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

start0.0ms (0%)

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

analyze224.0ms (2.4%)

Memory

2.4MiB live, 200.1MiB allocated; 47ms 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)

sample2.0s (21.9%)

Memory

67.9MiB live, 2 182.1MiB allocated; 576ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

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

ival-sin: 794.0ms (64.1% of total)

ival-pow2: 196.0ms (15.8% of total)

ival-div!: 72.0ms (5.8% of total)

ival-add!: 68.0ms (5.5% of total)

ival-sqrt: 55.0ms (4.4% of total)

ival-mult!: 52.0ms (4.2% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess56.0ms (0.6%)

Memory

-43.9MiB live, 56.4MiB allocated; 13ms 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
▶	93.4%	(*.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)

series32.0ms (0.3%)

Memory

17.9MiB live, 63.3MiB allocated; 4ms collecting garbage

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	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)
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	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	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)

rewrite184.0ms (2%)

Memory

13.3MiB live, 205.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	3085
0	442	2885
1	3351	2637
0	8448	2293

Stop Event

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

Counts

76 → 239

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
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2)))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2)))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (sin th) #s(hole binary64 (sin 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 (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 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 (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 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (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)))))
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ky
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(hypot.f64 (sin.f64 kx) (sin.f64 ky))
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(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
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(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
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(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))
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(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
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(sin.f64 kx)
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kx
#s(literal 2 binary64)
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(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))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(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 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.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)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64)))
(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))))
(+.f64 (cosh.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64))))
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (.f64 kx kx))) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 kx kx) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (-.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) (fma.f64 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (-.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)))) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal 1/4 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64)))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))))) (.f64 kx kx) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 (.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (.f64 kx kx))) (.f64 (.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 kx kx) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (-.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) (fma.f64 (.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (-.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))) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal 1/4 binary64)))))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -5 binary64))) #s(literal -1/4 binary64)))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal -3 binary64))))) (.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (.f64 kx kx)) (fabs.f64 (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (fabs.f64 (sin.f64 ky))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #s(literal 1/3 binary64)) (-.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 kx kx))) (fabs.f64 (sin.f64 ky)))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (.f64 kx kx) (fabs.f64 (sin.f64 ky))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
#s(approx (pow (sin kx) 2) (*.f64 kx kx))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx)))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 kx kx) #s(literal 2/45 binary64)) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.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))))))
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.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 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (.f64 (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (.f64 (.f64 ky ky) (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.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) (fma.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (-.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))) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.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) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.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 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (.f64 (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 ky (neg.f64 (.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 ky ky)) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (-.f64 (+.f64 (neg.f64 (.f64 (.f64 ky ky) (+.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 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) (fma.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (-.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 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.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 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (.f64 ky ky)) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (fabs.f64 (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/3 binary64)) (-.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 ky ky))) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (.f64 ky ky) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 th th) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (sin.f64 th))

eval27.0ms (0.3%)

Memory: 7.4MiB live, 53.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 291 to 1 166 computations (64.6% saved)

prune19.0ms (0.2%)

Memory

-19.8MiB live, 35.4MiB allocated; 5ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	210	20	230
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	20	231

Accuracy

100.0%

Counts

231 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	95.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	50.5%	(*.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))
	82.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (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))
▶	41.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	38.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
	28.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	44.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	44.0%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	49.3%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
▶	49.7%	(*.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))
	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	95.4%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	99.6%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))
	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	38.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
▶	36.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
	49.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

Compiler

Compiled 658 to 608 computations (7.6% saved)

series52.0ms (0.6%)

Memory

-13.9MiB live, 32.8MiB allocated; 2ms collecting garbage

Counts

34 → 99

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

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky (sin th)) (fabs (sin kx)))))
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2)))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (pow ky 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (pow kx 2) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 1))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))))
#s(approx (* 2 kx) #s(hole binary64 (* 2 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky (sin th))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (* (pow ky 2) (- (+ 1 (* 1/2 (/ 1 (pow ky 2)))) (* 1/2 (/ (cos (* 2 kx)) (pow ky 2)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky th)))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (sin ky))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	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 th) ky) (fabs (sin kx))) (* (sin th) ky) (fabs (sin kx)) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) 2 (pow (sin ky) 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)) (+ (* ky ky) (- 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) (/ (* (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)))))
7.0ms	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 th) ky) (fabs (sin kx))) (* (sin th) ky) (fabs (sin kx)) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) 2 (pow (sin ky) 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)) (+ (* ky ky) (- 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) (/ (* (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)))))
4.0ms	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 th) ky) (fabs (sin kx))) (* (sin th) ky) (fabs (sin kx)) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) 2 (pow (sin ky) 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)) (+ (* ky ky) (- 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) (/ (* (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)))))
4.0ms	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 th) ky) (fabs (sin kx))) (* (sin th) ky) (fabs (sin kx)) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) 2 (pow (sin ky) 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)) (+ (* ky ky) (- 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) (/ (* (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)))))
4.0ms	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 th) ky) (fabs (sin kx))) (* (sin th) ky) (fabs (sin kx)) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) 2 (pow (sin ky) 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)) (+ (* ky ky) (- 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) (/ (* (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)))))

rewrite227.0ms (2.5%)

Memory

-7.6MiB live, 177.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	3920
0	665	3431
1	4855	3395
0	8118	3215

Stop Event

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

Counts

133 → 800

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
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 th) ky)
(fabs.f64 (sin.f64 kx))
(*.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 #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)))))
#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))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(fma.f64 ky 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))))
#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)
(/.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))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky (sin th)) (fabs (sin kx)))))
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2)))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (pow ky 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (pow kx 2) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 1))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))))
#s(approx (* 2 kx) #s(hole binary64 (* 2 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky (sin th))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (* (pow ky 2) (- (+ 1 (* 1/2 (/ 1 (pow ky 2)))) (* 1/2 (/ (cos (* 2 kx)) (pow ky 2)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky th)))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (sin ky))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (sin th) #s(hole binary64 (sin 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 (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 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (neg.f64 (sin.f64 ky)) (neg.f64 (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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 #s(literal 1 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (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 ky ky))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (fabs.f64 (sin.f64 kx)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (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 ky ky)))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx)))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx 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 (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 ky ky)))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.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 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 (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))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.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))) (fabs.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))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.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))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(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))) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky 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))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (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))))
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kx
(sin.f64 th)
th
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(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(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)) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky 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)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.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)) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 kx))
(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) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(hypot.f64 (sin.f64 kx) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky 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) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.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) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.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 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/2 binary64) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (neg.f64 (.f64 kx kx)) (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (.f64 kx kx)) (fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64)))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) #s(literal 1/4 binary64))))) (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (neg.f64 (.f64 kx kx)) (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (.f64 kx kx)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) #s(literal 1/4 binary64))))) (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64)))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64))) (.f64 kx kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (*.f64 (sin.f64 th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (pow (sin kx) 2) (*.f64 kx kx))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx)))
#s(approx (pow (sin kx) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 kx kx) #s(literal 2/45 binary64)) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 kx kx (*.f64 ky ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (*.f64 ky ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (.f64 ky ky)))
#s(approx (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 kx))) (+.f64 (neg.f64 (*.f64 kx kx)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 kx))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 kx kx) #s(literal -1 binary64)) (.f64 kx kx) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 kx))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 kx kx) #s(literal 1/3 binary64)) (.f64 kx kx) #s(literal -1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 kx)) #s(literal 1 binary64))
#s(approx (cos (* 2 kx)) (fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (cos (* 2 kx)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 kx kx) #s(literal -2 binary64)) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (cos (* 2 kx)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 kx kx) #s(literal 2/3 binary64)) (.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* 2 kx) (+.f64 kx kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 kx)) (cos.f64 (+.f64 kx kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sin.f64 th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (.f64 ky ky) (/.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (fabs.f64 (sin.f64 kx)))) (.f64 (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (.f64 (.f64 ky ky) (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))))) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (.f64 ky ky) (/.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (fabs.f64 (sin.f64 kx)))) (.f64 (.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal 1/2 binary64))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (fabs.f64 (sin.f64 kx))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 ky (neg.f64 (.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (.f64 ky ky)) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (-.f64 (+.f64 (neg.f64 (.f64 (.f64 ky ky) (+.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
(pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64))
#s(approx (sin ky) ky)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sin ky) ky) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 1 binary64)))
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (.f64 ky ky)) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (fabs.f64 (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (.f64 ky ky))) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (sin th) ky) (*.f64 (sin.f64 th) ky))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (.f64 ky ky) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (.f64 (*.f64 ky ky) (sin.f64 th)) #s(literal -1/6 binary64) (sin.f64 th)) ky))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (sin.f64 th)) #s(literal 1/120 binary64) (.f64 (sin.f64 th) #s(literal -1/6 binary64))) (*.f64 ky ky) (sin.f64 th)) ky))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (.f64 (fma.f64 (.f64 (.f64 ky ky) (sin.f64 th)) #s(literal -1/5040 binary64) (.f64 (sin.f64 th) #s(literal 1/120 binary64))) (.f64 ky ky))) (*.f64 ky ky) (sin.f64 th)) ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 (+.f64 kx kx)) (.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 ky ky)))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/120 binary64) (/.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/5040 binary64) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 th th) (/.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (/.f64 (*.f64 th ky) (fabs.f64 (sin.f64 kx))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (/.f64 (.f64 (*.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (fma.f64 (/.f64 ky (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 (/.f64 (.f64 (.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64))) (*.f64 th th) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (fma.f64 (/.f64 ky (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 (fma.f64 (/.f64 ky (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (.f64 (/.f64 (.f64 (.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal -1/5040 binary64))) (.f64 th th))) (*.f64 th th) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (* (sin th) ky) (*.f64 th ky))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (.f64 (*.f64 th th) #s(literal -1/6 binary64)) (sin.f64 ky) (sin.f64 ky)) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal 1/120 binary64) (.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) #s(literal 1/120 binary64))) (.f64 th th))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (sin th) (sin.f64 th))

eval79.0ms (0.9%)

Memory: 10.1MiB live, 240.4MiB allocated; 39ms collecting garbage
Compiler: Compiled 7 245 to 2 584 computations (64.3% saved)

prune56.0ms (0.6%)

Memory

38.6MiB live, 137.2MiB allocated; 34ms collecting garbage

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	554	35	589
Fresh	6	9	15
Picked	2	3	5
Done	0	0	0
Total	562	47	609

Accuracy

100.0%

Counts

609 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	52.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	53.8%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
	50.0%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	49.8%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	59.1%	(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
▶	49.9%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	53.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	54.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	56.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
	50.5%	(*.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))
	82.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (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))
	23.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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))
	16.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	44.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	44.0%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	39.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	61.2%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	63.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	43.5%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	27.0%	(*.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))))) #s(approx (sin th) th))
	30.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	3.0%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	42.6%	(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	63.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
	99.6%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))
▶	63.1%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	38.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
✓	36.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
▶	19.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
	36.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
▶	36.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	28.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
	38.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))

Compiler

Compiled 1 758 to 1 595 computations (9.3% saved)

series41.0ms (0.4%)

Memory

12.5MiB live, 102.2MiB allocated; 17ms collecting garbage

Counts

28 → 87

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin ky) 2)) (sin ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sqrt (pow (sin ky) 2))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (* (sin ky) (sqrt (pow (sin ky) 2))))) (* 1/2 (/ 1 (* (sin ky) (sqrt (pow (sin ky) 2))))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (* (sin ky) (sqrt (pow (sin ky) 2))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (* (sin ky) (sqrt (pow (sin ky) 2))))))) (* 1/2 (/ 1 (* (sin ky) (sqrt (pow (sin ky) 2))))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky (sin th)) (fabs (sin kx)))))
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx))))
#s(approx (/ 1 (fabs (sin kx))) #s(hole binary64 (/ 1 (fabs (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (pow (sin ky) 2)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sqrt (pow (sin ky) 2)) 3))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin ky) 2)) 3))))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (+ (* -1 (* (pow kx 2) (+ (* 1/4 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 5))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3)))) (pow (sqrt (pow (sin ky) 2)) 2))))))) (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5)))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin ky) 2)) 3))))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin kx) 2)) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (+ (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2))))))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (+ (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (pow (sin kx) 2))) (* 1/120 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2)))))))))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2))))))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky (sin th))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (pow (sin kx) 2)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sqrt (pow (sin kx) 2)) 3))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/4 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 5))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5)))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky th)))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* -1/6 (* (pow ky 2) th))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (* (sin ky) th) #s(hole binary64 (* th (sin ky))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	kx	@	0	((* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) 1 (/ (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 th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin th) ky) (/ 1 (fabs (sin kx)))) (* (sin th) ky) (/ 1 (fabs (sin kx))) (* (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin th)) (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (* (sin ky) th))
7.0ms	ky	@	inf	((* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) 1 (/ (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 th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin th) ky) (/ 1 (fabs (sin kx)))) (* (sin th) ky) (/ 1 (fabs (sin kx))) (* (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin th)) (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (* (sin ky) th))
5.0ms	ky	@	0	((* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) 1 (/ (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 th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin th) ky) (/ 1 (fabs (sin kx)))) (* (sin th) ky) (/ 1 (fabs (sin kx))) (* (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin th)) (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (* (sin ky) th))
4.0ms	ky	@	-inf	((* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) 1 (/ (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 th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin th) ky) (/ 1 (fabs (sin kx)))) (* (sin th) ky) (/ 1 (fabs (sin kx))) (* (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin th)) (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (* (sin ky) th))
4.0ms	kx	@	inf	((* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) 1 (/ (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 th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin th) ky) (/ 1 (fabs (sin kx)))) (* (sin th) ky) (/ 1 (fabs (sin kx))) (* (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin th)) (* (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin ky) (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (* (sin ky) th))

rewrite247.0ms (2.7%)

Memory

-0.1MiB live, 370.3MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	4582
0	692	3806
1	5358	3744
0	8156	3570

Stop Event

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

Counts

115 → 353

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
#s(literal 1 binary64)
(/.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
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx)))
(*.f64 #s(approx (sin th) th) ky)
#s(approx (sin th) th)
(fabs.f64 (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) ky)
(/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
#s(approx (sin ky) ky)
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) th)
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin ky) 2)) (sin ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sqrt (pow (sin ky) 2))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (* (sin ky) (sqrt (pow (sin ky) 2))))) (* 1/2 (/ 1 (* (sin ky) (sqrt (pow (sin ky) 2))))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (* (sin ky) (sqrt (pow (sin ky) 2))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (* (sin ky) (sqrt (pow (sin ky) 2))))))) (* 1/2 (/ 1 (* (sin ky) (sqrt (pow (sin ky) 2))))))) (/ (sqrt (pow (sin ky) 2)) (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2)))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky (sin th)) (fabs (sin kx)))))
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx))))
#s(approx (/ 1 (fabs (sin kx))) #s(hole binary64 (/ 1 (fabs (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (pow (sin ky) 2)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sqrt (pow (sin ky) 2)) 3))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin ky) 2)) 3))))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (+ (* -1 (* (pow kx 2) (+ (* 1/4 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 5))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3)))) (pow (sqrt (pow (sin ky) 2)) 2))))))) (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 5)))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin ky) 2)) 3))))) (/ 1 (sqrt (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2)))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin kx) 2)) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (+ (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2))))))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) #s(hole binary64 (/ (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (- (+ (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2)))))) (+ (* -1/5040 (sqrt (pow (sin kx) 2))) (* 1/120 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2)))))))))) (+ (* -1/6 (- (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))) (* -1/6 (sqrt (pow (sin kx) 2))))) (* 1/120 (sqrt (pow (sin kx) 2))))))) (* -1/6 (sqrt (pow (sin kx) 2)))))) ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2)))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky (sin th))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ 1 (sqrt (pow (sin kx) 2)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sqrt (pow (sin kx) 2)) 3))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/4 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 5))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 5)))) (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (/ 1 (sqrt (pow (sin kx) 2))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky th)))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* -1/6 (* (pow ky 2) th))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))))
#s(approx (* (sin ky) th) #s(hole binary64 (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (* (sin ky) th) #s(hole binary64 (* th (sin ky))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (sin th) #s(hole binary64 (sin 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 (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 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (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))))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 ky)) (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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))
(/.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 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 kx kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(fabs.f64 (hypot.f64 (sin.f64 kx) (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))) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(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))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
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(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) #s(approx (sin ky) ky))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) #s(approx (sin ky) ky))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) #s(approx (sin ky) ky))
(hypot.f64 #s(approx (sin ky) ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 #s(approx (sin ky) ky) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 #s(approx (sin ky) ky) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 #s(approx (sin ky) ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (sin.f64 kx) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) th)
(*.f64 th (sin.f64 ky))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (fma.f64 (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/2 binary64) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) (.f64 kx kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) (.f64 kx kx) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 kx kx) (fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64)))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) #s(literal 1/4 binary64)))))) (fma.f64 (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 th) (sin.f64 ky))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 (/.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64))) (.f64 kx kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) (.f64 kx kx) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 kx kx) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64))))) #s(literal 1/4 binary64)))))) (fma.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sin.f64 ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) #s(literal -1/2 binary64)))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 kx kx) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (.f64 kx kx)) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)))) (.f64 kx kx) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))))
#s(approx (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64))) (.f64 kx kx)) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)))) (.f64 kx kx) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64))) (.f64 kx kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (.f64 ky ky)) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (fabs.f64 (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (.f64 ky ky))) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (* (sin th) ky) (*.f64 (sin.f64 th) ky))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (.f64 (.f64 ky ky) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (.f64 ky ky)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64))) (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (.f64 (*.f64 ky ky) (sin.f64 th)) #s(literal -1/6 binary64) (sin.f64 th)) ky))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (sin.f64 th)) #s(literal 1/120 binary64) (.f64 (sin.f64 th) #s(literal -1/6 binary64))) (*.f64 ky ky) (sin.f64 th)) ky))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (.f64 (fma.f64 (.f64 (.f64 ky ky) (sin.f64 th)) #s(literal -1/5040 binary64) (.f64 (sin.f64 th) #s(literal 1/120 binary64))) (.f64 ky ky))) (*.f64 ky ky) (sin.f64 th)) ky))
#s(approx (* (sin ky) th) (*.f64 th ky))
#s(approx (* (sin ky) th) (.f64 (fma.f64 (.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky))
#s(approx (* (sin ky) th) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) th) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) th)) (*.f64 ky ky) th) ky))
#s(approx (* (sin ky) th) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 ky ky) th) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) th)) (.f64 #s(literal -1/6 binary64) th)) (*.f64 ky ky) th) ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
#s(approx (* (sin ky) th) (*.f64 (sin.f64 ky) th))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (.f64 (fma.f64 (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/120 binary64) (/.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/5040 binary64) (/.f64 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 th th) (/.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (sin th) th)
#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (/.f64 (*.f64 th ky) (fabs.f64 (sin.f64 kx))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (/.f64 (.f64 (*.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) ky) (fabs.f64 (sin.f64 kx)))) (*.f64 th th) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (.f64 (fma.f64 (fma.f64 (/.f64 ky (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 th th) ky) (fabs.f64 (sin.f64 kx))) #s(literal -1/5040 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) ky) (fabs.f64 (sin.f64 kx)))) (.f64 th th))) (*.f64 th th) (/.f64 ky (fabs.f64 (sin.f64 kx)))) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (.f64 (*.f64 th th) #s(literal -1/6 binary64)) (sin.f64 ky) (sin.f64 ky)) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal 1/120 binary64) (.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (* (sin th) (sin ky)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) #s(literal 1/120 binary64))) (.f64 th th))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (sin th) (sin.f64 th))

eval101.0ms (1.1%)

Memory: 0.1MiB live, 187.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 458 to 1 825 computations (71.7% saved)

prune155.0ms (1.7%)

Memory

-62.4MiB live, 172.5MiB allocated; 95ms collecting garbage

Pruning

70 alts after pruning (63 fresh and 7 done)

	Pruned	Kept	Total
New	454	34	488
Fresh	10	29	39
Picked	1	4	5
Done	0	3	3
Total	465	70	535

Accuracy

100.0%

Counts

535 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	52.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	53.8%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
	50.0%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	49.8%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
▶	59.1%	(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	33.7%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
✓	49.9%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	29.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
	29.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
	29.1%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	49.8%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	31.3%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))))
	42.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
	15.6%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
	23.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
	25.3%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
	23.5%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
	26.9%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
	24.6%	(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	49.7%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	53.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	54.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	56.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
	82.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (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))
	16.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	44.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	44.0%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	39.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	61.2%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	63.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	27.0%	(*.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))))) #s(approx (sin th) th))
▶	30.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	63.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
▶	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
	38.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
▶	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	43.5%	(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
	33.7%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
	33.8%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	44.1%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
	60.5%	(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
	38.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	49.8%	(.f64 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	60.3%	(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))))
✓	36.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
	16.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
✓	19.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
▶	13.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
	36.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
✓	36.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
	19.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	21.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
	38.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))

Compiler

Compiled 2 700 to 2 402 computations (11% saved)

series32.0ms (0.3%)

Memory

40.9MiB live, 85.8MiB allocated; 3ms collecting garbage

Counts

34 → 100

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	ky	@	0	((* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (sin th)) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (sin kx) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs (sin kx)))
4.0ms	ky	@	-inf	((* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (sin th)) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (sin kx) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs (sin kx)))
3.0ms	kx	@	inf	((* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (sin th)) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (sin kx) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs (sin kx)))
3.0ms	kx	@	-inf	((* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (sin th)) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (sin kx) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs (sin kx)))
3.0ms	ky	@	inf	((* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (sin th)) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin th) ky) (fabs (sin kx))) (* (sin th) ky) (sin th) (fabs (sin kx)) (sin kx) (* (/ (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin ky) (sin th)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs (sin kx)))

rewrite299.0ms (3.2%)

Memory

-18.9MiB live, 315.7MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	677	4843
0	722	4139
1	5552	4077
0	8086	3885

Stop Event

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

Counts

134 → 461

Calls

Call 1

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

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

eval92.0ms (1%)

Memory: 40.0MiB live, 163.2MiB allocated; 59ms collecting garbage
Compiler: Compiled 6 308 to 1 982 computations (68.6% saved)

prune131.0ms (1.4%)

Memory

-33.6MiB live, 173.3MiB allocated; 73ms collecting garbage

Pruning

95 alts after pruning (85 fresh and 10 done)

	Pruned	Kept	Total
New	418	31	449
Fresh	4	54	58
Picked	2	3	5
Done	0	7	7
Total	424	95	519

Accuracy

100.0%

Counts

519 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	52.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	53.8%	(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
	59.1%	(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	50.0%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	49.8%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	39.7%	(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
	41.9%	(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
	29.7%	(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	44.0%	(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
	33.7%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
✓	49.9%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	29.1%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
	49.8%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	31.3%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))))
	42.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
	15.6%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
	23.0%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
	25.3%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
	23.5%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
	26.9%	(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
	24.6%	(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	25.6%	(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	49.7%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	53.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	54.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	56.2%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
	82.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (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))
	16.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	44.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	44.0%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	39.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	61.2%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	63.1%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	27.0%	(*.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))))) #s(approx (sin th) th))
	19.0%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	30.0%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
	28.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
	21.1%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
	29.6%	(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
✓	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
	24.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	21.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
	38.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
✓	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
	54.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))) (sin.f64 th))
	57.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
	28.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
	44.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
	59.0%	(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
	43.5%	(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
	33.7%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
	33.8%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	44.1%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
	30.9%	(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
	60.5%	(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
	30.9%	(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
	38.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	49.8%	(.f64 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	60.3%	(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))))
✓	36.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
	16.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
	12.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
✓	19.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	13.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
✓	13.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
	13.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
	12.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
	13.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
	36.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
	19.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
	13.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
	28.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
✓	36.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
	19.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	13.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
	21.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
	15.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
	38.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))

Compiler

Compiled 3 242 to 2 243 computations (30.8% saved)

regimes323.0ms (3.5%)

Memory

-13.8MiB live, 406.5MiB allocated; 41ms collecting garbage

Counts

121 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
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(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.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))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (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 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (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) 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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (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 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))))

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

Calls

9 calls:

61.0ms	ky
36.0ms	(sin.f64 kx)
34.0ms	(*.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))
33.0ms	th
32.0ms	(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)

regimes277.0ms (3%)

Memory

16.1MiB live, 397.9MiB allocated; 50ms collecting garbage

Counts

109 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.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))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.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:

47.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
31.0ms	(sin.f64 kx)
30.0ms	kx
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))
28.0ms	(sin.f64 th)

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)

regimes279.0ms (3%)

Memory

-5.5MiB live, 278.5MiB allocated; 20ms collecting garbage

Counts

108 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.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))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

Outputs
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))

Calls

9 calls:

47.0ms	(sin.f64 kx)
35.0ms	(sin.f64 ky)
29.0ms	ky
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))
28.0ms	th

Results

Accuracy	Segments	Branch
84.9%	4	`(sin.f64 th)`
78.4%	3	`(sin.f64 kx)`
80.9%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
78.5%	2	`(sin.f64 ky)`
88.9%	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)))))`
73.6%	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))`
78.4%	2	`kx`
81.7%	3	`ky`
83.2%	2	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes30.0ms (0.3%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Counts

107 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.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))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))) (sin.f64 th))

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

Calls

1 calls:

24.0ms

(/.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
88.9%	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)

regimes31.0ms (0.3%)

Memory

-12.1MiB live, 32.9MiB allocated; 3ms collecting garbage

Counts

104 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))))

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

Calls

1 calls:

26.0ms

(/.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
88.8%	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)

regimes43.0ms (0.5%)

Memory

-13.6MiB live, 32.0MiB allocated; 2ms collecting garbage

Counts

101 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx ( (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))

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

Calls

1 calls:

38.0ms

(/.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
88.6%	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 (0.3%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

98 → 5

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) 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
88.6%	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)

regimes36.0ms (0.4%)

Memory

-14.9MiB live, 30.3MiB allocated; 3ms collecting garbage

Counts

93 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))

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

Calls

1 calls:

31.0ms

(/.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
88.6%	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

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

92 → 5

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))

Outputs
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (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
88.6%	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)

regimes137.0ms (1.5%)

Memory

-8.9MiB live, 229.2MiB allocated; 26ms collecting garbage

Counts

89 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))) (sin.f64 ky))) (sin.f64 th))

Outputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))

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

Calls

5 calls:

26.0ms	(sin.f64 th)
26.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
24.0ms	ky
23.0ms	th
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
71.2%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
78.6%	2	`ky`
63.1%	1	`(sin.f64 th)`
63.1%	1	`th`
78.5%	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 20 to 27 computations (-35% saved)

regimes53.0ms (0.6%)

Memory

2.2MiB live, 92.9MiB allocated; 8ms collecting garbage

Counts

83 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 (.f64 (sin.f64 th) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky)))

Outputs

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

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

Calls

2 calls:

26.0ms	(sin.f64 ky)
23.0ms	ky

Results

Accuracy	Segments	Branch
78.5%	2	`(sin.f64 ky)`
78.5%	2	`ky`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes800.0ms (8.6%)

Memory

-141.1MiB live, 217.8MiB allocated; 1.1s collecting garbage

Counts

76 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 #s(approx (* (sin th) (sin ky)) #s(approx (* (sin ky) th) (*.f64 th ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #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 ky 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(.f64 #s(approx (sin ky) ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky 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 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(literal -1 binary64)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) (hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)) (sin.f64 ky)))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.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) (sin.f64 th)) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))

Outputs

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

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

Calls

6 calls:

672.0ms	(/.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)))))
32.0ms	kx
24.0ms	(*.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))
24.0ms	(sin.f64 kx)
24.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
63.1%	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))`
63.1%	1	`(sin.f64 kx)`
65.7%	2	`kx`
66.4%	2	`ky`
71.3%	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)))))`
71.3%	2	`(sin.f64 ky)`

Compiler

Compiled 33 to 38 computations (-15.2% saved)

regimes52.0ms (0.6%)

Memory

32.5MiB live, 79.8MiB allocated; 15ms collecting garbage

Counts

50 → 3

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))

Outputs

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

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

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

3 calls:

26.0ms	(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)))))
12.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
60.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
57.7%	3	`(sin.f64 ky)`
70.3%	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 18 to 21 computations (-16.7% saved)

regimes118.0ms (1.3%)

Memory

6.2MiB live, 187.9MiB allocated; 31ms collecting garbage

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.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))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))

Outputs

(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th)) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))

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

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

7 calls:

26.0ms	(*.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))
17.0ms	(sin.f64 kx)
17.0ms	kx
16.0ms	(/.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

Results

Accuracy	Segments	Branch
54.2%	3	`th`
57.6%	4	`(*.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))`
54.2%	3	`(sin.f64 th)`
60.9%	3	`(sin.f64 kx)`
60.9%	2	`kx`
49.6%	2	`ky`
65.0%	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 34 to 41 computations (-20.6% saved)

regimes16.0ms (0.2%)

Memory

-13.0MiB live, 30.2MiB allocated; 6ms collecting garbage

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 #s(approx (* (sin th) (sin ky)) (.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))

Outputs

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

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

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

1 calls:

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)))))

Results

Accuracy	Segments	Branch
63.8%	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 12 to 11 computations (8.3% saved)

regimes16.0ms (0.2%)

Memory

-16.5MiB live, 28.0MiB allocated; 8ms collecting garbage

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))

Outputs

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

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

1 calls:

9.0ms

(/.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
61.8%	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 12 to 11 computations (8.3% saved)

regimes11.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx))))

Outputs

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

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

1 calls:

9.0ms

(/.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
61.3%	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)

regimes132.0ms (1.4%)

Memory

-2.7MiB live, 182.3MiB allocated; 72ms collecting garbage

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky)))))) (sin.f64 th))

Outputs

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

Calls

8 calls:

52.0ms	(sin.f64 kx)
14.0ms	(*.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))
13.0ms	(sin.f64 th)
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)))))
10.0ms	th

Results

Accuracy	Segments	Branch
51.5%	3	`(sin.f64 th)`
51.4%	2	`th`
49.7%	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))`
44.1%	1	`(sin.f64 ky)`
50.4%	3	`(sin.f64 kx)`
50.9%	2	`kx`
50.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
49.0%	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 39 to 48 computations (-23.1% saved)

regimes61.0ms (0.7%)

Memory

-6.1MiB live, 40.6MiB allocated; 3ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))

Outputs

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

(/.f64 (*.f64 #s(approx (sin ky) ky) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))

Calls

2 calls:

50.0ms	kx
9.0ms	th

Results

Accuracy	Segments	Branch
50.9%	2	`kx`
49.4%	3	`th`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

-16.4MiB live, 38.1MiB allocated; 5ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

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

Calls

2 calls:

8.0ms	kx
7.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
49.2%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
50.1%	2	`kx`

Compiler

Compiled 5 to 9 computations (-80% saved)

regimes9.0ms (0.1%)

Memory

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

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th))

Outputs

(*.f64 (*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)))) (sin.f64 th))

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

Calls

1 calls:

7.0ms

kx

Results

Accuracy	Segments	Branch
50.1%	2	`kx`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes100.0ms (1.1%)

Memory

-5.9MiB live, 132.5MiB allocated; 8ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx)))) #s(approx (sin ky) ky))) (sin.f64 th))

Outputs

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

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

Calls

9 calls:

27.0ms	(*.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))
23.0ms	(sin.f64 th)
9.0ms	(sin.f64 ky)
7.0ms	(sin.f64 kx)
7.0ms	th

Results

Accuracy	Segments	Branch
32.7%	2	`(sin.f64 ky)`
37.4%	4	`(/.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)))))`
33.1%	2	`th`
32.9%	2	`(*.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))`
36.9%	3	`(sin.f64 kx)`
36.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
33.0%	2	`ky`
34.4%	3	`(sin.f64 th)`
37.3%	2	`kx`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes8.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))))) (sin.f64 th))

Outputs

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

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

Calls

1 calls:

6.0ms

kx

Results

Accuracy	Segments	Branch
37.3%	2	`kx`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (pow (sin kx) 2) (.f64 kx kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))

Outputs

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

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

Calls

1 calls:

6.0ms

kx

Results

Accuracy	Segments	Branch
37.2%	2	`kx`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes58.0ms (0.6%)

Memory

-10.6MiB live, 128.2MiB allocated; 12ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky))))

Outputs

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

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

Calls

9 calls:

10.0ms	kx
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)))))
5.0ms	(sin.f64 th)
5.0ms	(*.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))
5.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
24.5%	2	`(sin.f64 ky)`
29.1%	4	`(sin.f64 th)`
25.1%	2	`(*.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))`
24.5%	2	`ky`
27.5%	2	`th`
29.6%	4	`(/.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)))))`
28.5%	4	`(sin.f64 kx)`
28.4%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
28.6%	3	`kx`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes39.0ms (0.4%)

Memory

-7.7MiB live, 92.8MiB allocated; 7ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))

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

Calls

9 calls:

7.0ms	(*.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))
5.0ms	kx
4.0ms	ky
4.0ms	(sin.f64 th)
4.0ms	th

Results

Accuracy	Segments	Branch
21.7%	1	`(sin.f64 ky)`
21.7%	1	`ky`
21.7%	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))`
21.7%	1	`(sin.f64 kx)`
21.7%	1	`(sin.f64 th)`
21.7%	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)))))`
21.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
21.7%	1	`kx`
21.7%	1	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes31.0ms (0.3%)

Memory

20.5MiB live, 66.7MiB allocated; 2ms collecting garbage

Accuracy

Total -2.7b remaining (-5%)

Threshold costs -2.7b (-5%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 #s(approx (sin kx) kx)) (*.f64 #s(approx (sin th) th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))

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

Calls

9 calls:

5.0ms	(*.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))
3.0ms	ky
3.0ms	th
3.0ms	(sin.f64 th)
3.0ms	kx

Results

Accuracy	Segments	Branch
15.4%	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)))))`
15.4%	1	`(sin.f64 ky)`
15.4%	1	`kx`
15.4%	1	`ky`
15.4%	1	`th`
15.4%	1	`(sin.f64 th)`
15.4%	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))`
15.4%	1	`(sin.f64 kx)`
15.4%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch21.0ms (0.2%)

Memory

-44.3MiB live, 2.6MiB allocated; 2ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988763217653044	0.9999999972872315
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9943031295355098	0.9988763217653044
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.0744291285565744	-0.016500046398758517
0.0ms	-0.9997318397933501	-0.9996634351865405

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch20.0ms (0.2%)

Memory

35.5MiB live, 35.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.474745502021214e-6	0.00017875549794609726

Samples

14.0ms

112×

valid

Compiler

Compiled 285 to 256 computations (10.2% saved)

Precisions

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

ival-sin: 7.0ms (64.2% of total)

ival-pow2: 2.0ms (18.3% of total)

ival-sqrt: 1.0ms (9.2% 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)

bsearch21.0ms (0.2%)

Memory

-45.4MiB live, 1.5MiB allocated; 2ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003597115712450492	8.56233226229924e-305

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0744291285565744	-0.016500046398758517

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.016500046398758517	-0.003970995835060498

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.7187505777312697	-0.7004838182605683

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.085347003505419e-5	0.05768646517190612
0.0ms	-0.016500046398758517	-0.003970995835060498

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.085347003505419e-5	0.05768646517190612

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.122539316683587e-11	2.9952872768089256e-9

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch29.0ms (0.3%)

Memory

-9.3MiB live, 47.5MiB allocated; 14ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.0186177852305275	5.836746828388824

Samples

22.0ms

128×

valid

Compiler

Compiled 299 to 274 computations (8.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 14.0ms (74.6% of total)

ival-pow2: 2.0ms (10.7% of total)

ival-sqrt: 1.0ms (5.3% of total)

ival-div!: 1.0ms (5.3% of total)

ival-mult!: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

2.7MiB live, 48.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.812270922607931e+97	9.239702996448994e+98

Samples

17.0ms

112×

valid

Compiler

Compiled 250 to 235 computations (6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 10.0ms (69% of total)

ival-pow2: 2.0ms (13.8% of total)

ival-sqrt: 1.0ms (6.9% 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)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.812270922607931e+97	9.239702996448994e+98

Compiler

Compiled 327 to 305 computations (6.7% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.812270922607931e+97	9.239702996448994e+98

Compiler

Compiled 306 to 291 computations (4.9% saved)

bsearch25.0ms (0.3%)

Memory

-0.5MiB live, 41.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.526527851104222e+72	1.0421449409999196e+74

Samples

19.0ms

112×

valid

Compiler

Compiled 348 to 319 computations (8.3% saved)

Precisions

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

ival-sin: 8.0ms (50.4% of total)

ival-mult!: 4.0ms (25.2% of total)

ival-pow2: 2.0ms (12.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.526527851104222e+72	1.0421449409999196e+74

Compiler

Compiled 334 to 305 computations (8.7% saved)

bsearch26.0ms (0.3%)

Memory

15.5MiB live, 61.2MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.04664979263712e+67	2.9938392207524244e+70

Samples

19.0ms

128×

valid

Compiler

Compiled 339 to 306 computations (9.7% saved)

Precisions

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

ival-sin: 12.0ms (75% of total)

ival-pow2: 2.0ms (12.5% 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)

bsearch20.0ms (0.2%)

Memory

-18.5MiB live, 39.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0019530109032971277	0.0186177852305275

Samples

15.0ms

96×

valid

Compiler

Compiled 271 to 258 computations (4.8% saved)

Precisions

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

ival-sin: 5.0ms (41.1% of total)

ival-sqrt: 4.0ms (32.9% of total)

ival-pow2: 2.0ms (16.4% 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)

derivations1.1s (12%)

Memory

56.8MiB live, 1 223.9MiB allocated; 215ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 465 to 207 computations (55.5% saved)

preprocess1.1s (12.2%)

Memory

-45.0MiB live, 1 287.0MiB allocated; 288ms collecting garbage

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 11 026 to 8 180 computations (25.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze224.0ms (2.4%)

sample2.0s (21.9%)

preprocess56.0ms (0.6%)

series32.0ms (0.3%)

rewrite184.0ms (2%)

eval27.0ms (0.3%)

prune19.0ms (0.2%)

series52.0ms (0.6%)

rewrite227.0ms (2.5%)

eval79.0ms (0.9%)

prune56.0ms (0.6%)

series41.0ms (0.4%)

rewrite247.0ms (2.7%)

eval101.0ms (1.1%)

prune155.0ms (1.7%)

series32.0ms (0.3%)

rewrite299.0ms (3.2%)

eval92.0ms (1%)

prune131.0ms (1.4%)

regimes323.0ms (3.5%)

regimes277.0ms (3%)

regimes279.0ms (3%)

regimes30.0ms (0.3%)

regimes31.0ms (0.3%)

regimes43.0ms (0.5%)

regimes27.0ms (0.3%)

regimes36.0ms (0.4%)

regimes26.0ms (0.3%)

regimes137.0ms (1.5%)

regimes53.0ms (0.6%)

regimes800.0ms (8.6%)

regimes52.0ms (0.6%)

regimes118.0ms (1.3%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes132.0ms (1.4%)

regimes61.0ms (0.7%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes100.0ms (1.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes58.0ms (0.6%)

regimes39.0ms (0.4%)

regimes31.0ms (0.3%)

bsearch1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

bsearch20.0ms (0.2%)

derivations1.1s (12%)

preprocess1.1s (12.2%)

end0.0ms (0%)

Profiling