Metrics for Migdal et al, Equation (51)

start0.0ms (0%)

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

analyze125.0ms (1.3%)

Memory

12.3MiB live, 160.3MiB allocated; 46ms 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)

sample2.5s (26%)

Memory

91.6MiB live, 1 995.3MiB allocated; 429ms collecting garbage

Samples

963.0ms	5 343×	1	invalid
791.0ms	8 255×	0	valid
156.0ms	460×	2	invalid
22.0ms	233×	0	exit
19.0ms	336×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-pow: 496.0ms (33.5% of total)

ival-div!: 274.0ms (18.5% of total)

ival-mult!: 246.0ms (16.6% of total)

adjust: 232.0ms (15.7% of total)

ival-sqrt: 140.0ms (9.5% of total)

ival-sub!: 93.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

Bogosity

preprocess80.0ms (0.8%)

Memory

-0.2MiB live, 43.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	104
1	108	90
2	344	88
3	1488	88

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 26 computations (13.3% saved)

series84.0ms (0.9%)

Memory

-7.3MiB live, 95.5MiB allocated; 22ms collecting garbage

Counts

13 → 34

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	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))
20.0ms	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))
15.0ms	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))
4.0ms	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))
3.0ms	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))

rewrite1.9s (19.6%)

Memory

-8.3MiB live, 830.5MiB allocated; 191ms collecting garbage

Counts

47 → 181

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

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

eval19.0ms (0.2%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 897 to 777 computations (59% saved)

prune13.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	153	14	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	154	14	168

Accuracy

100.0%

Counts

168 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (sqrt.f64 k))
	76.3%	(.f64 (pow.f64 (+.f64 (PI.f64) (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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
▶	99.1%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
▶	99.2%	(.f64 (pow.f64 k (neg.f64 #s(literal 1/2 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	99.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 k (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 k (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
▶	96.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (exp.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
▶	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
	47.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	96.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	50.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 k k) k)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (+.f64 (PI.f64) (PI.f64))))) k))
▶	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))

Compiler

Compiled 592 to 496 computations (16.2% saved)

series190.0ms (2%)

Memory

-50.9MiB live, 74.8MiB allocated; 184ms collecting garbage

Counts

35 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
133.0ms	k	@	-inf	((* (/ 1 (sqrt k)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (sqrt (/ 1 k)) (/ 1 k) (* (pow k (neg 1/2)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (* (/ 1 (sqrt k)) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2))) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2)) (exp (log (* (+ (PI) (PI)) n))) (log (* (+ (PI) (PI)) n)))
20.0ms	n	@	-inf	((* (/ 1 (sqrt k)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (sqrt (/ 1 k)) (/ 1 k) (* (pow k (neg 1/2)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (* (/ 1 (sqrt k)) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2))) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2)) (exp (log (* (+ (PI) (PI)) n))) (log (* (+ (PI) (PI)) n)))
12.0ms	n	@	inf	((* (/ 1 (sqrt k)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (sqrt (/ 1 k)) (/ 1 k) (* (pow k (neg 1/2)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (* (/ 1 (sqrt k)) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2))) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2)) (exp (log (* (+ (PI) (PI)) n))) (log (* (+ (PI) (PI)) n)))
11.0ms	n	@	0	((* (/ 1 (sqrt k)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (sqrt (/ 1 k)) (/ 1 k) (* (pow k (neg 1/2)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (* (/ 1 (sqrt k)) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2))) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2)) (exp (log (* (+ (PI) (PI)) n))) (log (* (+ (PI) (PI)) n)))
5.0ms	k	@	0	((* (/ 1 (sqrt k)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (/ 1 (sqrt k)) 1 (sqrt k) k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (/ (* (+ (PI) (PI)) n) k)) (/ (* (+ (PI) (PI)) n) k) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (sqrt (/ 1 k)) (/ 1 k) (* (pow k (neg 1/2)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) (* (* 2 (PI)) n) (* 2 (PI)) (* (/ 1 (sqrt k)) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2))) (pow (exp (log (* (+ (PI) (PI)) n))) (/ (- 1 k) 2)) (exp (log (* (+ (PI) (PI)) n))) (log (* (+ (PI) (PI)) n)))

rewrite1.4s (14.2%)

Memory

40.2MiB live, 488.7MiB allocated; 110ms collecting garbage

Counts

155 → 269

Calls

Call 1

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

Outputs
(.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 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 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 2 binary64)))) (sqrt.f64 k))
(*.f64 (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 k)))
(exp.f64 (*.f64 (log.f64 k) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 k (neg.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(pow.f64 k #s(literal 1/2 binary64))
(sqrt.f64 k)
k
(*.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 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 n (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) n) (PI.f64))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sinh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+.f64 (PI.f64) (PI.f64))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(PI.f64)
n
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 k #s(literal 2 binary64))) (pow.f64 n (/.f64 k #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 k #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 k #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 k #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))
(/.f64 k #s(literal 2 binary64))
(/.f64 (neg.f64 k) (neg.f64 #s(literal 2 binary64)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
(.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)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) n) k))
(+.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k))
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)
(/.f64 (neg.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (neg.f64 k))
(fma.f64 n (/.f64 (PI.f64) k) (/.f64 (*.f64 (PI.f64) n) k))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.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 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 k #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) k)) (neg.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) k)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 k k)) (+.f64 #s(literal 1 binary64) k))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (.f64 (.f64 k k) k)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 k k (*.f64 #s(literal 1 binary64) k))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 k))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 k))
(pow.f64 k #s(literal -1 binary64))
(.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 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 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 2 binary64)))) (sqrt.f64 k))
(*.f64 (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 k)))
(exp.f64 (*.f64 (log.f64 k) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 k (neg.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64))
(neg.f64 #s(literal 1/2 binary64))
#s(literal 1/2 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 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) n) (PI.f64))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sinh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+.f64 (PI.f64) (PI.f64))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.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 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 k) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 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 2 binary64)))) (sqrt.f64 k))
(*.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 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) n) (PI.f64))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sinh.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(+.f64 (.f64 (PI.f64) n) (.f64 (PI.f64) n))
(exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(+.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 n))
(+.f64 (log.f64 n) (log.f64 (+.f64 (PI.f64) (PI.f64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) n)))
(/.f64 (-.f64 (.f64 (log.f64 n) (log.f64 n)) (.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 (log.f64 n) (log.f64 (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 (.f64 (log.f64 (+.f64 (PI.f64) (PI.f64))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (.f64 (log.f64 n) (log.f64 (+.f64 (PI.f64) (PI.f64)))))))
(log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k)))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1/16 binary64) #s(literal 1/48 binary64)))) (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))))) (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (sqrt k) (sqrt.f64 k))
#s(approx k k)
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) (neg.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 (+.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1/16 binary64) #s(literal 1/48 binary64)))) k) (sqrt.f64 (.f64 (PI.f64) n)))) (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (PI.f64) n))))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) #s(literal 1 binary64))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1 binary64)))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (fma.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal 1/8 binary64) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64))) k #s(literal 1 binary64)))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) k) (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) #s(literal 1/8 binary64))) k (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64))) k #s(literal 1 binary64)))
#s(approx (/ k 2) (*.f64 #s(literal 1/2 binary64) k))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (* (+ (PI) (PI)) (/ n k)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k)))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) (.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64))) k (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) (neg.f64 k)))
#s(approx (sqrt (/ 1 k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (/ 1 k) (/.f64 #s(literal 1 binary64) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) (.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) n) (.f64 (.f64 k k) k))) (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) (.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64))) k (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.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 (.f64 #s(literal 1/2 binary64) #s(literal 1 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 (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt k) (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 k))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 (*.f64 #s(literal -2 binary64) #s(literal -1 binary64)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 k) 2) (.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) k))))
#s(approx (- 1 k) (*.f64 (neg.f64 k) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt (/ 1 k)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (pow k (neg 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (+.f64 #s(literal 1 binary64) (neg.f64 k))) #s(literal 1/2 binary64))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (* n (+ (PI) (PI))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx n n)
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* n (+ (PI) (PI))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* n (+ (PI) (PI))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx (log (* n (+ (PI) (PI)))) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (log (* n (+ (PI) (PI)))) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64)))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64)))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (sqrt (* (+ (PI) (PI)) (/ n k))) (neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 (*.f64 #s(literal -2 binary64) #s(literal -1 binary64))))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (log (* n (+ (PI) (PI)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64)))))

eval29.0ms (0.3%)

Memory: 20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 450 to 924 computations (73.2% saved)

prune33.0ms (0.3%)

Memory

-34.2MiB live, 26.3MiB allocated; 13ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	229	13	242
Fresh	3	6	9
Picked	4	1	5
Done	0	0	0
Total	236	20	256

Accuracy

100.0%

Counts

256 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (sqrt.f64 k))
	76.3%	(.f64 (pow.f64 (+.f64 (PI.f64) (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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
	99.1%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
	56.0%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (*.f64 #s(literal -1/2 binary64) k))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
	46.6%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
	46.6%	(.f64 (pow.f64 k (neg.f64 #s(literal 1/2 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) #s(literal 1/2 binary64))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
▶	47.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))))))
▶	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	96.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	96.3%	(.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))) (-.f64 #s(literal 1 binary64) k)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
▶	99.3%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
	50.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 k k) k)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (+.f64 (PI.f64) (PI.f64))))) k))
	46.6%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
✓	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	34.3%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) k)))
	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))))
▶	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	79.7%	#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))

Compiler

Compiled 886 to 784 computations (11.5% saved)

series65.0ms (0.7%)

Memory

-11.4MiB live, 80.4MiB allocated; 4ms collecting garbage

Counts

40 → 109

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	n	@	-inf	((* (pow k (neg 1/2)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt k) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* (PI) n)) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2))) (sqrt (* (PI) n)) (* (PI) n) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2)) (* -1/2 k) -1/2 (* (sqrt 2) (log (* (+ (PI) (PI)) n))) (sqrt 2) (log (* (+ (PI) (PI)) n)))
13.0ms	n	@	0	((* (pow k (neg 1/2)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt k) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* (PI) n)) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2))) (sqrt (* (PI) n)) (* (PI) n) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2)) (* -1/2 k) -1/2 (* (sqrt 2) (log (* (+ (PI) (PI)) n))) (sqrt 2) (log (* (+ (PI) (PI)) n)))
12.0ms	n	@	inf	((* (pow k (neg 1/2)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt k) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* (PI) n)) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2))) (sqrt (* (PI) n)) (* (PI) n) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2)) (* -1/2 k) -1/2 (* (sqrt 2) (log (* (+ (PI) (PI)) n))) (sqrt 2) (log (* (+ (PI) (PI)) n)))
8.0ms	k	@	-inf	((* (pow k (neg 1/2)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt k) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* (PI) n)) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2))) (sqrt (* (PI) n)) (* (PI) n) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2)) (* -1/2 k) -1/2 (* (sqrt 2) (log (* (+ (PI) (PI)) n))) (sqrt 2) (log (* (+ (PI) (PI)) n)))
8.0ms	k	@	0	((* (pow k (neg 1/2)) (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* (+ (PI) (PI)) n) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* (+ (PI) (PI)) n) (/ 1 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (PI) n (/ 1 2) 2 (pow (* (+ (PI) (PI)) n) (/ k 2)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (+ (PI) (PI)) (/ n k))) (* (+ (PI) (PI)) (/ n k)) (/ n k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (/ 1 (sqrt k)) (sqrt k) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (- 1 k) (* (/ 1 (sqrt k)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (* (sqrt (* (PI) n)) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2))) (sqrt (* (PI) n)) (* (PI) n) (+ (* (* -1/2 k) (* (sqrt 2) (log (* (+ (PI) (PI)) n)))) (sqrt 2)) (* -1/2 k) -1/2 (* (sqrt 2) (log (* (+ (PI) (PI)) n))) (sqrt 2) (log (* (+ (PI) (PI)) n)))

rewrite1.4s (14.9%)

Memory

36.1MiB live, 1 038.9MiB allocated; 160ms collecting garbage

Counts

149 → 236

Calls

Call 1

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

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

eval66.0ms (0.7%)

Memory: -20.7MiB live, 28.1MiB allocated; 46ms collecting garbage
Compiler: Compiled 4 001 to 1 114 computations (72.2% saved)

prune19.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	228	11	239
Fresh	5	9	14
Picked	3	2	5
Done	0	1	1
Total	236	23	259

Accuracy

100.0%

Counts

259 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
	56.0%	(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (.f64 #s(literal -1/2 binary64) k))) (sqrt.f64 k))
▶	99.1%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
▶	46.6%	(.f64 (pow.f64 k (neg.f64 #s(literal 1/2 binary64))) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
	46.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))))
	47.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) k) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
	46.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) #s(approx (+ (sqrt 2) (* (* -1/2 k) (* (sqrt 2) (log (* n (+ (PI) (PI))))))) (sqrt.f64 #s(literal 2 binary64))))))
✓	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	96.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	43.5%	(.f64 (exp.f64 (.f64 (log.f64 k) (neg.f64 #s(literal 1/2 binary64)))) #s(approx (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
▶	99.3%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) n)))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
▶	46.6%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) n)))))
	50.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 k k) k)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (+.f64 (PI.f64) (PI.f64))))) k))
	46.6%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
	36.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k))))
✓	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	34.3%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) k)))
▶	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))))
✓	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	79.8%	#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) n)) k)) (exp.f64 (.f64 (.f64 k #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
	79.7%	#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))

Compiler

Compiled 1 063 to 947 computations (10.9% saved)

series49.0ms (0.5%)

Memory

-3.6MiB live, 45.5MiB allocated; 4ms collecting garbage

Counts

35 → 111

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	n	@	0	((* (pow k (neg 1/2)) (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt (* 2 (* (PI) n))) (* 2 (* (PI) n)) 2 (* (PI) n) (PI) n (pow (* (+ (PI) (PI)) n) (/ k 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (* (pow k (neg 1/2)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (+ (* -1/2 k) 1/2) -1/2)
11.0ms	n	@	-inf	((* (pow k (neg 1/2)) (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt (* 2 (* (PI) n))) (* 2 (* (PI) n)) 2 (* (PI) n) (PI) n (pow (* (+ (PI) (PI)) n) (/ k 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (* (pow k (neg 1/2)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (+ (* -1/2 k) 1/2) -1/2)
11.0ms	n	@	inf	((* (pow k (neg 1/2)) (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt (* 2 (* (PI) n))) (* 2 (* (PI) n)) 2 (* (PI) n) (PI) n (pow (* (+ (PI) (PI)) n) (/ k 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (* (pow k (neg 1/2)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (+ (* -1/2 k) 1/2) -1/2)
4.0ms	k	@	-inf	((* (pow k (neg 1/2)) (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt (* 2 (* (PI) n))) (* 2 (* (PI) n)) 2 (* (PI) n) (PI) n (pow (* (+ (PI) (PI)) n) (/ k 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (* (pow k (neg 1/2)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (+ (* -1/2 k) 1/2) -1/2)
3.0ms	k	@	0	((* (pow k (neg 1/2)) (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2)))) (pow k (neg 1/2)) (sqrt (/ 1 k)) (/ 1 k) 1 k (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* (+ (PI) (PI)) n) (/ k 2))) (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt (* 2 (* (PI) n))) (* 2 (* (PI) n)) 2 (* (PI) n) (PI) n (pow (* (+ (PI) (PI)) n) (/ k 2)) (* (+ (PI) (PI)) n) (+ (PI) (PI)) (/ k 2) (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt (* (/ (* (PI) n) k) 2)) (* (/ (* (PI) n) k) 2) (/ (* (PI) n) k) (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (* (pow k (neg 1/2)) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2))) (pow k (neg 1/2)) (neg 1/2) 1/2 (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (* (+ (PI) (PI)) n)) (* (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (/ (- 1 k) 2) (+ (* -1/2 k) 1/2) -1/2)

rewrite1.3s (13.5%)

Memory

-7.0MiB live, 412.1MiB allocated; 42ms collecting garbage

Counts

146 → 206

Calls

Call 1

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

Outputs
(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))))
#s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 k))
(pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(/.f64 #s(literal 1 binary64) k)
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 k))
(pow.f64 k #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
k
(/.f64 #s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64))))
#s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 (.f64 #s(literal 2 binary64) n) (PI.f64))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(+.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))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (PI.f64) n)
(*.f64 n (PI.f64))
(PI.f64)
n
(*.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 k #s(literal 2 binary64))) (pow.f64 n (/.f64 k #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 k #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 (/.f64 k #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (/.f64 k #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) (/.f64 k #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) n))
(.f64 (.f64 (PI.f64) n) #s(literal 2 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) n)
(.f64 (.f64 #s(literal 2 binary64) n) (PI.f64))
(*.f64 n (+.f64 (PI.f64) (PI.f64)))
(+.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))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (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 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))
(/.f64 k #s(literal 2 binary64))
(/.f64 (neg.f64 k) (neg.f64 #s(literal 2 binary64)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)))
(.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) n) k))
(.f64 (/.f64 (.f64 (PI.f64) n) k) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (PI.f64) n) k) (/.f64 (.f64 (PI.f64) n) k))
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) 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))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 (PI.f64) n) k)
(/.f64 (neg.f64 (*.f64 (PI.f64) n)) (neg.f64 k))
(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
(*.f64 (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 k (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(exp.f64 (*.f64 (log.f64 k) (neg.f64 #s(literal 1/2 binary64))))
(pow.f64 k (neg.f64 #s(literal 1/2 binary64)))
(neg.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (PI.f64) n)))
(.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))))
#s(approx (/ (- 1 k) 2) (fma.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 (*.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal -1/2 binary64)) k))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) k) (.f64 #s(literal -1/2 binary64) k)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 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 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) k) (.f64 #s(literal -1/2 binary64) k) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) k) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.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)))))
(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))
#s(literal -1/2 binary64)
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 k n) (PI.f64))) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) (neg.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 #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n)))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64))) (+.f64 #s(literal -1/16 binary64) #s(literal 1/48 binary64)))) (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))))) (neg.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 #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))))) k (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (sqrt (/ 1 k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
#s(approx (/ 1 k) (/.f64 #s(literal 1 binary64) k))
#s(approx k k)
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) (neg.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 #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) #s(literal 1/8 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
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#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) #s(literal 1 binary64))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1 binary64)))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) k) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))) k #s(literal 1 binary64)))
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#s(approx (/ k 2) (*.f64 #s(literal 1/2 binary64) k))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
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#s(approx (sqrt (/ (* n (+ (PI) (PI))) k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (/ (* n (+ (PI) (PI))) k) (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k))
#s(approx (* (PI) (/ n k)) (/.f64 (*.f64 (PI.f64) n) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
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#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.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 #s(literal 2 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
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#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
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#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) k) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.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 #s(literal 2 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) k (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64))) k) (sqrt.f64 (.f64 (PI.f64) n))) #s(literal -1/48 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (PI.f64) n))) (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))))) k (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) k (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 (.f64 k k) k) (.f64 (PI.f64) n))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 3 binary64)))) #s(literal -1/48 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (.f64 (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (sqrt.f64 #s(literal 2 binary64))))) k (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (PI.f64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))) k (sqrt.f64 (.f64 (.f64 (.f64 k n) (PI.f64)) #s(literal 2 binary64)))) k))
#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 (+ 1/2 (* -1/2 k)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/2 k)) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.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)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (/ (- 1 k) 2) (*.f64 #s(literal -1/2 binary64) k))
#s(approx (/ (- 1 k) 2) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) k) #s(literal 1/2 binary64)) k))
#s(approx (+ 1/2 (* -1/2 k)) (*.f64 #s(literal -1/2 binary64) k))
#s(approx (+ 1/2 (* -1/2 k)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) k) #s(literal 1/2 binary64)) k))
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#s(approx (pow k (neg 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt (/ 1 k)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))))
#s(approx (sqrt (/ (* n (+ (PI) (PI))) k)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (+.f64 (neg.f64 k) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (- 1 k) 2) (.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) k))))
#s(approx (+ 1/2 (* -1/2 k)) (.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) k))))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (sqrt (* n (+ (PI) (PI)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (* n (+ (PI) (PI))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx (* n (PI)) (*.f64 (PI.f64) n))
#s(approx n n)
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))))
#s(approx (* n (+ (PI) (PI))) (*.f64 (+.f64 (PI.f64) (PI.f64)) n))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.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)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))) (-.f64 #s(literal 1 binary64) k))))
#s(approx (sqrt (* n (+ (PI) (PI)))) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.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)))))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (*.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (log.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ 1 2)) (pow (* n (+ (PI) (PI))) (/ k 2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (PI.f64) n))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))))))))
#s(approx (pow (* n (+ (PI) (PI))) (/ 1 2)) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))))
#s(approx (sqrt (* n (+ (PI) (PI)))) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64)))))))
#s(approx (/ (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (* n (+ (PI) (PI))) k)) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))
#s(approx (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (*.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* n (+ (PI) (PI)))) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))))
#s(approx (* (pow (* n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt (/ 1 k))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (log.f64 (.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))))

eval22.0ms (0.2%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 056 to 746 computations (75.6% saved)

prune23.0ms (0.2%)

Memory

-24.6MiB live, 22.1MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	179	8	187
Fresh	5	10	15
Picked	3	2	5
Done	0	3	3
Total	187	23	210

Accuracy

100.0%

Counts

210 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 k))
	56.0%	(/.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (.f64 #s(literal -1/2 binary64) k))) (sqrt.f64 k))
✓	99.1%	(.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ (- 1 k) 2) (fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
✓	46.6%	(.f64 (pow.f64 k (neg.f64 #s(literal 1/2 binary64))) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	46.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))))
✓	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	96.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) #s(approx (pow ( (+ (PI) (PI)) n) (/ (- 1 k) 2)) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) k) (log.f64 (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))))))
	43.5%	(.f64 (exp.f64 (.f64 (log.f64 k) (neg.f64 #s(literal 1/2 binary64)))) #s(approx (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	99.3%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) n)))) (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) #s(approx (/ k 2) (.f64 #s(literal 1/2 binary64) k)))))
	53.9%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) (/.f64 #s(approx (pow ( n (+ (PI) (PI))) (/ 1 2)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) n)))) #s(approx (pow (* n (+ (PI) (PI))) (/ k 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) #s(literal 1 binary64)))))
	46.8%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 n))))
	46.9%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))))
	46.6%	(.f64 #s(approx (pow k (neg 1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) #s(approx (pow ( n (+ (PI) (PI))) (/ (- 1 k) 2)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))))
	50.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 k k) k)) (.f64 (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n)))) #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 k n) (+.f64 (PI.f64) (PI.f64))))) k))
	46.6%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (/.f64 (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n)) (sqrt.f64 k)))
	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64))))
	36.2%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (*.f64 (sqrt.f64 (+.f64 (PI.f64) (PI.f64))) (sqrt.f64 (/.f64 n k))))
✓	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n) k)))
	34.3%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) n))) k)))
✓	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 n k))))
	36.4%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64))))
	36.5%	#s(approx (/ (pow (* (+ (PI) (PI)) n) (/ (- 1 k) 2)) (sqrt k)) (sqrt.f64 (.f64 (.f64 n (/.f64 (PI.f64) k)) #s(literal 2 binary64))))
	79.8%	#s(approx (/ (* (pow k (neg 1/2)) (pow (* n (+ (PI) (PI))) (/ 1 2))) (pow (* n (+ (PI) (PI))) (/ k 2))) (/.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n) k)) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) k) (log.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) n))))))

Compiler

Compiled 1 112 to 720 computations (35.3% saved)

regimes50.0ms (0.5%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
12.0ms	n
12.0ms	k
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
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.3%	1	`k`
99.3%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes75.0ms (0.8%)

Memory

-21.4MiB live, 28.7MiB allocated; 43ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	n
9.0ms	k
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
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`
99.1%	1	`k`
99.1%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes24.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

4 calls:

6.0ms	k
6.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
6.0ms	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
98.2%	2	`k`
60.0%	3	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
97.9%	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))))`
60.0%	3	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes25.0ms (0.3%)

Memory

-30.3MiB live, 18.3MiB allocated; 4ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Outputs

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

Calls

4 calls:

9.0ms	k
5.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
5.0ms	n
4.0ms	(.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
46.9%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
46.9%	1	`n`
46.9%	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))))`
46.9%	1	`k`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes16.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	k
4.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
4.0ms	n
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
46.8%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
46.8%	1	`n`
46.8%	1	`k`
46.8%	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))))`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes15.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	k
4.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
3.0ms	n
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
46.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
46.6%	1	`n`
46.6%	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))))`
46.6%	1	`k`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes10.0ms (0.1%)

Memory

-36.9MiB live, 10.3MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	k
2.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
2.0ms	n
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
36.5%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
36.5%	1	`n`
36.5%	1	`k`
36.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

1.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)
1.0ms	n
1.0ms	k
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
36.4%	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))))`
36.4%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
36.4%	1	`k`
36.4%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.4%	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))))`
36.4%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) n)`
36.4%	1	`k`
36.4%	1	`n`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch17.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0036556997652624546	39.500134284326656

Samples

10.0ms

128×

valid

Compiler

Compiled 355 to 354 computations (0.3% saved)

Precisions

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

ival-pow: 3.0ms (45.4% of total)

ival-sqrt: 1.0ms (15.1% of total)

ival-div!: 1.0ms (15.1% of total)

ival-mult!: 1.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

derivations3.0ms (0%)

Memory

-42.7MiB live, 3.9MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 114 to 75 computations (34.2% saved)

preprocess82.0ms (0.9%)

Memory: 29.5MiB live, 169.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 129 to 88 computations (31.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze125.0ms (1.3%)

sample2.5s (26%)

preprocess80.0ms (0.8%)

series84.0ms (0.9%)

rewrite1.9s (19.6%)

eval19.0ms (0.2%)

prune13.0ms (0.1%)

series190.0ms (2%)

rewrite1.4s (14.2%)

eval29.0ms (0.3%)

prune33.0ms (0.3%)

series65.0ms (0.7%)

rewrite1.4s (14.9%)

eval66.0ms (0.7%)

prune19.0ms (0.2%)

series49.0ms (0.5%)

rewrite1.3s (13.5%)

eval22.0ms (0.2%)

prune23.0ms (0.2%)

regimes50.0ms (0.5%)

regimes75.0ms (0.8%)

regimes24.0ms (0.2%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch17.0ms (0.2%)

derivations3.0ms (0%)

preprocess82.0ms (0.9%)

end0.0ms (0%)

Profiling