Metrics for Toniolo and Linder, Equation (3b), real

start0.0ms (0%)

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

analyze263.0ms (3.4%)

Memory

-57.3MiB live, 341.3MiB allocated; 119ms 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%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
53.1%	53%	46.8%	0.1%	0%	0%	0%	8
60.9%	60.8%	39%	0.1%	0%	0%	0%	9
60.9%	60.8%	39%	0.1%	0%	0%	0%	10
64.8%	64.7%	35.1%	0.1%	0%	0%	0%	11
68.4%	68.3%	31.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (22.3%)

Memory

153.2MiB live, 2 112.2MiB allocated; 488ms collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 735.0ms (62% of total)

ival-pow2: 245.0ms (20.7% of total)

ival-mult!: 86.0ms (7.3% of total)

ival-sqrt: 61.0ms (5.1% of total)

ival-div!: 37.0ms (3.1% of total)

ival-add!: 19.0ms (1.6% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess59.0ms (0.8%)

Memory

-27.2MiB live, 61.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	142	163
2	566	163
3	3361	163

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 30 to 26 computations (13.3% saved)

series48.0ms (0.6%)

Memory

16.7MiB live, 72.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	2959

Stop Event

1×	iter-limit

Counts

13 → 63

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 kx #s(literal 2 binary64)))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 ky (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (sin.f64 th))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	ky	@	0	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms	th	@	0	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms	kx	@	0	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms	kx	@	inf	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
3.0ms	ky	@	-inf	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)

rewrite62.0ms (0.8%)

Memory

-1.1MiB live, 44.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	22	66
1	69	66
0	491	51

Stop Event

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

Counts

13 → 145

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

Outputs
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(.f64 (pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64)) (sin.f64 kx)) (sin.f64 kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(.f64 (+.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
#s(literal 2 binary64)
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(sin.f64 th)
th

eval41.0ms (0.5%)

Memory: 22.5MiB live, 65.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 482 to 1 105 computations (68.3% saved)

prune26.0ms (0.3%)

Memory

-3.6MiB live, 40.3MiB allocated; 14ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	177	22	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	22	200

Accuracy

100.0%

Counts

200 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	95.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	71.4%	(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	81.3%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (sin.f64 th))
	54.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	47.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
▶	75.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	87.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	49.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64))))) (sin.f64 th))
▶	44.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	40.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	69.4%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
	53.8%	(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	95.9%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
▶	35.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	45.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	52.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	33.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))

Compiler

Compiled 792 to 704 computations (11.1% saved)

series706.0ms (9.2%)

Memory

-151.2MiB live, 196.2MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	875	7037

Stop Event

1×	iter-limit

Counts

36 → 136

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 th) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (pow (sin kx) 2) (pow.f64 kx #s(literal 2 binary64)))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin kx) 2) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
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#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
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#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 kx #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 kx))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 kx #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 kx))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos (* 2 kx))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (cos (* 2 kx)) #s(literal 1 binary64))
#s(approx (cos (* 2 kx)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 kx #s(literal 2 binary64)))))
#s(approx (cos (* 2 kx)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))
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#s(approx (* 2 kx) (*.f64 #s(literal 2 binary64) kx))
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#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (sqrt (pow (sin kx) 2)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
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#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
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#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (* 1/2 (cos (* 2 kx))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(approx (cos (* 2 kx)) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 ky (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin ky) 2) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th)))
#s(approx (* (sin th) (sin ky)) (.f64 ky (+.f64 (sin.f64 th) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))
#s(approx (* (sin th) (sin ky)) (.f64 ky (+.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))))
#s(approx (* (sin th) (sin ky)) (.f64 ky (+.f64 (sin.f64 th) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th)))))))))
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#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (cos (* 2 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 ky #s(literal 2 binary64)))))
#s(approx (cos (* 2 ky)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (cos (* 2 ky)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* 2 ky) (*.f64 #s(literal 2 binary64) ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
#s(approx (* 1/2 (cos (* 2 ky))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(approx (cos (* 2 ky)) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky)))
#s(approx (* (sin th) (sin ky)) (.f64 th (+.f64 (sin.f64 ky) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))
#s(approx (* (sin th) (sin ky)) (.f64 th (+.f64 (sin.f64 ky) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))))
#s(approx (* (sin th) (sin ky)) (.f64 th (+.f64 (sin.f64 ky) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (sin th) (sin.f64 th))

Calls

9 calls:

Time	Variable		Point	Expression
612.0ms	kx	@	0	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
18.0ms	kx	@	inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
11.0ms	ky	@	inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
9.0ms	ky	@	0	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
5.0ms	kx	@	-inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))

rewrite120.0ms (1.6%)

Memory

-21.4MiB live, 121.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	311
0	77	243
1	298	234
0	2801	234

Stop Event

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

Counts

36 → 854

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 th) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(.f64 (sin.f64 ky) (.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (fabs.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (sin.f64 kx))
(*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sin.f64 kx))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
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(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(fabs.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(*.f64 (+.f64 (cos.f64 kx) (neg.f64 (sin.f64 kx))) (-.f64 (cos.f64 kx) (neg.f64 (sin.f64 kx))))
(*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cos.f64 #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(neg.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) kx (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (fabs.f64 kx) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))
(fma.f64 (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (cos.f64 kx)) (fabs.f64 (cos.f64 kx)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (cos.f64 kx)) (neg.f64 (cos.f64 kx)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 (+.f64 kx kx)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 kx kx)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 kx) (cos.f64 kx) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(-.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) kx)))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 kx kx))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 kx kx))))
(cos.f64 (*.f64 #s(literal -2 binary64) kx))
(cos.f64 (fabs.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sin.f64 (+.f64 kx kx)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 kx kx)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 kx kx)) kx)
(*.f64 #s(literal 2 binary64) kx)
(*.f64 kx #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 kx #s(literal 3 binary64)) (pow.f64 kx #s(literal 3 binary64))) (fma.f64 kx kx (-.f64 (.f64 kx kx) (.f64 kx kx))))
(fma.f64 #s(literal 1 binary64) kx (*.f64 #s(literal 1 binary64) kx))
(fma.f64 kx #s(literal 1 binary64) (*.f64 kx #s(literal 1 binary64)))
(-.f64 kx (neg.f64 kx))
(+.f64 (.f64 kx #s(literal 1 binary64)) (.f64 kx #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) kx) (.f64 #s(literal 1 binary64) kx))
(+.f64 kx kx)

eval154.0ms (2%)

Memory: 0.5MiB live, 200.9MiB allocated; 49ms collecting garbage
Compiler: Compiled 12 622 to 4 027 computations (68.1% saved)

prune71.0ms (0.9%)

Memory

-14.0MiB live, 85.0MiB allocated; 15ms collecting garbage

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	709	41	750
Fresh	12	5	17
Picked	3	2	5
Done	0	0	0
Total	724	48	772

Accuracy

100.0%

Counts

772 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	58.7%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	50.5%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
	62.3%	(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
	52.6%	(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	32.1%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
	95.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	89.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	56.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	75.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	54.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	41.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	51.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
	32.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	26.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	16.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
▶	27.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	40.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
▶	30.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	50.1%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	15.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
	66.0%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	22.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	95.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky)))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	32.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
	31.9%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	30.9%	(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	32.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
	26.1%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	26.1%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
	10.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) #s(literal 2 binary64))))) (sin.f64 th))
	20.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
	20.4%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
	21.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
	21.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
	26.1%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
	25.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
	30.9%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
	30.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
	15.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
▶	23.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
▶	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))

Compiler

Compiled 1 852 to 1 732 computations (6.5% saved)

series108.0ms (1.4%)

Memory

13.0MiB live, 201.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	930	7695

Stop Event

1×	iter-limit

Counts

33 → 134

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(*.f64 ky (sin.f64 th))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(literal 2 binary64)
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64)))
(pow.f64 ky #s(literal 2 binary64))

Outputs
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
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#s(approx (* 2 kx) (*.f64 #s(literal 2 binary64) kx))
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#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 kx #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (pow.f64 ky #s(literal 2 binary64)))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (* 1/2 (cos (* 2 kx))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(approx (cos (* 2 kx)) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/5040 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 ky (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
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#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
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#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) 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#s(approx (* ky (sin th)) (*.f64 ky (sin.f64 th)))
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#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
#s(approx (+ 1/2 (pow ky 2)) (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) (pow.f64 ky #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (pow ky 2)) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64)))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (.f64 ky th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
#s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal 1/120 binary64) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))
#s(approx (* ky (sin th)) (*.f64 ky th))
#s(approx (* ky (sin th)) (.f64 th (+.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* ky (sin th)) (.f64 th (+.f64 ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) ky (.f64 #s(literal 1/120 binary64) (.f64 ky (pow.f64 th #s(literal 2 binary64)))))))))
#s(approx (* ky (sin th)) (.f64 th (+.f64 ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 ky (pow.f64 th #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) ky))))))))
#s(approx (sin th) (sin.f64 th))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	ky	@	0	((/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th) th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+ 1/2 (pow ky 2)) (pow ky 2))
13.0ms	kx	@	inf	((/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th) th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+ 1/2 (pow ky 2)) (pow ky 2))
11.0ms	kx	@	0	((/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th) th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+ 1/2 (pow ky 2)) (pow ky 2))
10.0ms	kx	@	-inf	((/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th) th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+ 1/2 (pow ky 2)) (pow ky 2))
6.0ms	ky	@	-inf	((/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th) th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))) (+ 1/2 (pow ky 2)) (pow ky 2))

rewrite208.0ms (2.7%)

Memory

12.9MiB live, 239.5MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	434
0	83	309
1	355	265
2	3458	265
0	8294	259

Stop Event

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

Counts

33 → 946

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(*.f64 ky (sin.f64 th))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(literal 2 binary64)
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64)))
(pow.f64 ky #s(literal 2 binary64))

Outputs
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(sin.f64 th)
th
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (neg.f64 (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64) #s(literal 1 binary64)) (sin.f64 kx)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
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(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
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(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))
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(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 (fabs.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
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(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
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(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)))
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(hypot.f64 (sin.f64 kx) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
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(hypot.f64 (sin.f64 kx) (sin.f64 (fabs.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
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(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
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(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
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(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
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(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 kx)
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
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(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
kx
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
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(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))))
ky
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) ky)
(*.f64 #s(literal 1 binary64) (/.f64 ky kx))
(*.f64 (neg.f64 ky) (/.f64 #s(literal 1 binary64) (neg.f64 kx)))
(*.f64 ky (/.f64 #s(literal 1 binary64) kx))
(pow.f64 (/.f64 kx ky) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 ky)) (neg.f64 (neg.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 kx ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx ky) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 kx ky))
(/.f64 (neg.f64 ky) (neg.f64 kx))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 kx ky)))
(/.f64 ky kx)
(neg.f64 (/.f64 ky (neg.f64 kx)))
(neg.f64 (/.f64 (neg.f64 ky) kx))
(exp.f64 (*.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
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(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(.f64 (.f64 (neg.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sin.f64 th) ky) #s(literal 1 binary64)) (sin.f64 kx))
(/.f64 (neg.f64 (*.f64 (neg.f64 ky) (sin.f64 th))) (neg.f64 (neg.f64 (sin.f64 kx))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(/.f64 (*.f64 (neg.f64 ky) (sin.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) ky))))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 kx))))
(neg.f64 (/.f64 (*.f64 (neg.f64 ky) (sin.f64 th)) (sin.f64 kx)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 kx) (.f64 (sin.f64 th) ky))) #s(literal -1 binary64)))
(*.f64 ky (sin.f64 th))
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(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (.f64 ky ky) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (.f64 ky ky)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 ky ky) ky) ky)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(fma.f64 (neg.f64 ky) (neg.f64 ky) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 ky ky) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 ky ky) #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (+.f64 kx kx))) (fma.f64 ky ky #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 ky ky) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (.f64 (.f64 ky ky) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
(fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (fma.f64 ky ky #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx kx))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))) (.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (fma.f64 ky ky #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))) (*.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (neg.f64 ky) ky) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 ky) ky (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 ky ky (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (.f64 ky ky)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (*.f64 ky ky)))
(+.f64 (.f64 (.f64 ky ky) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))) (.f64 (.f64 ky ky) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 ky ky (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 ky ky #s(literal 1/2 binary64)))
(+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(+.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 ky ky (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (*.f64 ky ky))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 ky) ky) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 ky ky) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 ky ky) ky) ky)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 ky ky) (-.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 ky ky) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) #s(literal 1/4 binary64)) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (neg.f64 ky) ky) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 ky ky) ky) ky (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 ky) ky)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 ky ky) ky) ky))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 ky ky))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 ky ky) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 ky ky) ky) ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 ky ky) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 ky ky) ky) ky)) (-.f64 #s(literal 1/2 binary64) (.f64 ky ky)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 ky ky) ky) ky (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 ky ky) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky) #s(literal 1/8 binary64)) (fma.f64 (.f64 ky ky) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 (-.f64 (*.f64 (neg.f64 ky) ky) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (.f64 ky ky) #s(literal 1/2 binary64)) (pow.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (exp.f64 (log.f64 ky)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 ky)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (fabs.f64 ky) #s(literal 1 binary64)) (pow.f64 (fabs.f64 ky) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (neg.f64 ky) #s(literal 1 binary64)) (pow.f64 (neg.f64 ky) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 ky #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 ky #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 ky)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 ky) (fabs.f64 ky) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 ky) (neg.f64 ky) #s(literal 1/2 binary64))
(fma.f64 (*.f64 ky ky) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 ky ky #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 ky ky))) (/.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 ky ky))))
(-.f64 (*.f64 ky ky) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 ky) ky))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 ky ky) (-.f64 (.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 ky ky) ky) ky) (.f64 ky ky)) (fma.f64 (.f64 ky ky) (-.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 ky ky) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 ky) ky)))
(+.f64 #s(literal 1/2 binary64) (*.f64 ky ky))
(.f64 (pow.f64 (.f64 ky ky) #s(literal 1/2 binary64)) (pow.f64 (*.f64 ky ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 ky)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 ky)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 ky) #s(literal 1 binary64)) (pow.f64 (fabs.f64 ky) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 ky) #s(literal 1 binary64)) (pow.f64 (neg.f64 ky) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 ky #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 ky #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 ky)))
(*.f64 (fabs.f64 ky) (fabs.f64 ky))
(*.f64 (neg.f64 ky) (neg.f64 ky))
(.f64 (.f64 ky ky) #s(literal 1 binary64))
(*.f64 ky ky)
(pow.f64 (exp.f64 (log.f64 ky)) #s(literal 2 binary64))
(pow.f64 (*.f64 ky ky) #s(literal 1 binary64))
(pow.f64 ky #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 (log.f64 ky)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 ky)) #s(literal -1 binary64)))
(/.f64 ky (pow.f64 ky #s(literal -1 binary64)))
(fabs.f64 (*.f64 ky ky))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 ky))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 ky) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 ky) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 ky) #s(literal 2 binary64))))

eval232.0ms (3%)

Memory: 4.6MiB live, 332.0MiB allocated; 73ms collecting garbage
Compiler: Compiled 18 501 to 5 810 computations (68.6% saved)

prune101.0ms (1.3%)

Memory

11.5MiB live, 194.1MiB allocated; 39ms collecting garbage

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	1 293	41	1 334
Fresh	13	28	41
Picked	4	1	5
Done	0	2	2
Total	1 310	72	1 382

Accuracy

100.0%

Counts

1 382 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	58.7%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	50.5%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
	62.3%	(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
	27.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
	31.6%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
	52.6%	(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	89.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky)) (sin.f64 ky)))
	66.0%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
	99.6%	(/.f64 (sin.f64 th) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	32.1%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
▶	34.0%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
	40.2%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
▶	56.2%	(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	95.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	31.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.9%	(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	56.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	75.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	41.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	32.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	26.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	16.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
	16.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	30.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	18.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
	18.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
	30.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
	17.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	2.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
	18.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
	22.8%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
	15.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
	66.0%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	22.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	95.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky)))
	34.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	32.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
	31.9%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	27.7%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
	31.6%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
	30.9%	(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	34.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
	32.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
	26.1%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	20.4%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
	21.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
	21.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
	15.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
✓	23.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
	17.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
	18.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
▶	18.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
	23.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
	23.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
	23.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
	22.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
	1.7%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
	20.0%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
	15.0%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
▶	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
	20.8%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))

Compiler

Compiled 3 103 to 2 918 computations (6% saved)

series84.0ms (1.1%)

Memory

27.2MiB live, 162.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	927	7588

Stop Event

1×	iter-limit

Counts

24 → 122

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (sin th) th)
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(*.f64 (sin.f64 th) ky)
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))

Outputs
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (.f64 #s(literal 1/120 binary64) ky)))) (.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky (sin.f64 th)) kx))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 ky (sin.f64 th))) (*.f64 ky (sin.f64 th))) kx))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (fma.f64 ky (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) (.f64 ky (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (.f64 ky (sin.f64 th)))))) (.f64 #s(literal -1/6 binary64) (.f64 ky (sin.f64 th)))))) kx))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (fma.f64 ky (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 ky (sin.f64 th)) (fma.f64 #s(literal 1/720 binary64) (.f64 ky (sin.f64 th)) (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 ky (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (.f64 ky (sin.f64 th))))))))) (fma.f64 #s(literal -1/36 binary64) (.f64 ky (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (.f64 ky (sin.f64 th)))))) (.f64 #s(literal -1/6 binary64) (*.f64 ky (sin.f64 th)))))) kx))
#s(approx (/ 1 (sin kx)) (/.f64 #s(literal 1 binary64) kx))
#s(approx (/ 1 (sin kx)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))) kx))
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#s(approx (sin kx) (sin.f64 kx))
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#s(approx (/ 1 (sin kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
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#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
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(cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 3 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#s(approx (* (sin th) ky) (*.f64 ky (sin.f64 th)))
#s(approx (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) ky))
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#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/5040 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx)))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx)) (/.f64 ky (sin.f64 kx)))))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))))
#s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (/.f64 ky (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx)))))
#s(approx (* (sin th) ky) (*.f64 ky th))
#s(approx (* (sin th) ky) (.f64 th (+.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (sin th) ky) (.f64 th (+.f64 ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) ky (.f64 #s(literal 1/120 binary64) (.f64 ky (pow.f64 th #s(literal 2 binary64)))))))))
#s(approx (* (sin th) ky) (.f64 th (+.f64 ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) ky (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 ky (pow.f64 th #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) ky))))))))
#s(approx (sin th) (sin.f64 th))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	kx	@	-inf	((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (sin th) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (* (/ 1 (sin kx)) (* (sin th) ky)) (/ 1 (sin kx)) 1 (* (sin th) ky) (/ (sin th) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky))) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
9.0ms	ky	@	-inf	((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (sin th) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (* (/ 1 (sin kx)) (* (sin th) ky)) (/ 1 (sin kx)) 1 (* (sin th) ky) (/ (sin th) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky))) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
6.0ms	ky	@	inf	((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (sin th) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (* (/ 1 (sin kx)) (* (sin th) ky)) (/ 1 (sin kx)) 1 (* (sin th) ky) (/ (sin th) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky))) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
6.0ms	ky	@	0	((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (sin th) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (* (/ 1 (sin kx)) (* (sin th) ky)) (/ 1 (sin kx)) 1 (* (sin th) ky) (/ (sin th) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky))) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
6.0ms	kx	@	inf	((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (sin th) (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (* (/ 1 (sin kx)) (* (sin th) ky)) (/ 1 (sin kx)) 1 (* (sin th) ky) (/ (sin th) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky))) (/ (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin ky)) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))

rewrite104.0ms (1.4%)

Memory

-35.8MiB live, 107.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	251
0	69	189
1	314	176
0	2930	176

Stop Event

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

Counts

24 → 267

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (sin th) th)
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(*.f64 (sin.f64 th) ky)
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))

Outputs
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
th
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)))
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(pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
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(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 kx)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
kx
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(*.f64 #s(approx (sin th) th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(*.f64 (/.f64 #s(literal 1 binary64) kx) ky)
(*.f64 (neg.f64 ky) (/.f64 #s(literal 1 binary64) (neg.f64 kx)))
(*.f64 #s(literal 1 binary64) (/.f64 ky kx))
(*.f64 ky (/.f64 #s(literal 1 binary64) kx))
(pow.f64 (/.f64 kx ky) #s(literal -1 binary64))
(/.f64 (*.f64 ky #s(literal 1 binary64)) kx)
(/.f64 (neg.f64 (neg.f64 ky)) (neg.f64 (neg.f64 kx)))
(/.f64 (neg.f64 ky) (neg.f64 kx))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 kx ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx ky) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 kx ky))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 kx ky)))
(/.f64 ky kx)
(neg.f64 (/.f64 ky (neg.f64 kx)))
(neg.f64 (/.f64 (neg.f64 ky) kx))
#s(approx (sin th) th)
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky)
(.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
(.f64 ky (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(/.f64 (.f64 (.f64 (sin.f64 th) ky) #s(literal -1 binary64)) (neg.f64 (sin.f64 kx)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (sin.f64 th) ky)) (neg.f64 (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) ky)) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 kx) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 kx))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) ky)
(.f64 (.f64 #s(literal 1 binary64) ky) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) ky) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) ky))
(*.f64 ky (sin.f64 th))
(*.f64 (sin.f64 th) ky)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 th) ky)) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 th) (neg.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 th))
(.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(pow.f64 (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(/.f64 (.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(.f64 (neg.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))) (neg.f64 (neg.f64 (sin.f64 ky))))
(/.f64 (neg.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))))
(/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))))
(neg.f64 (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))
(.f64 (.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin th) th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (neg.f64 #s(approx (sin th) th)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 #s(approx (sin th) th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (sin th) th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin th) th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (neg.f64 #s(approx (sin th) th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (neg.f64 #s(approx (sin th) th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (sin.f64 ky) #s(approx (sin th) th)))))
(neg.f64 (/.f64 #s(approx (sin th) th) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sin th) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (neg.f64 (sin.f64 ky))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))

eval82.0ms (1.1%)

Memory: -11.0MiB live, 140.7MiB allocated; 46ms collecting garbage
Compiler: Compiled 8 962 to 2 209 computations (75.4% saved)

prune92.0ms (1.2%)

Memory

5.2MiB live, 198.9MiB allocated; 31ms collecting garbage

Pruning

86 alts after pruning (78 fresh and 8 done)

	Pruned	Kept	Total
New	524	28	552
Fresh	14	50	64
Picked	0	5	5
Done	0	3	3
Total	538	86	624

Accuracy

100.0%

Counts

624 → 86

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓	96.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	58.7%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	50.5%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
	62.3%	(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
	27.7%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
	31.6%	(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
	52.6%	(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	89.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky)) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 th) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	32.1%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
	30.7%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
✓	34.0%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
	30.2%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))))
	30.9%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
	41.8%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
	24.4%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
	99.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	34.0%	(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
	99.3%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	56.2%	(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	39.3%	(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
	41.1%	(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
	23.1%	(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
	95.6%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
	31.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	13.9%	(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	62.0%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
	34.0%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	56.3%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	75.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	32.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	26.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	16.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
	16.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	30.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	18.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
	18.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
	30.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
	17.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
	18.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
	22.8%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
	56.3%	(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	15.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
	66.0%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	22.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	95.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky)))
	34.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	32.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
	31.9%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	31.6%	(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
	30.9%	(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	32.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
	26.1%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
	20.4%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
	21.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
	15.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
	11.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
✓	23.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
	17.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
	18.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
✓	18.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
	23.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
	18.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
	23.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
	18.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
	22.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
	1.7%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
	15.0%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
✓	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
	17.3%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
	17.5%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
	34.2%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
	20.7%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
	20.7%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
	20.8%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
	20.8%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
	17.4%	#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))

Compiler

Compiled 3 216 to 2 339 computations (27.3% saved)

regimes416.0ms (5.4%)

Memory

35.8MiB live, 723.4MiB allocated; 143ms collecting garbage

Counts

133 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1 binary64))))) (sin.f64 th))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Calls

9 calls:

66.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
51.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
47.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
45.0ms	kx
42.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
99.7%	1	`(sin.f64 th)`
99.7%	1	`(sin.f64 kx)`
99.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.7%	1	`(sin.f64 ky)`
99.7%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.7%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
99.7%	1	`kx`
99.7%	1	`ky`
99.7%	1	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes321.0ms (4.2%)

Memory

-3.1MiB live, 631.3MiB allocated; 155ms collecting garbage

Counts

108 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

Calls

9 calls:

62.0ms	(sin.f64 th)
49.0ms	kx
35.0ms	ky
34.0ms	(sin.f64 kx)
29.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.6%	1	`(sin.f64 th)`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.6%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes308.0ms (4%)

Memory

16.6MiB live, 628.6MiB allocated; 55ms collecting garbage

Counts

107 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

9 calls:

65.0ms	th
41.0ms	ky
32.0ms	(sin.f64 kx)
28.0ms	(sin.f64 th)
28.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Results

Accuracy	Segments	Branch
82.7%	3	`(sin.f64 th)`
77.3%	3	`(sin.f64 kx)`
77.8%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
79.6%	2	`(sin.f64 ky)`
88.4%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
75.0%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
78.7%	3	`kx`
79.6%	2	`ky`
82.8%	2	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes35.0ms (0.5%)

Memory

-29.2MiB live, 77.0MiB allocated; 13ms collecting garbage

Counts

105 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
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#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

23.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.4%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes26.0ms (0.3%)

Memory

29.6MiB live, 76.0MiB allocated; 2ms collecting garbage

Counts

95 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

21.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.4%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes29.0ms (0.4%)

Memory

-16.1MiB live, 73.6MiB allocated; 6ms collecting garbage

Counts

94 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

22.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.4%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes27.0ms (0.4%)

Memory

9.0MiB live, 61.5MiB allocated; 3ms collecting garbage

Counts

93 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) #s(approx (sin th) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

22.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.3%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes26.0ms (0.3%)

Memory

20.8MiB live, 65.6MiB allocated; 3ms collecting garbage

Counts

91 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (.f64 (PI.f64) #s(literal 1/2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 kx (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))) (sin.f64 th))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

22.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.3%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes24.0ms (0.3%)

Memory

-26.8MiB live, 66.0MiB allocated; 3ms collecting garbage

Counts

81 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

18.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.3%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes23.0ms (0.3%)

Memory

2.0MiB live, 55.7MiB allocated; 2ms collecting garbage

Counts

80 → 5

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

19.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.3%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes103.0ms (1.3%)

Memory

-6.3MiB live, 231.4MiB allocated; 11ms collecting garbage

Counts

79 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))

Outputs

(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))

(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

5 calls:

21.0ms	th
20.0ms	ky
19.0ms	(sin.f64 ky)
18.0ms	(sin.f64 th)
18.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
79.4%	2	`ky`
79.5%	2	`(sin.f64 ky)`
66.0%	1	`(sin.f64 th)`
67.8%	2	`th`
79.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 18 to 25 computations (-38.9% saved)

regimes169.0ms (2.2%)

Memory

60.4MiB live, 279.7MiB allocated; 69ms collecting garbage

Counts

69 → 3

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) (.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))

(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))

(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

7 calls:

36.0ms	ky
33.0ms	(sin.f64 ky)
27.0ms	kx
20.0ms	(sin.f64 kx)
20.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
66.0%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
66.0%	1	`(sin.f64 kx)`
68.6%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
68.3%	2	`kx`
66.0%	1	`ky`
72.5%	2	`(sin.f64 ky)`
74.1%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 37 to 44 computations (-18.9% saved)

regimes19.0ms (0.2%)

Memory

-16.9MiB live, 29.4MiB allocated; 3ms collecting garbage

Counts

61 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(/.f64 #s(approx (sin th) th) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 ky #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) (sin.f64 ky)))

Outputs

(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))

(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

1 calls:

13.0ms

(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
72.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes45.0ms (0.6%)

Memory

-13.8MiB live, 41.3MiB allocated; 21ms collecting garbage

Counts

54 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) (*.f64 (sin.f64 th) ky)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))

Outputs
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

2 calls:

30.0ms	(sin.f64 ky)
12.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
71.8%	2	`(sin.f64 ky)`
71.8%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes79.0ms (1%)

Memory

13.1MiB live, 151.3MiB allocated; 13ms collecting garbage

Counts

47 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))

Calls

6 calls:

15.0ms	(sin.f64 ky)
14.0ms	kx
14.0ms	ky
11.0ms	th
11.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
66.0%	1	`ky`
66.0%	1	`th`
66.0%	1	`kx`
66.0%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
66.0%	1	`(sin.f64 ky)`
66.0%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 21 to 30 computations (-42.9% saved)

regimes117.0ms (1.5%)

Memory

-5.4MiB live, 233.1MiB allocated; 27ms collecting garbage

Counts

43 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (- 1/2 ( 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 th))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (sin.f64 th) ky)))

Calls

9 calls:

19.0ms	(sin.f64 ky)
14.0ms	(sin.f64 kx)
14.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
13.0ms	ky
12.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Results

Accuracy	Segments	Branch
47.3%	3	`(sin.f64 ky)`
54.3%	2	`th`
51.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
54.3%	3	`(sin.f64 th)`
50.2%	3	`(sin.f64 kx)`
50.0%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
51.4%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
50.0%	2	`kx`
49.7%	3	`ky`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes31.0ms (0.4%)

Memory

13.9MiB live, 58.6MiB allocated; 5ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(approx (sin kx) kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin.f64 kx)) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)) ky))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))))

Calls

3 calls:

12.0ms	(sin.f64 th)
8.0ms	th
8.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
47.9%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
50.1%	3	`(sin.f64 th)`
50.1%	2	`th`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes12.0ms (0.2%)

Memory

-28.8MiB live, 16.4MiB allocated; 5ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))

Calls

1 calls:

7.0ms

th

Results

Accuracy	Segments	Branch
50.0%	2	`th`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes94.0ms (1.2%)

Memory

3.1MiB live, 144.4MiB allocated; 58ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (pow.f64 kx #s(literal 2 binary64))))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (exp.f64 (.f64 (log.f64 (/.f64 kx ky)) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) ky) #s(literal -1 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) ky)))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))

Calls

9 calls:

32.0ms	(sin.f64 th)
9.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
7.0ms	ky
7.0ms	(sin.f64 kx)
7.0ms	th

Results

Accuracy	Segments	Branch
41.7%	2	`(sin.f64 ky)`
41.0%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
45.6%	4	`ky`
46.0%	3	`(sin.f64 th)`
39.3%	1	`(sin.f64 kx)`
45.5%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
39.3%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
39.3%	1	`kx`
45.5%	2	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes11.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))

Outputs

(/.f64 #s(approx (sin th) th) (/.f64 (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky)) #s(approx (sin ky) ky)))

(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))

Calls

2 calls:

5.0ms	th
5.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
42.9%	2	`(sin.f64 th)`
44.0%	2	`th`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes45.0ms (0.6%)

Memory

0.7MiB live, 91.0MiB allocated; 9ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))

Outputs

(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))

#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (*.f64 ky #s(approx (sin th) th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))

Calls

9 calls:

8.0ms	(sin.f64 th)
8.0ms	kx
4.0ms	ky
4.0ms	(sin.f64 kx)
4.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
23.2%	1	`(sin.f64 kx)`
25.9%	2	`kx`
25.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
23.2%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
23.2%	1	`(sin.f64 ky)`
23.2%	1	`ky`
23.2%	1	`(sin.f64 th)`
23.2%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
23.2%	1	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes22.0ms (0.3%)

Memory

-19.7MiB live, 30.5MiB allocated; 11ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))))))

Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) (sin.f64 th))

Calls

3 calls:

4.0ms	kx
4.0ms	(sin.f64 th)
3.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
23.2%	1	`(sin.f64 th)`
23.2%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
23.2%	1	`kx`

Compiler

Compiled 7 to 13 computations (-85.7% saved)

regimes35.0ms (0.5%)

Memory

28.1MiB live, 73.2MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin kx) kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(approx ( (sin th) ky) (*.f64 ky th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))

Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))

Calls

9 calls:

7.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
3.0ms	(sin.f64 th)
3.0ms	(sin.f64 ky)
3.0ms	ky
3.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
23.2%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
23.2%	1	`kx`
23.2%	1	`(sin.f64 ky)`
23.2%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
23.2%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
23.2%	1	`(sin.f64 kx)`
23.2%	1	`ky`
23.2%	1	`th`
23.2%	1	`(sin.f64 th)`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes24.0ms (0.3%)

Memory

9.6MiB live, 55.0MiB allocated; 4ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(approx (* (/ 1 (sin kx)) (* (sin th) ky)) (/.f64 (*.f64 ky th) (sin.f64 kx))))

Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 #s(literal 1 binary64) (/.f64 kx ky)))) #s(approx (sin th) th))

Calls

9 calls:

6.0ms	(sin.f64 kx)
2.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
2.0ms	(sin.f64 ky)
2.0ms	kx
2.0ms	ky

Results

Accuracy	Segments	Branch
18.7%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
18.7%	1	`kx`
18.7%	1	`(sin.f64 ky)`
18.7%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
18.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
18.7%	1	`(sin.f64 kx)`
18.7%	1	`ky`
18.7%	1	`th`
18.7%	1	`(sin.f64 th)`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes15.0ms (0.2%)

Memory

-11.9MiB live, 33.6MiB allocated; 4ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))

(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))

Outputs
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) th))

Calls

9 calls:

5.0ms	ky
1.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
1.0ms	(sin.f64 ky)
1.0ms	(sin.f64 th)
1.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
18.6%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
18.6%	1	`th`
18.6%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
18.6%	1	`(sin.f64 kx)`
18.6%	1	`(sin.f64 ky)`
18.6%	1	`ky`
18.6%	1	`kx`
18.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
18.6%	1	`(sin.f64 th)`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes19.0ms (0.2%)

Memory

-19.9MiB live, 28.9MiB allocated; 11ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))

Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) th))

Calls

9 calls:

1.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
1.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
1.0ms	(sin.f64 th)
1.0ms	(sin.f64 ky)
1.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
18.6%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
18.6%	1	`th`
18.6%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
18.6%	1	`(sin.f64 kx)`
18.6%	1	`(sin.f64 ky)`
18.6%	1	`ky`
18.6%	1	`kx`
18.6%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
18.6%	1	`(sin.f64 th)`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999998354784	1.0
0.0ms	0.4132174554627381	0.467455180750566
0.0ms	-0.20865977518463047	-0.12396696098187632
0.0ms	-0.9841765212746224	-0.9617063783269848

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.018928162888514406	1.9552048390688446e-306

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7070854136669119	0.7082180885206935
0.0ms	-1.0	-0.9841765212746224

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.12396696098187632	-0.11015599305262293

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.018928162888514406	1.9552048390688446e-306

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch29.0ms (0.4%)

Memory

7.2MiB live, 52.1MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.22165656468652684	1965065.1233107303

Samples

22.0ms

144×

valid

Compiler

Compiled 379 to 378 computations (0.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 9.0ms (49.7% of total)

ival-pow2: 7.0ms (38.7% of total)

ival-sqrt: 1.0ms (5.5% of total)

ival-div!: 1.0ms (5.5% of total)

ival-mult!: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

-2.4MiB live, 42.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.22165656468652684	1965065.1233107303

Samples

20.0ms

112×

valid

Compiler

Compiled 289 to 279 computations (3.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 8.0ms (64.1% of total)

ival-pow2: 2.0ms (16% of total)

ival-sqrt: 1.0ms (8% of total)

ival-div!: 1.0ms (8% of total)

ival-mult!: 1.0ms (8% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.22165656468652684	1965065.1233107303

Compiler

Compiled 352 to 351 computations (0.3% saved)

bsearch25.0ms (0.3%)

Memory

-2.1MiB live, 43.3MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	9.995190936010772e-13	2.4239541253446404e-9

Samples

14.0ms

128×

valid

Compiler

Compiled 283 to 258 computations (8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (54.3% of total)

ival-pow2: 2.0ms (18.1% of total)

ival-sqrt: 1.0ms (9% of total)

ival-div!: 1.0ms (9% of total)

ival-mult!: 1.0ms (9% of total)

adjust: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

-9.3MiB live, 38.5MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3997002335244.7974	16434365248671.316

Samples

23.0ms

96×

valid

Compiler

Compiled 223 to 204 computations (8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow2: 12.0ms (57.5% of total)

ival-sin: 7.0ms (33.5% of total)

ival-sqrt: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch30.0ms (0.4%)

Memory

12.5MiB live, 58.7MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	7.320559420302981e+25	4.3161060716784685e+31

Samples

20.0ms

144×

valid

Compiler

Compiled 505 to 486 computations (3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 11.0ms (69.3% of total)

ival-pow2: 3.0ms (18.9% of total)

ival-sqrt: 1.0ms (6.3% of total)

ival-div!: 1.0ms (6.3% of total)

ival-mult!: 1.0ms (6.3% of total)

adjust: 0.0ms (0% of total)

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

derivations266.0ms (3.5%)

Memory

-5.5MiB live, 309.2MiB allocated; 76ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 399 to 194 computations (51.4% saved)

preprocess926.0ms (12%)

Memory

48.2MiB live, 1 536.4MiB allocated; 226ms collecting garbage

Remove

(negabs th)

(negabs ky)

Compiler

Compiled 10 232 to 7 873 computations (23.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze263.0ms (3.4%)

sample1.7s (22.3%)

preprocess59.0ms (0.8%)

series48.0ms (0.6%)

rewrite62.0ms (0.8%)

eval41.0ms (0.5%)

prune26.0ms (0.3%)

series706.0ms (9.2%)

rewrite120.0ms (1.6%)

eval154.0ms (2%)

prune71.0ms (0.9%)

series108.0ms (1.4%)

rewrite208.0ms (2.7%)

eval232.0ms (3%)

prune101.0ms (1.3%)

series84.0ms (1.1%)

rewrite104.0ms (1.4%)

eval82.0ms (1.1%)

prune92.0ms (1.2%)

regimes416.0ms (5.4%)

regimes321.0ms (4.2%)

regimes308.0ms (4%)

regimes35.0ms (0.5%)

regimes26.0ms (0.3%)

regimes29.0ms (0.4%)

regimes27.0ms (0.4%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes23.0ms (0.3%)

regimes103.0ms (1.3%)

regimes169.0ms (2.2%)

regimes19.0ms (0.2%)

regimes45.0ms (0.6%)

regimes79.0ms (1%)

regimes117.0ms (1.5%)

regimes31.0ms (0.4%)

regimes12.0ms (0.2%)

regimes94.0ms (1.2%)

regimes11.0ms (0.1%)

regimes45.0ms (0.6%)

regimes22.0ms (0.3%)

regimes35.0ms (0.5%)

regimes24.0ms (0.3%)

regimes15.0ms (0.2%)

regimes19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.4%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch28.0ms (0.4%)

bsearch30.0ms (0.4%)

derivations266.0ms (3.5%)

preprocess926.0ms (12%)

end0.0ms (0%)

Profiling