s(approx (sqrt (* (+ n n) (PI))) #s(hole binary64 (* -1 (* n (sqrt (* 2 (/ (PI) n)))))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -2 (/ (PI) k))) (log (/ -1 n))))))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) #s(hole binary64 (+ (log (* -2 (/ (PI) k))) (log (/ -1 n)))))

Outputs
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 k)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(+.f64 (/.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sqrt.f64 k)) (/.f64 (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sqrt.f64 k)))
(.f64 (fabs.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 n))) (exp.f64 (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (+.f64 (PI.f64) (PI.f64))))))
(.f64 (exp.f64 (.f64 (log.f64 n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (.f64 (PI.f64) n))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)))
(.f64 (pow.f64 (.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 n n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (exp.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 k #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 (PI.f64) (+.f64 n n))) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (+.f64 (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (-.f64 (.f64 (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))) (.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 #s(literal 1/2 binary64) k)))
(exp.f64 (fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 (PI.f64) (+.f64 n n))) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))))
(exp.f64 (.f64 (log.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))
(exp.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))
(+.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))))
#s(literal 1 binary64)
(.f64 (fabs.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 n))) (exp.f64 (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (+.f64 (PI.f64) (PI.f64))))))
(.f64 (exp.f64 (.f64 (log.f64 n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (.f64 (PI.f64) n))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)))
(.f64 (pow.f64 (.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 n n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (exp.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 k #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 (PI.f64) (+.f64 n n))) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (+.f64 (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (-.f64 (.f64 (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))) (.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 #s(literal 1/2 binary64) k)))
(exp.f64 (fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 (PI.f64) (+.f64 n n))) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))))
(exp.f64 (.f64 (log.f64 (exp.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))
(exp.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n)))))
(+.f64 (cosh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (.f64 (PI.f64) n))))
(*.f64 (exp.f64 (log.f64 n)) (exp.f64 (log.f64 (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (exp.f64 (log.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (log.f64 n)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(*.f64 (PI.f64) (+.f64 n n))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 (+.f64 n n) (PI.f64))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 (PI.f64) (+.f64 n n))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) n) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n) (-.f64 (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)) (.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n)))))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 (PI.f64) (+.f64 n n))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(+.f64 (cosh.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n)))) (sinh.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n)))))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 n n)))
(*.f64 #s(literal 2 binary64) n)
(*.f64 n #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 n n) (.f64 n n))) (neg.f64 (-.f64 n n)))
(/.f64 (neg.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n))) (neg.f64 (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n)))))
(/.f64 (-.f64 (.f64 n n) (.f64 n n)) (-.f64 n n))
(/.f64 (fma.f64 (.f64 n n) n (.f64 (.f64 n n) n)) (fma.f64 n n (-.f64 (.f64 n n) (*.f64 n n))))
(-.f64 (/.f64 (.f64 n n) (-.f64 n n)) (/.f64 (.f64 n n) (-.f64 n n)))
(+.f64 (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))) (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 (.f64 n n) (.f64 n n)))))
(+.f64 n n)
n
(PI.f64)
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 k k) k) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))))
(/.f64 (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k) #s(literal 1/8 binary64)) (fma.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 k k) k) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (-.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) k))))) (/.f64 (.f64 (.f64 (.f64 k k) k) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) k) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k)) (fma.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 k #s(literal -1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 k k) k)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 k #s(literal -1/2 binary64)) (.f64 k #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
k
#s(literal 1/2 binary64)
(pow.f64 k #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(sqrt.f64 k)
(exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (pow.f64 (/.f64 n k) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)))
(pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))) (neg.f64 (neg.f64 (sqrt.f64 k))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k)) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k))) (fabs.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) n) k))
(pow.f64 (.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k) (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k) (-.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k)) (.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k)))))
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 (.f64 (PI.f64) n))) (neg.f64 k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) (neg.f64 k) (.f64 (neg.f64 k) (neg.f64 (.f64 (PI.f64) n)))) (.f64 k k))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) n)) k (.f64 (neg.f64 k) (.f64 (PI.f64) n))) (.f64 (neg.f64 k) k))
(/.f64 (fma.f64 (.f64 (PI.f64) n) (neg.f64 k) (.f64 k (neg.f64 (.f64 (PI.f64) n)))) (.f64 k (neg.f64 k)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (.f64 (neg.f64 (sqrt.f64 k)) (sqrt.f64 k)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (neg.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))) (.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) n) (.f64 (-.f64 (PI.f64) (PI.f64)) k))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) n) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) k))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 k))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))
(/.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 (sqrt.f64 k) (sqrt.f64 k)))
(/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)
(fma.f64 (PI.f64) (/.f64 n k) (/.f64 (*.f64 (PI.f64) n) k))
(fma.f64 n (/.f64 (PI.f64) k) (/.f64 (*.f64 (PI.f64) n) k))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k) (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(+.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) n))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (*.f64 (PI.f64) n)) (neg.f64 k))
(/.f64 (*.f64 (PI.f64) n) k)
(*.f64 (PI.f64) n)
(*.f64 n (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) n))
#s(literal 2 binary64)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) k) (sqrt.f64 k)))
(.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) k) (sqrt.f64 k))
(.f64 (sqrt.f64 k) (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) k))
(/.f64 (neg.f64 (.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k))) (neg.f64 k))
(/.f64 (.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k)) k)
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 #s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))) (neg.f64 k))
(/.f64 #s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) k)
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(.f64 (fabs.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 n #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (pow.f64 n #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 n n)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (+.f64 n n)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(pow.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) (*.f64 (PI.f64) (+.f64 n n))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n))
(.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)) n)
(.f64 n #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)))) (neg.f64 k))
(/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k)
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) k) n)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (PI.f64) k) n)))
(pow.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) k))) (sqrt.f64 n))
(/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) k) #s(literal 2 binary64))) (sqrt.f64 n))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (PI.f64) k) n) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) k) n))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (PI.f64) k) n) (/.f64 (.f64 (PI.f64) k) n) (-.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) (/.f64 (.f64 (PI.f64) k) n)) (.f64 (/.f64 (.f64 (PI.f64) k) n) (/.f64 (.f64 (PI.f64) k) n)))))
(/.f64 (+.f64 (neg.f64 (.f64 (PI.f64) k)) (neg.f64 (.f64 (PI.f64) k))) (neg.f64 n))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) k)) (neg.f64 n) (.f64 (neg.f64 n) (neg.f64 (.f64 (PI.f64) k)))) (.f64 n n))
(/.f64 (fma.f64 (neg.f64 (.f64 (PI.f64) k)) n (.f64 (neg.f64 n) (.f64 (PI.f64) k))) (.f64 (neg.f64 n) n))
(/.f64 (fma.f64 (.f64 (PI.f64) k) (neg.f64 n) (.f64 n (neg.f64 (.f64 (PI.f64) k)))) (.f64 n (neg.f64 n)))
(/.f64 (fma.f64 (.f64 (PI.f64) k) n (.f64 n (.f64 (PI.f64) k))) (.f64 n n))
(/.f64 (fma.f64 (PI.f64) k (*.f64 (PI.f64) k)) n)
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) k))) (neg.f64 n))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) k) #s(literal 2 binary64))) (neg.f64 n))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) k)) n)
(/.f64 (.f64 (.f64 (PI.f64) k) #s(literal 2 binary64)) n)
(fma.f64 (PI.f64) (/.f64 k n) (/.f64 (*.f64 (PI.f64) k) n))
(fma.f64 k (/.f64 (PI.f64) n) (/.f64 (*.f64 (PI.f64) k) n))
(+.f64 (/.f64 (.f64 (PI.f64) k) n) (/.f64 (.f64 (PI.f64) k) n))
(*.f64 (PI.f64) (/.f64 k n))
(*.f64 k (/.f64 (PI.f64) n))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) k))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (PI.f64) k)) (neg.f64 n))
(/.f64 (*.f64 (PI.f64) k) n)
(*.f64 (PI.f64) k)
(*.f64 k (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) n)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) n))
(.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) n)
(.f64 n (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 k n))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) (.f64 k n))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n))))
(pow.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n)))))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n)))))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 k n))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (neg.f64 (*.f64 k n))))
(/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (*.f64 k n)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))))
(.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))
(log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (.f64 (log.f64 (.f64 k n)) (log.f64 (.f64 k n)))) (+.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (*.f64 k n))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 k n)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (+.f64 (PI.f64) (PI.f64))) (fma.f64 (log.f64 (.f64 k n)) (log.f64 (.f64 k n)) (.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (*.f64 k n))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (log.f64 (neg.f64 (*.f64 k n))))
(-.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (*.f64 k n)))
(-.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 k))
(+.f64 (log.f64 (/.f64 (PI.f64) (*.f64 k n))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (PI.f64) (*.f64 k n))))
(log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (PI.f64) n))
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))
(*.f64 (/.f64 (PI.f64) k) (/.f64 #s(literal 2 binary64) n))
(.f64 (/.f64 (PI.f64) (.f64 k n)) #s(literal 2 binary64))
(*.f64 (/.f64 (PI.f64) n) (/.f64 #s(literal 2 binary64) k))
(.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 k n)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) (.f64 k n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 k n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) (.f64 k n)) (/.f64 (PI.f64) (.f64 k n)) (-.f64 (.f64 (/.f64 (PI.f64) (.f64 k n)) (/.f64 (PI.f64) (.f64 k n))) (.f64 (/.f64 (PI.f64) (.f64 k n)) (/.f64 (PI.f64) (.f64 k n))))))
(/.f64 (+.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (neg.f64 (*.f64 k n)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 k n)) (.f64 (neg.f64 (.f64 k n)) (neg.f64 (PI.f64)))) (.f64 (neg.f64 (.f64 k n)) (neg.f64 (.f64 k n))))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) n (.f64 (neg.f64 (.f64 k n)) (/.f64 (PI.f64) k))) (.f64 (neg.f64 (.f64 k n)) n))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (.f64 k n) (.f64 (neg.f64 (.f64 k n)) (PI.f64))) (.f64 (neg.f64 (.f64 k n)) (.f64 k n)))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) (neg.f64 (.f64 k n)) (.f64 n (neg.f64 (PI.f64)))) (.f64 n (neg.f64 (.f64 k n))))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) n (/.f64 (.f64 (PI.f64) n) k)) (.f64 n n))
(/.f64 (fma.f64 (/.f64 (PI.f64) k) (.f64 k n) (.f64 (PI.f64) n)) (.f64 n (.f64 k n)))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (.f64 k n)) (.f64 (.f64 k n) (neg.f64 (PI.f64)))) (.f64 (.f64 k n) (neg.f64 (.f64 k n))))
(/.f64 (fma.f64 (PI.f64) n (.f64 (.f64 k n) (/.f64 (PI.f64) k))) (.f64 (.f64 k n) n))
(/.f64 (fma.f64 (PI.f64) (.f64 k n) (.f64 (.f64 (PI.f64) n) k)) (.f64 (.f64 k n) (.f64 k n)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (neg.f64 (*.f64 k n))))
(/.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (neg.f64 k))
(/.f64 (exp.f64 (log.f64 (+.f64 (PI.f64) (PI.f64)))) (exp.f64 (log.f64 (*.f64 k n))))
(/.f64 (neg.f64 (+.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 k n)))
(/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) k) n)
(/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)
(/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) n) (/.f64 (PI.f64) (*.f64 k n)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) n) (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (PI.f64) (*.f64 k n)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) k) (/.f64 (cbrt.f64 (PI.f64)) n) (/.f64 (PI.f64) (.f64 k n)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) n) (/.f64 (cbrt.f64 (PI.f64)) k) (/.f64 (PI.f64) (.f64 k n)))
(exp.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n))))
(+.f64 (/.f64 (/.f64 (PI.f64) n) k) (/.f64 (/.f64 (PI.f64) n) k))
(+.f64 (cosh.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n)))) (sinh.f64 (log.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n)))))
(+.f64 (/.f64 (PI.f64) (.f64 k n)) (/.f64 (PI.f64) (.f64 k n)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
(*.f64 k n)
(*.f64 n k)
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k)))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal -1/2 binary64))) (sqrt.f64 k)) k (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (fma.f64 (fma.f64 k (/.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 1/8 binary64))) (sqrt.f64 k)) (.f64 (.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 (/.f64 (.f64 (PI.f64) (+.f64 n n)) k))) #s(literal -1/2 binary64))) k (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))) k) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (fma.f64 k (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal -1/48 binary64) k) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (pow.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) #s(literal 3 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (.f64 (log.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) #s(literal 1/8 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (log.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
#s(approx (+ (* -1/2 k) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 k) 1/2) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx k k)
#s(approx (sqrt k) (sqrt.f64 k))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (PI.f64) n) k) #s(literal 2 binary64))) k))
#s(approx (* (/ (* (PI) n) k) 2) (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k))
#s(approx (/ (* (PI) n) k) (/.f64 (*.f64 (PI.f64) n) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k)) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 k (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))) k) #s(literal 1/2 binary64) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))))) (sqrt.f64 (.f64 (*.f64 (PI.f64) (+.f64 n n)) k))) k))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (/.f64 (fma.f64 (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64))) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k)) (.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))) k) #s(literal -1/6 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))))) k (sqrt.f64 (.f64 (.f64 (PI.f64) (+.f64 n n)) k))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) k))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (fma.f64 k (fma.f64 k (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) k) #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 (neg.f64 k) (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 k (fma.f64 (.f64 #s(literal 1/2 binary64) k) (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (fma.f64 k (fma.f64 k (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) k) #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (PI.f64) k) n) #s(literal 2 binary64))) n) k))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))) k))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64))))
#s(approx (* (/ (* (PI) k) n) 2) (.f64 (/.f64 (.f64 (PI.f64) k) n) #s(literal 2 binary64)))
#s(approx (/ (* (PI) k) n) (/.f64 (*.f64 (PI.f64) k) n))
#s(approx (* (PI) k) (*.f64 (PI.f64) k))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (*.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (.f64 k n))))
#s(approx (/ (+ (PI) (PI)) (* n k)) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)))
#s(approx (* n k) (*.f64 k n))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) k) (sqrt.f64 k)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 k) 1/2) (*.f64 k #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 k) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) k) #s(literal 1/2 binary64)) k))
#s(approx (sqrt k) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k)) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k)))
#s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) n))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) k))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (*.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (.f64 k n))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) k) (sqrt.f64 k))))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 k) 1/2) (*.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) k))))
#s(approx (sqrt k) (*.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) k))))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 k n)))))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) (.f64 (neg.f64 k) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n)))))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1 binary64)) (.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 k n))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ n n) (PI)) (*.f64 (PI.f64) (+.f64 n n)))
#s(approx (+ n n) (+.f64 n n))
#s(approx n n)
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k)))
#s(approx (* (PI) n) (*.f64 (PI.f64) n))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 n n))) (-.f64 #s(literal 1 binary64) k)) (/.f64 (sqrt.f64 k) k)))
#s(approx (sqrt (/ (+ (PI) (PI)) (* n k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) n))
#s(approx (/ (sqrt (* (/ (* (PI) k) n) 2)) k) (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))) (.f64 k n)))
#s(approx (sqrt (* (/ (* (PI) k) n) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (PI.f64) n) k) #s(literal 2 binary64))) n))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (*.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (.f64 k n))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt (* (+ n n) (PI))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (*.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (.f64 k n))))
#s(approx (/ (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt k)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k)))
#s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -2 binary64) (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (.f64 #s(literal -2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))) (sqrt.f64 k)))
#s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (neg.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))) n)))
#s(approx (* (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (sqrt k)) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))) (/.f64 (sqrt.f64 k) k)))
#s(approx (/ (pow (sqrt (* (+ n n) (PI))) (- 1 k)) k) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))) k))
#s(approx (pow (sqrt (* (+ n n) (PI))) (- 1 k)) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt (* (+ n n) (PI))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) n)))
#s(approx (* (log (/ (+ (PI) (PI)) (* n k))) 1/2) (.f64 (log.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1 binary64)) (.f64 k n))) #s(literal 1/2 binary64)))
#s(approx (log (/ (+ (PI) (PI)) (* n k))) (log.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 k n))))

eval50.0ms (0.8%)

Memory: -5.4MiB live, 87.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 749 to 2 236 computations (61.1% saved)

prune38.0ms (0.6%)

Memory

24.7MiB live, 71.5MiB allocated; 2ms collecting garbage

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	392	11	403
Fresh	3	24	27
Picked	4	1	5
Done	1	5	6
Total	400	41	441

Accuracy

100.0%

Counts

441 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
	99.6%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (-.f64 #s(literal 1 binary64) k)) (sqrt.f64 k))
	99.7%	(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) (+.f64 n n)) (.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k))
	96.4%	(/.f64 (exp.f64 (.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (.f64 (PI.f64) (+.f64 n n))))) (sqrt.f64 k))
	48.8%	(/.f64 #s(approx (* 1 (pow (* (+ n n) (PI)) (+ (* -1/2 k) 1/2))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k))
	48.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (pow ( (+ (PI) (PI)) n) (* 1/2 k)) #s(literal 1 binary64))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(approx (pow (* (+ (PI) (PI)) n) (* 1/2 k)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 n n) (PI.f64))) #s(literal 1 binary64)))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	48.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(approx (pow ( (* 2 (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))))
	48.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 k)) k))
	74.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) k) k)))
	35.5%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) k)) k))
✓	94.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 n n) (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k) (sqrt.f64 k)))
	92.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) k) (sqrt.f64 k)))
	43.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))) k) (sqrt.f64 k)))
	44.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (*.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 (PI.f64)))) k) (sqrt.f64 k)))
	44.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))) k) (sqrt.f64 k)))
✓	44.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (/.f64 #s(approx (pow (sqrt ( (+ n n) (PI))) (- 1 k)) (sqrt.f64 (*.f64 (+.f64 n n) (PI.f64)))) k) (sqrt.f64 k)))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
	38.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (+.f64 (PI.f64) (PI.f64)))))
✓	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	21.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64)) (.f64 k k))))
✓	38.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (sqrt.f64 (PI.f64))) k)))
	23.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 n n) (PI.f64)) (*.f64 (+.f64 n n) (PI.f64)))) k)))
✓	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	38.9%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 n n)) (/.f64 (sqrt.f64 (PI.f64)) k))))
	39.0%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (.f64 (.f64 n (/.f64 (PI.f64) k)) #s(literal 2 binary64))))
	27.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k) (/.f64 (*.f64 (+.f64 n n) (PI.f64)) k)))))
	36.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 n n) (PI.f64)) k)) #s(literal 1/2 binary64))))
	49.1%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)) n)))
	46.8%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (/.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (.f64 n k))) n)))
	46.2%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 n k))) (sqrt.f64 #s(literal 2 binary64))) n)))
	33.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) k) (.f64 n k) (.f64 (PI.f64) n)) (.f64 n (*.f64 n k)))) n)))
	37.7%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) k) n (/.f64 (.f64 (PI.f64) n) k)) (*.f64 n n))) n)))
	31.6%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (.f64 n k) (.f64 (.f64 (PI.f64) n) k)) (.f64 (.f64 n k) (*.f64 n k)))) n)))
	44.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) n)))
✓	46.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 n k))) n)))
	44.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) n) (/.f64 #s(literal 2 binary64) k))) n)))
	44.2%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 (exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 k n))))) n)))
	50.3%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) (.f64 #s(approx (sqrt (/ (+ (PI) (PI)) ( n k))) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) k) n)) (sqrt.f64 #s(literal 2 binary64))) k)) n)))
	50.4%	#s(approx (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) #s(approx (sqrt (/ (* (+ (PI) (PI)) n) k)) #s(approx (* (sqrt (/ (+ (PI) (PI)) (* n k))) n) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (PI.f64) k) n) #s(literal 2 binary64))) n) k))))

Compiler

Compiled 1 777 to 1 279 computations (28% saved)

regimes71.0ms (1.1%)

Memory

-26.1MiB live, 118.2MiB allocated; 10ms collecting garbage

Counts

63 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	n
18.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
16.0ms	k
15.0ms	(.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))))

Results

Accuracy	Segments	Branch
99.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.7%	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))))`
99.7%	1	`k`
99.7%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes129.0ms (2%)

Memory

-13.8MiB live, 102.7MiB allocated; 122ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

Outputs
(.f64 (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))))

Calls

4 calls:

87.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
14.0ms	k
13.0ms	n
12.0ms	(.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))))

Results

Accuracy	Segments	Branch
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.6%	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))))`
99.6%	1	`k`
99.6%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes56.0ms (0.9%)

Memory

16.5MiB live, 111.4MiB allocated; 10ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

Outputs
(.f64 #s(approx (/ 1 (sqrt k)) (/.f64 (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))))

Calls

4 calls:

16.0ms	k
15.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
12.0ms	n
10.0ms	(.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))))

Results

Accuracy	Segments	Branch
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.6%	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))))`
99.6%	1	`k`
99.6%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes60.0ms (0.9%)

Memory

-15.3MiB live, 80.2MiB allocated; 15ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
16.0ms	k
12.0ms	n
10.0ms	(.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))))

Results

Accuracy	Segments	Branch
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.6%	1	`n`
99.6%	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))))`
99.6%	1	`k`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes47.0ms (0.7%)

Memory

25.1MiB live, 70.0MiB allocated; 8ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(.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))))
10.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
10.0ms	k
10.0ms	n

Results

Accuracy	Segments	Branch
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.6%	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))))`
99.6%	1	`k`
99.6%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes45.0ms (0.7%)

Memory

9.6MiB live, 55.1MiB allocated; 5ms collecting garbage

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

14.0ms	n
10.0ms	k
10.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
9.0ms	(.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))))

Results

Accuracy	Segments	Branch
75.4%	3	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
73.9%	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))))`
70.5%	3	`k`
75.4%	3	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes43.0ms (0.7%)

Memory

0.7MiB live, 46.9MiB allocated; 4ms collecting garbage

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

23.0ms

9.0ms

(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)

8.0ms

(*.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))))

Results

Accuracy	Segments	Branch
73.9%	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))))`
72.1%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
72.1%	2	`n`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes56.0ms (0.9%)

Memory

-20.8MiB live, 33.1MiB allocated; 7ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

37.0ms

(*.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))))

9.0ms

(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)

Results

Accuracy	Segments	Branch
72.1%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
72.1%	2	`n`
72.0%	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))))`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes49.0ms (0.8%)

Memory

-7.2MiB live, 39.2MiB allocated; 3ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

27.0ms	(.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))))
7.0ms	k
7.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
7.0ms	n

Results

Accuracy	Segments	Branch
60.2%	2	`k`
60.5%	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))))`
60.5%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
60.5%	2	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes17.0ms (0.3%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)

5.0ms

(*.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))))

Results

Accuracy	Segments	Branch
60.1%	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))))`
60.2%	2	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
60.2%	2	`n`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes28.0ms (0.4%)

Memory

-24.0MiB live, 20.0MiB allocated; 6ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
3.0ms	n
3.0ms	k
3.0ms	(.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))))

Results

Accuracy	Segments	Branch
48.8%	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))))`
48.8%	1	`k`
48.8%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
48.8%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes10.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
2.0ms	n
2.0ms	k
2.0ms	(.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))))

Results

Accuracy	Segments	Branch
39.0%	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))))`
39.0%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
39.0%	1	`k`
39.0%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

1.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
1.0ms	k
1.0ms	n
1.0ms	(.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))))

Results

Accuracy	Segments	Branch
39.0%	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))))`
39.0%	1	`k`
39.0%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
39.0%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch38.0ms (0.6%)

Memory

-11.3MiB live, 32.0MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.9457841877154848e+180	3.725795613329981e+182
23.0ms	8328423664.908538	17801540602.988052

Samples

27.0ms

192×

valid

Compiler

Compiled 796 to 713 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow: 3.0ms (35% of total)

ival-div!: 2.0ms (23.3% of total)

ival-mult!: 2.0ms (23.3% of total)

ival-sub!: 1.0ms (11.7% of total)

ival-sqrt: 1.0ms (11.7% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0240596040762446e+277	+inf
0.0ms	0.0	8.434554923172125e-127

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch28.0ms (0.4%)

Memory

-33.1MiB live, 22.7MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.8442696328925037e-27	2.97002709366971e-22

Samples

10.0ms

144×

valid

Compiler

Compiled 604 to 549 computations (9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow: 3.0ms (44.6% of total)

ival-sqrt: 1.0ms (14.9% of total)

ival-div!: 1.0ms (14.9% of total)

ival-mult!: 1.0ms (14.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	6.262099263329901e-53	1.8491101173156478e-51

Samples

2.0ms

32×

valid

Compiler

Compiled 133 to 124 computations (6.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow: 1.0ms (66.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.8442696328925037e-27	2.97002709366971e-22

Samples

2.0ms

32×

valid

Compiler

Compiled 451 to 441 computations (2.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow: 1.0ms (66.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

derivations467.0ms (7.2%)

Memory

11.9MiB live, 482.4MiB allocated; 54ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 207 to 137 computations (33.8% saved)

preprocess172.0ms (2.7%)

Memory: 12.4MiB live, 290.6MiB allocated; 41ms collecting garbage
Compiler: Compiled 222 to 150 computations (32.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze103.0ms (1.6%)

sample3.0s (45.7%)

preprocess67.0ms (1%)

series88.0ms (1.4%)

rewrite216.0ms (3.3%)

eval42.0ms (0.6%)

prune15.0ms (0.2%)

series250.0ms (3.9%)

rewrite215.0ms (3.3%)

eval80.0ms (1.2%)

prune79.0ms (1.2%)

series146.0ms (2.3%)

rewrite226.0ms (3.5%)

eval50.0ms (0.8%)

prune35.0ms (0.5%)

series259.0ms (4%)

rewrite223.0ms (3.4%)

eval50.0ms (0.8%)

prune38.0ms (0.6%)

regimes71.0ms (1.1%)

regimes129.0ms (2%)

regimes56.0ms (0.9%)

regimes60.0ms (0.9%)

regimes47.0ms (0.7%)

regimes45.0ms (0.7%)

regimes43.0ms (0.7%)

regimes56.0ms (0.9%)

regimes49.0ms (0.8%)

regimes17.0ms (0.3%)

regimes28.0ms (0.4%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch38.0ms (0.6%)

bsearch1.0ms (0%)

bsearch28.0ms (0.4%)

bsearch4.0ms (0.1%)

bsearch5.0ms (0.1%)

derivations467.0ms (7.2%)

preprocess172.0ms (2.7%)

end0.0ms (0%)

Profiling